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Arhimed - Wikipedija, prosta enciklopedija
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neprijavljene urejevalce <a href="/wiki/Pomo%C4%8D:Uvod" aria-label="Več o urejanju"><span>več o tem</span></a> </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-anoncontribs" class="mw-list-item"><a href="/wiki/Posebno:MojiPrispevki" title="Seznam urejanj s tega IP-naslova [y]" accesskey="y"><span>Prispevki</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/Posebno:MojPogovor" title="Pogovor o urejanjih s tega IP-naslova [n]" accesskey="n"><span>Pogovorna stran</span></a></li> </ul> </div> </div> </div> </div> </nav> </div> </header> </div> <div class="mw-page-container"> <div class="mw-page-container-inner"> <div class="vector-sitenotice-container"> <div id="siteNotice"><!-- CentralNotice --></div> </div> <div class="vector-column-start"> <div class="vector-main-menu-container"> <div id="mw-navigation"> <nav id="mw-panel" class="vector-main-menu-landmark" aria-label="Projekt"> <div id="vector-main-menu-pinned-container" class="vector-pinned-container"> </div> </nav> </div> </div> <div class="vector-sticky-pinned-container"> <nav id="mw-panel-toc" aria-label="Vsebina" data-event-name="ui.sidebar-toc" class="mw-table-of-contents-container vector-toc-landmark"> <div id="vector-toc-pinned-container" class="vector-pinned-container"> <div id="vector-toc" class="vector-toc vector-pinnable-element"> <div class="vector-pinnable-header vector-toc-pinnable-header vector-pinnable-header-pinned" data-feature-name="toc-pinned" data-pinnable-element-id="vector-toc" > <h2 class="vector-pinnable-header-label">Vsebina</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">prestavi v stransko letvico</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">skrij</button> </div> <ul class="vector-toc-contents" id="mw-panel-toc-list"> <li id="toc-mw-content-text" class="vector-toc-list-item vector-toc-level-1"> <a href="#" class="vector-toc-link"> <div class="vector-toc-text">Uvod</div> </a> </li> <li id="toc-Življenje" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Življenje"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Življenje</span> </div> </a> <ul id="toc-Življenje-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Odkritja_in_iznajdbe" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Odkritja_in_iznajdbe"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Odkritja in iznajdbe</span> </div> </a> <button aria-controls="toc-Odkritja_in_iznajdbe-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Vklopi podrazdelek Odkritja in iznajdbe</span> </button> <ul id="toc-Odkritja_in_iznajdbe-sublist" class="vector-toc-list"> <li id="toc-Arhimedov_zakon" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Arhimedov_zakon"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.1</span> <span>Arhimedov zakon</span> </div> </a> <ul id="toc-Arhimedov_zakon-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Arhimedov_vijak" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Arhimedov_vijak"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.2</span> <span>Arhimedov vijak</span> </div> </a> <ul id="toc-Arhimedov_vijak-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Arhimedov_krempelj" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Arhimedov_krempelj"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.3</span> <span>Arhimedov krempelj</span> </div> </a> <ul id="toc-Arhimedov_krempelj-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Toplotni_žarek" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Toplotni_žarek"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.4</span> <span>Toplotni žarek</span> </div> </a> <ul id="toc-Toplotni_žarek-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Druga_odkritja_in_iznajdbe" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Druga_odkritja_in_iznajdbe"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.5</span> <span>Druga odkritja in iznajdbe</span> </div> </a> <ul id="toc-Druga_odkritja_in_iznajdbe-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Matematika" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Matematika"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Matematika</span> </div> </a> <button aria-controls="toc-Matematika-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Vklopi podrazdelek Matematika</span> </button> <ul id="toc-Matematika-sublist" class="vector-toc-list"> <li id="toc-Merjenje_kroga" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Merjenje_kroga"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.1</span> <span><i>Merjenje kroga</i></span> </div> </a> <ul id="toc-Merjenje_kroga-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Kvadratni_koren_števila_3" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Kvadratni_koren_števila_3"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.2</span> <span>Kvadratni koren števila 3</span> </div> </a> <ul id="toc-Kvadratni_koren_števila_3-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Krogla_in_valj" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Krogla_in_valj"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.3</span> <span><i>Krogla in valj</i></span> </div> </a> <ul id="toc-Krogla_in_valj-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Kvadratura_parabole" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Kvadratura_parabole"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.4</span> <span><i>Kvadratura parabole</i></span> </div> </a> <ul id="toc-Kvadratura_parabole-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Izračun_peščenih_zrn" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Izračun_peščenih_zrn"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.5</span> <span><i>Izračun peščenih zrn</i></span> </div> </a> <ul id="toc-Izračun_peščenih_zrn-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Spisi" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Spisi"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Spisi</span> </div> </a> <button aria-controls="toc-Spisi-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Vklopi podrazdelek Spisi</span> </button> <ul id="toc-Spisi-sublist" class="vector-toc-list"> <li id="toc-Ohranjena_dela" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Ohranjena_dela"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.1</span> <span>Ohranjena dela</span> </div> </a> <ul id="toc-Ohranjena_dela-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Izgubljena_dela" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Izgubljena_dela"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.2</span> <span>Izgubljena dela</span> </div> </a> <ul id="toc-Izgubljena_dela-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Arhimedu_pripisana_dela" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Arhimedu_pripisana_dela"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.3</span> <span>Arhimedu pripisana dela</span> </div> </a> <ul id="toc-Arhimedu_pripisana_dela-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Arhimedov_palimpsest" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Arhimedov_palimpsest"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span><i>Arhimedov palimpsest</i></span> </div> </a> <ul id="toc-Arhimedov_palimpsest-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Zapuščina" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Zapuščina"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>Zapuščina</span> </div> </a> <ul id="toc-Zapuščina-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Glej_tudi" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Glej_tudi"> <div class="vector-toc-text"> <span class="vector-toc-numb">7</span> <span>Glej tudi</span> </div> </a> <ul id="toc-Glej_tudi-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Sklici" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Sklici"> <div class="vector-toc-text"> <span class="vector-toc-numb">8</span> <span>Sklici</span> </div> </a> <ul id="toc-Sklici-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Viri" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Viri"> <div class="vector-toc-text"> <span class="vector-toc-numb">9</span> <span>Viri</span> </div> </a> <ul id="toc-Viri-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Zunanje_povezave" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Zunanje_povezave"> <div class="vector-toc-text"> <span class="vector-toc-numb">10</span> <span>Zunanje povezave</span> </div> </a> <ul id="toc-Zunanje_povezave-sublist" class="vector-toc-list"> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="Vsebina" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="Vklopi kazalo vsebine" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-listBullet mw-ui-icon-wikimedia-listBullet"></span> <span class="vector-dropdown-label-text">Vklopi kazalo vsebine</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-titlebar-toc-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">Arhimed</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="P9jdi na članek v drugem jeziku. Na voljo v 183 jezikih." > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-183" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">183 jezikov</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-af mw-list-item"><a href="https://af.wikipedia.org/wiki/Archimedes" title="Archimedes – afrikanščina" lang="af" hreflang="af" data-title="Archimedes" data-language-autonym="Afrikaans" data-language-local-name="afrikanščina" class="interlanguage-link-target"><span>Afrikaans</span></a></li><li class="interlanguage-link interwiki-als mw-list-item"><a href="https://als.wikipedia.org/wiki/Archimedes" title="Archimedes – nemščina (Švica)" lang="gsw" hreflang="gsw" data-title="Archimedes" data-language-autonym="Alemannisch" data-language-local-name="nemščina (Švica)" class="interlanguage-link-target"><span>Alemannisch</span></a></li><li class="interlanguage-link interwiki-am mw-list-item"><a href="https://am.wikipedia.org/wiki/%E1%8A%A0%E1%88%AD%E1%8A%AA%E1%88%9C%E1%8B%B4%E1%88%B5" title="አርኪሜዴስ – amharščina" lang="am" hreflang="am" data-title="አርኪሜዴስ" data-language-autonym="አማርኛ" data-language-local-name="amharščina" class="interlanguage-link-target"><span>አማርኛ</span></a></li><li class="interlanguage-link interwiki-an mw-list-item"><a href="https://an.wikipedia.org/wiki/Arquimedes" title="Arquimedes – aragonščina" lang="an" hreflang="an" data-title="Arquimedes" data-language-autonym="Aragonés" data-language-local-name="aragonščina" class="interlanguage-link-target"><span>Aragonés</span></a></li><li class="interlanguage-link interwiki-ann mw-list-item"><a href="https://ann.wikipedia.org/wiki/Achimedis" title="Achimedis – obolo" lang="ann" hreflang="ann" data-title="Achimedis" data-language-autonym="Obolo" data-language-local-name="obolo" class="interlanguage-link-target"><span>Obolo</span></a></li><li class="interlanguage-link interwiki-anp mw-list-item"><a href="https://anp.wikipedia.org/wiki/%E0%A4%86%E0%A4%B0%E0%A5%8D%E0%A4%95%E0%A4%BF%E0%A4%AE%E0%A4%BF%E0%A4%A1%E0%A5%80%E0%A4%9C" title="आर्किमिडीज – angikaščina" lang="anp" hreflang="anp" data-title="आर्किमिडीज" data-language-autonym="अंगिका" data-language-local-name="angikaščina" class="interlanguage-link-target"><span>अंगिका</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%A3%D8%B1%D8%AE%D9%85%D9%8A%D8%AF%D8%B3" title="أرخميدس – arabščina" lang="ar" hreflang="ar" data-title="أرخميدس" data-language-autonym="العربية" data-language-local-name="arabščina" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-arz mw-list-item"><a href="https://arz.wikipedia.org/wiki/%D8%A7%D8%B1%D8%AE%D9%85%D9%8A%D8%AF%D9%8A%D8%B3" title="ارخميديس – Egyptian Arabic" lang="arz" hreflang="arz" data-title="ارخميديس" data-language-autonym="مصرى" data-language-local-name="Egyptian Arabic" class="interlanguage-link-target"><span>مصرى</span></a></li><li class="interlanguage-link interwiki-as mw-list-item"><a href="https://as.wikipedia.org/wiki/%E0%A6%86%E0%A7%B0%E0%A7%8D%E0%A6%95%E0%A6%BF%E0%A6%AE%E0%A6%BF%E0%A6%A1%E0%A6%BF%E0%A6%9B" title="আৰ্কিমিডিছ – asamščina" lang="as" hreflang="as" data-title="আৰ্কিমিডিছ" data-language-autonym="অসমীয়া" data-language-local-name="asamščina" class="interlanguage-link-target"><span>অসমীয়া</span></a></li><li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://ast.wikipedia.org/wiki/Arqu%C3%ADmedes" title="Arquímedes – asturijščina" lang="ast" hreflang="ast" data-title="Arquímedes" data-language-autonym="Asturianu" data-language-local-name="asturijščina" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-av mw-list-item"><a href="https://av.wikipedia.org/wiki/%D0%90%D1%80%D1%85%D0%B8%D0%BC%D0%B5%D0%B4" title="Архимед – avarščina" lang="av" hreflang="av" data-title="Архимед" data-language-autonym="Авар" data-language-local-name="avarščina" class="interlanguage-link-target"><span>Авар</span></a></li><li class="interlanguage-link interwiki-awa mw-list-item"><a href="https://awa.wikipedia.org/wiki/%E0%A4%86%E0%A4%B0%E0%A5%8D%E0%A4%95%E0%A5%80%E0%A4%AE%E0%A4%BF%E0%A4%A1%E0%A5%80%E0%A4%9C" title="आर्कीमिडीज – avadščina" lang="awa" hreflang="awa" data-title="आर्कीमिडीज" data-language-autonym="अवधी" data-language-local-name="avadščina" class="interlanguage-link-target"><span>अवधी</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/Arximed" title="Arximed – azerbajdžanščina" lang="az" hreflang="az" data-title="Arximed" data-language-autonym="Azərbaycanca" data-language-local-name="azerbajdžanščina" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-azb mw-list-item"><a href="https://azb.wikipedia.org/wiki/%D8%A7%D8%B1%D8%B4%D9%85%DB%8C%D8%AF%D9%88%D8%B3" title="ارشمیدوس – South Azerbaijani" lang="azb" hreflang="azb" data-title="ارشمیدوس" data-language-autonym="تۆرکجه" data-language-local-name="South Azerbaijani" class="interlanguage-link-target"><span>تۆرکجه</span></a></li><li class="interlanguage-link interwiki-ba mw-list-item"><a href="https://ba.wikipedia.org/wiki/%D0%90%D1%80%D1%85%D0%B8%D0%BC%D0%B5%D0%B4" title="Архимед – baškirščina" lang="ba" hreflang="ba" data-title="Архимед" data-language-autonym="Башҡортса" data-language-local-name="baškirščina" class="interlanguage-link-target"><span>Башҡортса</span></a></li><li class="interlanguage-link interwiki-bar mw-list-item"><a href="https://bar.wikipedia.org/wiki/Archimedes" title="Archimedes – Bavarian" lang="bar" hreflang="bar" data-title="Archimedes" data-language-autonym="Boarisch" data-language-local-name="Bavarian" class="interlanguage-link-target"><span>Boarisch</span></a></li><li class="interlanguage-link interwiki-bat-smg mw-list-item"><a href="https://bat-smg.wikipedia.org/wiki/Archimeds" title="Archimeds – Samogitian" lang="sgs" hreflang="sgs" data-title="Archimeds" data-language-autonym="Žemaitėška" data-language-local-name="Samogitian" class="interlanguage-link-target"><span>Žemaitėška</span></a></li><li class="interlanguage-link interwiki-bcl mw-list-item"><a href="https://bcl.wikipedia.org/wiki/Archimedes" title="Archimedes – Central Bikol" lang="bcl" hreflang="bcl" data-title="Archimedes" data-language-autonym="Bikol Central" data-language-local-name="Central Bikol" class="interlanguage-link-target"><span>Bikol Central</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%90%D1%80%D1%85%D1%96%D0%BC%D0%B5%D0%B4" title="Архімед – beloruščina" lang="be" hreflang="be" data-title="Архімед" data-language-autonym="Беларуская" data-language-local-name="beloruščina" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-be-x-old mw-list-item"><a href="https://be-tarask.wikipedia.org/wiki/%D0%90%D1%80%D1%85%D1%96%D0%BC%D1%8D%D0%B4" title="Архімэд – Belarusian (Taraškievica orthography)" lang="be-tarask" hreflang="be-tarask" data-title="Архімэд" data-language-autonym="Беларуская (тарашкевіца)" data-language-local-name="Belarusian (Taraškievica orthography)" class="interlanguage-link-target"><span>Беларуская (тарашкевіца)</span></a></li><li class="interlanguage-link interwiki-bew mw-list-item"><a href="https://bew.wikipedia.org/wiki/Arkim%C3%A8d%C3%A8s" title="Arkimèdès – Betawi" lang="bew" hreflang="bew" data-title="Arkimèdès" data-language-autonym="Betawi" data-language-local-name="Betawi" class="interlanguage-link-target"><span>Betawi</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%90%D1%80%D1%85%D0%B8%D0%BC%D0%B5%D0%B4" title="Архимед – bolgarščina" lang="bg" hreflang="bg" data-title="Архимед" data-language-autonym="Български" data-language-local-name="bolgarščina" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bh mw-list-item"><a href="https://bh.wikipedia.org/wiki/%E0%A4%86%E0%A4%B0%E0%A5%8D%E0%A4%95%E0%A4%AE%E0%A5%87%E0%A4%A1%E0%A5%80%E0%A4%B8%E0%A4%BC" title="आर्कमेडीस़ – Bhojpuri" lang="bh" hreflang="bh" data-title="आर्कमेडीस़" data-language-autonym="भोजपुरी" data-language-local-name="Bhojpuri" class="interlanguage-link-target"><span>भोजपुरी</span></a></li><li class="interlanguage-link interwiki-bi mw-list-item"><a href="https://bi.wikipedia.org/wiki/Archimedes" title="Archimedes – bislamščina" lang="bi" hreflang="bi" data-title="Archimedes" data-language-autonym="Bislama" data-language-local-name="bislamščina" class="interlanguage-link-target"><span>Bislama</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%86%E0%A6%B0%E0%A7%8D%E0%A6%95%E0%A6%BF%E0%A6%AE%E0%A6%BF%E0%A6%A1%E0%A6%BF%E0%A6%B8" title="আর্কিমিডিস – bengalščina" lang="bn" hreflang="bn" data-title="আর্কিমিডিস" data-language-autonym="বাংলা" data-language-local-name="bengalščina" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-bo mw-list-item"><a href="https://bo.wikipedia.org/wiki/%E0%BD%A8%E0%BD%A2%E0%BC%8B%E0%BD%81%E0%BD%B2%E0%BC%8B%E0%BD%98%E0%BD%BA%E0%BD%A0%E0%BD%B4%E0%BC%8B%E0%BD%8F%E0%BD%BA%E0%BC%8B%E0%BD%A6%E0%BD%B2%E0%BC%8D" title="ཨར་ཁི་མེའུ་ཏེ་སི། – tibetanščina" lang="bo" hreflang="bo" data-title="ཨར་ཁི་མེའུ་ཏེ་སི།" data-language-autonym="བོད་ཡིག" data-language-local-name="tibetanščina" class="interlanguage-link-target"><span>བོད་ཡིག</span></a></li><li class="interlanguage-link interwiki-br mw-list-item"><a href="https://br.wikipedia.org/wiki/Arc%27himedes" title="Arc'himedes – bretonščina" lang="br" hreflang="br" data-title="Arc'himedes" data-language-autonym="Brezhoneg" data-language-local-name="bretonščina" class="interlanguage-link-target"><span>Brezhoneg</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Arhimed" title="Arhimed – bosanščina" lang="bs" hreflang="bs" data-title="Arhimed" data-language-autonym="Bosanski" data-language-local-name="bosanščina" class="interlanguage-link-target"><span>Bosanski</span></a></li><li class="interlanguage-link interwiki-btm mw-list-item"><a href="https://btm.wikipedia.org/wiki/Archimedes" title="Archimedes – Batak Mandailing" lang="btm" hreflang="btm" data-title="Archimedes" data-language-autonym="Batak Mandailing" data-language-local-name="Batak Mandailing" class="interlanguage-link-target"><span>Batak Mandailing</span></a></li><li class="interlanguage-link interwiki-bxr mw-list-item"><a href="https://bxr.wikipedia.org/wiki/%D0%90%D1%80%D1%85%D0%B8%D0%BC%D0%B5%D0%B4" title="Архимед – Russia Buriat" lang="bxr" hreflang="bxr" data-title="Архимед" data-language-autonym="Буряад" data-language-local-name="Russia Buriat" class="interlanguage-link-target"><span>Буряад</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Arquimedes" title="Arquimedes – katalonščina" lang="ca" hreflang="ca" data-title="Arquimedes" data-language-autonym="Català" data-language-local-name="katalonščina" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-ce mw-list-item"><a href="https://ce.wikipedia.org/wiki/%D0%90%D1%80%D1%85%D0%B8%D0%BC%D0%B5%D0%B4" title="Архимед – čečenščina" lang="ce" hreflang="ce" data-title="Архимед" data-language-autonym="Нохчийн" data-language-local-name="čečenščina" class="interlanguage-link-target"><span>Нохчийн</span></a></li><li class="interlanguage-link interwiki-ceb mw-list-item"><a href="https://ceb.wikipedia.org/wiki/Archimedes" title="Archimedes – sebuanščina" lang="ceb" hreflang="ceb" data-title="Archimedes" data-language-autonym="Cebuano" data-language-local-name="sebuanščina" class="interlanguage-link-target"><span>Cebuano</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%D8%A6%D8%A7%D8%B1%DA%A9%DB%8C%D9%85%DB%8C%D8%AF%D8%B2" title="ئارکیمیدز – osrednja kurdščina" lang="ckb" hreflang="ckb" data-title="ئارکیمیدز" data-language-autonym="کوردی" data-language-local-name="osrednja kurdščina" class="interlanguage-link-target"><span>کوردی</span></a></li><li class="interlanguage-link interwiki-co mw-list-item"><a href="https://co.wikipedia.org/wiki/Archimede" title="Archimede – korziščina" lang="co" hreflang="co" data-title="Archimede" data-language-autonym="Corsu" data-language-local-name="korziščina" class="interlanguage-link-target"><span>Corsu</span></a></li><li class="interlanguage-link interwiki-crh mw-list-item"><a href="https://crh.wikipedia.org/wiki/Arhimed" title="Arhimed – krimska tatarščina" lang="crh" hreflang="crh" data-title="Arhimed" data-language-autonym="Qırımtatarca" data-language-local-name="krimska tatarščina" class="interlanguage-link-target"><span>Qırımtatarca</span></a></li><li class="interlanguage-link interwiki-cs badge-Q17437796 badge-featuredarticle mw-list-item" title="izbrani članek"><a href="https://cs.wikipedia.org/wiki/Archim%C3%A9d%C3%A9s" title="Archimédés – češčina" lang="cs" hreflang="cs" data-title="Archimédés" data-language-autonym="Čeština" data-language-local-name="češčina" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%90%D1%80%D1%85%D0%B8%D0%BC%D0%B5%D0%B4" title="Архимед – čuvaščina" lang="cv" hreflang="cv" data-title="Архимед" data-language-autonym="Чӑвашла" data-language-local-name="čuvaščina" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-cy mw-list-item"><a href="https://cy.wikipedia.org/wiki/Archimedes" title="Archimedes – valižanščina" lang="cy" hreflang="cy" data-title="Archimedes" data-language-autonym="Cymraeg" data-language-local-name="valižanščina" class="interlanguage-link-target"><span>Cymraeg</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Arkimedes" title="Arkimedes – danščina" lang="da" hreflang="da" data-title="Arkimedes" data-language-autonym="Dansk" data-language-local-name="danščina" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Archimedes" title="Archimedes – nemščina" lang="de" hreflang="de" data-title="Archimedes" data-language-autonym="Deutsch" data-language-local-name="nemščina" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-diq mw-list-item"><a href="https://diq.wikipedia.org/wiki/Ar%C5%9Fimed" title="Arşimed – Zazaki" lang="diq" hreflang="diq" data-title="Arşimed" data-language-autonym="Zazaki" data-language-local-name="Zazaki" class="interlanguage-link-target"><span>Zazaki</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%91%CF%81%CF%87%CE%B9%CE%BC%CE%AE%CE%B4%CE%B7%CF%82" title="Αρχιμήδης – grščina" lang="el" hreflang="el" data-title="Αρχιμήδης" data-language-autonym="Ελληνικά" data-language-local-name="grščina" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-en badge-Q17437796 badge-featuredarticle mw-list-item" title="izbrani članek"><a href="https://en.wikipedia.org/wiki/Archimedes" title="Archimedes – angleščina" lang="en" hreflang="en" data-title="Archimedes" data-language-autonym="English" data-language-local-name="angleščina" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Arkimedo" title="Arkimedo – esperanto" lang="eo" hreflang="eo" data-title="Arkimedo" data-language-autonym="Esperanto" data-language-local-name="esperanto" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-es badge-Q17437796 badge-featuredarticle mw-list-item" title="izbrani članek"><a href="https://es.wikipedia.org/wiki/Arqu%C3%ADmedes" title="Arquímedes – španščina" lang="es" hreflang="es" data-title="Arquímedes" data-language-autonym="Español" data-language-local-name="španščina" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Archimedes" title="Archimedes – estonščina" lang="et" hreflang="et" data-title="Archimedes" data-language-autonym="Eesti" data-language-local-name="estonščina" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Arkimedes" title="Arkimedes – baskovščina" lang="eu" hreflang="eu" data-title="Arkimedes" data-language-autonym="Euskara" data-language-local-name="baskovščina" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-ext mw-list-item"><a href="https://ext.wikipedia.org/wiki/Arqu%C3%ADmedi" title="Arquímedi – Extremaduran" lang="ext" hreflang="ext" data-title="Arquímedi" data-language-autonym="Estremeñu" data-language-local-name="Extremaduran" class="interlanguage-link-target"><span>Estremeñu</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%A7%D8%B1%D8%B4%D9%85%DB%8C%D8%AF%D8%B3" title="ارشمیدس – perzijščina" lang="fa" hreflang="fa" data-title="ارشمیدس" data-language-autonym="فارسی" data-language-local-name="perzijščina" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Arkhimedes" title="Arkhimedes – finščina" lang="fi" hreflang="fi" data-title="Arkhimedes" data-language-autonym="Suomi" data-language-local-name="finščina" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fiu-vro mw-list-item"><a href="https://fiu-vro.wikipedia.org/wiki/Archimedes" title="Archimedes – Võro" lang="vro" hreflang="vro" data-title="Archimedes" data-language-autonym="Võro" data-language-local-name="Võro" class="interlanguage-link-target"><span>Võro</span></a></li><li class="interlanguage-link interwiki-fo mw-list-item"><a href="https://fo.wikipedia.org/wiki/Arkimedes" title="Arkimedes – ferščina" lang="fo" hreflang="fo" data-title="Arkimedes" data-language-autonym="Føroyskt" data-language-local-name="ferščina" class="interlanguage-link-target"><span>Føroyskt</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Archim%C3%A8de" title="Archimède – francoščina" lang="fr" hreflang="fr" data-title="Archimède" data-language-autonym="Français" data-language-local-name="francoščina" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-frr mw-list-item"><a href="https://frr.wikipedia.org/wiki/Archimedes" title="Archimedes – severna frizijščina" lang="frr" hreflang="frr" data-title="Archimedes" data-language-autonym="Nordfriisk" data-language-local-name="severna frizijščina" class="interlanguage-link-target"><span>Nordfriisk</span></a></li><li class="interlanguage-link interwiki-fy mw-list-item"><a href="https://fy.wikipedia.org/wiki/Archimedes" title="Archimedes – zahodna frizijščina" lang="fy" hreflang="fy" data-title="Archimedes" data-language-autonym="Frysk" data-language-local-name="zahodna frizijščina" class="interlanguage-link-target"><span>Frysk</span></a></li><li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://ga.wikipedia.org/wiki/Aircim%C3%A9id%C3%A9as" title="Airciméidéas – irščina" lang="ga" hreflang="ga" data-title="Airciméidéas" data-language-autonym="Gaeilge" data-language-local-name="irščina" class="interlanguage-link-target"><span>Gaeilge</span></a></li><li class="interlanguage-link interwiki-gan mw-list-item"><a href="https://gan.wikipedia.org/wiki/%E9%98%BF%E5%9F%BA%E7%B1%B3%E5%BE%B7" title="阿基米德 – Gan" lang="gan" hreflang="gan" data-title="阿基米德" data-language-autonym="贛語" data-language-local-name="Gan" class="interlanguage-link-target"><span>贛語</span></a></li><li class="interlanguage-link interwiki-gcr mw-list-item"><a href="https://gcr.wikipedia.org/wiki/Archim%C3%A8d" title="Archimèd – Guianan Creole" lang="gcr" hreflang="gcr" data-title="Archimèd" data-language-autonym="Kriyòl gwiyannen" data-language-local-name="Guianan Creole" class="interlanguage-link-target"><span>Kriyòl gwiyannen</span></a></li><li class="interlanguage-link interwiki-gd mw-list-item"><a href="https://gd.wikipedia.org/wiki/Archimedes" title="Archimedes – škotska gelščina" lang="gd" hreflang="gd" data-title="Archimedes" data-language-autonym="Gàidhlig" data-language-local-name="škotska gelščina" class="interlanguage-link-target"><span>Gàidhlig</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Arqu%C3%ADmedes" title="Arquímedes – galicijščina" lang="gl" hreflang="gl" data-title="Arquímedes" data-language-autonym="Galego" data-language-local-name="galicijščina" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-gn mw-list-item"><a href="https://gn.wikipedia.org/wiki/Arqu%C3%ADmedes" title="Arquímedes – gvaranijščina" lang="gn" hreflang="gn" data-title="Arquímedes" data-language-autonym="Avañe'ẽ" data-language-local-name="gvaranijščina" class="interlanguage-link-target"><span>Avañe'ẽ</span></a></li><li class="interlanguage-link interwiki-gom mw-list-item"><a href="https://gom.wikipedia.org/wiki/%E0%A4%86%E0%A4%B0%E0%A5%8D%E0%A4%95%E0%A4%BF%E0%A4%AE%E0%A4%BF%E0%A4%A1%E0%A5%80%E0%A4%9C" title="आर्किमिडीज – Goan Konkani" lang="gom" hreflang="gom" data-title="आर्किमिडीज" data-language-autonym="गोंयची कोंकणी / Gõychi Konknni" data-language-local-name="Goan Konkani" class="interlanguage-link-target"><span>गोंयची कोंकणी / Gõychi Konknni</span></a></li><li class="interlanguage-link interwiki-gor mw-list-item"><a href="https://gor.wikipedia.org/wiki/Archimedes" title="Archimedes – gorontalščina" lang="gor" hreflang="gor" data-title="Archimedes" data-language-autonym="Bahasa Hulontalo" data-language-local-name="gorontalščina" class="interlanguage-link-target"><span>Bahasa Hulontalo</span></a></li><li class="interlanguage-link interwiki-gu mw-list-item"><a href="https://gu.wikipedia.org/wiki/%E0%AA%86%E0%AA%B0%E0%AB%8D%E0%AA%95%E0%AA%BF%E0%AA%AE%E0%AB%80%E0%AA%A1%E0%AB%80%E0%AA%9D" title="આર્કિમીડીઝ – gudžaratščina" lang="gu" hreflang="gu" data-title="આર્કિમીડીઝ" data-language-autonym="ગુજરાતી" data-language-local-name="gudžaratščina" class="interlanguage-link-target"><span>ગુજરાતી</span></a></li><li class="interlanguage-link interwiki-ha mw-list-item"><a href="https://ha.wikipedia.org/wiki/Arkimidus" title="Arkimidus – havščina" lang="ha" hreflang="ha" data-title="Arkimidus" data-language-autonym="Hausa" data-language-local-name="havščina" class="interlanguage-link-target"><span>Hausa</span></a></li><li class="interlanguage-link interwiki-hak mw-list-item"><a href="https://hak.wikipedia.org/wiki/Archimedes" title="Archimedes – Hakka Chinese" lang="hak" hreflang="hak" data-title="Archimedes" data-language-autonym="客家語 / Hak-kâ-ngî" data-language-local-name="Hakka Chinese" class="interlanguage-link-target"><span>客家語 / Hak-kâ-ngî</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%90%D7%A8%D7%9B%D7%99%D7%9E%D7%93%D7%A1" title="ארכימדס – hebrejščina" lang="he" hreflang="he" data-title="ארכימדס" data-language-autonym="עברית" data-language-local-name="hebrejščina" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%86%E0%A4%B0%E0%A5%8D%E0%A4%95%E0%A4%BF%E0%A4%AE%E0%A4%BF%E0%A4%A1%E0%A5%80%E0%A4%9C%E0%A4%BC" title="आर्किमिडीज़ – hindijščina" lang="hi" hreflang="hi" data-title="आर्किमिडीज़" data-language-autonym="हिन्दी" data-language-local-name="hindijščina" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hif mw-list-item"><a href="https://hif.wikipedia.org/wiki/Archimedes" title="Archimedes – Fiji Hindi" lang="hif" hreflang="hif" data-title="Archimedes" data-language-autonym="Fiji Hindi" data-language-local-name="Fiji Hindi" class="interlanguage-link-target"><span>Fiji Hindi</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Arhimed" title="Arhimed – hrvaščina" lang="hr" hreflang="hr" data-title="Arhimed" data-language-autonym="Hrvatski" data-language-local-name="hrvaščina" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-ht mw-list-item"><a href="https://ht.wikipedia.org/wiki/Archimedes" title="Archimedes – haitijska kreolščina" lang="ht" hreflang="ht" data-title="Archimedes" data-language-autonym="Kreyòl ayisyen" data-language-local-name="haitijska kreolščina" class="interlanguage-link-target"><span>Kreyòl ayisyen</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Arkhim%C3%A9d%C3%A9sz" title="Arkhimédész – madžarščina" lang="hu" hreflang="hu" data-title="Arkhimédész" data-language-autonym="Magyar" data-language-local-name="madžarščina" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D4%B1%D6%80%D6%84%D5%AB%D5%B4%D5%A5%D5%A4%D5%A5%D5%BD" title="Արքիմեդես – armenščina" lang="hy" hreflang="hy" data-title="Արքիմեդես" data-language-autonym="Հայերեն" data-language-local-name="armenščina" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-ia mw-list-item"><a href="https://ia.wikipedia.org/wiki/Archimedes" title="Archimedes – interlingva" lang="ia" hreflang="ia" data-title="Archimedes" data-language-autonym="Interlingua" data-language-local-name="interlingva" class="interlanguage-link-target"><span>Interlingua</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Archimedes" title="Archimedes – indonezijščina" lang="id" hreflang="id" data-title="Archimedes" data-language-autonym="Bahasa Indonesia" data-language-local-name="indonezijščina" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-ilo mw-list-item"><a href="https://ilo.wikipedia.org/wiki/Arkimedes" title="Arkimedes – ilokanščina" lang="ilo" hreflang="ilo" data-title="Arkimedes" data-language-autonym="Ilokano" data-language-local-name="ilokanščina" class="interlanguage-link-target"><span>Ilokano</span></a></li><li class="interlanguage-link interwiki-io mw-list-item"><a href="https://io.wikipedia.org/wiki/Arkimedes" title="Arkimedes – ido" lang="io" hreflang="io" data-title="Arkimedes" data-language-autonym="Ido" data-language-local-name="ido" class="interlanguage-link-target"><span>Ido</span></a></li><li class="interlanguage-link interwiki-is mw-list-item"><a href="https://is.wikipedia.org/wiki/Ark%C3%ADmedes" title="Arkímedes – islandščina" lang="is" hreflang="is" data-title="Arkímedes" data-language-autonym="Íslenska" data-language-local-name="islandščina" class="interlanguage-link-target"><span>Íslenska</span></a></li><li class="interlanguage-link interwiki-it badge-Q17437798 badge-goodarticle mw-list-item" title="dober članek"><a href="https://it.wikipedia.org/wiki/Archimede" title="Archimede – italijanščina" lang="it" hreflang="it" data-title="Archimede" data-language-autonym="Italiano" data-language-local-name="italijanščina" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja badge-Q17437798 badge-goodarticle mw-list-item" title="dober članek"><a href="https://ja.wikipedia.org/wiki/%E3%82%A2%E3%83%AB%E3%82%AD%E3%83%A1%E3%83%87%E3%82%B9" title="アルキメデス – japonščina" lang="ja" hreflang="ja" data-title="アルキメデス" data-language-autonym="日本語" data-language-local-name="japonščina" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-jam mw-list-item"><a href="https://jam.wikipedia.org/wiki/Archimedes" title="Archimedes – Jamaican Creole English" lang="jam" hreflang="jam" data-title="Archimedes" data-language-autonym="Patois" data-language-local-name="Jamaican Creole English" class="interlanguage-link-target"><span>Patois</span></a></li><li class="interlanguage-link interwiki-jv mw-list-item"><a href="https://jv.wikipedia.org/wiki/Arkhim%C3%A9d%C3%A8s" title="Arkhimédès – javanščina" lang="jv" hreflang="jv" data-title="Arkhimédès" data-language-autonym="Jawa" data-language-local-name="javanščina" class="interlanguage-link-target"><span>Jawa</span></a></li><li class="interlanguage-link interwiki-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/%E1%83%90%E1%83%A0%E1%83%A5%E1%83%98%E1%83%9B%E1%83%94%E1%83%93%E1%83%94" title="არქიმედე – gruzijščina" lang="ka" hreflang="ka" data-title="არქიმედე" data-language-autonym="ქართული" data-language-local-name="gruzijščina" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-kaa mw-list-item"><a href="https://kaa.wikipedia.org/wiki/Arximed" title="Arximed – karakalpaščina" lang="kaa" hreflang="kaa" data-title="Arximed" data-language-autonym="Qaraqalpaqsha" data-language-local-name="karakalpaščina" class="interlanguage-link-target"><span>Qaraqalpaqsha</span></a></li><li class="interlanguage-link interwiki-kab mw-list-item"><a href="https://kab.wikipedia.org/wiki/Arxmides" title="Arxmides – kabilščina" lang="kab" hreflang="kab" data-title="Arxmides" data-language-autonym="Taqbaylit" data-language-local-name="kabilščina" class="interlanguage-link-target"><span>Taqbaylit</span></a></li><li class="interlanguage-link interwiki-kbp mw-list-item"><a href="https://kbp.wikipedia.org/wiki/Archim%C3%A8de" title="Archimède – Kabiye" lang="kbp" hreflang="kbp" data-title="Archimède" data-language-autonym="Kabɩyɛ" data-language-local-name="Kabiye" class="interlanguage-link-target"><span>Kabɩyɛ</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%90%D1%80%D1%85%D0%B8%D0%BC%D0%B5%D0%B4" title="Архимед – kazaščina" lang="kk" hreflang="kk" data-title="Архимед" data-language-autonym="Қазақша" data-language-local-name="kazaščina" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-kn mw-list-item"><a href="https://kn.wikipedia.org/wiki/%E0%B2%86%E0%B2%B0%E0%B3%8D%E0%B2%95%E0%B2%BF%E0%B2%AE%E0%B2%BF%E0%B2%A1%E0%B3%80%E0%B2%B8%E0%B3%8D" title="ಆರ್ಕಿಮಿಡೀಸ್ – kanareščina" lang="kn" hreflang="kn" data-title="ಆರ್ಕಿಮಿಡೀಸ್" data-language-autonym="ಕನ್ನಡ" data-language-local-name="kanareščina" class="interlanguage-link-target"><span>ಕನ್ನಡ</span></a></li><li class="interlanguage-link interwiki-ko badge-Q17437798 badge-goodarticle mw-list-item" title="dober članek"><a href="https://ko.wikipedia.org/wiki/%EC%95%84%EB%A5%B4%ED%82%A4%EB%A9%94%EB%8D%B0%EC%8A%A4" title="아르키메데스 – korejščina" lang="ko" hreflang="ko" data-title="아르키메데스" data-language-autonym="한국어" data-language-local-name="korejščina" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-ku mw-list-item"><a href="https://ku.wikipedia.org/wiki/Ar%C5%9F%C3%AEmed" title="Arşîmed – kurdščina" lang="ku" hreflang="ku" data-title="Arşîmed" data-language-autonym="Kurdî" data-language-local-name="kurdščina" class="interlanguage-link-target"><span>Kurdî</span></a></li><li class="interlanguage-link interwiki-kw mw-list-item"><a href="https://kw.wikipedia.org/wiki/Archimedes" title="Archimedes – kornijščina" lang="kw" hreflang="kw" data-title="Archimedes" data-language-autonym="Kernowek" data-language-local-name="kornijščina" class="interlanguage-link-target"><span>Kernowek</span></a></li><li class="interlanguage-link interwiki-ky mw-list-item"><a href="https://ky.wikipedia.org/wiki/%D0%90%D1%80%D1%85%D0%B8%D0%BC%D0%B5%D0%B4" title="Архимед – kirgiščina" lang="ky" hreflang="ky" data-title="Архимед" data-language-autonym="Кыргызча" data-language-local-name="kirgiščina" class="interlanguage-link-target"><span>Кыргызча</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/Archimedes" title="Archimedes – latinščina" lang="la" hreflang="la" data-title="Archimedes" data-language-autonym="Latina" data-language-local-name="latinščina" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-lb mw-list-item"><a href="https://lb.wikipedia.org/wiki/Archimedes" title="Archimedes – luksemburščina" lang="lb" hreflang="lb" data-title="Archimedes" data-language-autonym="Lëtzebuergesch" data-language-local-name="luksemburščina" class="interlanguage-link-target"><span>Lëtzebuergesch</span></a></li><li class="interlanguage-link interwiki-lez mw-list-item"><a href="https://lez.wikipedia.org/wiki/%D0%90%D1%80%D1%85%D0%B8%D0%BC%D0%B5%D0%B4" title="Архимед – lezginščina" lang="lez" hreflang="lez" data-title="Архимед" data-language-autonym="Лезги" data-language-local-name="lezginščina" class="interlanguage-link-target"><span>Лезги</span></a></li><li class="interlanguage-link interwiki-lfn mw-list-item"><a href="https://lfn.wikipedia.org/wiki/Arcimede" title="Arcimede – Lingua Franca Nova" lang="lfn" hreflang="lfn" data-title="Arcimede" data-language-autonym="Lingua Franca Nova" data-language-local-name="Lingua Franca Nova" class="interlanguage-link-target"><span>Lingua Franca Nova</span></a></li><li class="interlanguage-link interwiki-li mw-list-item"><a href="https://li.wikipedia.org/wiki/Archimedes" title="Archimedes – limburščina" lang="li" hreflang="li" data-title="Archimedes" data-language-autonym="Limburgs" data-language-local-name="limburščina" class="interlanguage-link-target"><span>Limburgs</span></a></li><li class="interlanguage-link interwiki-lij mw-list-item"><a href="https://lij.wikipedia.org/wiki/Archimedde" title="Archimedde – Ligurian" lang="lij" hreflang="lij" data-title="Archimedde" data-language-autonym="Ligure" data-language-local-name="Ligurian" class="interlanguage-link-target"><span>Ligure</span></a></li><li class="interlanguage-link interwiki-lmo mw-list-item"><a href="https://lmo.wikipedia.org/wiki/Archimede" title="Archimede – Lombard" lang="lmo" hreflang="lmo" data-title="Archimede" data-language-autonym="Lombard" data-language-local-name="Lombard" class="interlanguage-link-target"><span>Lombard</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Archimedas" title="Archimedas – litovščina" lang="lt" hreflang="lt" data-title="Archimedas" data-language-autonym="Lietuvių" data-language-local-name="litovščina" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Arhim%C4%93ds" title="Arhimēds – latvijščina" lang="lv" hreflang="lv" data-title="Arhimēds" data-language-autonym="Latviešu" data-language-local-name="latvijščina" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-map-bms mw-list-item"><a href="https://map-bms.wikipedia.org/wiki/Archimedes" title="Archimedes – Banyumasan" lang="jv-x-bms" hreflang="jv-x-bms" data-title="Archimedes" data-language-autonym="Basa Banyumasan" data-language-local-name="Banyumasan" class="interlanguage-link-target"><span>Basa Banyumasan</span></a></li><li class="interlanguage-link interwiki-mg mw-list-item"><a href="https://mg.wikipedia.org/wiki/Arsimeda" title="Arsimeda – malgaščina" lang="mg" hreflang="mg" data-title="Arsimeda" data-language-autonym="Malagasy" data-language-local-name="malgaščina" class="interlanguage-link-target"><span>Malagasy</span></a></li><li class="interlanguage-link interwiki-min mw-list-item"><a href="https://min.wikipedia.org/wiki/Archimedes" title="Archimedes – minangkabau" lang="min" hreflang="min" data-title="Archimedes" data-language-autonym="Minangkabau" data-language-local-name="minangkabau" class="interlanguage-link-target"><span>Minangkabau</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%90%D1%80%D1%85%D0%B8%D0%BC%D0%B5%D0%B4" title="Архимед – makedonščina" lang="mk" hreflang="mk" data-title="Архимед" data-language-autonym="Македонски" data-language-local-name="makedonščina" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-ml mw-list-item"><a href="https://ml.wikipedia.org/wiki/%E0%B4%86%E0%B5%BC%E0%B4%95%E0%B5%8D%E0%B4%95%E0%B4%BF%E0%B4%AE%E0%B4%BF%E0%B4%A1%E0%B5%80%E0%B4%B8%E0%B5%8D%E2%80%8C" title="ആർക്കിമിഡീസ് – malajalamščina" lang="ml" hreflang="ml" data-title="ആർക്കിമിഡീസ്" data-language-autonym="മലയാളം" data-language-local-name="malajalamščina" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-mn mw-list-item"><a href="https://mn.wikipedia.org/wiki/%D0%90%D1%80%D1%85%D0%B8%D0%BC%D0%B5%D0%B4" title="Архимед – mongolščina" lang="mn" hreflang="mn" data-title="Архимед" data-language-autonym="Монгол" data-language-local-name="mongolščina" class="interlanguage-link-target"><span>Монгол</span></a></li><li class="interlanguage-link interwiki-mr mw-list-item"><a href="https://mr.wikipedia.org/wiki/%E0%A4%86%E0%A4%B0%E0%A5%8D%E0%A4%95%E0%A4%BF%E0%A4%AE%E0%A4%BF%E0%A4%A1%E0%A5%80%E0%A4%9C" title="आर्किमिडीज – maratščina" lang="mr" hreflang="mr" data-title="आर्किमिडीज" data-language-autonym="मराठी" data-language-local-name="maratščina" class="interlanguage-link-target"><span>मराठी</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Archimedes" title="Archimedes – malajščina" lang="ms" hreflang="ms" data-title="Archimedes" data-language-autonym="Bahasa Melayu" data-language-local-name="malajščina" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-mt mw-list-item"><a href="https://mt.wikipedia.org/wiki/Arkimede" title="Arkimede – malteščina" lang="mt" hreflang="mt" data-title="Arkimede" data-language-autonym="Malti" data-language-local-name="malteščina" class="interlanguage-link-target"><span>Malti</span></a></li><li class="interlanguage-link interwiki-mwl mw-list-item"><a href="https://mwl.wikipedia.org/wiki/Arquimedes" title="Arquimedes – mirandeščina" lang="mwl" hreflang="mwl" data-title="Arquimedes" data-language-autonym="Mirandés" data-language-local-name="mirandeščina" class="interlanguage-link-target"><span>Mirandés</span></a></li><li class="interlanguage-link interwiki-my mw-list-item"><a href="https://my.wikipedia.org/wiki/%E1%80%A1%E1%80%AC%E1%80%81%E1%80%AE%E1%80%99%E1%80%AE%E1%80%B8%E1%80%92%E1%80%AE%E1%80%B8%E1%80%85%E1%80%BA" title="အာခီမီးဒီးစ် – burmanščina" lang="my" hreflang="my" data-title="အာခီမီးဒီးစ်" data-language-autonym="မြန်မာဘာသာ" data-language-local-name="burmanščina" class="interlanguage-link-target"><span>မြန်မာဘာသာ</span></a></li><li class="interlanguage-link interwiki-myv mw-list-item"><a href="https://myv.wikipedia.org/wiki/%D0%90%D1%80%D1%85%D0%B8%D0%BC%D0%B5%D0%B4" title="Архимед – erzjanščina" lang="myv" hreflang="myv" data-title="Архимед" data-language-autonym="Эрзянь" data-language-local-name="erzjanščina" class="interlanguage-link-target"><span>Эрзянь</span></a></li><li class="interlanguage-link interwiki-nap mw-list-item"><a href="https://nap.wikipedia.org/wiki/Archem%C3%A8de" title="Archemède – napolitanščina" lang="nap" hreflang="nap" data-title="Archemède" data-language-autonym="Napulitano" data-language-local-name="napolitanščina" class="interlanguage-link-target"><span>Napulitano</span></a></li><li class="interlanguage-link interwiki-nds mw-list-item"><a href="https://nds.wikipedia.org/wiki/Archimedes" title="Archimedes – nizka nemščina" lang="nds" hreflang="nds" data-title="Archimedes" data-language-autonym="Plattdüütsch" data-language-local-name="nizka nemščina" class="interlanguage-link-target"><span>Plattdüütsch</span></a></li><li class="interlanguage-link interwiki-nds-nl mw-list-item"><a href="https://nds-nl.wikipedia.org/wiki/Archimedes" title="Archimedes – nizka saščina" lang="nds-NL" hreflang="nds-NL" data-title="Archimedes" data-language-autonym="Nedersaksies" data-language-local-name="nizka saščina" class="interlanguage-link-target"><span>Nedersaksies</span></a></li><li class="interlanguage-link interwiki-ne mw-list-item"><a href="https://ne.wikipedia.org/wiki/%E0%A4%86%E0%A4%B0%E0%A5%8D%E0%A4%95%E0%A4%BF%E0%A4%AE%E0%A4%BF%E0%A4%A1%E0%A4%BF%E0%A4%9C" title="आर्किमिडिज – nepalščina" lang="ne" hreflang="ne" data-title="आर्किमिडिज" data-language-autonym="नेपाली" data-language-local-name="nepalščina" class="interlanguage-link-target"><span>नेपाली</span></a></li><li class="interlanguage-link interwiki-new mw-list-item"><a href="https://new.wikipedia.org/wiki/%E0%A4%86%E0%A4%B0%E0%A5%8D%E0%A4%95%E0%A4%BF%E0%A4%AE%E0%A4%BF%E0%A4%A1%E0%A4%BF%E0%A4%9C" title="आर्किमिडिज – nevarščina" lang="new" hreflang="new" data-title="आर्किमिडिज" data-language-autonym="नेपाल भाषा" data-language-local-name="nevarščina" class="interlanguage-link-target"><span>नेपाल भाषा</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Archimedes" title="Archimedes – nizozemščina" lang="nl" hreflang="nl" data-title="Archimedes" data-language-autonym="Nederlands" data-language-local-name="nizozemščina" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Arkimedes" title="Arkimedes – novonorveščina" lang="nn" hreflang="nn" data-title="Arkimedes" data-language-autonym="Norsk nynorsk" data-language-local-name="novonorveščina" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Arkimedes" title="Arkimedes – knjižna norveščina" lang="nb" hreflang="nb" data-title="Arkimedes" data-language-autonym="Norsk bokmål" data-language-local-name="knjižna norveščina" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-oc mw-list-item"><a href="https://oc.wikipedia.org/wiki/Arquim%C3%A8des" title="Arquimèdes – okcitanščina" lang="oc" hreflang="oc" data-title="Arquimèdes" data-language-autonym="Occitan" data-language-local-name="okcitanščina" class="interlanguage-link-target"><span>Occitan</span></a></li><li class="interlanguage-link interwiki-olo mw-list-item"><a href="https://olo.wikipedia.org/wiki/Arkhimedes" title="Arkhimedes – Livvi-Karelian" lang="olo" hreflang="olo" data-title="Arkhimedes" data-language-autonym="Livvinkarjala" data-language-local-name="Livvi-Karelian" class="interlanguage-link-target"><span>Livvinkarjala</span></a></li><li class="interlanguage-link interwiki-om mw-list-item"><a href="https://om.wikipedia.org/wiki/Arkimeedis" title="Arkimeedis – oromo" lang="om" hreflang="om" data-title="Arkimeedis" data-language-autonym="Oromoo" data-language-local-name="oromo" class="interlanguage-link-target"><span>Oromoo</span></a></li><li class="interlanguage-link interwiki-or mw-list-item"><a href="https://or.wikipedia.org/wiki/%E0%AC%86%E0%AC%B0%E0%AD%8D%E0%AC%95%E0%AC%AE%E0%AC%BF%E0%AC%A1%E0%AC%BC%E0%AC%BF%E0%AC%B8" title="ଆର୍କମିଡ଼ିସ – odijščina" lang="or" hreflang="or" data-title="ଆର୍କମିଡ଼ିସ" data-language-autonym="ଓଡ଼ିଆ" data-language-local-name="odijščina" class="interlanguage-link-target"><span>ଓଡ଼ିଆ</span></a></li><li class="interlanguage-link interwiki-pa mw-list-item"><a href="https://pa.wikipedia.org/wiki/%E0%A8%86%E0%A8%B0%E0%A8%95%E0%A9%80%E0%A8%AE%E0%A8%BF%E0%A8%A1%E0%A9%80%E0%A8%9C%E0%A8%BC" title="ਆਰਕੀਮਿਡੀਜ਼ – pandžabščina" lang="pa" hreflang="pa" data-title="ਆਰਕੀਮਿਡੀਜ਼" data-language-autonym="ਪੰਜਾਬੀ" data-language-local-name="pandžabščina" class="interlanguage-link-target"><span>ਪੰਜਾਬੀ</span></a></li><li class="interlanguage-link interwiki-pam mw-list-item"><a href="https://pam.wikipedia.org/wiki/Archimedes" title="Archimedes – pampanščina" lang="pam" hreflang="pam" data-title="Archimedes" data-language-autonym="Kapampangan" data-language-local-name="pampanščina" class="interlanguage-link-target"><span>Kapampangan</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Archimedes" title="Archimedes – poljščina" lang="pl" hreflang="pl" data-title="Archimedes" data-language-autonym="Polski" data-language-local-name="poljščina" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pms mw-list-item"><a href="https://pms.wikipedia.org/wiki/Archimede" title="Archimede – Piedmontese" lang="pms" hreflang="pms" data-title="Archimede" data-language-autonym="Piemontèis" data-language-local-name="Piedmontese" class="interlanguage-link-target"><span>Piemontèis</span></a></li><li class="interlanguage-link interwiki-pnb mw-list-item"><a href="https://pnb.wikipedia.org/wiki/%D8%A7%D8%B1%D8%B4%D9%85%DB%8C%D8%AF%D8%B3" title="ارشمیدس – Western Punjabi" lang="pnb" hreflang="pnb" data-title="ارشمیدس" data-language-autonym="پنجابی" data-language-local-name="Western Punjabi" class="interlanguage-link-target"><span>پنجابی</span></a></li><li class="interlanguage-link interwiki-ps mw-list-item"><a href="https://ps.wikipedia.org/wiki/%D8%A7%D8%B1%D8%B4%D9%85%D9%8A%D8%AF%D8%B3" title="ارشميدس – paštunščina" lang="ps" hreflang="ps" data-title="ارشميدس" data-language-autonym="پښتو" data-language-local-name="paštunščina" class="interlanguage-link-target"><span>پښتو</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Arquimedes" title="Arquimedes – portugalščina" lang="pt" hreflang="pt" data-title="Arquimedes" data-language-autonym="Português" data-language-local-name="portugalščina" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-qu mw-list-item"><a href="https://qu.wikipedia.org/wiki/Arkhimidis" title="Arkhimidis – kečuanščina" lang="qu" hreflang="qu" data-title="Arkhimidis" data-language-autonym="Runa Simi" data-language-local-name="kečuanščina" class="interlanguage-link-target"><span>Runa Simi</span></a></li><li class="interlanguage-link interwiki-ro badge-Q17437798 badge-goodarticle mw-list-item" title="dober članek"><a href="https://ro.wikipedia.org/wiki/Arhimede" title="Arhimede – romunščina" lang="ro" hreflang="ro" data-title="Arhimede" data-language-autonym="Română" data-language-local-name="romunščina" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-roa-rup mw-list-item"><a href="https://roa-rup.wikipedia.org/wiki/Arhimede" title="Arhimede – aromunščina" lang="rup" hreflang="rup" data-title="Arhimede" data-language-autonym="Armãneashti" data-language-local-name="aromunščina" class="interlanguage-link-target"><span>Armãneashti</span></a></li><li class="interlanguage-link interwiki-ru badge-Q17437796 badge-featuredarticle mw-list-item" title="izbrani članek"><a href="https://ru.wikipedia.org/wiki/%D0%90%D1%80%D1%85%D0%B8%D0%BC%D0%B5%D0%B4" title="Архимед – ruščina" lang="ru" hreflang="ru" data-title="Архимед" data-language-autonym="Русский" data-language-local-name="ruščina" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-rue mw-list-item"><a href="https://rue.wikipedia.org/wiki/%D0%90%D1%80%D1%85%D1%96%D0%BC%D0%B5%D0%B4" title="Архімед – Rusyn" lang="rue" hreflang="rue" data-title="Архімед" data-language-autonym="Русиньскый" data-language-local-name="Rusyn" class="interlanguage-link-target"><span>Русиньскый</span></a></li><li class="interlanguage-link interwiki-sa mw-list-item"><a href="https://sa.wikipedia.org/wiki/%E0%A4%86%E0%A4%B0%E0%A5%8D%E0%A4%95%E0%A4%BF%E0%A4%AE%E0%A4%BF%E0%A4%A1%E0%A5%80%E0%A4%B8%E0%A5%8D" title="आर्किमिडीस् – sanskrt" lang="sa" hreflang="sa" data-title="आर्किमिडीस्" data-language-autonym="संस्कृतम्" data-language-local-name="sanskrt" class="interlanguage-link-target"><span>संस्कृतम्</span></a></li><li class="interlanguage-link interwiki-sah mw-list-item"><a href="https://sah.wikipedia.org/wiki/%D0%90%D1%80%D1%85%D0%B8%D0%BC%D0%B5%D0%B4" title="Архимед – jakutščina" lang="sah" hreflang="sah" data-title="Архимед" data-language-autonym="Саха тыла" data-language-local-name="jakutščina" class="interlanguage-link-target"><span>Саха тыла</span></a></li><li class="interlanguage-link interwiki-sat mw-list-item"><a href="https://sat.wikipedia.org/wiki/%E1%B1%9F%E1%B1%A8%E1%B1%A0%E1%B1%A2%E1%B1%AE%E1%B1%B0%E1%B1%A4%E1%B1%A5" title="ᱟᱨᱠᱢᱮᱰᱤᱥ – santalščina" lang="sat" hreflang="sat" data-title="ᱟᱨᱠᱢᱮᱰᱤᱥ" data-language-autonym="ᱥᱟᱱᱛᱟᱲᱤ" data-language-local-name="santalščina" class="interlanguage-link-target"><span>ᱥᱟᱱᱛᱟᱲᱤ</span></a></li><li class="interlanguage-link interwiki-scn mw-list-item"><a href="https://scn.wikipedia.org/wiki/Archimedi" title="Archimedi – sicilijanščina" lang="scn" hreflang="scn" data-title="Archimedi" data-language-autonym="Sicilianu" data-language-local-name="sicilijanščina" class="interlanguage-link-target"><span>Sicilianu</span></a></li><li class="interlanguage-link interwiki-sco mw-list-item"><a href="https://sco.wikipedia.org/wiki/Archimedes" title="Archimedes – škotščina" lang="sco" hreflang="sco" data-title="Archimedes" data-language-autonym="Scots" data-language-local-name="škotščina" class="interlanguage-link-target"><span>Scots</span></a></li><li class="interlanguage-link interwiki-sd mw-list-item"><a href="https://sd.wikipedia.org/wiki/%D8%A7%D8%B1%D8%B4%D9%85%D9%8A%D8%AF%D8%B3" title="ارشميدس – sindščina" lang="sd" hreflang="sd" data-title="ارشميدس" data-language-autonym="سنڌي" data-language-local-name="sindščina" class="interlanguage-link-target"><span>سنڌي</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Arhimed" title="Arhimed – srbohrvaščina" lang="sh" hreflang="sh" data-title="Arhimed" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="srbohrvaščina" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-si mw-list-item"><a href="https://si.wikipedia.org/wiki/%E0%B6%86%E0%B6%9A%E0%B7%92%E0%B6%B8%E0%B7%92%E0%B6%A9%E0%B7%93%E0%B7%83%E0%B7%8A" title="ආකිමිඩීස් – sinhalščina" lang="si" hreflang="si" data-title="ආකිමිඩීස්" data-language-autonym="සිංහල" data-language-local-name="sinhalščina" class="interlanguage-link-target"><span>සිංහල</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Archimedes" title="Archimedes – Simple English" lang="en-simple" hreflang="en-simple" data-title="Archimedes" data-language-autonym="Simple English" data-language-local-name="Simple English" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Archimedes_zo_Syrak%C3%BAz" title="Archimedes zo Syrakúz – slovaščina" lang="sk" hreflang="sk" data-title="Archimedes zo Syrakúz" data-language-autonym="Slovenčina" data-language-local-name="slovaščina" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-skr mw-list-item"><a href="https://skr.wikipedia.org/wiki/%D8%A7%D8%B1%D8%B4%DB%8C%D9%85%DB%8C%D8%AF%D8%B3" title="ارشیمیدس – Saraiki" lang="skr" hreflang="skr" data-title="ارشیمیدس" data-language-autonym="سرائیکی" data-language-local-name="Saraiki" class="interlanguage-link-target"><span>سرائیکی</span></a></li><li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://sq.wikipedia.org/wiki/Arkimedi" title="Arkimedi – albanščina" lang="sq" hreflang="sq" data-title="Arkimedi" data-language-autonym="Shqip" data-language-local-name="albanščina" class="interlanguage-link-target"><span>Shqip</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%90%D1%80%D1%85%D0%B8%D0%BC%D0%B5%D0%B4" title="Архимед – srbščina" lang="sr" hreflang="sr" data-title="Архимед" data-language-autonym="Српски / srpski" data-language-local-name="srbščina" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-su mw-list-item"><a href="https://su.wikipedia.org/wiki/Archimedes" title="Archimedes – sundanščina" lang="su" hreflang="su" data-title="Archimedes" data-language-autonym="Sunda" data-language-local-name="sundanščina" class="interlanguage-link-target"><span>Sunda</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Arkimedes" title="Arkimedes – švedščina" lang="sv" hreflang="sv" data-title="Arkimedes" data-language-autonym="Svenska" data-language-local-name="švedščina" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-sw mw-list-item"><a href="https://sw.wikipedia.org/wiki/Archimedes" title="Archimedes – svahili" lang="sw" hreflang="sw" data-title="Archimedes" data-language-autonym="Kiswahili" data-language-local-name="svahili" class="interlanguage-link-target"><span>Kiswahili</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%85%E0%AE%B0%E0%AF%8D%E0%AE%95%E0%AF%8D%E0%AE%95%E0%AE%BF%E0%AE%AE%E0%AF%86%E0%AE%9F%E0%AF%86%E0%AE%9A%E0%AF%81" title="அர்க்கிமெடெசு – tamilščina" lang="ta" hreflang="ta" data-title="அர்க்கிமெடெசு" data-language-autonym="தமிழ்" data-language-local-name="tamilščina" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-te mw-list-item"><a href="https://te.wikipedia.org/wiki/%E0%B0%86%E0%B0%B0%E0%B1%8D%E0%B0%95%E0%B0%BF%E0%B0%AE%E0%B1%86%E0%B0%A1%E0%B0%BF%E0%B0%B8%E0%B1%8D" title="ఆర్కిమెడిస్ – telugijščina" lang="te" hreflang="te" data-title="ఆర్కిమెడిస్" data-language-autonym="తెలుగు" data-language-local-name="telugijščina" class="interlanguage-link-target"><span>తెలుగు</span></a></li><li class="interlanguage-link interwiki-tg mw-list-item"><a href="https://tg.wikipedia.org/wiki/%D0%90%D1%80%D1%85%D0%B8%D0%BC%D0%B5%D0%B4" title="Архимед – tadžiščina" lang="tg" hreflang="tg" data-title="Архимед" data-language-autonym="Тоҷикӣ" data-language-local-name="tadžiščina" class="interlanguage-link-target"><span>Тоҷикӣ</span></a></li><li class="interlanguage-link interwiki-th badge-Q17437796 badge-featuredarticle mw-list-item" title="izbrani članek"><a href="https://th.wikipedia.org/wiki/%E0%B8%AD%E0%B8%B2%E0%B8%A3%E0%B9%8C%E0%B8%84%E0%B8%B4%E0%B8%A1%E0%B8%B4%E0%B8%94%E0%B8%B5%E0%B8%AA" title="อาร์คิมิดีส – tajščina" lang="th" hreflang="th" data-title="อาร์คิมิดีส" data-language-autonym="ไทย" data-language-local-name="tajščina" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tk mw-list-item"><a href="https://tk.wikipedia.org/wiki/Arhimed" title="Arhimed – turkmenščina" lang="tk" hreflang="tk" data-title="Arhimed" data-language-autonym="Türkmençe" data-language-local-name="turkmenščina" class="interlanguage-link-target"><span>Türkmençe</span></a></li><li class="interlanguage-link interwiki-tl mw-list-item"><a href="https://tl.wikipedia.org/wiki/Arkimedes" title="Arkimedes – tagalogščina" lang="tl" hreflang="tl" data-title="Arkimedes" data-language-autonym="Tagalog" data-language-local-name="tagalogščina" class="interlanguage-link-target"><span>Tagalog</span></a></li><li class="interlanguage-link interwiki-tly mw-list-item"><a href="https://tly.wikipedia.org/wiki/Arximed" title="Arximed – Talysh" lang="tly" hreflang="tly" data-title="Arximed" data-language-autonym="Tolışi" data-language-local-name="Talysh" class="interlanguage-link-target"><span>Tolışi</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Ar%C5%9Fimet" title="Arşimet – turščina" lang="tr" hreflang="tr" data-title="Arşimet" data-language-autonym="Türkçe" data-language-local-name="turščina" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-tt mw-list-item"><a href="https://tt.wikipedia.org/wiki/%D0%90%D1%80%D1%85%D0%B8%D0%BC%D0%B5%D0%B4" title="Архимед – tatarščina" lang="tt" hreflang="tt" data-title="Архимед" data-language-autonym="Татарча / tatarça" data-language-local-name="tatarščina" class="interlanguage-link-target"><span>Татарча / tatarça</span></a></li><li class="interlanguage-link interwiki-tum mw-list-item"><a href="https://tum.wikipedia.org/wiki/Archimedes" title="Archimedes – tumbukščina" lang="tum" hreflang="tum" data-title="Archimedes" data-language-autonym="ChiTumbuka" data-language-local-name="tumbukščina" class="interlanguage-link-target"><span>ChiTumbuka</span></a></li><li class="interlanguage-link interwiki-tyv mw-list-item"><a href="https://tyv.wikipedia.org/wiki/%D0%90%D1%80%D1%85%D0%B8%D0%BC%D0%B5%D0%B4" title="Архимед – tuvinščina" lang="tyv" hreflang="tyv" data-title="Архимед" data-language-autonym="Тыва дыл" data-language-local-name="tuvinščina" class="interlanguage-link-target"><span>Тыва дыл</span></a></li><li class="interlanguage-link interwiki-udm mw-list-item"><a href="https://udm.wikipedia.org/wiki/%D0%90%D1%80%D1%85%D0%B8%D0%BC%D0%B5%D0%B4" title="Архимед – udmurtščina" lang="udm" hreflang="udm" data-title="Архимед" data-language-autonym="Удмурт" data-language-local-name="udmurtščina" class="interlanguage-link-target"><span>Удмурт</span></a></li><li class="interlanguage-link interwiki-uk badge-Q17437798 badge-goodarticle mw-list-item" title="dober članek"><a href="https://uk.wikipedia.org/wiki/%D0%90%D1%80%D1%85%D1%96%D0%BC%D0%B5%D0%B4" title="Архімед – ukrajinščina" lang="uk" hreflang="uk" data-title="Архімед" data-language-autonym="Українська" data-language-local-name="ukrajinščina" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-ur mw-list-item"><a href="https://ur.wikipedia.org/wiki/%D8%A7%D8%B1%D8%B4%D9%85%DB%8C%D8%AF%D8%B3" title="ارشمیدس – urdujščina" lang="ur" hreflang="ur" data-title="ارشمیدس" data-language-autonym="اردو" data-language-local-name="urdujščina" class="interlanguage-link-target"><span>اردو</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Arximed" title="Arximed – uzbeščina" lang="uz" hreflang="uz" data-title="Arximed" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="uzbeščina" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-vec mw-list-item"><a href="https://vec.wikipedia.org/wiki/Archimede" title="Archimede – Venetian" lang="vec" hreflang="vec" data-title="Archimede" data-language-autonym="Vèneto" data-language-local-name="Venetian" class="interlanguage-link-target"><span>Vèneto</span></a></li><li class="interlanguage-link interwiki-vep mw-list-item"><a href="https://vep.wikipedia.org/wiki/Arhimed" title="Arhimed – Veps" lang="vep" hreflang="vep" data-title="Arhimed" data-language-autonym="Vepsän kel’" data-language-local-name="Veps" class="interlanguage-link-target"><span>Vepsän kel’</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/Archimedes" title="Archimedes – vietnamščina" lang="vi" hreflang="vi" data-title="Archimedes" data-language-autonym="Tiếng Việt" data-language-local-name="vietnamščina" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-vo mw-list-item"><a href="https://vo.wikipedia.org/wiki/Arkimedes" title="Arkimedes – volapik" lang="vo" hreflang="vo" data-title="Arkimedes" data-language-autonym="Volapük" data-language-local-name="volapik" class="interlanguage-link-target"><span>Volapük</span></a></li><li class="interlanguage-link interwiki-wa mw-list-item"><a href="https://wa.wikipedia.org/wiki/%C3%85rtchimede" title="Årtchimede – valonščina" lang="wa" hreflang="wa" data-title="Årtchimede" data-language-autonym="Walon" data-language-local-name="valonščina" class="interlanguage-link-target"><span>Walon</span></a></li><li class="interlanguage-link interwiki-war mw-list-item"><a href="https://war.wikipedia.org/wiki/Archimedes" title="Archimedes – varajščina" lang="war" hreflang="war" data-title="Archimedes" data-language-autonym="Winaray" data-language-local-name="varajščina" class="interlanguage-link-target"><span>Winaray</span></a></li><li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://wuu.wikipedia.org/wiki/%E9%98%BF%E5%9F%BA%E7%B1%B3%E5%BE%B7" title="阿基米德 – wu-kitajščina" lang="wuu" hreflang="wuu" data-title="阿基米德" data-language-autonym="吴语" data-language-local-name="wu-kitajščina" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-xmf mw-list-item"><a href="https://xmf.wikipedia.org/wiki/%E1%83%90%E1%83%A0%E1%83%A5%E1%83%98%E1%83%9B%E1%83%94%E1%83%93%E1%83%94" title="არქიმედე – Mingrelian" lang="xmf" hreflang="xmf" data-title="არქიმედე" data-language-autonym="მარგალური" data-language-local-name="Mingrelian" class="interlanguage-link-target"><span>მარგალური</span></a></li><li class="interlanguage-link interwiki-yi mw-list-item"><a href="https://yi.wikipedia.org/wiki/%D7%90%D7%A8%D7%9B%D7%99%D7%9E%D7%A2%D7%93" title="ארכימעד – jidiš" lang="yi" hreflang="yi" data-title="ארכימעד" data-language-autonym="ייִדיש" data-language-local-name="jidiš" class="interlanguage-link-target"><span>ייִדיש</span></a></li><li class="interlanguage-link interwiki-yo mw-list-item"><a href="https://yo.wikipedia.org/wiki/Archimedes" title="Archimedes – jorubščina" lang="yo" hreflang="yo" data-title="Archimedes" data-language-autonym="Yorùbá" data-language-local-name="jorubščina" class="interlanguage-link-target"><span>Yorùbá</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E9%98%BF%E5%9F%BA%E7%B1%B3%E5%BE%B7" title="阿基米德 – kitajščina" lang="zh" hreflang="zh" data-title="阿基米德" data-language-autonym="中文" data-language-local-name="kitajščina" class="interlanguage-link-target"><span>中文</span></a></li><li class="interlanguage-link interwiki-zh-classical mw-list-item"><a href="https://zh-classical.wikipedia.org/wiki/%E4%BA%9E%E5%9F%BA%E7%B1%B3%E5%BE%B7" title="亞基米德 – Literary Chinese" lang="lzh" hreflang="lzh" data-title="亞基米德" data-language-autonym="文言" data-language-local-name="Literary Chinese" class="interlanguage-link-target"><span>文言</span></a></li><li class="interlanguage-link interwiki-zh-min-nan mw-list-item"><a href="https://zh-min-nan.wikipedia.org/wiki/Archimedes" title="Archimedes – min nan kitajščina" lang="nan" hreflang="nan" data-title="Archimedes" data-language-autonym="閩南語 / Bân-lâm-gú" data-language-local-name="min nan kitajščina" class="interlanguage-link-target"><span>閩南語 / Bân-lâm-gú</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E9%98%BF%E5%9F%BA%E7%B1%B3%E5%BE%B7" title="阿基米德 – kantonščina" lang="yue" hreflang="yue" data-title="阿基米德" data-language-autonym="粵語" data-language-local-name="kantonščina" class="interlanguage-link-target"><span>粵語</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q8739#sitelinks-wikipedia" title="Uredi medjezikovne povezave" class="wbc-editpage">Uredi povezave</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div id="left-navigation"> <nav aria-label="Imenski prostori"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-associated-pages" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-nstab-main" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/Arhimed" title="Ogled vsebinske strani [c]" accesskey="c"><span>Stran</span></a></li><li id="ca-talk" class="vector-tab-noicon mw-list-item"><a href="/wiki/Pogovor:Arhimed" rel="discussion" title="Pogovor o vsebinski strani [t]" accesskey="t"><span>Pogovor</span></a></li> </ul> </div> </div> <div id="vector-variants-dropdown" class="vector-dropdown emptyPortlet" > <input type="checkbox" id="vector-variants-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-variants-dropdown" class="vector-dropdown-checkbox " aria-label="Spremeni različico jezika" > <label id="vector-variants-dropdown-label" for="vector-variants-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">slovenščina</span> </label> <div class="vector-dropdown-content"> <div id="p-variants" class="vector-menu mw-portlet mw-portlet-variants emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> </div> </div> </nav> </div> <div id="right-navigation" class="vector-collapsible"> <nav aria-label="Pogledi"> <div id="p-views" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-views" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-view" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/Arhimed"><span>Preberi</span></a></li><li id="ca-ve-edit" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Arhimed&veaction=edit" title="Uredite to stran [v]" accesskey="v"><span>Uredi stran</span></a></li><li id="ca-edit" class="collapsible vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Arhimed&action=edit" title="Uredi izvorno kodo te strani [e]" accesskey="e"><span>Uredi kodo</span></a></li><li id="ca-history" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Arhimed&action=history" title="Prejšnje redakcije te strani [h]" accesskey="h"><span>Zgodovina</span></a></li> </ul> </div> </div> </nav> <nav class="vector-page-tools-landmark" aria-label="Orodja strani"> <div id="vector-page-tools-dropdown" class="vector-dropdown vector-page-tools-dropdown" > <input type="checkbox" id="vector-page-tools-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-tools-dropdown" class="vector-dropdown-checkbox " aria-label="Orodja" > <label id="vector-page-tools-dropdown-label" for="vector-page-tools-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">Orodja</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-tools-unpinned-container" class="vector-unpinned-container"> <div id="vector-page-tools" class="vector-page-tools vector-pinnable-element"> <div class="vector-pinnable-header vector-page-tools-pinnable-header vector-pinnable-header-unpinned" data-feature-name="page-tools-pinned" data-pinnable-element-id="vector-page-tools" data-pinned-container-id="vector-page-tools-pinned-container" data-unpinned-container-id="vector-page-tools-unpinned-container" > <div class="vector-pinnable-header-label">Orodja</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-page-tools.pin">prestavi v stransko letvico</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-page-tools.unpin">skrij</button> </div> <div id="p-cactions" class="vector-menu mw-portlet mw-portlet-cactions emptyPortlet vector-has-collapsible-items" title="Več možnosti" > <div class="vector-menu-heading"> Dejanja </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-more-view" class="selected vector-more-collapsible-item mw-list-item"><a href="/wiki/Arhimed"><span>Preberi</span></a></li><li id="ca-more-ve-edit" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Arhimed&veaction=edit" title="Uredite to stran [v]" accesskey="v"><span>Uredi stran</span></a></li><li id="ca-more-edit" class="collapsible vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Arhimed&action=edit" title="Uredi izvorno kodo te strani [e]" accesskey="e"><span>Uredi kodo</span></a></li><li id="ca-more-history" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Arhimed&action=history"><span>Zgodovina</span></a></li> </ul> </div> </div> <div id="p-tb" class="vector-menu mw-portlet mw-portlet-tb" > <div class="vector-menu-heading"> Splošno </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-whatlinkshere" class="mw-list-item"><a href="/wiki/Posebno:KajSePovezujeSem/Arhimed" title="Seznam vseh strani, ki se povezujejo sem [j]" accesskey="j"><span>Kaj se povezuje sem</span></a></li><li id="t-recentchangeslinked" class="mw-list-item"><a href="/wiki/Posebno:RecentChangesLinked/Arhimed" rel="nofollow" title="Zadnje spremembe na straneh, s katerimi se povezuje ta stran [k]" accesskey="k"><span>Povezane spremembe</span></a></li><li id="t-specialpages" class="mw-list-item"><a href="/wiki/Posebno:PosebneStrani" title="Seznam vseh posebnih strani [q]" accesskey="q"><span>Posebne strani</span></a></li><li id="t-permalink" class="mw-list-item"><a href="/w/index.php?title=Arhimed&oldid=6272341" title="Trajna povezava na to redakcijo strani"><span>Trajna povezava</span></a></li><li id="t-info" class="mw-list-item"><a href="/w/index.php?title=Arhimed&action=info" title="Več informacij o tej strani"><span>Podatki o strani</span></a></li><li id="t-cite" class="mw-list-item"><a href="/w/index.php?title=Posebno:Navedi&page=Arhimed&id=6272341&wpFormIdentifier=titleform" title="Informacije o tem, kako navajati to stran"><span>Navedba članka</span></a></li><li id="t-urlshortener" class="mw-list-item"><a href="/w/index.php?title=Posebno:UrlShortener&url=https%3A%2F%2Fsl.wikipedia.org%2Fwiki%2FArhimed"><span>Pridobi skrajšani URL</span></a></li><li id="t-urlshortener-qrcode" class="mw-list-item"><a href="/w/index.php?title=Posebno:QrCode&url=https%3A%2F%2Fsl.wikipedia.org%2Fwiki%2FArhimed"><span>Prenesi kodo QR</span></a></li> </ul> </div> </div> <div id="p-coll-print_export" class="vector-menu mw-portlet mw-portlet-coll-print_export" > <div class="vector-menu-heading"> Tiskanje/izvoz </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="coll-create_a_book" class="mw-list-item"><a href="/w/index.php?title=Posebno:Book&bookcmd=book_creator&referer=Arhimed"><span>Ustvari e-knjigo</span></a></li><li id="coll-download-as-rl" class="mw-list-item"><a href="/w/index.php?title=Posebno:DownloadAsPdf&page=Arhimed&action=show-download-screen"><span>Prenesi kot PDF</span></a></li><li id="t-print" class="mw-list-item"><a href="/w/index.php?title=Arhimed&printable=yes" title="Različica te strani za tisk [p]" accesskey="p"><span>Različica za tisk</span></a></li> </ul> </div> </div> <div id="p-wikibase-otherprojects" class="vector-menu mw-portlet mw-portlet-wikibase-otherprojects" > <div class="vector-menu-heading"> V drugih projektih </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="wb-otherproject-link wb-otherproject-commons mw-list-item"><a href="https://commons.wikimedia.org/wiki/Category:Archimedes" hreflang="en"><span>Wikimedijina zbirka</span></a></li><li id="t-wikibase" class="wb-otherproject-link wb-otherproject-wikibase-dataitem mw-list-item"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q8739" title="Povezava na ustrezni predmet v podatkovni shrambi [g]" accesskey="g"><span>Predmet v Wikipodatkih</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> </div> </div> </div> <div class="vector-column-end"> <div class="vector-sticky-pinned-container"> <nav class="vector-page-tools-landmark" aria-label="Orodja strani"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="Videz"> <div id="vector-appearance-pinned-container" class="vector-pinned-container"> <div id="vector-appearance" class="vector-appearance vector-pinnable-element"> <div class="vector-pinnable-header vector-appearance-pinnable-header vector-pinnable-header-pinned" data-feature-name="appearance-pinned" data-pinnable-element-id="vector-appearance" data-pinned-container-id="vector-appearance-pinned-container" data-unpinned-container-id="vector-appearance-unpinned-container" > <div class="vector-pinnable-header-label">Videz</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">prestavi v stransko letvico</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">skrij</button> </div> </div> </div> </nav> </div> </div> <div id="bodyContent" class="vector-body" aria-labelledby="firstHeading" data-mw-ve-target-container> <div class="vector-body-before-content"> <div class="mw-indicators"> <div id="mw-indicator-featured-star" class="mw-indicator"><div class="mw-parser-output"><span typeof="mw:File"><a href="/wiki/Wikipedija:Izbrani_%C4%8Dlanki" title="To je izbrani članek. Za več podatkov klikni zvezdo."><img alt="Izbrani članek" src="//upload.wikimedia.org/wikipedia/commons/thumb/e/e7/Cscr-featured.svg/20px-Cscr-featured.svg.png" decoding="async" width="20" height="19" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/e7/Cscr-featured.svg/30px-Cscr-featured.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/e7/Cscr-featured.svg/40px-Cscr-featured.svg.png 2x" data-file-width="466" data-file-height="443" /></a></span></div></div> </div> <div id="siteSub" class="noprint">Iz Wikipedije, proste enciklopedije</div> </div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="sl" dir="ltr"><style data-mw-deduplicate="TemplateStyles:r5913888">.mw-parser-output .infobox{border:1px solid #a2a9b1;border-spacing:3px;background-color:#f8f9fa;color:black;margin:0.5em 0 0.5em 1em;padding:0.2em;float:right;clear:right;font-size:88%;line-height:1.5em;width:22em}.mw-parser-output .infobox-header,.mw-parser-output .infobox-label,.mw-parser-output .infobox-above,.mw-parser-output .infobox-full-data,.mw-parser-output .infobox-data,.mw-parser-output .infobox-below,.mw-parser-output .infobox-subheader,.mw-parser-output .infobox-image,.mw-parser-output .infobox-navbar,.mw-parser-output .infobox th,.mw-parser-output .infobox td{vertical-align:top}.mw-parser-output .infobox-label,.mw-parser-output .infobox-data,.mw-parser-output .infobox th,.mw-parser-output .infobox td{text-align:left}.mw-parser-output .infobox .infobox-header,.mw-parser-output .infobox .infobox-subheader,.mw-parser-output .infobox .infobox-image,.mw-parser-output .infobox .infobox-full-data,.mw-parser-output .infobox .infobox-below{text-align:center}.mw-parser-output .infobox .infobox-above,.mw-parser-output .infobox .infobox-title,.mw-parser-output .infobox caption{font-size:125%;font-weight:bold;text-align:center}.mw-parser-output .infobox-subbox{padding:0;border:none;margin:-3px;width:auto;min-width:100%;font-size:100%;clear:none;float:none;background-color:transparent}.mw-parser-output .infobox-3cols-child{margin:auto}.mw-parser-output .infobox .navbar{font-size:100%}body.skin-minerva .mw-parser-output .infobox-header,body.skin-minerva .mw-parser-output .infobox-subheader,body.skin-minerva .mw-parser-output .infobox-above,body.skin-minerva .mw-parser-output .infobox-title,body.skin-minerva .mw-parser-output .infobox-image,body.skin-minerva .mw-parser-output .infobox-full-data,body.skin-minerva .mw-parser-output .infobox-below{text-align:center}</style><table class="infobox vcard"><tbody><tr><th colspan="2" class="infobox-above fn" style="background:transparent;text-align:center;">Arhimed <br /> Ἀρχιμήδης</th></tr><tr><td colspan="2" class="infobox-image"><span class="wikidata-claim" data-wikidata-property-id="P18" data-wikidata-claim-id="q8739$22251CAC-7877-4C6B-A66E-564FFA7BA5E7"><span class="wikidata-snak wikidata-main-snak"><span typeof="mw:File"><a href="/wiki/Slika:Retrato_de_un_erudito_(%C2%BFArqu%C3%ADmedes%3F),_por_Domenico_Fetti.jpg" class="mw-file-description" title="Portret"><img alt="Portret" src="//upload.wikimedia.org/wikipedia/commons/thumb/6/6e/Retrato_de_un_erudito_%28%C2%BFArqu%C3%ADmedes%3F%29%2C_por_Domenico_Fetti.jpg/220px-Retrato_de_un_erudito_%28%C2%BFArqu%C3%ADmedes%3F%29%2C_por_Domenico_Fetti.jpg" decoding="async" width="220" height="291" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/6e/Retrato_de_un_erudito_%28%C2%BFArqu%C3%ADmedes%3F%29%2C_por_Domenico_Fetti.jpg/330px-Retrato_de_un_erudito_%28%C2%BFArqu%C3%ADmedes%3F%29%2C_por_Domenico_Fetti.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/6e/Retrato_de_un_erudito_%28%C2%BFArqu%C3%ADmedes%3F%29%2C_por_Domenico_Fetti.jpg/440px-Retrato_de_un_erudito_%28%C2%BFArqu%C3%ADmedes%3F%29%2C_por_Domenico_Fetti.jpg 2x" data-file-width="756" data-file-height="1000" /></a></span></span></span><div class="infobox-caption">Portret Arhimeda, <a href="/w/index.php?title=Domenico_Fetti&action=edit&redlink=1" class="new" title="Domenico Fetti (stran ne obstaja)">Domenico Fetti</a>, 1620</div></td></tr><tr><th scope="row" class="infobox-label" style="background:transparent; padding-top:0.225em;line-height:1.1em; padding-right:0.5em;">Izvirno ime</th><td class="infobox-data" style="vertical-align:middle;line-height:1.3em;"><span class="nickname"><a href="/wiki/Stara_gr%C5%A1%C4%8Dina" class="mw-redirect" title="Stara grščina">starogrško</a> <span lang="grc">Αρχιμήδης</span></span></td></tr><tr><th scope="row" class="infobox-label" style="background:transparent; padding-top:0.225em;line-height:1.1em; padding-right:0.5em;">Rojstvo</th><td class="infobox-data" style="vertical-align:middle;line-height:1.3em;"><span class="wikidata-claim" data-wikidata-property-id="P1477" data-wikidata-claim-id="Q8739$c33b9e32-40bc-ddf3-96fd-584aa2e679d7"><span class="wikidata-snak wikidata-main-snak"><span class="lang" lang="grc">Ἀρχιμήδης</span></span><sup id="cite_ref-&lt;span_class=&quot;wikidata_cite_citetype_Q119509990_citetype_Q1172284_citetype_Q19967801_citetype_Q4182287_citetype_Q1988927&quot;_data-entity-id=&quot;Q54919&quot;&gt;Virtualna_mednarodna_normativna_datoteka&lt;span_class=&quot;wef_low_priority_links&quot;&gt;_—_[[:d:Q988937|[Dublin,_Ohio]]]:_[[:Online_Computer_Library_Center|OCLC]],_2003.&lt;/span&gt;&lt;/span&gt;&lt;div_style=&quot;display:none&quot;&gt;[[d:Track:Q988937]][[d:Track:Q54919]]&lt;/div&gt;_1-0" class="reference"><a href="#cite_note-&lt;span_class=&quot;wikidata_cite_citetype_Q119509990_citetype_Q1172284_citetype_Q19967801_citetype_Q4182287_citetype_Q1988927&quot;_data-entity-id=&quot;Q54919&quot;&gt;Virtualna_mednarodna_normativna_datoteka&lt;span_class=&quot;wef_low_priority_links&quot;&gt;_—_[[:d:Q988937|[Dublin,_Ohio]]]:_[[:Online_Computer_Library_Center|OCLC]],_2003.&lt;/span&gt;&lt;/span&gt;&lt;div_style=&quot;display:none&quot;&gt;[[d:Track:Q988937]][[d:Track:Q54919]]&lt;/div&gt;-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup></span><br /><span class="wikidata-claim" data-wikidata-property-id="P569" data-wikidata-claim-id="Q8739$ce895efe-4e48-04ff-aacd-4140893e5ed6"><span class="wikidata-snak wikidata-main-snak"><span style="border-bottom: 1px dotted; cursor: help;" title="okrog">cca. </span><span style="white-space:nowrap;"><a href="/wiki/287_pr._n._%C5%A1t." title="287 pr. n. št.">287 pr. n. št.</a></span></span><sup id="cite_ref-&lt;span_class=&quot;wikidata_cite_citetype_Q36524_citetype_Q17152639&quot;_data-entity-id=&quot;Q18785969&quot;&gt;British_Museum_person-institution_thesaurus&lt;span_class=&quot;wef_low_priority_links&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;div_style=&quot;display:none&quot;&gt;[[d:Track:Q18785969]]&lt;/div&gt;_2-0" class="reference"><a href="#cite_note-&lt;span_class=&quot;wikidata_cite_citetype_Q36524_citetype_Q17152639&quot;_data-entity-id=&quot;Q18785969&quot;&gt;British_Museum_person-institution_thesaurus&lt;span_class=&quot;wef_low_priority_links&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;div_style=&quot;display:none&quot;&gt;[[d:Track:Q18785969]]&lt;/div&gt;-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-&lt;span_class=&quot;wikidata_cite_citetype_Q615699&quot;_data-entity-id=&quot;Q5375741&quot;&gt;&lt;i_class=&quot;wef_low_priority_links&quot;&gt;Toomer&amp;nbsp;G.&amp;nbsp;J.&lt;/i&gt;_[http://www.britannica.com/biography/Archimedes_Encyclopædia_Britannica]&lt;span_class=&quot;wef_low_priority_links&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;div_style=&quot;display:none&quot;&gt;[[d:Track:Q5375741]]&lt;/div&gt;_3-0" class="reference"><a href="#cite_note-&lt;span_class=&quot;wikidata_cite_citetype_Q615699&quot;_data-entity-id=&quot;Q5375741&quot;&gt;&lt;i_class=&quot;wef_low_priority_links&quot;&gt;Toomer&amp;nbsp;G.&amp;nbsp;J.&lt;/i&gt;_[http://www.britannica.com/biography/Archimedes_Encyclopædia_Britannica]&lt;span_class=&quot;wef_low_priority_links&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;div_style=&quot;display:none&quot;&gt;[[d:Track:Q5375741]]&lt;/div&gt;-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup><sup><a href="https://www.wikidata.org/wiki/Q8739#P569" class="extiw" title="d:Q8739">[…]</a></sup></span><br /><span class="wikidata-claim" data-wikidata-property-id="P19" data-wikidata-claim-id="Q8739$7da79af6-4853-e6a6-ed55-04cb77ba1b3a"><span class="wikidata-snak wikidata-main-snak"><span class="iw" data-title="antične Sirakuze"><a href="/w/index.php?title=Anti%C4%8Dne_Sirakuze&action=edit&redlink=1" class="new" title="Antične Sirakuze (stran ne obstaja)">antične Sirakuze</a><sup class="noprint"><a href="https://www.wikidata.org/wiki/Q4420718" class="extiw" title="d:Q4420718"><span style="font-style:normal; font-weight:normal;" title="Članek «antične Sirakuze» v Wikipodatkih">[d]</span></a></sup></span></span><sup id="cite_ref-&lt;span_class=&quot;wikidata_cite_citetype_Q30279428&quot;_data-entity-id=&quot;Q30092237&quot;&gt;&lt;i_class=&quot;wef_low_priority_links&quot;&gt;[[:ru:Любкер,_Фридрих|Любкер&amp;nbsp;Ф.]]&lt;/i&gt;_[http://dlib.rsl.ru/01003599381_Archimedes]_//_&#039;&#039;[[:d:Q30059240|Реальный_словарь_классических_древностей_по_Любкеру]]&#039;&#039;&lt;span_class=&quot;wef_low_priority_links&quot;&gt;_—_&lt;span_title=&quot;Sankt_Peterburg&quot;_style=&quot;border-bottom:_1px_dotted;_cursor:_help;_white-space:_nowrap&quot;&gt;Sankt_Peterburg.&lt;/span&gt;:_[[:ru:Филологическое_общество|Общество_классической_филологии_и_педагогики]],_1885._—_С.&amp;nbsp;130-131.&lt;/span&gt;&lt;/span&gt;&lt;div_style=&quot;display:none&quot;&gt;[[d:Track:Q30092237]][[d:Track:Q30059240]][[d:Track:Q24933120]][[d:Track:Q101490]]&lt;/div&gt;_5-0" class="reference"><a href="#cite_note-&lt;span_class=&quot;wikidata_cite_citetype_Q30279428&quot;_data-entity-id=&quot;Q30092237&quot;&gt;&lt;i_class=&quot;wef_low_priority_links&quot;&gt;[[:ru:Любкер,_Фридрих|Любкер&amp;nbsp;Ф.]]&lt;/i&gt;_[http://dlib.rsl.ru/01003599381_Archimedes]_//_&#039;&#039;[[:d:Q30059240|Реальный_словарь_классических_древностей_по_Любкеру]]&#039;&#039;&lt;span_class=&quot;wef_low_priority_links&quot;&gt;_—_&lt;span_title=&quot;Sankt_Peterburg&quot;_style=&quot;border-bottom:_1px_dotted;_cursor:_help;_white-space:_nowrap&quot;&gt;Sankt_Peterburg.&lt;/span&gt;:_[[:ru:Филологическое_общество|Общество_классической_филологии_и_педагогики]],_1885._—_С.&amp;nbsp;130-131.&lt;/span&gt;&lt;/span&gt;&lt;div_style=&quot;display:none&quot;&gt;[[d:Track:Q30092237]][[d:Track:Q30059240]][[d:Track:Q24933120]][[d:Track:Q101490]]&lt;/div&gt;-5"><span class="cite-bracket">[</span>5<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-&lt;span_class=&quot;wikidata_cite_citetype_Q36524&quot;_data-entity-id=&quot;Q105263158&quot;&gt;Archivio_di_Autorità_del_Museo_Galileo&lt;span_class=&quot;wef_low_priority_links&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;div_style=&quot;display:none&quot;&gt;[[d:Track:Q105263158]]&lt;/div&gt;_6-0" class="reference"><a href="#cite_note-&lt;span_class=&quot;wikidata_cite_citetype_Q36524&quot;_data-entity-id=&quot;Q105263158&quot;&gt;Archivio_di_Autorità_del_Museo_Galileo&lt;span_class=&quot;wef_low_priority_links&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;div_style=&quot;display:none&quot;&gt;[[d:Track:Q105263158]]&lt;/div&gt;-6"><span class="cite-bracket">[</span>6<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-&lt;span_class=&quot;wikidata_cite_citetype_Q36524_citetype_Q17152639_citetype_Q1172284&quot;_data-entity-id=&quot;Q36578&quot;&gt;[http://d-nb.info/gnd/118503863/_Record_#118503863]_//_Gemeinsame_Normdatei&lt;span_class=&quot;wef_low_priority_links&quot;&gt;_—_2012—2016.&lt;/span&gt;&lt;/span&gt;&lt;div_style=&quot;display:none&quot;&gt;[[d:Track:Q27302]][[d:Track:Q36578]]&lt;/div&gt;_7-0" class="reference"><a href="#cite_note-&lt;span_class=&quot;wikidata_cite_citetype_Q36524_citetype_Q17152639_citetype_Q1172284&quot;_data-entity-id=&quot;Q36578&quot;&gt;[http://d-nb.info/gnd/118503863/_Record_#118503863]_//_Gemeinsame_Normdatei&lt;span_class=&quot;wef_low_priority_links&quot;&gt;_—_2012—2016.&lt;/span&gt;&lt;/span&gt;&lt;div_style=&quot;display:none&quot;&gt;[[d:Track:Q27302]][[d:Track:Q36578]]&lt;/div&gt;-7"><span class="cite-bracket">[</span>7<span class="cite-bracket">]</span></a></sup></span></td></tr><tr><th scope="row" class="infobox-label" style="background:transparent; padding-top:0.225em;line-height:1.1em; padding-right:0.5em;">Smrt</th><td class="infobox-data" style="vertical-align:middle;line-height:1.3em;"><span class="wikidata-claim" data-wikidata-property-id="P570" data-wikidata-claim-id="Q8739$6c98ab49-48af-be37-81c9-4ca2225c7761"><span class="wikidata-snak wikidata-main-snak"><span style="white-space:nowrap;"><a href="/wiki/212_pr._n._%C5%A1t." title="212 pr. n. št.">212 pr. n. št.</a></span></span><sup id="cite_ref-&lt;span_class=&quot;wikidata_cite_citetype_Q36524_citetype_Q7094076_citetype_Q27031827_citetype_Q595971&quot;_data-entity-id=&quot;Q19938912&quot;&gt;data.bnf.fr:_platforma_za_odprte_podatke&lt;span_class=&quot;wef_low_priority_links&quot;&gt;_—_2011.&lt;/span&gt;&lt;/span&gt;&lt;div_style=&quot;display:none&quot;&gt;[[d:Track:Q193563]][[d:Track:Q19938912]]&lt;/div&gt;_8-0" class="reference"><a href="#cite_note-&lt;span_class=&quot;wikidata_cite_citetype_Q36524_citetype_Q7094076_citetype_Q27031827_citetype_Q595971&quot;_data-entity-id=&quot;Q19938912&quot;&gt;data.bnf.fr:_platforma_za_odprte_podatke&lt;span_class=&quot;wef_low_priority_links&quot;&gt;_—_2011.&lt;/span&gt;&lt;/span&gt;&lt;div_style=&quot;display:none&quot;&gt;[[d:Track:Q193563]][[d:Track:Q19938912]]&lt;/div&gt;-8"><span class="cite-bracket">[</span>8<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-&lt;span_class=&quot;wikidata_cite_citetype_Q36524_citetype_Q17152639&quot;_data-entity-id=&quot;Q18785969&quot;&gt;British_Museum_person-institution_thesaurus&lt;span_class=&quot;wef_low_priority_links&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;div_style=&quot;display:none&quot;&gt;[[d:Track:Q18785969]]&lt;/div&gt;_2-1" class="reference"><a href="#cite_note-&lt;span_class=&quot;wikidata_cite_citetype_Q36524_citetype_Q17152639&quot;_data-entity-id=&quot;Q18785969&quot;&gt;British_Museum_person-institution_thesaurus&lt;span_class=&quot;wef_low_priority_links&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;div_style=&quot;display:none&quot;&gt;[[d:Track:Q18785969]]&lt;/div&gt;-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup><sup><a href="https://www.wikidata.org/wiki/Q8739#P570" class="extiw" title="d:Q8739">[…]</a></sup></span><br /><span class="wikidata-claim" data-wikidata-property-id="P20" data-wikidata-claim-id="q8739$C4A67BF1-7683-4652-ABF2-EDA9DB204009"><span class="wikidata-snak wikidata-main-snak"><span class="iw" data-title="antične Sirakuze"><a href="/w/index.php?title=Anti%C4%8Dne_Sirakuze&action=edit&redlink=1" class="new" title="Antične Sirakuze (stran ne obstaja)">antične Sirakuze</a><sup class="noprint"><a href="https://www.wikidata.org/wiki/Q4420718" class="extiw" title="d:Q4420718"><span style="font-style:normal; font-weight:normal;" title="Članek «antične Sirakuze» v Wikipodatkih">[d]</span></a></sup></span></span><sup id="cite_ref-&lt;span_class=&quot;wikidata_cite_citetype_Q36524&quot;_data-entity-id=&quot;Q105263158&quot;&gt;Archivio_di_Autorità_del_Museo_Galileo&lt;span_class=&quot;wef_low_priority_links&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;div_style=&quot;display:none&quot;&gt;[[d:Track:Q105263158]]&lt;/div&gt;_6-1" class="reference"><a href="#cite_note-&lt;span_class=&quot;wikidata_cite_citetype_Q36524&quot;_data-entity-id=&quot;Q105263158&quot;&gt;Archivio_di_Autorità_del_Museo_Galileo&lt;span_class=&quot;wef_low_priority_links&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;div_style=&quot;display:none&quot;&gt;[[d:Track:Q105263158]]&lt;/div&gt;-6"><span class="cite-bracket">[</span>6<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-&lt;span_class=&quot;wikidata_cite_citetype_Q36524_citetype_Q17152639_citetype_Q1172284&quot;_data-entity-id=&quot;Q36578&quot;&gt;[http://d-nb.info/gnd/118503863/_Record_#118503863]_//_Gemeinsame_Normdatei&lt;span_class=&quot;wef_low_priority_links&quot;&gt;_—_2012—2016.&lt;/span&gt;&lt;/span&gt;&lt;div_style=&quot;display:none&quot;&gt;[[d:Track:Q27302]][[d:Track:Q36578]]&lt;/div&gt;_7-2" class="reference"><a href="#cite_note-&lt;span_class=&quot;wikidata_cite_citetype_Q36524_citetype_Q17152639_citetype_Q1172284&quot;_data-entity-id=&quot;Q36578&quot;&gt;[http://d-nb.info/gnd/118503863/_Record_#118503863]_//_Gemeinsame_Normdatei&lt;span_class=&quot;wef_low_priority_links&quot;&gt;_—_2012—2016.&lt;/span&gt;&lt;/span&gt;&lt;div_style=&quot;display:none&quot;&gt;[[d:Track:Q27302]][[d:Track:Q36578]]&lt;/div&gt;-7"><span class="cite-bracket">[</span>7<span class="cite-bracket">]</span></a></sup></span></td></tr><tr><th scope="row" class="infobox-label" style="background:transparent; padding-top:0.225em;line-height:1.1em; padding-right:0.5em;">Druga imena</th><td class="infobox-data nickname" style="vertical-align:middle;line-height:1.3em;">Arhimedes</td></tr><tr><th scope="row" class="infobox-label" style="background:transparent; padding-top:0.225em;line-height:1.1em; padding-right:0.5em;">Področja</th><td class="infobox-data category" style="vertical-align:middle;line-height:1.3em;"><a href="/wiki/Matematika" title="Matematika">matematika</a> <br /> <a href="/wiki/Fizika" title="Fizika">fizika</a> <br /> <a href="/wiki/Statika" title="Statika">statika</a> <br /> <a href="/wiki/Tehnika" title="Tehnika">tehnika</a> <br /> <a href="/wiki/Astronomija" title="Astronomija">astronomija</a> <br /> <a href="/wiki/Izum" title="Izum">izumi</a></td></tr><tr><th scope="row" class="infobox-label" style="background:transparent; padding-top:0.225em;line-height:1.1em; padding-right:0.5em;">Poznan po</th><td class="infobox-data" style="vertical-align:middle;line-height:1.3em;"><a href="/wiki/Arhimedov_aksiom" title="Arhimedov aksiom">Arhimedov aksiom</a> <br /> <a href="/wiki/Arhimedov_dvoj%C4%8Dek" title="Arhimedov dvojček">Arhimedov dvojček</a> <br /> <a href="/w/index.php?title=Arhimedov_krempelj&action=edit&redlink=1" class="new" title="Arhimedov krempelj (stran ne obstaja)">Arhimedov krempelj</a> <br /> <i><a href="/wiki/Arhimedov_palimpsest" title="Arhimedov palimpsest">Arhimedov palimpsest</a></i> <br /> <a href="/w/index.php?title=Arhimedov_problem_goveda&action=edit&redlink=1" class="new" title="Arhimedov problem goveda (stran ne obstaja)">Arhimedov problem goveda</a> <br /> <a href="/wiki/Arhimedov_vijak" title="Arhimedov vijak">Arhimedov vijak</a> <br /> <a href="/wiki/Arhimedov_zakon" title="Arhimedov zakon">Arhimedov zakon</a> <br /> <a href="/wiki/Arhimedova_spirala" title="Arhimedova spirala">Arhimedova spirala</a> <br /> <a href="/wiki/Arhimedova_to%C4%8Dka" title="Arhimedova točka">Arhimedova točka</a> <br /> <a href="/w/index.php?title=Arhimedovo_%C5%A1tevilo&action=edit&redlink=1" class="new" title="Arhimedovo število (stran ne obstaja)">Arhimedovo število</a> <br /> <a href="/wiki/Arhimedska_kro%C5%BEnica" title="Arhimedska krožnica">arhimedska krožnica</a> <br /> <a href="/wiki/Arhimedska_spirala" title="Arhimedska spirala">arhimedska spirala</a> <br /> približek za <a href="/wiki/Pi" title="Pi"><i>π</i></a></td></tr></tbody></table> <p><b>Arhimed</b> (tudi <b>Arhimedes</b>) [arhiméd/arhimédes] (<a href="/w/index.php?title=Predloga:Jezik-grc%CE%91%CF%81%CF%87%CE%B9%CE%BC%CE%AE%CE%B4%CE%B7%CF%82&action=edit&redlink=1" class="new" title="Predloga:Jezik-grcΑρχιμήδης (stran ne obstaja)">Predloga:Jezik-grcΑρχιμήδης</a>), <a href="/wiki/Stari_Grki" class="mw-redirect" title="Stari Grki">starogrški</a> <a href="/wiki/Matematik" class="mw-redirect" title="Matematik">matematik</a>, <a href="/wiki/Fizik" title="Fizik">fizik</a>, <a href="/wiki/Mehanik" title="Mehanik">mehanik</a>, <a href="/wiki/Izumitelj" title="Izumitelj">izumitelj</a>, <a href="/wiki/In%C5%BEenir" title="Inženir">inženir</a> in <a href="/wiki/Astronom" title="Astronom">astronom</a>,<sup id="cite_ref-9" class="reference"><a href="#cite_note-9"><span class="cite-bracket">[</span>9<span class="cite-bracket">]</span></a></sup> * <a href="/wiki/287_pr._n._%C5%A1t." title="287 pr. n. št.">287 pr. n. št.</a>, <a href="/wiki/Sirakuze" title="Sirakuze">Sirakuze</a>, <a href="/wiki/Sicilija" title="Sicilija">Sicilija</a>, † <a href="/wiki/212_pr._n._%C5%A1t." title="212 pr. n. št.">212 pr. n. št.</a>, Sirakuze. </p><p>Čeprav je o njegovem življenju znanih samo nekaj podrobnosti, velja za največjega matematika <a href="/wiki/Antika" title="Antika">antike</a> in enega od največjih vseh časov.<sup id="cite_ref-10" class="reference"><a href="#cite_note-10"><span class="cite-bracket">[</span>10<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-11" class="reference"><a href="#cite_note-11"><span class="cite-bracket">[</span>11<span class="cite-bracket">]</span></a></sup> Arhimed je s konceptom <a href="/wiki/Infinitezimala" title="Infinitezimala">neskončno majhne količine</a> in <a href="/wiki/Metoda_iz%C4%8Drpavanja" title="Metoda izčrpavanja">metodo izčrpavanja</a> izpeljal in strogo dokazal vrsto geometrijskih izrekov, vključno s ploščino <a href="/wiki/Krog" title="Krog">kroga</a>, površino in prostornino <a href="/wiki/Krogla" title="Krogla">krogle</a> ter ploščino pod <a href="/wiki/Parabola" title="Parabola">parabolo</a>,<sup id="cite_ref-12" class="reference"><a href="#cite_note-12"><span class="cite-bracket">[</span>12<span class="cite-bracket">]</span></a></sup> s čimer je že nakazal sodobni <a href="/wiki/Infinitezimalni_ra%C4%8Dun" title="Infinitezimalni račun">infinitezimalni račun</a> in <a href="/wiki/Matemati%C4%8Dna_analiza" title="Matematična analiza">matematično analizo</a>. </p><p>Med druge matematične dosežke spadajo točen približek števila <a href="/wiki/Pi" title="Pi"><i>π</i></a>, ki ga je določil z analizo <a href="/wiki/Arhimedova_spirala" title="Arhimedova spirala">Arhimedove spirale</a>, in eksponentno izražanje zelo <a href="/wiki/Veliko_%C5%A1tevilo" title="Veliko število">velikih števil</a>. Bil je tudi eden prvih, ki je uporabil matematiko za razlago fizikalnih pojavov, postavil temelje <a href="/wiki/Hidrostatika" title="Hidrostatika">hidrostatike</a> in <a href="/wiki/Statika" title="Statika">statike</a>, vključno z razlago delovanja <a href="/wiki/Vzvod" title="Vzvod">vzvoda</a>. Izumil je tudi več naprav, med njimi vijačno črpalko, <a href="/wiki/%C5%A0krip%C4%8Devje" class="mw-redirect" title="Škripčevje">škripčevje</a> in vojaške stroje za obrambo Sirakuz. </p><p>Umrl je med obleganjem Sirakuz. Ubil ga je rimski vojak, čeprav je imel ukaz, da se mu ne sme nič zgoditi. Rimski govornik <a href="/wiki/Mark_Tulij_Cicero" class="mw-redirect" title="Mark Tulij Cicero">Cicero</a> piše, da so mu na njegovo zahtevo na grob postavili kroglo in valj, ki sta simbolizirala njegova matematična odkritja. </p><p>Za razliko od njegovih <a href="/wiki/Izum" title="Izum">izumov</a> so bili njegovi matematični spisi v antiki bolj malo znani. Prebirali in navajali so jih matematiki iz <a href="/wiki/Aleksandrija" title="Aleksandrija">Aleksandrije</a>, prvi obširen zbornik njegovih del pa je nastal šele okoli leta 530. V <a href="/wiki/Konstantinopel" title="Konstantinopel">Konstantinoplu</a> ga je objavil bizantinski matematik, astronom in arhitekt <a href="/wiki/Izidor_iz_Mileta" title="Izidor iz Mileta">Izidor iz Mileta</a>. Komentarje Arhimedovih del, primerne tudi za širše bralstvo, je prvi napisal in objavil <a href="/wiki/Evtokij" title="Evtokij">Evtokij</a> v 6. stoletju. <a href="/wiki/Srednji_vek" title="Srednji vek">Srednji vek</a> je preživelo razmeroma malo kopij Arhimedovih spisov, ki so kasneje postali pomemben vir zamisli za <a href="/wiki/Renesansa" title="Renesansa">renesančne</a> učenjake.<sup id="cite_ref-13" class="reference"><a href="#cite_note-13"><span class="cite-bracket">[</span>13<span class="cite-bracket">]</span></a></sup> Leta 1906 so odkrili do tedaj neznan <i><a href="/wiki/Arhimedov_palimpsest" title="Arhimedov palimpsest">Arhimedov palimpsest</a></i>, grški prepis Arhimedovih del iz 10. stoletja, ki je dal nove vpoglede v Arhimedove matematične metode.<sup id="cite_ref-14" class="reference"><a href="#cite_note-14"><span class="cite-bracket">[</span>14<span class="cite-bracket">]</span></a></sup> </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Življenje"><span id=".C5.BDivljenje"></span>Življenje</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Arhimed&veaction=edit&section=1" title="Uredi razdelek: Življenje" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Arhimed&action=edit&section=1" title="Urejanje izvorne kode razdelka: Življenje"><span>uredi kodo</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Arhimed je bil rojen okoli leta 287 pr. n. št. v sicilskem pristaniškem mestu Sirakuze, ki je bilo tedaj samoupravna kolonija <a href="/wiki/Magna_Graecia" title="Magna Graecia">Magnae Graeciae</a> ob obali južne <a href="/wiki/Italija" title="Italija">Italije</a>. Datum njegovega rojstva temelji na trditvi bizantinskega grškega zgodovinarja Ivana Ceca, da je živel 75 let.<sup id="cite_ref-heath_1897_15-0" class="reference"><a href="#cite_note-heath_1897-15"><span class="cite-bracket">[</span>15<span class="cite-bracket">]</span></a></sup> Arhimed v <i>Psamitu</i> (<i>O številu peščenih zrn</i>) omenja, da je bil njegov oče astronom Fidij, o katerem ni nič znanega. <a href="/wiki/Plutarh" title="Plutarh">Plutarh</a> v svojih <i>Vzporednih življenjih</i> piše, da je bil Arhimed v sorodu s kraljem <a href="/wiki/Hieron_II." title="Hieron II.">Hieronom II.</a> Sirakuškim.<sup id="cite_ref-16" class="reference"><a href="#cite_note-16"><span class="cite-bracket">[</span>16<span class="cite-bracket">]</span></a></sup> Arhimedov življenjepis, ki ga je napisal njegov prijatelj Herakleid, se je izgubil, zato so podrobnosti iz njegovega življenja nejasne.<sup id="cite_ref-17" class="reference"><a href="#cite_note-17"><span class="cite-bracket">[</span>17<span class="cite-bracket">]</span></a></sup> Nič ni znanega na primer o tem, ali je bil poročen in imel otroke. V mladosti je morda študiral v Aleksandriji, kjer sta tedaj študirala tudi <a href="/wiki/Konon" title="Konon">Konon</a> s <a href="/wiki/Samos" title="Samos">Samosa</a> in <a href="/wiki/Eratosten" title="Eratosten">Eratosten</a> iz Kirene. Arhimed omenja, da je bil Konon njegov prijatelj, Eratostenu pa je posvetil uvoda v svoji <i><a href="/w/index.php?title=Metoda_mehanskih_izrekov&action=edit&redlink=1" class="new" title="Metoda mehanskih izrekov (stran ne obstaja)">Metodi mehanskih izrekov</a></i> in <i>Problemu goveda</i>. </p> <figure class="mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/Slika:Cicero_Discovering_the_Tomb_of_Archimedes_by_Benjamin_West.jpeg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/a/a6/Cicero_Discovering_the_Tomb_of_Archimedes_by_Benjamin_West.jpeg/250px-Cicero_Discovering_the_Tomb_of_Archimedes_by_Benjamin_West.jpeg" decoding="async" width="250" height="172" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/a6/Cicero_Discovering_the_Tomb_of_Archimedes_by_Benjamin_West.jpeg/375px-Cicero_Discovering_the_Tomb_of_Archimedes_by_Benjamin_West.jpeg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/a6/Cicero_Discovering_the_Tomb_of_Archimedes_by_Benjamin_West.jpeg/500px-Cicero_Discovering_the_Tomb_of_Archimedes_by_Benjamin_West.jpeg 2x" data-file-width="5937" data-file-height="4081" /></a><figcaption><i><a href="/wiki/Mark_Tulij_Cicero" class="mw-redirect" title="Mark Tulij Cicero">Cicerovo</a> odkritje Arhimedovega groba</i>, <a href="/w/index.php?title=Benjamin_West&action=edit&redlink=1" class="new" title="Benjamin West (stran ne obstaja)">Benjamin West</a>, 1805</figcaption></figure> <p>Umrl je med <a href="/wiki/Druga_punska_vojna" title="Druga punska vojna">2. punsko vojno</a> okoli leta 212 pr. n. št., ko je rimska vojska pod poveljstvom generala Marka Klavdija Marcela po dveh letih obleganja osvojila Sirakuze. Njegovo smrt ob zavzetju Sirakuz so opisali različno. <a href="/wiki/Plutarh" title="Plutarh">Plutarh</a> je o njej poročal takole: </p> <dl><dd><i>»Usoda je hotela, da je bil pogreznjen v delo na nekem problemu in je osredotočil ves svoj razum in svoje oči na diagram, ki ga je raziskoval, in ni opazil, da so vdrli Rimljani in je mesto padlo. Ko se mu je približal rimski vojak in ga pozval, naj mu sledi k Marcelu, je to odklonil, dokler ne reši matematičnega problema. Vojaka je odgovor tako razjezil, da je potegnil meč in ga zaklal.«</i></dd></dl> <p>Arhimedove zadnje besede naj bi bile <i>»Ne dotikaj se mojih krogov!«</i> (latinsko <i>Noli turbare circulos meos!</i>, grško <i>μὴ μου τοὺς κύκλους τάραττε!</i> [Mē mou tous kuklous taratte!]),<sup id="cite_ref-Rores11_18-0" class="reference"><a href="#cite_note-Rores11-18"><span class="cite-bracket">[</span>18<span class="cite-bracket">]</span></a></sup> se pravi matematičnega grafa, ki ga je ravno preučeval. Za to trditev ni nobenega trdnega dokaza, ker ni omenjena v nobenem Plutarhovem zapisu. </p><p>Plutarh ponuja tudi drug, manj znan opis njegove smrti. V njem pravi, da so ga ubili med poskusom predaje. V tej zgodbi je Arhimed nosil matematični instrument, vojak pa je mislil, da nosi dragocenost in ga je ubil. General Marcel naj bi bil zaradi njegove smrti ogorčen, saj ga je imel za uglednega učenjaka in je ukazal, da mu ne smejo storiti nič žalega.<sup id="cite_ref-Rores11_18-1" class="reference"><a href="#cite_note-Rores11-18"><span class="cite-bracket">[</span>18<span class="cite-bracket">]</span></a></sup> </p><p>V <i>Nepozabnih dejanjih in izrekih</i> Valerija Maksima iz 1. stoletja n. št. so Arhimedove zadnje besede malo drugačne: </p> <dl><dd><i>»... sed protecto manibus puluere 'noli' inquit, 'obsecro, istum disturbare'«</i></dd> <dd><i>»... z rokama je pokril prah in rekel 'prosim te, da jih pustiš pri miru'«.</i></dd></dl> <p>Arhimedov grob sta na njegovo željo krasila krogla in valj, ki sta simbolizirala njegovo najslavnejše matematično odkritje. Dokazal je namreč, da sta prostornina in površina krogle enaka dvema tretjinama prostornine in površine enakostraničnega valja z višino, enako premeru krogle. Leta 75 pr. n. št., se pravi 137 let po Arhimedovi smrti, je njegov grob iskal Cicero, ki je služil na Siciliji kot <a href="/wiki/Kvestor" title="Kvestor">kvestor</a>. Zgodbo o Arhimedovem grobu so domačini poznali, nihče pa ni vedel, kje je. Grob je odkril pri Agrigentskih vratih v Sirakuzah. Bil je povsem zanemarjen in zaraščen, zato ga je očistil in nato prebral nekaj napisov na nagrobniku.<sup id="cite_ref-19" class="reference"><a href="#cite_note-19"><span class="cite-bracket">[</span>19<span class="cite-bracket">]</span></a></sup> Potem je sled ponovno izginila, dokler niso leta 1965 o najdbi njegovega groba na dvorišču Hotela Panorama v Sirakuzah poročali italijanski arheologi. Za to, da je grob res njegov, ni nobenega trdnega dokaza.<sup id="cite_ref-20" class="reference"><a href="#cite_note-20"><span class="cite-bracket">[</span>20<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Odkritja_in_iznajdbe">Odkritja in iznajdbe</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Arhimed&veaction=edit&section=2" title="Uredi razdelek: Odkritja in iznajdbe" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Arhimed&action=edit&section=2" title="Urejanje izvorne kode razdelka: Odkritja in iznajdbe"><span>uredi kodo</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="Arhimedov_zakon"><a href="/wiki/Arhimedov_zakon" title="Arhimedov zakon">Arhimedov zakon</a></h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Arhimed&veaction=edit&section=3" title="Uredi razdelek: Arhimedov zakon" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Arhimed&action=edit&section=3" title="Urejanje izvorne kode razdelka: Arhimedov zakon"><span>uredi kodo</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure typeof="mw:File/Thumb"><a href="/wiki/Slika:Archimedes_water_balance.gif" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/e/ec/Archimedes_water_balance.gif" decoding="async" width="180" height="240" class="mw-file-element" data-file-width="180" data-file-height="240" /></a><figcaption>Arhimedova rešitev problema zlate krone</figcaption></figure> <p>Najbolj znana zgodba o Arhimedu pripoveduje, kako je odkril metodo za določane prostornine teles nepravilnih oblik. Arhimedu so prinesli krono, ki naj bi bila izdelana iz čistega <a href="/wiki/Zlato" title="Zlato">zlata</a>, in ga vprašali, ali so goljufivi zlatarji k zlatu primešali tudi nekaj <a href="/wiki/Srebro" title="Srebro">srebra</a>.<sup id="cite_ref-21" class="reference"><a href="#cite_note-21"><span class="cite-bracket">[</span>21<span class="cite-bracket">]</span></a></sup> Arhimed krone ni smel poškodovati, zato jo je potopil v vodo in iz dviga nivoja vode izračunal njeno prostornino. Meritev je mogoča zaradi dejstva, da je voda pri teh pogojih praktično <a href="/wiki/Stisljivost" title="Stisljivost">nestisljiva</a>.<sup id="cite_ref-22" class="reference"><a href="#cite_note-22"><span class="cite-bracket">[</span>22<span class="cite-bracket">]</span></a></sup> Ugotovil je, da je <a href="/wiki/Gostota" title="Gostota">gostota</a> krone manjša od gostote čistega zlata in s tem dokazal, da je k zlatu primešanega nekaj cenejšega srebra. Po tem odkritju je menda gol tekal po sirakuških ulicah in vpil <i>»Eureka!«</i> (grško εὕρηκα [heúrēka]), se pravi <i>»Odkril sem!«</i>.<sup id="cite_ref-23" class="reference"><a href="#cite_note-23"><span class="cite-bracket">[</span>23<span class="cite-bracket">]</span></a></sup> Zgodba o zlati kroni v Arhimedovih znanih delih ni omenjena, v praksi pa pomeni, da je izračun mogoč zaradi možnosti zelo točnega tehtanja mase izpodrinjene tekočine.<sup id="cite_ref-24" class="reference"><a href="#cite_note-24"><span class="cite-bracket">[</span>24<span class="cite-bracket">]</span></a></sup> </p><p><a href="/wiki/Hidrostati%C4%8Dni_tlak" title="Hidrostatični tlak">Hidrostatični tlak</a> in <a href="/wiki/Arhimedov_zakon" title="Arhimedov zakon">Arhimedovo načelo</a> je opisal v razpravi <i>O plavanju teles</i>. Zakon pravi, da na plavajoče telo deluje <a href="/wiki/Sila" title="Sila">sila</a> <a href="/wiki/Vzgon" title="Vzgon">vzgona</a> <i>F</i>, ki je enaka teži izpodrinjene tekočine:<sup id="cite_ref-25" class="reference"><a href="#cite_note-25"><span class="cite-bracket">[</span>25<span class="cite-bracket">]</span></a></sup> </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle F=mg=\rho Vg\!\,,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>F</mi> <mo>=</mo> <mi>m</mi> <mi>g</mi> <mo>=</mo> <mi>ρ<!-- ρ --></mi> <mi>V</mi> <mi>g</mi> <mspace width="negativethinmathspace" /> <mspace width="thinmathspace" /> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle F=mg=\rho Vg\!\,,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2434392a08be367bf468c032c45b0297a5c68a95" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:15.846ex; height:2.676ex;" alt="{\displaystyle F=mg=\rho Vg\!\,,}"></span></dd></dl> <p>kjer je: </p> <ul><li><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle m\!\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>m</mi> <mspace width="negativethinmathspace" /> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle m\!\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e1566f742a01abf7df6a1a331325f798b559b94d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.04ex; height:1.676ex;" alt="{\displaystyle m\!\,}"></span> – <a href="/wiki/Masa" title="Masa">masa</a> izpodrinjene <a href="/wiki/Teko%C4%8Dina" title="Tekočina">tekočine</a></li> <li><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle g\!\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>g</mi> <mspace width="negativethinmathspace" /> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle g\!\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d82ff22941c3956a0bdc250c4c164c5d199f07cf" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.116ex; height:2.009ex;" alt="{\displaystyle g\!\,}"></span> – <a href="/wiki/Te%C5%BEni_pospe%C5%A1ek" title="Težni pospešek">težni pospešek</a></li> <li><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \rho \!\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>ρ<!-- ρ --></mi> <mspace width="negativethinmathspace" /> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \rho \!\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8dfe7f773266aa21dd37387252a399dbeebf0f7f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:1.202ex; height:2.176ex;" alt="{\displaystyle \rho \!\,}"></span> – <a href="/wiki/Gostota" title="Gostota">gostota</a> tekočine</li> <li><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle V\!\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>V</mi> <mspace width="negativethinmathspace" /> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle V\!\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/57f477b42f3d2f2da68d14f43ad821be8f00c22c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.787ex; height:2.176ex;" alt="{\displaystyle V\!\,}"></span> – <a href="/wiki/Prostornina" title="Prostornina">prostornina</a> izpodrinjene tekočine</li></ul> <p>Sila vzgona deluje proti sili teže. Njeno prijemališče je <a href="/wiki/Te%C5%BEi%C5%A1%C4%8De" title="Težišče">težišče</a> telesa. Arhimedova metoda se še danes uporablja za določanje gostote snovi in preučevanje plovnosti teles. </p> <div class="mw-heading mw-heading3"><h3 id="Arhimedov_vijak">Arhimedov vijak</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Arhimed&veaction=edit&section=4" title="Uredi razdelek: Arhimedov vijak" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Arhimed&action=edit&section=4" title="Urejanje izvorne kode razdelka: Arhimedov vijak"><span>uredi kodo</span></a><span class="mw-editsection-bracket">]</span></span></div> <dl><dd><div class="noprint relarticle mainarticle"><i>Glavni članek: <a href="/wiki/Arhimedov_vijak" title="Arhimedov vijak">Arhimedov vijak</a>.</i></div></dd></dl> <figure typeof="mw:File/Thumb"><a href="/wiki/Slika:Archimedes_screw.JPG" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/8/82/Archimedes_screw.JPG/250px-Archimedes_screw.JPG" decoding="async" width="250" height="167" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/8/82/Archimedes_screw.JPG 1.5x" data-file-width="350" data-file-height="234" /></a><figcaption>Tipičen Arhimedov vijak</figcaption></figure> <p>Velik del Arhimedovega inženirskega dela je nastal med izpolnjevanjem potreb domačih Sirakuz. Grški pisatelj <a href="/wiki/Atenej" class="mw-redirect" title="Atenej">Atenej</a> piše, da je sirakuški kralj Hieron II. pri Arhimedu naročil načrte za veliko ladjo <i>Sirakuzijo</i>, ki bi bila uporabna za luksuzno potovanje in kot vojna ladja. <i>Sirakuzija</i> naj bi bila naj bi bila največja ladja, zgrajena v antiki.<sup id="cite_ref-26" class="reference"><a href="#cite_note-26"><span class="cite-bracket">[</span>26<span class="cite-bracket">]</span></a></sup> Po Atenejevem pisanju je lahko nosila 600 ljudi, imela okrasne vrtove, <a href="/wiki/Gimnazija_(Anti%C4%8Dna_Gr%C4%8Dija)" class="mw-redirect" title="Gimnazija (Antična Grčija)">gimnazijo</a> in tempelj, posvečen boginji <a href="/wiki/Afrodita" title="Afrodita">Afroditi</a>. Ker je ladja puščala in je vanjo vdiralo veliko vode, ja Arhimed domnevno razvil vijak, s katerim je izčrpaval kalužo. Arhimedov stroj je imel vijačnico, vgrajeno v notranjosti valja. Poganjal se je z rokami. Kasneje se je izkazalo, da je uporaben tudi za črpanje vode iz nižje ležečih namakalnih kanalov. Arhimedov vijak se še vedno uporablja za črpanje tekočin iz suhih zrnatih trdnih snovi, na primer <a href="/wiki/Premog" title="Premog">premoga</a> in <a href="/wiki/%C5%BDito" title="Žito">žita</a>. Arhimedov vijak, ki ga je v rimskih časih opisal Mark Vitruvij, bi lahko bil izboljšana različica vijačne črpalke, ki so jo uporabljali za namakanje <a href="/wiki/Babilonski_vise%C4%8Di_vrtovi" title="Babilonski viseči vrtovi">Babilonskih visečih vrtov</a>.<sup id="cite_ref-27" class="reference"><a href="#cite_note-27"><span class="cite-bracket">[</span>27<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-28" class="reference"><a href="#cite_note-28"><span class="cite-bracket">[</span>28<span class="cite-bracket">]</span></a></sup> </p><p>Prvi <a href="/wiki/Parnik" title="Parnik">parnik</a> s pogonom na Arhimedov vijak, zgrajen leta 1838, so njegovemu izumitelju v čast imenovali SS Archimedes.<sup id="cite_ref-29" class="reference"><a href="#cite_note-29"><span class="cite-bracket">[</span>29<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Arhimedov_krempelj">Arhimedov krempelj</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Arhimed&veaction=edit&section=5" title="Uredi razdelek: Arhimedov krempelj" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Arhimed&action=edit&section=5" title="Urejanje izvorne kode razdelka: Arhimedov krempelj"><span>uredi kodo</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure typeof="mw:File/Thumb"><a href="/wiki/Slika:Parigi_griffe.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/3/3b/Parigi_griffe.jpg/250px-Parigi_griffe.jpg" decoding="async" width="250" height="201" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/3b/Parigi_griffe.jpg/375px-Parigi_griffe.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/3b/Parigi_griffe.jpg/500px-Parigi_griffe.jpg 2x" data-file-width="1647" data-file-height="1325" /></a><figcaption>Giulio Parigi: <a href="/w/index.php?title=Arhimedov_krempelj&action=edit&redlink=1" class="new" title="Arhimedov krempelj (stran ne obstaja)">Arhimedov krempelj</a>, znan tudi kot železna roka</figcaption></figure> <p><a href="/w/index.php?title=Arhimedov_krempelj&action=edit&redlink=1" class="new" title="Arhimedov krempelj (stran ne obstaja)">Arhimedov krempelj</a> je bil eden od strojev, ki jih je med <a href="/wiki/Druga_punska_vojna" title="Druga punska vojna">2. punsko vojno</a> skonstruiral Arhimed za obrambo Sirakuz pred vojsko <a href="/wiki/Rimska_republika" title="Rimska republika">Rimske republike</a> pod poveljstvom generala Marka Klavdija Marcela. Videz in delovanje stroja sta še vedno predmet razprav. Antični viri trdijo, da je stal na morskem obzidju za obrambo pred napadom z morja. Skopi opisi pravijo, da je bil nekakšen <a href="/wiki/%C5%BDerjav_(stroj)" title="Žerjav (stroj)">žerjav</a> oziroma ogromno dvigalo, s katerega je visela kljuka. To se je lahko zagozdilo za sovražno ladjo, jo z dvigalom dvignilo in tako potopilo. </p><p>V zadnjem času so večkrat poskusili rekonstruirati in preskusiti Arhimedovo orožje. Leta 2005 je ekipa, ki jo je zbral Discovery Channel, v televizijski oddaji <i>Super orožja antičnega sveta</i> zgradila svojo inačico orožja in dokazala, da deluje.<sup id="cite_ref-30" class="reference"><a href="#cite_note-30"><span class="cite-bracket">[</span>30<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-31" class="reference"><a href="#cite_note-31"><span class="cite-bracket">[</span>31<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Toplotni_žarek"><span id="Toplotni_.C5.BEarek"></span>Toplotni žarek</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Arhimed&veaction=edit&section=6" title="Uredi razdelek: Toplotni žarek" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Arhimed&action=edit&section=6" title="Urejanje izvorne kode razdelka: Toplotni žarek"><span>uredi kodo</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Arhimed je kot orožje morda uporabil tudi več <a href="/wiki/Zrcalo" title="Zrcalo">zrcal</a>, ki so kot celota delovala kot parabolično zrcalo in bi lahko vžgala rimske oblegovalne ladje. V 2. stoletju n. št. je grški retorik Lucijan zapisal, da je Arhimed med obleganjem Sirakuz uničili sovražne ladje z ognjem. Nekaj stoletij kasneje je grški arhitekt in matematik <a href="/w/index.php?title=Antemij&action=edit&redlink=1" class="new" title="Antemij (stran ne obstaja)">Antemij</a> kot Arhimedovo orožje omenil konkavne <a href="/wiki/Le%C4%8Da_(optika)" title="Leča (optika)">leče</a>.<sup id="cite_ref-32" class="reference"><a href="#cite_note-32"><span class="cite-bracket">[</span>32<span class="cite-bracket">]</span></a></sup> </p><p>Tudi to domnevno orožje je že od <a href="/wiki/Renesansa" title="Renesansa">renesanse</a> predmet razprav. <a href="/wiki/Ren%C3%A9_Descartes" title="René Descartes">Descartes</a> ga je zavrnil kot nemogoče, medtem ko so sodobni raziskovalci poskušali poustvariti njegov učinek samo s sredstvi, ki jih je imel na razpolago Arhimed.<sup id="cite_ref-33" class="reference"><a href="#cite_note-33"><span class="cite-bracket">[</span>33<span class="cite-bracket">]</span></a></sup> Mednje so spadali polirani <a href="/wiki/Bron" title="Bron">bronasti</a> ali <a href="/wiki/Baker" title="Baker">bakreni</a> ščiti, ki bi delovali kot sistem paraboličnih zrcal in usmerili svetlobo na sovražno ladjo. Enako načelo uporabljajo sodobne sončne peči. </p> <figure class="mw-halign-left" typeof="mw:File/Thumb"><a href="/wiki/Slika:Archimedes-Mirror_by_Giulio_Parigi.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/8/80/Archimedes-Mirror_by_Giulio_Parigi.jpg/300px-Archimedes-Mirror_by_Giulio_Parigi.jpg" decoding="async" width="300" height="163" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/80/Archimedes-Mirror_by_Giulio_Parigi.jpg/450px-Archimedes-Mirror_by_Giulio_Parigi.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/80/Archimedes-Mirror_by_Giulio_Parigi.jpg/600px-Archimedes-Mirror_by_Giulio_Parigi.jpg 2x" data-file-width="1600" data-file-height="867" /></a><figcaption>Umetnikova predstava uporabe paraboličnih zrcal proti rimskih ladjam.</figcaption></figure> <p>Preskus Arhimedovega toplotnega žarka je leta 1973 opravil grški znanstvenik Ioannis Sakkas v vojaški pomorski bazi Skaramagas pri Atenah. 70 pobakrenih zrcal velikosti 1,5 × 1,0 m je usmeril na maketo rimske bojne ladje iz vezanega lesa, oddaljene približno 50 m. Ko so bila zrcala točno usmerjena, se je ladja po nekaj sekundah vžgala. K temu je verjetno veliko pripomogel premaz iz <a href="/wiki/Bitumen" title="Bitumen">bitumna</a>,<sup id="cite_ref-34" class="reference"><a href="#cite_note-34"><span class="cite-bracket">[</span>34<span class="cite-bracket">]</span></a></sup> s katerim so premazovali ladje tudi v klasičnem obdobju. </p><p>Oktobra 2005 je preskus izvedla skupina študentov s <a href="/wiki/Tehnolo%C5%A1ki_in%C5%A1titut_Massachusettsa" title="Tehnološki inštitut Massachusettsa">Tehnološkega inštituta Massachusettsa</a>. Uporabila je 127 kvadratnih zrcal s stranico 30 cm, usmerjenih na maketo lesene ladje, oddaljeno 30 m. Maketa se je vžgala samo ob povsem jasnem vremenu in ko je bila pri miru najmanj deset minut. Zaključek preskusa je bil, da so pri teh pogoji zrcala uporabno orožje. Ekipa z istega inštituta je preskus ponovila v <a href="/wiki/San_Francisco" title="San Francisco">San Franciscu</a> za televizijsko oddajo <i><a href="/wiki/MythBusters" title="MythBusters">MythBusters</a></i>. Za tarčo je izbrala leseno ribiško barko. Med preskusom je les pooglenel in se samo rahlo vnel, ker </p> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/Slika:Archimedes_Heat_Ray_conceptual_diagram-sl.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/6/6a/Archimedes_Heat_Ray_conceptual_diagram-sl.svg/220px-Archimedes_Heat_Ray_conceptual_diagram-sl.svg.png" decoding="async" width="220" height="263" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/6a/Archimedes_Heat_Ray_conceptual_diagram-sl.svg/330px-Archimedes_Heat_Ray_conceptual_diagram-sl.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/6a/Archimedes_Heat_Ray_conceptual_diagram-sl.svg/440px-Archimedes_Heat_Ray_conceptual_diagram-sl.svg.png 2x" data-file-width="300" data-file-height="358" /></a><figcaption>Diagram Arhimedovega toplotnega žarka.</figcaption></figure> <p>je za njegov vžig potrebna temperatura približno 300 °C.<sup id="cite_ref-35" class="reference"><a href="#cite_note-35"><span class="cite-bracket">[</span>35<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-36" class="reference"><a href="#cite_note-36"><span class="cite-bracket">[</span>36<span class="cite-bracket">]</span></a></sup> </p><p>Ekipa <i>MythBusters</i> je preskus uvrstila med nepotrjene oziroma spodletele, ker so za njegov uspeh potrebne idealne vremenske razmere in dovolj velik čas. Poudarili so, da se Sirakuze odpirajo proti vzhodu, zato bi bila obramba uspešna samo dopoldne, ko je učinek sončne svetlobe ob taki legi največji, in da so imeli branilci za uničevanje ladij na majhne razdalje na razpolago mnogo bolj enostavna in dostopna orožja, na primer goreče <a href="/wiki/Pu%C5%A1%C4%8Dica_(izstrelek)" title="Puščica (izstrelek)">puščice</a> in <a href="/wiki/Katapult_(oro%C5%BEje)" title="Katapult (orožje)">katapulte</a>.<sup id="cite_ref-37" class="reference"><a href="#cite_note-37"><span class="cite-bracket">[</span>37<span class="cite-bracket">]</span></a></sup> </p><p>Ekipa <i>MythBusters</i> je preskuse ponovila decembra 2010 in jih ponovno uvrstila v kategorijo nepotrjeno, ker temperatura jader na ladji nikoli ni dosegla temperature 210 °C, potrebne za njihov vžig. Eden od zaključkov je bil, da bi zrcala bolj motila oziroma slepila ladijsko posadko kot resno ogrozila njihovo ladjo.<sup id="cite_ref-38" class="reference"><a href="#cite_note-38"><span class="cite-bracket">[</span>38<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Druga_odkritja_in_iznajdbe">Druga odkritja in iznajdbe</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Arhimed&veaction=edit&section=7" title="Uredi razdelek: Druga odkritja in iznajdbe" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Arhimed&action=edit&section=7" title="Urejanje izvorne kode razdelka: Druga odkritja in iznajdbe"><span>uredi kodo</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure typeof="mw:File/Thumb"><a href="/wiki/Slika:Palanca-ejemplo.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/f/f2/Palanca-ejemplo.jpg/250px-Palanca-ejemplo.jpg" decoding="async" width="250" height="112" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/f2/Palanca-ejemplo.jpg/375px-Palanca-ejemplo.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/f2/Palanca-ejemplo.jpg/500px-Palanca-ejemplo.jpg 2x" data-file-width="888" data-file-height="398" /></a><figcaption>Uravnotežen vzvod</figcaption></figure> <p>Arhimed ni izumil <a href="/wiki/Vzvod" title="Vzvod">vzvoda</a>, ampak je v delu <i>Ravnotežje geometrijskih likov</i> pojasnil načelo njegovega delovanja in s tem postavil temelje sodobne <a href="/wiki/Statika" title="Statika">statike</a>. Vzvod je tog, v neki točki podprt drog. Dela vzvoda levo in desno od podpore sta ročici ali kraka. Vzvod je v ravnotežju kadar sta produkta bremen in ročic enaka: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle F_{1}x_{1}=F_{2}x_{2}\!\,,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>F</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>=</mo> <msub> <mi>F</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mspace width="negativethinmathspace" /> <mspace width="thinmathspace" /> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle F_{1}x_{1}=F_{2}x_{2}\!\,,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d26b3336ac3abd04f087fbba136fd4c3c233ecb3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:13.611ex; height:2.509ex;" alt="{\displaystyle F_{1}x_{1}=F_{2}x_{2}\!\,,}"></span></dd></dl> <p>kjer sta: </p> <ul><li><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle F_{1},F_{2}\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>F</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>,</mo> <msub> <mi>F</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle F_{1},F_{2}\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9a405044dc8fca466fa25a84bb26ae8f49553810" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:6.519ex; height:2.509ex;" alt="{\displaystyle F_{1},F_{2}\,}"></span> – <a href="/wiki/Sila" title="Sila">sili</a></li> <li><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle x_{1},x_{2}\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>,</mo> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x_{1},x_{2}\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f15ff9032953a5de6e72f97a3e66936982e232b4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:6.189ex; height:2.009ex;" alt="{\displaystyle x_{1},x_{2}\,}"></span> – ročici</li></ul> <p>To pomeni, da je za dvig bremena na kratki ročici na daljši ročici potrebna manjša sila.<sup id="cite_ref-39" class="reference"><a href="#cite_note-39"><span class="cite-bracket">[</span>39<span class="cite-bracket">]</span></a></sup> </p><p>Po <a href="/wiki/Papos_Aleksandrijski" title="Papos Aleksandrijski">Paposu Aleksandrijskem</a> je Arhimed po svojem odkritju izjavil: <i>»Dajte mi mesto, kamor ga bom lahko oprl, pa bom premaknil Zemljo«</i> (grško <a href="/wiki/Stara_gr%C5%A1%C4%8Dina" class="mw-redirect" title="Stara grščina">starogrško</a> <span lang="grc">δῶς μοι πᾶ στῶ καὶ τὰν γᾶν κινάσω</span>).<sup id="cite_ref-40" class="reference"><a href="#cite_note-40"><span class="cite-bracket">[</span>40<span class="cite-bracket">]</span></a></sup> Svojo trditev je na kraljev poziv menda dokazal tako, da je ladjo, polno Sirakužanov, s sistemom vzvodov in škripcev dvignil iz morja in jo odložil na obalo. Kralj je potem izjavil, da je treba Arhimedu odslej verjeti brez ugovora. </p><p>Načelo so pred njim opisali <a href="/wiki/Aristotel" title="Aristotel">Aristotelovi</a> učenci <a href="/wiki/Peripatetiki" title="Peripatetiki">peripatetiki</a>, njegovo odkritje pa se včasih pripisuje Arhitu.<sup id="cite_ref-41" class="reference"><a href="#cite_note-41"><span class="cite-bracket">[</span>41<span class="cite-bracket">]</span></a></sup> </p> <figure class="mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/Slika:Antikythera_mechanism.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/e/e8/Antikythera_mechanism.svg/200px-Antikythera_mechanism.svg.png" decoding="async" width="200" height="272" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/e8/Antikythera_mechanism.svg/300px-Antikythera_mechanism.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/e8/Antikythera_mechanism.svg/400px-Antikythera_mechanism.svg.png 2x" data-file-width="616" data-file-height="839" /></a><figcaption>Shematski prikaz <a href="/wiki/Mehanizem_z_Antikitere" title="Mehanizem z Antikitere">mehanizma z Antikitere</a></figcaption></figure> <p>Plutarh piše, da je Arhimed zasnoval <a href="/wiki/%C5%A0krip%C4%8Devje" class="mw-redirect" title="Škripčevje">škripčevje</a>, ki je delovalo po načelu vzvoda in je mornarjem omogočalo dvigovanje sicer pretežkih bremen.<sup id="cite_ref-42" class="reference"><a href="#cite_note-42"><span class="cite-bracket">[</span>42<span class="cite-bracket">]</span></a></sup> Zaslužen je tudi za izboljšanje moči in točnosti <a href="/wiki/Katapult_(oro%C5%BEje)" title="Katapult (orožje)">katapulta</a> in izum <a href="/w/index.php?title=Odometer&action=edit&redlink=1" class="new" title="Odometer (stran ne obstaja)">odometra</a>. Odometer je opisan kot voziček z zobniškim mehanizmom, ki je po vsaki prepotovani milji v posodo spustil kroglico.<sup id="cite_ref-43" class="reference"><a href="#cite_note-43"><span class="cite-bracket">[</span>43<span class="cite-bracket">]</span></a></sup> </p><p>Cicero na kratko omenja Arhimeda v svojem delu <i>De re publica</i>, izmišljenem pogovoru, ki naj bi potekal leta 129 pred n. št. General Mark Klavdij Marcel je po zavzetju Sirakuz okoli leta 212 pred n. št. dejal, da bo v Rim odnesel dva Arhimedova mehanizma, ki sta kazala gibanje <a href="/wiki/Sonce" title="Sonce">Sonca</a>, <a href="/wiki/Luna" title="Luna">Lune</a> in petih <a href="/wiki/Planet" title="Planet">planetov</a> in sta bila uporabna v <a href="/wiki/Astronomija" title="Astronomija">astronomiji</a>. Cicero omenja tudi, da sta podoben mehanizem zasnovala <a href="/wiki/Tales" title="Tales">Tales</a> iz Mileta in <a href="/wiki/Evdoks" title="Evdoks">Evdoks</a>. Marcel naj bi enega od mehanizmov obdržal zase kot vojni plen, drugega pa poklonil templju Vrlin v Rimu. Napravi sta bila nekakšna <a href="/w/index.php?title=Planetarij&action=edit&redlink=1" class="new" title="Planetarij (stran ne obstaja)">planetarija</a> ali modela planetnega sistema.<sup id="cite_ref-44" class="reference"><a href="#cite_note-44"><span class="cite-bracket">[</span>44<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-45" class="reference"><a href="#cite_note-45"><span class="cite-bracket">[</span>45<span class="cite-bracket">]</span></a></sup> </p><p>Papos trdi, da je Arhimed opisal konstrukcijo mehanizma v rokopisu <i>O izdelavi nebesnega svoda</i>, ki se je izgubil. Sodobne raziskave na tem področju so se osredotočile na podoben <a href="/wiki/Mehanizem_z_Antikitere" title="Mehanizem z Antikitere">mehanizem z Antikitere</a>, izdelan okoli leta 100 pred n. št.<sup id="cite_ref-46" class="reference"><a href="#cite_note-46"><span class="cite-bracket">[</span>46<span class="cite-bracket">]</span></a></sup> Za izdelavo mehanizma je bilo potrebno prefinjeno poznavanje diferencialnih reduktorjev,<sup id="cite_ref-47" class="reference"><a href="#cite_note-47"><span class="cite-bracket">[</span>47<span class="cite-bracket">]</span></a></sup> za katerega se je dolgo časa domnevalo, da presega domet antične tehnologije. Odkritje mehanizma z Antikitere leta 1902 je dokazalo, da so tovrstne naprave poznali že stari Grki.<sup id="cite_ref-48" class="reference"><a href="#cite_note-48"><span class="cite-bracket">[</span>48<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Matematika">Matematika</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Arhimed&veaction=edit&section=8" title="Uredi razdelek: Matematika" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Arhimed&action=edit&section=8" title="Urejanje izvorne kode razdelka: Matematika"><span>uredi kodo</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/Slika:PiArchimede4.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/b/be/PiArchimede4.svg/250px-PiArchimede4.svg.png" decoding="async" width="250" height="149" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/be/PiArchimede4.svg/375px-PiArchimede4.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/be/PiArchimede4.svg/500px-PiArchimede4.svg.png 2x" data-file-width="420" data-file-height="251" /></a><figcaption>Arhimed je rabil <a href="/wiki/Pitagorov_izrek" title="Pitagorov izrek">Pitagorov izrek</a> za računanje stranice <a href="/wiki/Dvanajstkotnik" title="Dvanajstkotnik">dvanajstkotnika</a> iz <a href="/wiki/%C5%A0estkotnik" title="Šestkotnik">šestkotnika</a> in za vsako naslednjo podvojitev stranic <a href="/wiki/Pravilni_mnogokotnik" title="Pravilni mnogokotnik">pravilnega</a> <a href="/wiki/Mnogokotnik" title="Mnogokotnik">mnogokotnika</a>.</figcaption></figure> <p>Arhimed se ni ukvarjal samo z izumljanjem mehanskih naprav, temveč tudi s <a href="/wiki/Fizika" title="Fizika">fiziko</a>, <a href="/wiki/Astronomija" title="Astronomija">astronomijo</a> in zlasti z <a href="/wiki/Matematika" title="Matematika">matematiko</a>. Obvladoval je <a href="/wiki/Infinitezimala" title="Infinitezimala">infinitezimale</a>, števila z zelo majhnimi absolutnimi vrednostmi, vendar večja od 0, in jih uporabljal na način, podoben sedanjemu <a href="/wiki/Integral" title="Integral">integriranju</a>. </p><p>Skušal je načrtati <a href="/wiki/Pravilni_mnogokotnik" title="Pravilni mnogokotnik">pravilni</a> <a href="/wiki/Sedemkotnik" title="Sedemkotnik">sedemkotnik</a>. </p> <div class="mw-heading mw-heading3"><h3 id="Merjenje_kroga"><i>Merjenje kroga</i></h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Arhimed&veaction=edit&section=9" title="Uredi razdelek: Merjenje kroga" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Arhimed&action=edit&section=9" title="Urejanje izvorne kode razdelka: Merjenje kroga"><span>uredi kodo</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Z <a href="/wiki/Dokaz_s_protislovjem" title="Dokaz s protislovjem">drobljenjem do absurda</a> (<i><a href="/wiki/Reductio_ad_absurdum" class="mw-redirect" title="Reductio ad absurdum">reductio ad absurdum</a></i>) je lahko rešil probleme s poljubno točnostjo ali določil meje, znotraj katerih je ležal odgovor. S tehniko, znano kot <a href="/wiki/Metoda_iz%C4%8Drpavanja" title="Metoda izčrpavanja">metoda izčrpavanja</a>, je izračunal približno vrednost števila <i>π</i>. V <i><a href="/wiki/Merjenje_kroga" title="Merjenje kroga">Merjenju kroga</a></i> (<a href="/wiki/Stara_gr%C5%A1%C4%8Dina" class="mw-redirect" title="Stara grščina">starogrško</a> <span lang="grc">Κύκλου μέτρησις</span>) je to opravil tako, da je krogu orisal in vrisal pravilna <a href="/wiki/%C5%A0estkotnik" title="Šestkotnik">šestkotnika</a> in nato postopoma podvajal število stranic obeh mnogokotnikov. Predpostavil je, da se bo z naraščanjem števila stranic vsota njihovih dolžin približevala obsegu kroga. Po vsakem koraku je zato izračunal vsoti stranic obeh likov in ju primerjal. Po štirih korakih se je njihovo število povečalo na <i>n</i> = 96 = 2<sup>5</sup> · 3, izračunani približek števila <i>π</i> pa je dobil vrednost: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 3{\frac {10}{71}}=[3;7,10]<3{\frac {1137}{8069}}=[3;7,10,2,1,36]<\pi <3{\frac {1335}{9347}}=[3;7,667,2]<3{\frac {1}{7}}\!\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>3</mn> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>10</mn> <mn>71</mn> </mfrac> </mrow> <mo>=</mo> <mo stretchy="false">[</mo> <mn>3</mn> <mo>;</mo> <mn>7</mn> <mo>,</mo> <mn>10</mn> <mo stretchy="false">]</mo> <mo><</mo> <mn>3</mn> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1137</mn> <mn>8069</mn> </mfrac> </mrow> <mo>=</mo> <mo stretchy="false">[</mo> <mn>3</mn> <mo>;</mo> <mn>7</mn> <mo>,</mo> <mn>10</mn> <mo>,</mo> <mn>2</mn> <mo>,</mo> <mn>1</mn> <mo>,</mo> <mn>36</mn> <mo stretchy="false">]</mo> <mo><</mo> <mi>π<!-- π --></mi> <mo><</mo> <mn>3</mn> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1335</mn> <mn>9347</mn> </mfrac> </mrow> <mo>=</mo> <mo stretchy="false">[</mo> <mn>3</mn> <mo>;</mo> <mn>7</mn> <mo>,</mo> <mn>667</mn> <mo>,</mo> <mn>2</mn> <mo stretchy="false">]</mo> <mo><</mo> <mn>3</mn> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>7</mn> </mfrac> </mrow> <mspace width="negativethinmathspace" /> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 3{\frac {10}{71}}=[3;7,10]<3{\frac {1137}{8069}}=[3;7,10,2,1,36]<\pi <3{\frac {1335}{9347}}=[3;7,667,2]<3{\frac {1}{7}}\!\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8ff1c6a24647eee98a1e24fdc9355532b54ca750" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:78.947ex; height:5.343ex;" alt="{\displaystyle 3{\frac {10}{71}}=[3;7,10]<3{\frac {1137}{8069}}=[3;7,10,2,1,36]<\pi <3{\frac {1335}{9347}}=[3;7,667,2]<3{\frac {1}{7}}\!\,}"></span></dd></dl> <p>ali približno: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 3,1408450<3,1409100<\pi <3,1428266<3,1428571\!\,,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>3</mn> <mo>,</mo> <mn>1408450</mn> <mo><</mo> <mn>3</mn> <mo>,</mo> <mn>1409100</mn> <mo><</mo> <mi>π<!-- π --></mi> <mo><</mo> <mn>3</mn> <mo>,</mo> <mn>1428266</mn> <mo><</mo> <mn>3</mn> <mo>,</mo> <mn>1428571</mn> <mspace width="negativethinmathspace" /> <mspace width="thinmathspace" /> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 3,1408450<3,1409100<\pi <3,1428266<3,1428571\!\,,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/63e1ca66ffa064746fd055c43cbe2a05505cd551" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:55.707ex; height:2.509ex;" alt="{\displaystyle 3,1408450<3,1409100<\pi <3,1428266<3,1428571\!\,,}"></span></dd></dl> <p>oziroma srednja vrednost spodnje in zgornje meje <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \pi =3,14185110664\!\,.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>π<!-- π --></mi> <mo>=</mo> <mn>3</mn> <mo>,</mo> <mn>14185110664</mn> <mspace width="negativethinmathspace" /> <mspace width="thinmathspace" /> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \pi =3,14185110664\!\,.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e3945702d7d38529f12d07be8f6fdf659bca2709" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:20.061ex; height:2.509ex;" alt="{\displaystyle \pi =3,14185110664\!\,.}"></span> Arhimedova izračunana vrednost je skladna z njegovo dejansko vrednostjo približno 3,1416.<sup id="cite_ref-49" class="reference"><a href="#cite_note-49"><span class="cite-bracket">[</span>49<span class="cite-bracket">]</span></a></sup> </p><p>Pred njim so tudi drugi starogrški matematiki poskušali uporabljati ploščino včrtanih mnogokotnikov za izračun približkov <i>π</i>, vendar je Arhimed prvi uporabil obseg kroga.<sup id="cite_ref-50" class="reference"><a href="#cite_note-50"><span class="cite-bracket">[</span>50<span class="cite-bracket">]</span></a></sup> Dokazal je tudi, da je ploščina kroga enaka zmnožku <i>π</i> in kvadrata polmera (<i>π</i>r<sup>2</sup>). </p><p>Če se <a href="/wiki/Razmerje" title="Razmerje">razmerje</a> med obsegom kroga <i>o</i> = 2<i>π</i> <i>r</i> in njegovim premerom 2<i>r</i> označi s <i>π</i><sub>o</sub> in razmerje med ploščino kroga <i>p</i> = <i>π</i> <i>r</i><sup>2</sup> in ploščino njemu očrtanega kvadrata (2<i>r</i>)<sup>2</sup> s <i>π</i><sub>p</sub>, se vidi, da razmerje <i>π</i><sub>o</sub>/<i>π</i><sub>p</sub> ni odvisno od velikosti kroga. To so vedeli že <a href="/w/index.php?title=Sumerci&action=edit&redlink=1" class="new" title="Sumerci (stran ne obstaja)">Sumerci</a> in <a href="/wiki/Stari_Egip%C4%8Dani" class="mw-redirect" title="Stari Egipčani">Egipčani</a>, niso pa vedeli, da sta števili <i>π</i><sub>o</sub> in <i>π</i><sub>p</sub> v ozki medsebojni zvezi. Tega nista vedela niti <a href="/wiki/Pitagora" title="Pitagora">Pitagora</a> niti <a href="/wiki/Evklid" title="Evklid">Evklid</a> in vsa grška matematična šola pred Arhimedom. Da razmerje <i>π</i><sub>o</sub> = 4<i>π</i><sub>p</sub> ni odvisno od premera kroga, so grški matematiki odkrili malo pred Arhimedom na začetku 4. stoletja pr. n. št. Arhimed je dokazal tudi, da v enačbah za izračun obsega in ploščine kroga nastopa ista <a href="/wiki/Matemati%C4%8Dna_konstanta" title="Matematična konstanta">konstanta</a>, kar ni bilo samo po sebi razumljivo. Pred njim so uporabljali različni vrednosti <i>π</i>.<sup id="cite_ref-richeson_2013_51-0" class="reference"><a href="#cite_note-richeson_2013-51"><span class="cite-bracket">[</span>51<span class="cite-bracket">]</span></a></sup> Konstanta obsega je enaka konstanti ploščine <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle o/2r=p/r^{2}\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>o</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <mn>2</mn> <mi>r</mi> <mo>=</mo> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <msup> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle o/2r=p/r^{2}\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7026343e49c4a8a348a0b0587307bcbb673ed563" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:12.422ex; height:3.176ex;" alt="{\displaystyle o/2r=p/r^{2}\,}"></span>. Evklid je v svojih <i><a href="/wiki/Elementi_(Evklid)" title="Elementi (Evklid)">Elementih</a></i> dokazal konstanto ploščine za kroge (<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle p/r^{2}\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <msup> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle p/r^{2}\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d88c8737550b1e8856fc7421b2cce1f0fa02050d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; margin-left: -0.089ex; width:4.911ex; height:3.176ex;" alt="{\displaystyle p/r^{2}\,}"></span>, 12. knjiga, trditev 2). Ni pa nikjer omenjal razmerja <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle o/2r\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>o</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <mn>2</mn> <mi>r</mi> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle o/2r\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0c11e8b6d04e1e429c8aab037c931df74da5a61e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:4.888ex; height:2.843ex;" alt="{\displaystyle o/2r\,}"></span> ali karkoli podobnega. Arhimed je v <i>Merjenju kroga</i> dokazal, da velja (trditev 1): </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle p={\frac {or}{2}}\!\,,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>p</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>o</mi> <mi>r</mi> </mrow> <mn>2</mn> </mfrac> </mrow> <mspace width="negativethinmathspace" /> <mspace width="thinmathspace" /> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle p={\frac {or}{2}}\!\,,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f9a5e8eab649901cdb3dbebcba44a5ddf12a44f2" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; margin-left: -0.089ex; width:8.017ex; height:4.676ex;" alt="{\displaystyle p={\frac {or}{2}}\!\,,}"></span></dd></dl> <p>nikjer pa sicer ni eksplicitno navedel, da je razmerje <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle o/2r\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>o</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <mn>2</mn> <mi>r</mi> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle o/2r\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0c11e8b6d04e1e429c8aab037c931df74da5a61e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:4.888ex; height:2.843ex;" alt="{\displaystyle o/2r\,}"></span> konstanta. Vendar to dejstvo posredno izhaja iz njegovega dela in poleg prvi trditvi iz <i>Merjenja kroga</i> je treba Evklidovim izrekom dodati dva njegova aksioma iz dela <i>O krogli in valju</i>: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\frac {o}{2r}}=\left({\frac {2p}{r}}\right){\frac {1}{2r}}={\frac {p}{r^{2}}}=\pi \!\,.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>o</mi> <mrow> <mn>2</mn> <mi>r</mi> </mrow> </mfrac> </mrow> <mo>=</mo> <mrow> <mo>(</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mn>2</mn> <mi>p</mi> </mrow> <mi>r</mi> </mfrac> </mrow> <mo>)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mrow> <mn>2</mn> <mi>r</mi> </mrow> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>p</mi> <msup> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mfrac> </mrow> <mo>=</mo> <mi>π<!-- π --></mi> <mspace width="negativethinmathspace" /> <mspace width="thinmathspace" /> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {o}{2r}}=\left({\frac {2p}{r}}\right){\frac {1}{2r}}={\frac {p}{r^{2}}}=\pi \!\,.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/980ee72c2305a8164f713cb9b754aba25686ea67" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:27.284ex; height:6.176ex;" alt="{\displaystyle {\frac {o}{2r}}=\left({\frac {2p}{r}}\right){\frac {1}{2r}}={\frac {p}{r^{2}}}=\pi \!\,.}"></span></dd></dl> <div class="mw-heading mw-heading3"><h3 id="Kvadratni_koren_števila_3"><span id="Kvadratni_koren_.C5.A1tevila_3"></span>Kvadratni koren števila 3</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Arhimed&veaction=edit&section=10" title="Uredi razdelek: Kvadratni koren števila 3" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Arhimed&action=edit&section=10" title="Urejanje izvorne kode razdelka: Kvadratni koren števila 3"><span>uredi kodo</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>V <i>Merjenju kroga</i> je izračunal tudi vrednost <a href="/wiki/Kvadratni_koren_%C5%A1tevila_3" title="Kvadratni koren števila 3">kvadratnega korena števila 3</a>:<sup id="cite_ref-knorr_1976_52-0" class="reference"><a href="#cite_note-knorr_1976-52"><span class="cite-bracket">[</span>52<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-brown_2015_53-0" class="reference"><a href="#cite_note-brown_2015-53"><span class="cite-bracket">[</span>53<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-whitford_1912_54-0" class="reference"><a href="#cite_note-whitford_1912-54"><span class="cite-bracket">[</span>54<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-55" class="reference"><a href="#cite_note-55"><span class="cite-bracket">[</span>55<span class="cite-bracket">]</span></a></sup> </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\frac {265}{153}}<{\sqrt {3}}<{\frac {1351}{780}}\!\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>265</mn> <mn>153</mn> </mfrac> </mrow> <mo><</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>3</mn> </msqrt> </mrow> <mo><</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1351</mn> <mn>780</mn> </mfrac> </mrow> <mspace width="negativethinmathspace" /> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {265}{153}}<{\sqrt {3}}<{\frac {1351}{780}}\!\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c8e98178ce55efeb7a938c156b0cab715c906267" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:19.105ex; height:5.343ex;" alt="{\displaystyle {\frac {265}{153}}<{\sqrt {3}}<{\frac {1351}{780}}\!\,}"></span></dd></dl> <p>ali približno: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 1,7320261<{\sqrt {3}}<1,7320512\!\,.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>1</mn> <mo>,</mo> <mn>7320261</mn> <mo><</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>3</mn> </msqrt> </mrow> <mo><</mo> <mn>1</mn> <mo>,</mo> <mn>7320512</mn> <mspace width="negativethinmathspace" /> <mspace width="thinmathspace" /> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 1,7320261<{\sqrt {3}}<1,7320512\!\,.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/cc8445364106e9c62902f43e58b756fa97184a9e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:30.609ex; height:2.843ex;" alt="{\displaystyle 1,7320261<{\sqrt {3}}<1,7320512\!\,.}"></span></dd></dl> <p>Ahimedova spodnja in zgornja meja sta točni na <style data-mw-deduplicate="TemplateStyles:r6323312">.mw-parser-output .sfrac{white-space:nowrap}.mw-parser-output .sfrac.tion,.mw-parser-output .sfrac .tion{display:inline-block;vertical-align:-0.5em;font-size:85%;text-align:center}.mw-parser-output .sfrac .num{display:block;line-height:1em;margin:0.0em 0.1em;border-bottom:1px solid}.mw-parser-output .sfrac .den{display:block;line-height:1em;margin:0.1em 0.1em}.mw-parser-output .sr-only{border:0;clip:rect(0,0,0,0);clip-path:polygon(0px 0px,0px 0px,0px 0px);height:1px;margin:-1px;overflow:hidden;padding:0;position:absolute;width:1px}</style><span class="sfrac">⁠<span class="tion"><span class="num">2</span><span class="sr-only">/</span><span class="den">23409</span></span>⁠</span> (4 desetiška mesta) in <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r6323312"><span class="sfrac">⁠<span class="tion"><span class="num">1</span><span class="sr-only">/</span><span class="den">608400</span></span>⁠</span> (6 desetiških mest). Pri tem ni navedel točnega postopka,<sup id="cite_ref-EB_56-0" class="reference"><a href="#cite_note-EB-56"><span class="cite-bracket">[</span>56<span class="cite-bracket">]</span></a></sup> verjetno pa je uporabil iteracijo,<sup id="cite_ref-57" class="reference"><a href="#cite_note-57"><span class="cite-bracket">[</span>57<span class="cite-bracket">]</span></a></sup> neko vrsto intepolacijske metode ali kombinacijo več metod.<sup id="cite_ref-davies_2011_58-0" class="reference"><a href="#cite_note-davies_2011-58"><span class="cite-bracket">[</span>58<span class="cite-bracket">]</span></a></sup> Dejanska vrednost je približno 1,7320508. Na ta način je sicer najboljša spodnja meja enaka: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\frac {989}{571}}<{\sqrt {3}}\!\,,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>989</mn> <mn>571</mn> </mfrac> </mrow> <mo><</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>3</mn> </msqrt> </mrow> <mspace width="negativethinmathspace" /> <mspace width="thinmathspace" /> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {989}{571}}<{\sqrt {3}}\!\,,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f9a5f29ca6d36fce26c434f5ec42ca1083458d63" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:11.167ex; height:5.343ex;" alt="{\displaystyle {\frac {989}{571}}<{\sqrt {3}}\!\,,}"></span></dd></dl> <p>ni pa jasno zakaj je Arhimed ni navedel. Mogoče je potreboval boljšo zgornjo mejo in je računal naprej, spodnje meje pa ni navajal. Čeprav svojih metod ni pojasnil, se lahko približka dobita na enak način kot rešitev <a href="/wiki/Pellova_ena%C4%8Dba" title="Pellova enačba">Pellove enačbe</a> za <i>n</i> = 3: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle x^{2}-3y^{2}=1\!\,.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>−<!-- − --></mo> <mn>3</mn> <msup> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>=</mo> <mn>1</mn> <mspace width="negativethinmathspace" /> <mspace width="thinmathspace" /> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x^{2}-3y^{2}=1\!\,.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5c1955fdc7be2ab9c1a2d1360a227c89e154afe5" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:13.509ex; height:3.009ex;" alt="{\displaystyle x^{2}-3y^{2}=1\!\,.}"></span><sup id="cite_ref-knorr_1976_52-1" class="reference"><a href="#cite_note-knorr_1976-52"><span class="cite-bracket">[</span>52<span class="cite-bracket">]</span></a></sup></dd></dl> <div class="mw-heading mw-heading3"><h3 id="Krogla_in_valj"><i>Krogla in valj</i></h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Arhimed&veaction=edit&section=11" title="Uredi razdelek: Krogla in valj" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Arhimed&action=edit&section=11" title="Urejanje izvorne kode razdelka: Krogla in valj"><span>uredi kodo</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/Slika:Esfera_Arqu%C3%ADmedes.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/f/fa/Esfera_Arqu%C3%ADmedes.svg/200px-Esfera_Arqu%C3%ADmedes.svg.png" decoding="async" width="200" height="209" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/fa/Esfera_Arqu%C3%ADmedes.svg/300px-Esfera_Arqu%C3%ADmedes.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/fa/Esfera_Arqu%C3%ADmedes.svg/400px-Esfera_Arqu%C3%ADmedes.svg.png 2x" data-file-width="1019" data-file-height="1067" /></a><figcaption>Krogla ima 2/3 prostornine očrtanega valja, vključno z njegovima osnovnima ploskvama. Obe geometrijski telesi so na njegovo željo postavili na njegov grob.</figcaption></figure> <p>V razpravi <i><a href="/wiki/O_krogli_in_valju" title="O krogli in valju">O krogli in valju</a></i>, naslovljeni na Dositeja, je Arhimed dobil rezultate, na katere je bil najbolj ponosen: izračunal je razmerje med kroglo in njej očrtanim valjem enako višino in premerom. Prostornini krogle in valja merita: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {V_{\rm {k}}}={\frac {4}{3}}\pi \ r^{3}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>V</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">k</mi> </mrow> </mrow> </msub> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>4</mn> <mn>3</mn> </mfrac> </mrow> <mi>π<!-- π --></mi> <mtext> </mtext> <msup> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {V_{\rm {k}}}={\frac {4}{3}}\pi \ r^{3}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9e2251a289842e908fc684c6178bda62911fed04" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:11.568ex; height:5.176ex;" alt="{\displaystyle {V_{\rm {k}}}={\frac {4}{3}}\pi \ r^{3}}"></span></dd> <dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {V_{\rm {v}}}=2\pi \ r^{3},}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>V</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">v</mi> </mrow> </mrow> </msub> </mrow> <mo>=</mo> <mn>2</mn> <mi>π<!-- π --></mi> <mtext> </mtext> <msup> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msup> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {V_{\rm {v}}}=2\pi \ r^{3},}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/58c517631d5579c73362c60fd598a151ac66f07b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:11.379ex; height:3.009ex;" alt="{\displaystyle {V_{\rm {v}}}=2\pi \ r^{3},}"></span></dd></dl> <p>njuni površini pa: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {P_{\rm {k}}}=4\pi \ r^{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>P</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">k</mi> </mrow> </mrow> </msub> </mrow> <mo>=</mo> <mn>4</mn> <mi>π<!-- π --></mi> <mtext> </mtext> <msup> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {P_{\rm {k}}}=4\pi \ r^{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/99a8f90c4116ed51162c3984191647a9b91aea26" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:10.869ex; height:3.009ex;" alt="{\displaystyle {P_{\rm {k}}}=4\pi \ r^{2}}"></span></dd> <dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {P_{\rm {v}}}=6\pi \ r^{2},}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>P</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">v</mi> </mrow> </mrow> </msub> </mrow> <mo>=</mo> <mn>6</mn> <mi>π<!-- π --></mi> <mtext> </mtext> <msup> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {P_{\rm {v}}}=6\pi \ r^{2},}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/93ab20029542c9faeaf410312dbf08b14ccfa190" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:11.516ex; height:3.009ex;" alt="{\displaystyle {P_{\rm {v}}}=6\pi \ r^{2},}"></span></dd></dl> <p>kjer je: </p> <ul><li><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle r\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>r</mi> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle r\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f08ce4d4c86c5b43f36c8435fb598da6471047c6" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.436ex; height:1.676ex;" alt="{\displaystyle r\,}"></span> – polmer valja in krogle in polovica višine valja.</li></ul> <p>Prostornina in površina krogle sta torej enaka dvem tretjinam prostornine in površine očrtanega valja. Prostornina valja je trikratnik prostornine temu valju vrčtanega stožca. </p><p>V isti razpravi je domneval, da vsaka veličina, ki je dovolj krat dodana sama sebi, preseže katero koli dano veličino (<a href="/wiki/Arhimedov_aksiom" title="Arhimedov aksiom">Arhimedov aksiom</a> realnih števil).<sup id="cite_ref-59" class="reference"><a href="#cite_note-59"><span class="cite-bracket">[</span>59<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Kvadratura_parabole"><i>Kvadratura parabole</i></h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Arhimed&veaction=edit&section=12" title="Uredi razdelek: Kvadratura parabole" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Arhimed&action=edit&section=12" title="Urejanje izvorne kode razdelka: Kvadratura parabole"><span>uredi kodo</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/Slika:Parabolic_segment_and_inscribed_triangle.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/3/36/Parabolic_segment_and_inscribed_triangle.svg/200px-Parabolic_segment_and_inscribed_triangle.svg.png" decoding="async" width="200" height="329" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/36/Parabolic_segment_and_inscribed_triangle.svg/300px-Parabolic_segment_and_inscribed_triangle.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/36/Parabolic_segment_and_inscribed_triangle.svg/400px-Parabolic_segment_and_inscribed_triangle.svg.png 2x" data-file-width="243" data-file-height="400" /></a><figcaption>Odsek parabole z ustreznim včrtanim trikotnikom</figcaption></figure> <p>Izračunal je najstarejši znani primer <a href="/wiki/Geometri%C4%8Dna_vrsta" title="Geometrična vrsta">geometrične</a> <a href="/wiki/Vrsta_(matematika)" title="Vrsta (matematika)">vrste</a> s <a href="/w/index.php?title=Koli%C4%8Dnik&action=edit&redlink=1" class="new" title="Količnik (stran ne obstaja)">količnikom</a> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle k=1/4\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>k</mi> <mo>=</mo> <mn>1</mn> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <mn>4</mn> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle k=1/4\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/faa78962b8a203a1d114e235af53ee85e07e7de7" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:8.184ex; height:2.843ex;" alt="{\displaystyle k=1/4\,}"></span>: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \sum _{k=0}^{\infty }{\frac {1}{4^{k}}}=1+{\frac {1}{4}}+{\frac {1}{4^{2}}}+{\frac {1}{4^{3}}}+\cdots \!\,,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <munderover> <mo>∑<!-- ∑ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mi>k</mi> <mo>=</mo> <mn>0</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">∞<!-- ∞ --></mi> </mrow> </munderover> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <msup> <mn>4</mn> <mrow class="MJX-TeXAtom-ORD"> <mi>k</mi> </mrow> </msup> </mfrac> </mrow> <mo>=</mo> <mn>1</mn> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>4</mn> </mfrac> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <msup> <mn>4</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mfrac> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <msup> <mn>4</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msup> </mfrac> </mrow> <mo>+</mo> <mo>⋯<!-- ⋯ --></mo> <mspace width="negativethinmathspace" /> <mspace width="thinmathspace" /> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \sum _{k=0}^{\infty }{\frac {1}{4^{k}}}=1+{\frac {1}{4}}+{\frac {1}{4^{2}}}+{\frac {1}{4^{3}}}+\cdots \!\,,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c87140c4ce423977d91ff5774600e9af6a495c1a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.171ex; width:34.313ex; height:7.009ex;" alt="{\displaystyle \sum _{k=0}^{\infty }{\frac {1}{4^{k}}}=1+{\frac {1}{4}}+{\frac {1}{4^{2}}}+{\frac {1}{4^{3}}}+\cdots \!\,,}"></span></dd></dl> <p>V <i><a href="/wiki/Kvadratura_parabole" title="Kvadratura parabole">Kvadraturi parabole</a></i> je dokazal, da je ploščina lika med <a href="/wiki/Parabola" title="Parabola">parabolo</a> in sekanto <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r6323312"><span class="sfrac">⁠<span class="tion"><span class="num">4</span><span class="sr-only">/</span><span class="den">3</span></span>⁠</span> krat večja od ploščine včrtanega trikotnika, ki ustreza pogojem na desnem grafu. Če je prvi člen vrste površina trikotnika, je drugi člen vsota površin dveh trikotnikov, katerih osnovnici sta manjši sekanti. Rešitev problema je izrazil z vsoto zgornje neskončne geometrične vrste: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle s=\sum _{m=0}^{\infty }ak^{m}={\frac {a}{1-k}}={\frac {1}{1-{\frac {1}{4}}}}=1+{\frac {1}{3}}={\frac {4}{3}}\!\,.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>s</mi> <mo>=</mo> <munderover> <mo>∑<!-- ∑ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mi>m</mi> <mo>=</mo> <mn>0</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">∞<!-- ∞ --></mi> </mrow> </munderover> <mi>a</mi> <msup> <mi>k</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>m</mi> </mrow> </msup> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>a</mi> <mrow> <mn>1</mn> <mo>−<!-- − --></mo> <mi>k</mi> </mrow> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mrow> <mn>1</mn> <mo>−<!-- − --></mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>4</mn> </mfrac> </mrow> </mrow> </mfrac> </mrow> <mo>=</mo> <mn>1</mn> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>3</mn> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>4</mn> <mn>3</mn> </mfrac> </mrow> <mspace width="negativethinmathspace" /> <mspace width="thinmathspace" /> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle s=\sum _{m=0}^{\infty }ak^{m}={\frac {a}{1-k}}={\frac {1}{1-{\frac {1}{4}}}}=1+{\frac {1}{3}}={\frac {4}{3}}\!\,.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f7d462dd21daecd6728d3aadad6999afe22ed820" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.338ex; width:45.823ex; height:7.176ex;" alt="{\displaystyle s=\sum _{m=0}^{\infty }ak^{m}={\frac {a}{1-k}}={\frac {1}{1-{\frac {1}{4}}}}=1+{\frac {1}{3}}={\frac {4}{3}}\!\,.}"></span></dd></dl> <p>Vsoto te vrste je izračunal z neposrednim računom, ki ga je zamislil prav za to vrsto. Ta dokaz uporablja različico vrste: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \sum _{k=1}^{\infty }{\frac {1}{4^{k}}}={\frac {1}{4}}+{\frac {1}{4^{2}}}+{\frac {1}{4^{3}}}+{\frac {1}{4^{4}}}+\cdots \!\,,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <munderover> <mo>∑<!-- ∑ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mi>k</mi> <mo>=</mo> <mn>1</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">∞<!-- ∞ --></mi> </mrow> </munderover> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <msup> <mn>4</mn> <mrow class="MJX-TeXAtom-ORD"> <mi>k</mi> </mrow> </msup> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>4</mn> </mfrac> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <msup> <mn>4</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mfrac> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <msup> <mn>4</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msup> </mfrac> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <msup> <mn>4</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>4</mn> </mrow> </msup> </mfrac> </mrow> <mo>+</mo> <mo>⋯<!-- ⋯ --></mo> <mspace width="negativethinmathspace" /> <mspace width="thinmathspace" /> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \sum _{k=1}^{\infty }{\frac {1}{4^{k}}}={\frac {1}{4}}+{\frac {1}{4^{2}}}+{\frac {1}{4^{3}}}+{\frac {1}{4^{4}}}+\cdots \!\,,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/dffa8bea5fea09fcb8b27eb15e2401f7ecbde6f6" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.005ex; width:36.204ex; height:6.843ex;" alt="{\displaystyle \sum _{k=1}^{\infty }{\frac {1}{4^{k}}}={\frac {1}{4}}+{\frac {1}{4^{2}}}+{\frac {1}{4^{3}}}+{\frac {1}{4^{4}}}+\cdots \!\,,}"></span></dd></dl> <p>katere vsota je enaka ⅓. </p><p>Pri njem se najde primerjave v preprosti obliki, da so členi <a href="/wiki/Aritmeti%C4%8Dno_zaporedje" title="Aritmetično zaporedje">aritmetičnega</a> <a href="/wiki/Zaporedje" title="Zaporedje">zaporedja</a> <a href="/wiki/Logaritem" title="Logaritem">logaritmi</a> členov <a href="/wiki/Geometri%C4%8Dno_zaporedje" class="mw-redirect" title="Geometrično zaporedje">geometričnega zaporedja</a>. </p> <div class="mw-heading mw-heading3"><h3 id="Izračun_peščenih_zrn"><span id="Izra.C4.8Dun_pe.C5.A1.C4.8Denih_zrn"></span><i>Izračun peščenih zrn</i></h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Arhimed&veaction=edit&section=13" title="Uredi razdelek: Izračun peščenih zrn" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Arhimed&action=edit&section=13" title="Urejanje izvorne kode razdelka: Izračun peščenih zrn"><span>uredi kodo</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>V <i>Izračunu peščenih zrn</i> (<i>Psammites</i>) je izračunal največje število peščenih zrn, potrebnih za napolnitev <a href="/wiki/Vesolje" title="Vesolje">Vesolja</a>, pri čemer je predpostavil velikost Vesolja. K temu ga je spodbudila pripomba, da je število zrn preveliko, da bi se ga dalo izračunati, in hotel je dokazati, da je mogoče vse kar v resnici obstaja tudi <a href="/wiki/Meritev" title="Meritev">izmeriti</a>. Arhimed je k temu zapisal: </p> <dl><dd><i>»Kralj Gelo (Gelo II., sin Hieorna II.) trdi, da je število zrn neskončno, jaz pa trdim, da pesek ni samo v Sirakuzah in drugod po Siciliji, ampak tudi v vseh drugih naseljenih in nenaseljenih pokrajinah.«</i></dd></dl> <p>Za reševanje problema in za izražanje <a href="/wiki/Veliko_%C5%A1tevilo" title="Veliko število">velikih števil</a> je uporabljal poseben številski sistem, ki je temeljil na miriadi miriad (100 milijonov ali 10<sup>8</sup>). Izraz miriada izhaja iz grškega izraza <a href="/wiki/Stara_gr%C5%A1%C4%8Dina" class="mw-redirect" title="Stara grščina">starogrško</a> <span lang="grc">μυριάς</span>: myrias in pomeni število 10.000. Njegov sistem je bil že skoraj tak kot sodobna <a href="/wiki/Potenciranje" title="Potenciranje">potenčna</a> (eksponenta) oblika. Z Evklidovim pravilom o <a href="/wiki/Deljenje" title="Deljenje">deljenju</a> potenc je odkril pravilo za njihovo <a href="/wiki/Mno%C5%BEenje" title="Množenje">množenje</a>. </p><p>Ker se razdalje od <a href="/wiki/Zemlja" title="Zemlja">Zemlje</a> do <a href="/wiki/Zvezda" title="Zvezda">zvezd</a> s tedanjimi instrumenti ni dalo izmeriti, je Arhimed na osnovi <a href="/wiki/Aristarh" title="Aristarh">Aristarhovih</a> domnev predpostavil, da je Zemljin <a href="/wiki/Tir" title="Tir">tir</a> <a href="/wiki/Kro%C5%BEnica" title="Krožnica">krožnica</a>, da ima Vesolje obliko krogle in da je razmerje med premerom Vesolja in premerom Zemljinega tira enako razmerju med premerom Zemljinega tira in Zemljinim premerom. Povedano drugače to pomeni, da je <a href="/w/index.php?title=Zvezdna_paralaksa&action=edit&redlink=1" class="new" title="Zvezdna paralaksa (stran ne obstaja)">zvezdna</a> <a href="/wiki/Paralaksa" title="Paralaksa">paralaksa</a>, ki jo povzroči gibanje Zemlje okrog <a href="/wiki/Sonce" title="Sonce">Sonca</a>, enaka solarni paralaksi, ki jo povzroči gibanje okrog Zemlje. </p><p>Za izračun zgornje meje števila zrn je predpostavil tudi to, da obseg Zemlje ni večji od 10 miriad <a href="/wiki/Stadij" title="Stadij">stadijev</a> (5,5 <span style="margin:0 .15em 0 .25em">×</span>10<sup><span class="nowrap"><span data-sort-value="7000500000000000000♠"></span>5</span></sup> km), da <a href="/wiki/Luna" title="Luna">Luna</a> ni večja od Zemlje in Sonce ni več kot trideset krat večje od Lune, da je kotni premer Sonca, gledan z Zemlje, večji od 1/200 <a href="/wiki/Pravi_kot" class="mw-redirect" title="Pravi kot">pravega kota</a> (π/400 <a href="/wiki/Radian" title="Radian">radianov</a> = 0,45°) in izračunal, da premer Vesolja ne presega 10<sup>14</sup> stadijev, kar v sodobnih enotah znese približno 2 <a href="/wiki/Svetlobno_leto" title="Svetlobno leto">svetlobni leti</a>. Za njegovo napolnitev bi potrebovali največ 8 vigintilijonov ali 8<span style="margin:0 .15em 0 .25em">×</span>10<sup><span class="nowrap"><span data-sort-value="7001630000000000000♠"></span>63</span></sup> zrn peska.<sup id="cite_ref-60" class="reference"><a href="#cite_note-60"><span class="cite-bracket">[</span>60<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Spisi">Spisi</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Arhimed&veaction=edit&section=14" title="Uredi razdelek: Spisi" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Arhimed&action=edit&section=14" title="Urejanje izvorne kode razdelka: Spisi"><span>uredi kodo</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/Slika:Archimedous_Panta_Sozomena.tif" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/9/94/Archimedous_Panta_Sozomena.tif/lossy-page1-220px-Archimedous_Panta_Sozomena.tif.jpg" decoding="async" width="220" height="337" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/9/94/Archimedous_Panta_Sozomena.tif/lossy-page1-330px-Archimedous_Panta_Sozomena.tif.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/9/94/Archimedous_Panta_Sozomena.tif/lossy-page1-440px-Archimedous_Panta_Sozomena.tif.jpg 2x" data-file-width="4442" data-file-height="6814" /></a><figcaption><i>Archimēdous Panta sōzomena</i>, 1615</figcaption></figure> <p>Zdi se, da Arhimed ni bil posebno ponosen na svoje mehanske izume. Zanje je mislil, da ne predstavljajo pravega filozofskega dela, zato je objavljal samo svoje matematične razprave. Pisal je v <a href="/wiki/Dorci" title="Dorci">dorski</a> <a href="/wiki/Gr%C5%A1%C4%8Dina" title="Grščina">grščini</a>, narečju antičnih Sirakuz.<sup id="cite_ref-61" class="reference"><a href="#cite_note-61"><span class="cite-bracket">[</span>61<span class="cite-bracket">]</span></a></sup> Njegovi spisi se niso tako dobro ohranili kot Evklidovi, zato je sedem njegovih razprav znanih samo iz omemb drugih avtorjev. <a href="/wiki/Papos_Aleksandrijski" title="Papos Aleksandrijski">Papos Aleksandrijski</a> omenja razpravo <i>O izdelavi krogle</i> in druga dela s področja <a href="/wiki/Mnogokotnik" title="Mnogokotnik">mnogokotnikov</a>, medtem ko <a href="/wiki/Teon_II." title="Teon II.">Teon Aleksandrijski</a> citira odlomek o <a href="/wiki/Lom_svetlobe" title="Lom svetlobe">lomu svetlobe</a> iz izgubljene razprave <i>Catoptrica</i>. Arhimed je svoja odkritja objavljal v korespondenci z aleksandrijskimi matematiki. Njegova dela je prvi zbral <a href="/wiki/Bizantinsko_cesarstvo" title="Bizantinsko cesarstvo">bizantinski</a> grški arhitekt <a href="/wiki/Izidor_iz_Mileta" title="Izidor iz Mileta">Izidor iz Mileta</a> okoli leta 530. Komentarje njegovih del je v 6. stoletju napisal <a href="/wiki/Evtokij" title="Evtokij">Evtokij</a> iz Aškalona, s čimer je njihovo poznavanje razširil na večji krog ljudi. <a href="/wiki/Tabit_ibn_Kora" title="Tabit ibn Kora">Tabit ibn Kora</a> (836–901) je Arhimedova dela prevedel v <a href="/wiki/Arab%C5%A1%C4%8Dina" title="Arabščina">arabščino</a>, <a href="/w/index.php?title=Gerard_da_Cremona&action=edit&redlink=1" class="new" title="Gerard da Cremona (stran ne obstaja)">Gerard iz Cremone</a> (okoli 1114–1187) pa v <a href="/wiki/Latin%C5%A1%C4%8Dina" title="Latinščina">latinščino</a>. Med <a href="/wiki/Renesansa" title="Renesansa">renesanso</a> je Johann Herwagen leta 1544 v <a href="/wiki/Basel" title="Basel">Baslu</a> objavil <i>Editio Princeps</i> (<i>Prva izdaja</i>) Arhimedovih del v grškem in latinskem jeziku.<sup id="cite_ref-62" class="reference"><a href="#cite_note-62"><span class="cite-bracket">[</span>62<span class="cite-bracket">]</span></a></sup> Okoli leta 1586 je <a href="/wiki/Galileo_Galilei" title="Galileo Galilei">Galileo Galilei</a> iznašel hidrostatsko tehtnico za tehtanje kovin v zraku in vodi, za katero je domnevno dobil navdih v Arhimedovih delih.<sup id="cite_ref-63" class="reference"><a href="#cite_note-63"><span class="cite-bracket">[</span>63<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Ohranjena_dela">Ohranjena dela</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Arhimed&veaction=edit&section=15" title="Uredi razdelek: Ohranjena dela" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Arhimed&action=edit&section=15" title="Urejanje izvorne kode razdelka: Ohranjena dela"><span>uredi kodo</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><i><b><a href="/wiki/O_ravnovesju_ravnin" title="O ravnovesju ravnin">O ravnovesju ravnin</a> (<a href="/wiki/Stara_gr%C5%A1%C4%8Dina" class="mw-redirect" title="Stara grščina">starogrško</a> <span lang="grc">Περὶ ἐπιπέδων ἱσορροπιῶν</span>)</b></i></li></ul> <dl><dd>Knjiga ima dva dela. Prvi vsebuje petnajst trditev in sedem aksiomov, drugi pa deset trditev. Obravnava zakon <a href="/wiki/Vzvod" title="Vzvod">vzvoda</a>, ki pravi, da je vzvod v ravnovesju, kadar so razdalje od opore (ročice) obratno sorazmerne velikostim bremen. Svoja spoznanja iz statike je uporabil za izračun <a href="/wiki/Te%C5%BEi%C5%A1%C4%8De" title="Težišče">težišč</a> različnih <a href="/wiki/Geometrijski_lik" title="Geometrijski lik">geometrijskih likov</a>, vključno s <a href="/wiki/Trikotnik" title="Trikotnik">trikotnikom</a>, <a href="/wiki/Paralelogram" title="Paralelogram">paralelogrami</a> in <a href="/wiki/Parabola" title="Parabola">parabolami</a>.<sup id="cite_ref-heath_1897_15-1" class="reference"><a href="#cite_note-heath_1897-15"><span class="cite-bracket">[</span>15<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-64" class="reference"><a href="#cite_note-64"><span class="cite-bracket">[</span>64<span class="cite-bracket">]</span></a></sup></dd></dl> <ul><li><i><b><a href="/wiki/Merjenje_kroga" title="Merjenje kroga">Merjenje kroga</a> (<a href="/wiki/Stara_gr%C5%A1%C4%8Dina" class="mw-redirect" title="Stara grščina">starogrško</a> <span lang="grc">Κύκλου μέτρησις</span>)</b></i></li></ul> <dl><dd>je kratka razprava, ki obravnava tri Arhimedove trditve. Napisana je kot korespondenca z Dositejem iz Pelezija, učencem <a href="/wiki/Konon" title="Konon">Konona</a> s Samosa. V tretji trditvi pravi, da je vrednost <i>π</i> večja od <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 3{\tfrac {10}{71}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>3</mn> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="false" scriptlevel="0"> <mfrac> <mn>10</mn> <mn>71</mn> </mfrac> </mstyle> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 3{\tfrac {10}{71}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4bca06ac2ac81139e63f3dc99b19b00102b9c123" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.338ex; width:3.643ex; height:3.676ex;" alt="{\displaystyle 3{\tfrac {10}{71}}}"></span> in manjša od <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 3{\tfrac {1}{7}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>3</mn> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="false" scriptlevel="0"> <mfrac> <mn>1</mn> <mn>7</mn> </mfrac> </mstyle> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 3{\tfrac {1}{7}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6bb18ef0cb1911bc79d8a30b882b33aa2eda2d70" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.338ex; width:2.821ex; height:3.676ex;" alt="{\displaystyle 3{\tfrac {1}{7}}}"></span>.</dd></dl> <ul><li><i><b><a href="/wiki/O_spiralah" title="O spiralah">O spiralah</a> (<a href="/wiki/Stara_gr%C5%A1%C4%8Dina" class="mw-redirect" title="Stara grščina">starogrško</a> <span lang="grc">Περὶ ἑλίκων</span>)</b></i></li></ul> <figure class="mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/Slika:Archimedean_spiral_polar.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/8/88/Archimedean_spiral_polar.svg/200px-Archimedean_spiral_polar.svg.png" decoding="async" width="200" height="203" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/88/Archimedean_spiral_polar.svg/300px-Archimedean_spiral_polar.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/88/Archimedean_spiral_polar.svg/400px-Archimedean_spiral_polar.svg.png 2x" data-file-width="609" data-file-height="618" /></a><figcaption><a href="/wiki/Arhimedova_spirala" title="Arhimedova spirala">Arhimedova spirala</a>, prikazana v <a href="/wiki/Polarni_koordinatni_sistem" title="Polarni koordinatni sistem">polarnem koordinatnem sistemu</a></figcaption></figure> <dl><dd>Tudi to delo, ki vsebuje 28 trditev, je naslovljeno na Dositeja in obravnava aritmetično ali <a href="/wiki/Arhimedova_spirala" title="Arhimedova spirala">Arhimedovo spiralo</a>. Arhimedova spirala je <a href="/wiki/Geometrijsko_mesto_to%C4%8Dk" title="Geometrijsko mesto točk">geometrijsko mesto točk</a>, ki nastane takrat, ko se <a href="/wiki/To%C4%8Dka_(geometrija)" title="Točka (geometrija)">točka</a> giblje od dane negibne točke s konstantno hitrostjo vzdolž <a href="/wiki/Premica" title="Premica">premice</a>, ki se vrti s konstantno <a href="/wiki/Kotna_hitrost" title="Kotna hitrost">kotno hitrostjo</a>. V <a href="/wiki/Polarni_koordinatni_sistem" title="Polarni koordinatni sistem">polarnem koordinatnem sistemu</a> je definirana z enačbo</dd></dl> <dl><dd><dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle r=a+b\theta \!\,,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>r</mi> <mo>=</mo> <mi>a</mi> <mo>+</mo> <mi>b</mi> <mi>θ<!-- θ --></mi> <mspace width="negativethinmathspace" /> <mspace width="thinmathspace" /> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle r=a+b\theta \!\,,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7e958ac0db6dba2fd38e5f2e4fd4bc9fc61c3257" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:10.952ex; height:2.509ex;" alt="{\displaystyle r=a+b\theta \!\,,}"></span></dd></dl></dd></dl> <dl><dd>kjer je:</dd></dl> <dl><dd><ul><li><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1d73aa5354c24942dab5316be466465a9d171510" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.617ex; height:1.676ex;" alt="{\displaystyle a\,}"></span> – <a href="/w/index.php?title=Parameter_(konstanta)&action=edit&redlink=1" class="new" title="Parameter (konstanta) (stran ne obstaja)">parameter</a>, ki obrača spiralo,</li> <li><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle b\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>b</mi> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle b\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4b1bcf19f4ec75b1d2cc0be001e58a314fb0a940" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.385ex; height:2.176ex;" alt="{\displaystyle b\,}"></span> – parameter, ki določa razdaljo med zaporednimi obrati.</li></ul></dd></dl> <dl><dd>Arhimedova spirala je eden od prvih primerov mehanske krivulje (krivulje, ki sledi premikajoči se točki), ki so jo preučevali grški matematiki.</dd></dl> <ul><li><i><b><a href="/wiki/O_krogli_in_valju" title="O krogli in valju">O krogli in valju</a> (<a href="/wiki/Stara_gr%C5%A1%C4%8Dina" class="mw-redirect" title="Stara grščina">starogrško</a> <span lang="grc">Περὶ σφαίρας καὶ κυλίνδρου</span>) </b></i> (dve knjigi)</li></ul> <dl><dd>V tej razpravi, naslovljeni na Dositeja, je Arhimed opisal izračune prostornin in površin krogle in valja, na katere je bil najbolj ponosen. Kipa obeh geometrijskih teles so na njegovo zahtevo postavili na njegov grob.</dd></dl> <ul><li><i><b>O konoidih in sferoidih (<a href="/wiki/Stara_gr%C5%A1%C4%8Dina" class="mw-redirect" title="Stara grščina">starogrško</a> <span lang="grc">Περί κωνοειδέων και σφαιροειδέων</span>)</b></i></li></ul> <dl><dd>V tem delu, naslovljenem na Dositeja, je Arhimed izračunal površine in prostornine odsekov <a href="/wiki/Sto%C5%BEec" title="Stožec">stožca</a>, krogle in <a href="/wiki/Paraboloid" title="Paraboloid">paraboloidov</a>.</dd></dl> <ul><li><i><b><a href="/wiki/O_plavajo%C4%8Dih_telesih" title="O plavajočih telesih">O plavajočih telesih</a> (<a href="/wiki/Stara_gr%C5%A1%C4%8Dina" class="mw-redirect" title="Stara grščina">starogrško</a> <span lang="grc">Περί των επιπλεόντων σωμάτων</span>)</b></i> (dve knjigi)</li></ul> <dl><dd>V prvem delu razprave govori o zakonu <a href="/wiki/Hidrostatika" title="Hidrostatika">ravnotežja tekočin</a> in dokaže, da bi voda okoli središča težnosti dobila obliko krogle. Razprava bi lahko bila poskus razlage teorije tedanjih <a href="/wiki/Astronom" title="Astronom">astronomov</a>, tudi <a href="/wiki/Eratosten" title="Eratosten">Eratostena</a>, da je <a href="/wiki/Zemlja" title="Zemlja">Zemlja</a> okrogla. Tekočine, ki jih je opisal Arhimed, niso samogravitirajoče, ker je Arhimed domneval, da obstaja točka, proti kateri padajo vsa telesa, da bi dobila okroglo obliko.</dd></dl> <dl><dd>V drugem delu je izračunal ravnotežne položaje odsekov paraboloidov, ki so bili verjetno idealizirana oblika ladijskih trupov. Del trupa je potopljen, del pa nad vodno gladino in plava podobno kot ledena gora. Arhimed je svoj zakon o vzgonu zapisal takole:</dd></dl> <dl><dd><dl><dd><i>Na vsako telo, ki je v celoti ali delno potopljeno v tekočino, deluje proti njegovi teži sila, ki je enaka teži izpodrinjene tekočine.</i></dd></dl></dd></dl> <dl><dd>Njeno prijemališče je težišče izpodrinjene tekočine.</dd></dl> <ul><li><i><b><a href="/wiki/Kvadratura_parabole" title="Kvadratura parabole">Kvadratura parabole</a> (<a href="/wiki/Stara_gr%C5%A1%C4%8Dina" class="mw-redirect" title="Stara grščina">starogrško</a> <span lang="grc">Τετραγωνισμὸς παραβολῆς</span>)</b></i></li></ul> <figure typeof="mw:File/Thumb"><a href="/wiki/Slika:Parabolic_Segment_Dissection.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/d/d7/Parabolic_Segment_Dissection.svg/200px-Parabolic_Segment_Dissection.svg.png" decoding="async" width="200" height="125" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/d7/Parabolic_Segment_Dissection.svg/300px-Parabolic_Segment_Dissection.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/d7/Parabolic_Segment_Dissection.svg/400px-Parabolic_Segment_Dissection.svg.png 2x" data-file-width="503" data-file-height="315" /></a><figcaption>Arhimed je za izračun ploščine odsek parabole razdelil na neskončno mnogo trikotnikov.</figcaption></figure> <dl><dd>V tem delu, naslovljenem na Dositeja, je 24 trditev. Arhimed je z dvema metodama dokazal, da je ploščina odseka parabole enaka 4/3 ploščine odseku včrtanega trikotnika, ki ustreza že omenjenim pogojem. Odsek je razdelil na neskončno mnogo trikotnikov in vsoto njihovih ploščin izračunal iz vsote neskončne geometrične vrste s kvocientom ¼:</dd></dl> <dl><dd><dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 1\,+\,{\frac {1}{4}}\,+\,{\frac {1}{16}}\,+\,{\frac {1}{64}}\,+\,\cdots \;=\;{\frac {4}{3}}.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>1</mn> <mspace width="thinmathspace" /> <mo>+</mo> <mspace width="thinmathspace" /> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>4</mn> </mfrac> </mrow> <mspace width="thinmathspace" /> <mo>+</mo> <mspace width="thinmathspace" /> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>16</mn> </mfrac> </mrow> <mspace width="thinmathspace" /> <mo>+</mo> <mspace width="thinmathspace" /> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>64</mn> </mfrac> </mrow> <mspace width="thinmathspace" /> <mo>+</mo> <mspace width="thinmathspace" /> <mo>⋯<!-- ⋯ --></mo> <mspace width="thickmathspace" /> <mo>=</mo> <mspace width="thickmathspace" /> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>4</mn> <mn>3</mn> </mfrac> </mrow> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 1\,+\,{\frac {1}{4}}\,+\,{\frac {1}{16}}\,+\,{\frac {1}{64}}\,+\,\cdots \;=\;{\frac {4}{3}}.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2f83f12e9602513e5e0e2025c5b7a485cb850f6c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:33.699ex; height:5.343ex;" alt="{\displaystyle 1\,+\,{\frac {1}{4}}\,+\,{\frac {1}{16}}\,+\,{\frac {1}{64}}\,+\,\cdots \;=\;{\frac {4}{3}}.}"></span></dd></dl></dd></dl> <ul><li><i><b><a href="/w/index.php?title=Ostomachion&action=edit&redlink=1" class="new" title="Ostomachion (stran ne obstaja)">Ostomachion</a> (<a href="/wiki/Stara_gr%C5%A1%C4%8Dina" class="mw-redirect" title="Stara grščina">starogrško</a> <span lang="grc">Οστομάχιον</span>)</b></i></li></ul> <figure typeof="mw:File/Thumb"><a href="/wiki/Slika:Stomachion.JPG" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/2/21/Stomachion.JPG/200px-Stomachion.JPG" decoding="async" width="200" height="195" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/2/21/Stomachion.JPG 1.5x" data-file-width="270" data-file-height="263" /></a><figcaption>Arhimedov ostomahion</figcaption></figure> <dl><dd>Ostomachion (ali stomachion) je sestavljanka, podobna <a href="/wiki/Tangram" title="Tangram">tangramu</a>, in razprava z njenim podrobnim opisom, objavljena v <i><a href="/wiki/Arhimedov_palimpsest" title="Arhimedov palimpsest">Arhimedovem palimpsestu</a></i>. Arhimed je izračunal ploščine 14 trikotnikov, ki jih je mogoče sestaviti v <a href="/wiki/Kvadrat_(geometrija)" title="Kvadrat (geometrija)">kvadrat</a>. Raziskave, ki jih je opravil Reviel Netz s Stanford University, objavljene leta 2003, kažejo, da je Arhimed poskušal ugotoviti, na koliko načinov je mogoče njene dele sestaviti v obliko kvadrata. Netz je izračunal, da je to mogoče izvesti na 17.152 načinov.<sup id="cite_ref-65" class="reference"><a href="#cite_note-65"><span class="cite-bracket">[</span>65<span class="cite-bracket">]</span></a></sup> Če se iz tega števila izključijo rešitve zaradi sukanja in <a href="/wiki/Zrcaljenje" title="Zrcaljenje">zrcaljenja</a>, ostane 536 rešitev.<sup id="cite_ref-66" class="reference"><a href="#cite_note-66"><span class="cite-bracket">[</span>66<span class="cite-bracket">]</span></a></sup> Sestavljanka je eden od prvih primerov reševanja problemov v <a href="/wiki/Kombinatorika" title="Kombinatorika">kombinatoriki</a>.</dd></dl> <dl><dd>Izvor njenega imena je nejasen. Domneva se, da izvira iz starogrške besede <i>stomachos</i> (<a href="/wiki/Stara_gr%C5%A1%C4%8Dina" class="mw-redirect" title="Stara grščina">starogrško</a> <span lang="grc">στόμαχος</span>), ki pomeni <a href="/wiki/Grlo" title="Grlo">grlo</a> ali <a href="/wiki/Po%C5%BEiralnik" title="Požiralnik">požiralnik</a>.<sup id="cite_ref-67" class="reference"><a href="#cite_note-67"><span class="cite-bracket">[</span>67<span class="cite-bracket">]</span></a></sup> <a href="/w/index.php?title=Avsonij&action=edit&redlink=1" class="new" title="Avsonij (stran ne obstaja)">Avsonij</a> trdi, da je beseda v obliki <i>ostomachion</i> sestavljena iz besed <i>osteon</i> (<a href="/wiki/Stara_gr%C5%A1%C4%8Dina" class="mw-redirect" title="Stara grščina">starogrško</a> <span lang="grc">ὀστέον</span> – <a href="/wiki/Kost" title="Kost">kost</a>) in machē (<a href="/wiki/Stara_gr%C5%A1%C4%8Dina" class="mw-redirect" title="Stara grščina">starogrško</a> <span lang="grc">μάχη</span> – spopad ali boj). Sestavljanka je znana tudi kot <i>loculus Archimedius</i> – <i>Arhimedova škatla</i>.<sup id="cite_ref-68" class="reference"><a href="#cite_note-68"><span class="cite-bracket">[</span>68<span class="cite-bracket">]</span></a></sup></dd></dl> <ul><li><i><b><a href="/w/index.php?title=Arhimedov_problem_goveda&action=edit&redlink=1" class="new" title="Arhimedov problem goveda (stran ne obstaja)">Arhimedov problem goveda</a></b></i></li></ul> <dl><dd>Problem se v nemških prevodih, ki sta jih objavila Georg Nesselmann (1842) in Krumbiegel (1880), glasi:</dd></dl> <dl><dd><dl><dd><i>Izračunaj, o, prijatelj, število govedi, ki se je nekoč na soncu pasla na ravnicah Sicilije, razdeljene po barvah v štiri črede, eno mlečno belo, eno črno, eno lisasto in eno rumeno. Število bikov je večje od števila krav, razmerja med njimi pa so naslednja:</i></dd></dl></dd></dl> <dl><dd><dl><dd><ul><li>beli biki <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle =\left({\frac {1}{2}}+{\frac {1}{3}}\right)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo>=</mo> <mrow> <mo>(</mo> <mrow> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>3</mn> </mfrac> </mrow> </mrow> <mo>)</mo> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle =\left({\frac {1}{2}}+{\frac {1}{3}}\right)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3965cc711ce164fdba5ce4862ab095765f12e0d9" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:12.712ex; height:6.176ex;" alt="{\displaystyle =\left({\frac {1}{2}}+{\frac {1}{3}}\right)}"></span> črnih bikov + rumenih bikov,</li></ul></dd></dl></dd></dl> <dl><dd><dl><dd><ul><li>črni biki <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle =\left({\frac {1}{4}}+{\frac {1}{5}}\right)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo>=</mo> <mrow> <mo>(</mo> <mrow> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>4</mn> </mfrac> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>5</mn> </mfrac> </mrow> </mrow> <mo>)</mo> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle =\left({\frac {1}{4}}+{\frac {1}{5}}\right)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/46eb5eddf4a0e4ad2e5ae92de61b05f16c8fdd5a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:12.712ex; height:6.176ex;" alt="{\displaystyle =\left({\frac {1}{4}}+{\frac {1}{5}}\right)}"></span> lisastih bikov + rumenih bikov,</li></ul></dd></dl></dd></dl> <dl><dd><dl><dd><ul><li>lisasti biki <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle =\left({\frac {1}{6}}+{\frac {1}{7}}\right)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo>=</mo> <mrow> <mo>(</mo> <mrow> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>6</mn> </mfrac> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>7</mn> </mfrac> </mrow> </mrow> <mo>)</mo> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle =\left({\frac {1}{6}}+{\frac {1}{7}}\right)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8335e043e2e0d88f1eab76b5bb4029e9aeeebda6" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:12.712ex; height:6.176ex;" alt="{\displaystyle =\left({\frac {1}{6}}+{\frac {1}{7}}\right)}"></span> belih bikov + rumenih bikov,</li></ul></dd></dl></dd></dl> <dl><dd><dl><dd><ul><li>bele krave <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle =\left({\frac {1}{3}}+{\frac {1}{4}}\right)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo>=</mo> <mrow> <mo>(</mo> <mrow> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>3</mn> </mfrac> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>4</mn> </mfrac> </mrow> </mrow> <mo>)</mo> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle =\left({\frac {1}{3}}+{\frac {1}{4}}\right)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d3bbb696872844d5da337a70d4407c1c1f502e86" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:12.712ex; height:6.176ex;" alt="{\displaystyle =\left({\frac {1}{3}}+{\frac {1}{4}}\right)}"></span> črne črede,</li></ul></dd></dl></dd></dl> <dl><dd><dl><dd><ul><li>črne krave <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle =\left({\frac {1}{4}}+{\frac {1}{5}}\right)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo>=</mo> <mrow> <mo>(</mo> <mrow> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>4</mn> </mfrac> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>5</mn> </mfrac> </mrow> </mrow> <mo>)</mo> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle =\left({\frac {1}{4}}+{\frac {1}{5}}\right)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/46eb5eddf4a0e4ad2e5ae92de61b05f16c8fdd5a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:12.712ex; height:6.176ex;" alt="{\displaystyle =\left({\frac {1}{4}}+{\frac {1}{5}}\right)}"></span> lisaste črede,</li></ul></dd></dl></dd></dl> <dl><dd><dl><dd><ul><li>lisaste krave <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle =\left({\frac {1}{5}}+{\frac {1}{6}}\right)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo>=</mo> <mrow> <mo>(</mo> <mrow> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>5</mn> </mfrac> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>6</mn> </mfrac> </mrow> </mrow> <mo>)</mo> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle =\left({\frac {1}{5}}+{\frac {1}{6}}\right)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/dc1c5c4314750dc144cbe4afd877a47382846b95" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:12.712ex; height:6.176ex;" alt="{\displaystyle =\left({\frac {1}{5}}+{\frac {1}{6}}\right)}"></span> rumene črede,</li></ul></dd></dl></dd></dl> <dl><dd><dl><dd><ul><li>rumene krave <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle =\left({\frac {1}{6}}+{\frac {1}{7}}\right)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo>=</mo> <mrow> <mo>(</mo> <mrow> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>6</mn> </mfrac> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>7</mn> </mfrac> </mrow> </mrow> <mo>)</mo> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle =\left({\frac {1}{6}}+{\frac {1}{7}}\right)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8335e043e2e0d88f1eab76b5bb4029e9aeeebda6" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:12.712ex; height:6.176ex;" alt="{\displaystyle =\left({\frac {1}{6}}+{\frac {1}{7}}\right)}"></span> bele črede.</li></ul></dd></dl></dd></dl> <dl><dd>Problem je leta 1773 odkril Gotthold Ephraim Lessing v knjižnici Herzoga Augusta v Nemčiji v grškem rokopisu, napisanem kot pesnitev v 44 verzih. Naslovljen je na <a href="/wiki/Eratosten" title="Eratosten">Eratostena</a> in aleksandrijske matematike. Arhimed jih je izzval, da število govedi izračunajo s sistemom sedmih <a href="/wiki/Diofantska_ena%C4%8Dba" title="Diofantska enačba">diofantskih enačb</a> z osmimi neznankami in zato neskončnim številom rešitev. Vprašanje spada med težje različice problema, ker morajo biti rešitve <a href="/wiki/Celo_%C5%A1tevilo" title="Celo število">cela števila</a>, nekatera celo <a href="/wiki/Kvadratno_%C5%A1tevilo" title="Kvadratno število">kvadratna</a>. Problem je prvi rešil A. Amthor<sup id="cite_ref-69" class="reference"><a href="#cite_note-69"><span class="cite-bracket">[</span>69<span class="cite-bracket">]</span></a></sup> leta 1880. Rezultat je zelo veliko število, približno 7,760271<span style="margin:0 .15em 0 .25em">×</span>10<sup><span class="nowrap"><span data-sort-value="7005206544000000000♠"></span>206<span style="margin-left:.25em;">544</span></span></sup>.<sup id="cite_ref-70" class="reference"><a href="#cite_note-70"><span class="cite-bracket">[</span>70<span class="cite-bracket">]</span></a></sup></dd></dl> <ul><li><i><b><a href="/w/index.php?title=Psammites&action=edit&redlink=1" class="new" title="Psammites (stran ne obstaja)">Število peščenih zrn</a> (<a href="/wiki/Stara_gr%C5%A1%C4%8Dina" class="mw-redirect" title="Stara grščina">starogrško</a> <span lang="grc">Ψαμμίτης</span>)</b></i></li></ul> <dl><dd>V tej razpravi je Arhimed izračunal število peščenih zrn, s katerimi bi napolnili <a href="/wiki/Vesolje" title="Vesolje">Vesolje</a>. V knjigi omenja <a href="/wiki/Heliocentri%C4%8Dni_model" title="Heliocentrični model">heliocentrično</a> teorijo <a href="/wiki/Oson%C4%8Dje" title="Osončje">Osončja</a>, ki jo je predlagal <a href="/wiki/Aristarh" title="Aristarh">Aristarh</a> s <a href="/wiki/Samos" title="Samos">Samosa</a>, in tedanje zamisli o velikosti Zemlje in razdaljah med različnimi nebesnimi telesi. Arhimed si je za izračun izmislil nov <a href="/wiki/%C5%A0tevilski_sistem" title="Številski sistem">številski sistem</a> z osnovo miriada miriad, se pravi 10<sup>8</sup>. Izračunal je, da je za to potrebno 8<span style="margin:0 .15em 0 .25em">×</span>10<sup><span class="nowrap"><span data-sort-value="7001630000000000000♠"></span>63</span></sup> zrn (sodobni zapis).</dd></dl> <dl><dd>V uvodu v razpravo je zapisal, da je bil njegov oče astronom Fidij. <i>Psammites</i> je edino ohranjeno Arhimedovo delo, v katerem piše o svojih pogledih na <a href="/wiki/Astronomija" title="Astronomija">astronomijo</a>.<sup id="cite_ref-71" class="reference"><a href="#cite_note-71"><span class="cite-bracket">[</span>71<span class="cite-bracket">]</span></a></sup></dd></dl> <ul><li><i><b><a href="/w/index.php?title=Metoda_mehanskih_izrekov&action=edit&redlink=1" class="new" title="Metoda mehanskih izrekov (stran ne obstaja)">Metoda mehanskih izrekov</a> (<a href="/wiki/Stara_gr%C5%A1%C4%8Dina" class="mw-redirect" title="Stara grščina">starogrško</a> <span lang="grc">Περὶ μηχανικῶν θεωρημάτων πρὸς Ἐρατοσθένη ἔφοδος</span>)</b></i></li></ul> <dl><dd>Razpravo se je dolgo prištevalo med Arhimedova izgubljena dela, dokler niso leta 1906 odkrili <i><a href="/wiki/Arhimedov_palimpsest" title="Arhimedov palimpsest">Arhimedovega palimpsesta</a></i>. Arhimed v tem delu uporablja <a href="/wiki/Infinitezimala" title="Infinitezimala">infinitezimale</a> in pokaže, kako se z drobljenjem lika na neskončno število neskončno majhnih delov lahko izračuna njegovo površino ali prostornino. Svojo razpravo je v obliki pisma naslovil na aleksandrijskega učenjaka <a href="/wiki/Eratosten" title="Eratosten">Eratostena</a>.</dd></dl> <div class="mw-heading mw-heading3"><h3 id="Izgubljena_dela">Izgubljena dela</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Arhimed&veaction=edit&section=16" title="Uredi razdelek: Izgubljena dela" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Arhimed&action=edit&section=16" title="Urejanje izvorne kode razdelka: Izgubljena dela"><span>uredi kodo</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Med izgubljena Arhimedova dela spadajo razprave o tehtnicah, <a href="/wiki/Te%C5%BEi%C5%A1%C4%8De" title="Težišče">težišču</a>, <a href="/wiki/Lom_svetlobe" title="Lom svetlobe">lomu svetlobe</a>, izdelavi krogel in dolžini <a href="/wiki/Leto" title="Leto">leta</a>. </p> <div class="mw-heading mw-heading3"><h3 id="Arhimedu_pripisana_dela">Arhimedu pripisana dela</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Arhimed&veaction=edit&section=17" title="Uredi razdelek: Arhimedu pripisana dela" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Arhimed&action=edit&section=17" title="Urejanje izvorne kode razdelka: Arhimedu pripisana dela"><span>uredi kodo</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><i><a href="/wiki/Knjiga_lem" title="Knjiga lem">Knjiga lem</a></i> (latinsko <i>Liber Assumptorum</i>) je razprava s petnajstimi <a href="/wiki/Izrek" title="Izrek">izreki</a> o značilnostih kroga. Najstarejša znana kopija je napisana v <a href="/wiki/Arab%C5%A1%C4%8Dina" title="Arabščina">arabščini</a>. Bagdadski učenjak <a href="/wiki/Tabit_ibn_Kora" title="Tabit ibn Kora">Tabit ibn Kora</a>, ki je živel v 9. stoletju, jo pripisuje Arhimedu, čeprav je njeno avtorstvo vprašljivo.<sup id="cite_ref-72" class="reference"><a href="#cite_note-72"><span class="cite-bracket">[</span>72<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-73" class="reference"><a href="#cite_note-73"><span class="cite-bracket">[</span>73<span class="cite-bracket">]</span></a></sup> </p><p>Arhimedu se pripisuje tudi <a href="/wiki/Heronova_formula" title="Heronova formula">Heronova formula</a> za izračun ploščine trikotnika iz dolžine njegovih stranic. Prva zanesljiva omemba formule je omemba <a href="/wiki/Heron" title="Heron">Herona Aleksandrijskega</a> v 1. stoletju n. št.<sup id="cite_ref-74" class="reference"><a href="#cite_note-74"><span class="cite-bracket">[</span>74<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Arhimedov_palimpsest"><i>Arhimedov palimpsest</i></h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Arhimed&veaction=edit&section=18" title="Uredi razdelek: Arhimedov palimpsest" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Arhimed&action=edit&section=18" title="Urejanje izvorne kode razdelka: Arhimedov palimpsest"><span>uredi kodo</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/Slika:ArPalimTypPage.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/1/1b/ArPalimTypPage.jpg/200px-ArPalimTypPage.jpg" decoding="async" width="200" height="309" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/1b/ArPalimTypPage.jpg/300px-ArPalimTypPage.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/1b/ArPalimTypPage.jpg/400px-ArPalimTypPage.jpg 2x" data-file-width="573" data-file-height="884" /></a><figcaption>Značilna stran <i><a href="/wiki/Arhimedov_palimpsest" title="Arhimedov palimpsest">Arhimedovega palimpsesta</a></i>. Versko besedilo se bere od gornjega desnega kota proti spodnjemu levemu kotu. Izvirno Arhimedovo besedilo je napisano pod njim in se bere od leve proti desni.</figcaption></figure> <p>Najpomembnejši dokument z njegovimi razpravami je <i><a href="/wiki/Arhimedov_palimpsest" title="Arhimedov palimpsest">Arhimedov palimpsest</a></i>, ki ga je leta 1906 v <a href="/wiki/Istanbul" class="mw-redirect" title="Istanbul">Istanbulu</a> odkril danski profesor Johan Ludvig Heiberg. Heiberg je ob pregledovanju 174 strani dolgega <a href="/wiki/Pergament" title="Pergament">pergamenta</a> z molitvami odkril, da je besedilo iz 13. stoletja napisano preko zbrisanega starejšega besedila. <a href="/wiki/Palimpsest" title="Palimpsest">Palimpsesti</a> so bili v <a href="/wiki/Srednji_vek" title="Srednji vek">srednjem veku</a> zaradi visokih cen pergamenta ustaljena praksa. Prvotni zapis na palimpsestu, napisan v 10. stoletju, so strokovnjaki prepoznali kot prepis do tedaj neznanih Arhimedovih razprav.<sup id="cite_ref-75" class="reference"><a href="#cite_note-75"><span class="cite-bracket">[</span>75<span class="cite-bracket">]</span></a></sup> </p><p><i>Palimpsest</i> vsebuje sedem razprav: <i>O ravnovesju ravnin</i>, <i>O spiralah</i>, <i>Merjenje kroga</i>, <i>O krogli in valju</i>, <i>O plavajočih telesih</i>, <i>Metoda mehanskih izrekov</i> in <i>Stomachion</i>. Shranjen je v Walters Art Museum v Baltimoru, Maryland, kjer je bil predmet številnih sodobnih analiz, vključno z <a href="/wiki/Ultravijoli%C4%8Dno_valovanje" title="Ultravijolično valovanje">ultravijolično</a> svetlobo in <a href="/wiki/Rentgenski_%C5%BEarki" title="Rentgenski žarki">rentgenskimi žarki</a>.<sup id="cite_ref-76" class="reference"><a href="#cite_note-76"><span class="cite-bracket">[</span>76<span class="cite-bracket">]</span></a></sup> </p><p>Prepis razprave <i>O plavajočih telesih</i> je njen edini ohranjeni prepis. <i>Palimpsest</i> je tudi edini znani vir <i>Metode mehanskih izrekov</i>, omenjene v <a href="/wiki/Bizantinsko_cesarstvo" title="Bizantinsko cesarstvo">bizantinski</a> <a href="/wiki/Enciklopedija" title="Enciklopedija">enciklopediji</a> <i><a href="/wiki/Suda" title="Suda">Suda</a></i> iz 10. stoletja, ki so jo imeli za izgubljeno. Stomachion vsebuje bolj popolno analizo zloženke od tistih v do tedaj znanih prepisih. </p> <div class="mw-heading mw-heading2"><h2 id="Zapuščina"><span id="Zapu.C5.A1.C4.8Dina"></span>Zapuščina</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Arhimed&veaction=edit&section=19" title="Uredi razdelek: Zapuščina" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Arhimed&action=edit&section=19" title="Urejanje izvorne kode razdelka: Zapuščina"><span>uredi kodo</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/Slika:Archimedes_crater_4115_h1.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/b/b7/Archimedes_crater_4115_h1.jpg/200px-Archimedes_crater_4115_h1.jpg" decoding="async" width="200" height="200" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/b7/Archimedes_crater_4115_h1.jpg/300px-Archimedes_crater_4115_h1.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/b7/Archimedes_crater_4115_h1.jpg/400px-Archimedes_crater_4115_h1.jpg 2x" data-file-width="936" data-file-height="936" /></a><figcaption><a href="/wiki/Luna" title="Luna">Lunin</a> <a href="/wiki/Udarni_krater" title="Udarni krater">udarni</a> <a href="/wiki/Lunini_kraterji" title="Lunini kraterji">krater</a> <a href="/w/index.php?title=Arhimed_(krater)&action=edit&redlink=1" class="new" title="Arhimed (krater) (stran ne obstaja)">Arhimed</a>, posnet s plovila <a href="/w/index.php?title=Lunar_Orbiter_4&action=edit&redlink=1" class="new" title="Lunar Orbiter 4 (stran ne obstaja)">Lunar Orbiter 4</a> leta 1967</figcaption></figure> <ul><li><a href="/wiki/Galileo_Galilei" title="Galileo Galilei">Galileo</a> je večkrat hvalil Arhimeda in ga imel za nadčloveka.<sup id="cite_ref-77" class="reference"><a href="#cite_note-77"><span class="cite-bracket">[</span>77<span class="cite-bracket">]</span></a></sup> <a href="/wiki/Leibnitz" class="mw-redirect" title="Leibnitz">Leibnitz</a> je zanj dejal: <i>»Tisti, ki razume Arhimeda in <a href="/wiki/Apolonij" title="Apolonij">Apolonija</a>, bo manj občudoval dosežke najodličnejših mož kasnejših časov«.<sup id="cite_ref-78" class="reference"><a href="#cite_note-78"><span class="cite-bracket">[</span>78<span class="cite-bracket">]</span></a></sup></i></li> <li>Po njem se imenujeta <a href="/wiki/Udarni_krater" title="Udarni krater">udarni</a> <a href="/wiki/Lunini_kraterji" title="Lunini kraterji">krater</a> <a href="/w/index.php?title=Arhimed_(krater)&action=edit&redlink=1" class="new" title="Arhimed (krater) (stran ne obstaja)">Arhimed</a> (29,7° S, 4,0°Z) in gorovje <a href="/w/index.php?title=Montes_Archimedes&action=edit&redlink=1" class="new" title="Montes Archimedes (stran ne obstaja)">Montes Archimedes</a> na <a href="/wiki/Luna" title="Luna">Luni</a> (25,3° S, 4,6° Z).<sup id="cite_ref-79" class="reference"><a href="#cite_note-79"><span class="cite-bracket">[</span>79<span class="cite-bracket">]</span></a></sup></li> <li>Po njem se imenuje tudi <a href="/wiki/Asteroid" title="Asteroid">asteroid</a> <a href="/wiki/Asteroidni_pas" title="Asteroidni pas">glavnega pasu</a> <a href="/w/index.php?title=3600_Arhimed&action=edit&redlink=1" class="new" title="3600 Arhimed (stran ne obstaja)">3600 Arhimed</a>.<sup id="cite_ref-80" class="reference"><a href="#cite_note-80"><span class="cite-bracket">[</span>80<span class="cite-bracket">]</span></a></sup></li> <li>Arhimed je upodobljen na <a href="/wiki/Fieldsova_medalja" title="Fieldsova medalja">Fieldsovi medalji</a>, ki se podeljuje za izjemne dosežke v matematiki. Podobo obkroža latinski napis, ki ga pripisujejo prav njemu: <i>»Transire suum pectus mundoque potiri«</i>.<sup id="cite_ref-81" class="reference"><a href="#cite_note-81"><span class="cite-bracket">[</span>81<span class="cite-bracket">]</span></a></sup> Na hrbtni stani medalje sta upodobljena krogla in valj.</li> <li>Arhimedova podoba je na <a href="/wiki/Po%C5%A1tna_znamka" title="Poštna znamka">poštnih znamkah</a> <a href="/wiki/Vzhodna_Nem%C4%8Dija" class="mw-redirect" title="Vzhodna Nemčija">Vzhodne Nemčije</a> (1973), <a href="/wiki/Gr%C4%8Dija" title="Grčija">Grčije</a> (1983), <a href="/wiki/Italija" title="Italija">Italija</a> (1983), <a href="/wiki/Nikaragva" title="Nikaragva">Nikaragve</a> (1971), <a href="/wiki/San_Marino" title="San Marino">San Marina</a> (1982) in <a href="/wiki/%C5%A0panija" title="Španija">Španije</a> (1963).<sup id="cite_ref-82" class="reference"><a href="#cite_note-82"><span class="cite-bracket">[</span>82<span class="cite-bracket">]</span></a></sup></li> <li><i>Eureka!</i> Vzklik, ki ga pripisujejo Arhimedu, je moto ameriške zvezne države <a href="/wiki/Kalifornija" title="Kalifornija">Kalifornije</a>. Nanaša se na odkritje zlata v Sutter's Millu leta 1848, ki je sprožilo kalifornijsko zlato mrzlico.<sup id="cite_ref-83" class="reference"><a href="#cite_note-83"><span class="cite-bracket">[</span>83<span class="cite-bracket">]</span></a></sup></li></ul> <div class="mw-heading mw-heading2"><h2 id="Glej_tudi">Glej tudi</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Arhimed&veaction=edit&section=20" title="Uredi razdelek: Glej tudi" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Arhimed&action=edit&section=20" title="Urejanje izvorne kode razdelka: Glej tudi"><span>uredi kodo</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Arhimedov_aksiom" title="Arhimedov aksiom">Arhimedov aksiom</a></li> <li><a href="/wiki/Arhimedov_dvoj%C4%8Dek" title="Arhimedov dvojček">Arhimedov dvojček</a></li> <li><i><a href="/wiki/Arhimedov_palimpsest" title="Arhimedov palimpsest">Arhimedov palimpsest</a></i></li> <li><a href="/w/index.php?title=Arhimedov_problem_goveda&action=edit&redlink=1" class="new" title="Arhimedov problem goveda (stran ne obstaja)">Arhimedov problem goveda</a></li> <li><a href="/wiki/Arhimedov_vijak" title="Arhimedov vijak">Arhimedov vijak</a></li> <li><a href="/wiki/Arhimedova_to%C4%8Dka" title="Arhimedova točka">Arhimedova točka</a></li> <li><a href="/w/index.php?title=Arhimedovo_%C5%A1tevilo&action=edit&redlink=1" class="new" title="Arhimedovo število (stran ne obstaja)">Arhimedovo število</a></li> <li><a href="/wiki/Arhimedska_kro%C5%BEnica" title="Arhimedska krožnica">arhimedska krožnica</a></li> <li><a href="/wiki/Arhimedski_graf" title="Arhimedski graf">arhimedski graf</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="Sklici">Sklici</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Arhimed&veaction=edit&section=21" title="Uredi razdelek: Sklici" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Arhimed&action=edit&section=21" title="Urejanje izvorne kode razdelka: Sklici"><span>uredi kodo</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="reflist columns references-column-width" style="column-width: 25em; list-style-type: decimal;"> <ol class="references"> <li id="cite_note-&lt;span_class=&quot;wikidata_cite_citetype_Q119509990_citetype_Q1172284_citetype_Q19967801_citetype_Q4182287_citetype_Q1988927&quot;_data-entity-id=&quot;Q54919&quot;&gt;Virtualna_mednarodna_normativna_datoteka&lt;span_class=&quot;wef_low_priority_links&quot;&gt;_—_[[:d:Q988937|[Dublin,_Ohio]]]:_[[:Online_Computer_Library_Center|OCLC]],_2003.&lt;/span&gt;&lt;/span&gt;&lt;div_style=&quot;display:none&quot;&gt;[[d:Track:Q988937]][[d:Track:Q54919]]&lt;/div&gt;-1"><span class="mw-cite-backlink"><a href="#cite_ref-&lt;span_class=&quot;wikidata_cite_citetype_Q119509990_citetype_Q1172284_citetype_Q19967801_citetype_Q4182287_citetype_Q1988927&quot;_data-entity-id=&quot;Q54919&quot;&gt;Virtualna_mednarodna_normativna_datoteka&lt;span_class=&quot;wef_low_priority_links&quot;&gt;_—_[[:d:Q988937|[Dublin,_Ohio]]]:_[[:Online_Computer_Library_Center|OCLC]],_2003.&lt;/span&gt;&lt;/span&gt;&lt;div_style=&quot;display:none&quot;&gt;[[d:Track:Q988937]][[d:Track:Q54919]]&lt;/div&gt;_1-0">↑</a></span> <span class="reference-text"><span class="wikidata_cite citetype_Q119509990 citetype_Q1172284 citetype_Q19967801 citetype_Q4182287 citetype_Q1988927" data-entity-id="Q54919">Virtualna mednarodna normativna datoteka<span class="wef_low_priority_links"> — <a href="https://www.wikidata.org/wiki/Q988937" class="extiw" title="d:Q988937">[Dublin, Ohio]</a>: <a href="/wiki/Online_Computer_Library_Center" title="Online Computer Library Center">OCLC</a>, 2003.</span></span><div style="display:none"><a href="https://www.wikidata.org/wiki/Track:Q988937" class="extiw" title="d:Track:Q988937">d:Track:Q988937</a><a href="https://www.wikidata.org/wiki/Track:Q54919" class="extiw" title="d:Track:Q54919">d:Track:Q54919</a></div></span> </li> <li id="cite_note-&lt;span_class=&quot;wikidata_cite_citetype_Q36524_citetype_Q17152639&quot;_data-entity-id=&quot;Q18785969&quot;&gt;British_Museum_person-institution_thesaurus&lt;span_class=&quot;wef_low_priority_links&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;div_style=&quot;display:none&quot;&gt;[[d:Track:Q18785969]]&lt;/div&gt;-2"><span class="mw-cite-backlink">↑ <sup><a href="#cite_ref-&lt;span_class=&quot;wikidata_cite_citetype_Q36524_citetype_Q17152639&quot;_data-entity-id=&quot;Q18785969&quot;&gt;British_Museum_person-institution_thesaurus&lt;span_class=&quot;wef_low_priority_links&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;div_style=&quot;display:none&quot;&gt;[[d:Track:Q18785969]]&lt;/div&gt;_2-0">2,0</a></sup> <sup><a href="#cite_ref-&lt;span_class=&quot;wikidata_cite_citetype_Q36524_citetype_Q17152639&quot;_data-entity-id=&quot;Q18785969&quot;&gt;British_Museum_person-institution_thesaurus&lt;span_class=&quot;wef_low_priority_links&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;div_style=&quot;display:none&quot;&gt;[[d:Track:Q18785969]]&lt;/div&gt;_2-1">2,1</a></sup></span> <span class="reference-text"><span class="wikidata_cite citetype_Q36524 citetype_Q17152639" data-entity-id="Q18785969">British Museum person-institution thesaurus<span class="wef_low_priority_links"></span></span><div style="display:none"><a href="https://www.wikidata.org/wiki/Track:Q18785969" class="extiw" title="d:Track:Q18785969">d:Track:Q18785969</a></div></span> </li> <li id="cite_note-&lt;span_class=&quot;wikidata_cite_citetype_Q615699&quot;_data-entity-id=&quot;Q5375741&quot;&gt;&lt;i_class=&quot;wef_low_priority_links&quot;&gt;Toomer&amp;nbsp;G.&amp;nbsp;J.&lt;/i&gt;_[http://www.britannica.com/biography/Archimedes_Encyclopædia_Britannica]&lt;span_class=&quot;wef_low_priority_links&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;div_style=&quot;display:none&quot;&gt;[[d:Track:Q5375741]]&lt;/div&gt;-3"><span class="mw-cite-backlink"><a href="#cite_ref-&lt;span_class=&quot;wikidata_cite_citetype_Q615699&quot;_data-entity-id=&quot;Q5375741&quot;&gt;&lt;i_class=&quot;wef_low_priority_links&quot;&gt;Toomer&amp;nbsp;G.&amp;nbsp;J.&lt;/i&gt;_[http://www.britannica.com/biography/Archimedes_Encyclopædia_Britannica]&lt;span_class=&quot;wef_low_priority_links&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;div_style=&quot;display:none&quot;&gt;[[d:Track:Q5375741]]&lt;/div&gt;_3-0">↑</a></span> <span class="reference-text"><span class="wikidata_cite citetype_Q615699" data-entity-id="Q5375741"><i class="wef_low_priority_links">Toomer G. J.</i> <a rel="nofollow" class="external text" href="http://www.britannica.com/biography/Archimedes">Encyclopædia Britannica</a><span class="wef_low_priority_links"></span></span><div style="display:none"><a href="https://www.wikidata.org/wiki/Track:Q5375741" class="extiw" title="d:Track:Q5375741">d:Track:Q5375741</a></div></span> </li> <li id="cite_note-&lt;span_class=&quot;wikidata_cite_citetype_Q615699&quot;_data-entity-id=&quot;Q55402145&quot;&gt;Encyclopaedia_Herder&lt;span_class=&quot;wef_low_priority_links&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;div_style=&quot;display:none&quot;&gt;[[d:Track:Q55402145]]&lt;/div&gt;-4"><span class="mw-cite-backlink"><a href="#cite_ref-&lt;span_class=&quot;wikidata_cite_citetype_Q615699&quot;_data-entity-id=&quot;Q55402145&quot;&gt;Encyclopaedia_Herder&lt;span_class=&quot;wef_low_priority_links&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;div_style=&quot;display:none&quot;&gt;[[d:Track:Q55402145]]&lt;/div&gt;_4-0">↑</a></span> <span class="reference-text"><span class="wikidata_cite citetype_Q615699" data-entity-id="Q55402145">Encyclopaedia Herder<span class="wef_low_priority_links"></span></span><div style="display:none"><a href="https://www.wikidata.org/wiki/Track:Q55402145" class="extiw" title="d:Track:Q55402145">d:Track:Q55402145</a></div></span> </li> <li id="cite_note-&lt;span_class=&quot;wikidata_cite_citetype_Q30279428&quot;_data-entity-id=&quot;Q30092237&quot;&gt;&lt;i_class=&quot;wef_low_priority_links&quot;&gt;[[:ru:Любкер,_Фридрих|Любкер&amp;nbsp;Ф.]]&lt;/i&gt;_[http://dlib.rsl.ru/01003599381_Archimedes]_//_&#039;&#039;[[:d:Q30059240|Реальный_словарь_классических_древностей_по_Любкеру]]&#039;&#039;&lt;span_class=&quot;wef_low_priority_links&quot;&gt;_—_&lt;span_title=&quot;Sankt_Peterburg&quot;_style=&quot;border-bottom:_1px_dotted;_cursor:_help;_white-space:_nowrap&quot;&gt;Sankt_Peterburg.&lt;/span&gt;:_[[:ru:Филологическое_общество|Общество_классической_филологии_и_педагогики]],_1885._—_С.&amp;nbsp;130-131.&lt;/span&gt;&lt;/span&gt;&lt;div_style=&quot;display:none&quot;&gt;[[d:Track:Q30092237]][[d:Track:Q30059240]][[d:Track:Q24933120]][[d:Track:Q101490]]&lt;/div&gt;-5"><span class="mw-cite-backlink"><a href="#cite_ref-&lt;span_class=&quot;wikidata_cite_citetype_Q30279428&quot;_data-entity-id=&quot;Q30092237&quot;&gt;&lt;i_class=&quot;wef_low_priority_links&quot;&gt;[[:ru:Любкер,_Фридрих|Любкер&amp;nbsp;Ф.]]&lt;/i&gt;_[http://dlib.rsl.ru/01003599381_Archimedes]_//_&#039;&#039;[[:d:Q30059240|Реальный_словарь_классических_древностей_по_Любкеру]]&#039;&#039;&lt;span_class=&quot;wef_low_priority_links&quot;&gt;_—_&lt;span_title=&quot;Sankt_Peterburg&quot;_style=&quot;border-bottom:_1px_dotted;_cursor:_help;_white-space:_nowrap&quot;&gt;Sankt_Peterburg.&lt;/span&gt;:_[[:ru:Филологическое_общество|Общество_классической_филологии_и_педагогики]],_1885._—_С.&amp;nbsp;130-131.&lt;/span&gt;&lt;/span&gt;&lt;div_style=&quot;display:none&quot;&gt;[[d:Track:Q30092237]][[d:Track:Q30059240]][[d:Track:Q24933120]][[d:Track:Q101490]]&lt;/div&gt;_5-0">↑</a></span> <span class="reference-text"><span class="wikidata_cite citetype_Q30279428" data-entity-id="Q30092237"><i class="wef_low_priority_links"><a href="https://ru.wikipedia.org/wiki/%D0%9B%D1%8E%D0%B1%D0%BA%D0%B5%D1%80,_%D0%A4%D1%80%D0%B8%D0%B4%D1%80%D0%B8%D1%85" class="extiw" title="ru:Любкер, Фридрих">Любкер Ф.</a></i> <a rel="nofollow" class="external text" href="http://dlib.rsl.ru/01003599381">Archimedes</a> // <i><a href="https://www.wikidata.org/wiki/Q30059240" class="extiw" title="d:Q30059240">Реальный словарь классических древностей по Любкеру</a></i><span class="wef_low_priority_links"> — <span title="Sankt Peterburg" style="border-bottom: 1px dotted; cursor: help; white-space: nowrap">Sankt Peterburg.</span>: <a href="https://ru.wikipedia.org/wiki/%D0%A4%D0%B8%D0%BB%D0%BE%D0%BB%D0%BE%D0%B3%D0%B8%D1%87%D0%B5%D1%81%D0%BA%D0%BE%D0%B5_%D0%BE%D0%B1%D1%89%D0%B5%D1%81%D1%82%D0%B2%D0%BE" class="extiw" title="ru:Филологическое общество">Общество классической филологии и педагогики</a>, 1885. — С. 130-131.</span></span><div style="display:none"><a href="https://www.wikidata.org/wiki/Track:Q30092237" class="extiw" title="d:Track:Q30092237">d:Track:Q30092237</a><a href="https://www.wikidata.org/wiki/Track:Q30059240" class="extiw" title="d:Track:Q30059240">d:Track:Q30059240</a><a href="https://www.wikidata.org/wiki/Track:Q24933120" class="extiw" title="d:Track:Q24933120">d:Track:Q24933120</a><a href="https://www.wikidata.org/wiki/Track:Q101490" class="extiw" title="d:Track:Q101490">d:Track:Q101490</a></div></span> </li> <li id="cite_note-&lt;span_class=&quot;wikidata_cite_citetype_Q36524&quot;_data-entity-id=&quot;Q105263158&quot;&gt;Archivio_di_Autorità_del_Museo_Galileo&lt;span_class=&quot;wef_low_priority_links&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;div_style=&quot;display:none&quot;&gt;[[d:Track:Q105263158]]&lt;/div&gt;-6"><span class="mw-cite-backlink">↑ <sup><a href="#cite_ref-&lt;span_class=&quot;wikidata_cite_citetype_Q36524&quot;_data-entity-id=&quot;Q105263158&quot;&gt;Archivio_di_Autorità_del_Museo_Galileo&lt;span_class=&quot;wef_low_priority_links&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;div_style=&quot;display:none&quot;&gt;[[d:Track:Q105263158]]&lt;/div&gt;_6-0">6,0</a></sup> <sup><a href="#cite_ref-&lt;span_class=&quot;wikidata_cite_citetype_Q36524&quot;_data-entity-id=&quot;Q105263158&quot;&gt;Archivio_di_Autorità_del_Museo_Galileo&lt;span_class=&quot;wef_low_priority_links&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;div_style=&quot;display:none&quot;&gt;[[d:Track:Q105263158]]&lt;/div&gt;_6-1">6,1</a></sup></span> <span class="reference-text"><span class="wikidata_cite citetype_Q36524" data-entity-id="Q105263158">Archivio di Autorità del Museo Galileo<span class="wef_low_priority_links"></span></span><div style="display:none"><a href="https://www.wikidata.org/wiki/Track:Q105263158" class="extiw" title="d:Track:Q105263158">d:Track:Q105263158</a></div></span> </li> <li id="cite_note-&lt;span_class=&quot;wikidata_cite_citetype_Q36524_citetype_Q17152639_citetype_Q1172284&quot;_data-entity-id=&quot;Q36578&quot;&gt;[http://d-nb.info/gnd/118503863/_Record_#118503863]_//_Gemeinsame_Normdatei&lt;span_class=&quot;wef_low_priority_links&quot;&gt;_—_2012—2016.&lt;/span&gt;&lt;/span&gt;&lt;div_style=&quot;display:none&quot;&gt;[[d:Track:Q27302]][[d:Track:Q36578]]&lt;/div&gt;-7"><span class="mw-cite-backlink">↑ <sup><a href="#cite_ref-&lt;span_class=&quot;wikidata_cite_citetype_Q36524_citetype_Q17152639_citetype_Q1172284&quot;_data-entity-id=&quot;Q36578&quot;&gt;[http://d-nb.info/gnd/118503863/_Record_#118503863]_//_Gemeinsame_Normdatei&lt;span_class=&quot;wef_low_priority_links&quot;&gt;_—_2012—2016.&lt;/span&gt;&lt;/span&gt;&lt;div_style=&quot;display:none&quot;&gt;[[d:Track:Q27302]][[d:Track:Q36578]]&lt;/div&gt;_7-0">7,0</a></sup> <sup><a href="#cite_ref-&lt;span_class=&quot;wikidata_cite_citetype_Q36524_citetype_Q17152639_citetype_Q1172284&quot;_data-entity-id=&quot;Q36578&quot;&gt;[http://d-nb.info/gnd/118503863/_Record_#118503863]_//_Gemeinsame_Normdatei&lt;span_class=&quot;wef_low_priority_links&quot;&gt;_—_2012—2016.&lt;/span&gt;&lt;/span&gt;&lt;div_style=&quot;display:none&quot;&gt;[[d:Track:Q27302]][[d:Track:Q36578]]&lt;/div&gt;_7-1">7,1</a></sup> <sup><a href="#cite_ref-&lt;span_class=&quot;wikidata_cite_citetype_Q36524_citetype_Q17152639_citetype_Q1172284&quot;_data-entity-id=&quot;Q36578&quot;&gt;[http://d-nb.info/gnd/118503863/_Record_#118503863]_//_Gemeinsame_Normdatei&lt;span_class=&quot;wef_low_priority_links&quot;&gt;_—_2012—2016.&lt;/span&gt;&lt;/span&gt;&lt;div_style=&quot;display:none&quot;&gt;[[d:Track:Q27302]][[d:Track:Q36578]]&lt;/div&gt;_7-2">7,2</a></sup></span> <span class="reference-text"><span class="wikidata_cite citetype_Q36524 citetype_Q17152639 citetype_Q1172284" data-entity-id="Q36578"><a rel="nofollow" class="external text" href="http://d-nb.info/gnd/118503863/">Record #118503863</a> // Gemeinsame Normdatei<span class="wef_low_priority_links"> — 2012—2016.</span></span><div style="display:none"><a href="https://www.wikidata.org/wiki/Track:Q27302" class="extiw" title="d:Track:Q27302">d:Track:Q27302</a><a href="https://www.wikidata.org/wiki/Track:Q36578" class="extiw" title="d:Track:Q36578">d:Track:Q36578</a></div></span> </li> <li id="cite_note-&lt;span_class=&quot;wikidata_cite_citetype_Q36524_citetype_Q7094076_citetype_Q27031827_citetype_Q595971&quot;_data-entity-id=&quot;Q19938912&quot;&gt;data.bnf.fr:_platforma_za_odprte_podatke&lt;span_class=&quot;wef_low_priority_links&quot;&gt;_—_2011.&lt;/span&gt;&lt;/span&gt;&lt;div_style=&quot;display:none&quot;&gt;[[d:Track:Q193563]][[d:Track:Q19938912]]&lt;/div&gt;-8"><span class="mw-cite-backlink"><a href="#cite_ref-&lt;span_class=&quot;wikidata_cite_citetype_Q36524_citetype_Q7094076_citetype_Q27031827_citetype_Q595971&quot;_data-entity-id=&quot;Q19938912&quot;&gt;data.bnf.fr:_platforma_za_odprte_podatke&lt;span_class=&quot;wef_low_priority_links&quot;&gt;_—_2011.&lt;/span&gt;&lt;/span&gt;&lt;div_style=&quot;display:none&quot;&gt;[[d:Track:Q193563]][[d:Track:Q19938912]]&lt;/div&gt;_8-0">↑</a></span> <span class="reference-text"><span class="wikidata_cite citetype_Q36524 citetype_Q7094076 citetype_Q27031827 citetype_Q595971" data-entity-id="Q19938912">data.bnf.fr: platforma za odprte podatke<span class="wef_low_priority_links"> — 2011.</span></span><div style="display:none"><a href="https://www.wikidata.org/wiki/Track:Q193563" class="extiw" title="d:Track:Q193563">d:Track:Q193563</a><a href="https://www.wikidata.org/wiki/Track:Q19938912" class="extiw" title="d:Track:Q19938912">d:Track:Q19938912</a></div></span> </li> <li id="cite_note-9"><span class="mw-cite-backlink"><a href="#cite_ref-9">↑</a></span> <span class="reference-text"><i>Archimedes (c.287 - c.212 BC)</i>. 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Pridobljeno 23. julija 2007.</span> </li> <li id="cite_note-24"><span class="mw-cite-backlink"><a href="#cite_ref-24">↑</a></span> <span class="reference-text">Rorres, Chris. <a rel="nofollow" class="external text" href="http://www.math.nyu.edu/~crorres/Archimedes/Crown/CrownIntro.html"><i>The Golden Crown</i></a>. Drexel University. Pridobljeno 24. marca 2009.</span> </li> <li id="cite_note-25"><span class="mw-cite-backlink"><a href="#cite_ref-25">↑</a></span> <span class="reference-text">Carroll, Bradley W. <a rel="nofollow" class="external text" href="http://www.physics.weber.edu/carroll/Archimedes/principle.htm"><i>Archimedes' Principle</i></a>. Weber State University. Pridobljeno 23. julija 2007.</span> </li> <li id="cite_note-26"><span class="mw-cite-backlink"><a href="#cite_ref-26">↑</a></span> <span class="reference-text"><a class="mw-selflink-fragment" href="#CITEREFCasson1971"> Casson (1971)</a>.</span> </li> <li id="cite_note-27"><span class="mw-cite-backlink"><a href="#cite_ref-27">↑</a></span> <span class="reference-text"><a class="mw-selflink-fragment" href="#CITEREFDalleyOleson2003"> Dalley; Oleson (2003)</a>.</span> </li> <li id="cite_note-28"><span class="mw-cite-backlink"><a href="#cite_ref-28">↑</a></span> <span class="reference-text">Rorres, Chris. <a rel="nofollow" class="external text" href="https://www.cs.drexel.edu/~crorres/Archimedes/Screw/optimal/optimal.html"><i>Archimedes' screw – Optimal Design</i></a>. Courant Institute of Mathematical Sciences. Pridobljeno 23. julija 2007.</span> </li> <li id="cite_note-29"><span class="mw-cite-backlink"><a href="#cite_ref-29">↑</a></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://www.wrecksite.eu/wreck.aspx?636">SS [Archimedes]</a>. wrecksite.eu. Pridobljeno 22. januarja 2011.</span> </li> <li id="cite_note-30"><span class="mw-cite-backlink"><a href="#cite_ref-30">↑</a></span> <span class="reference-text">Rorres, Chris. <a rel="nofollow" class="external text" href="http://www.math.nyu.edu/~crorres/Archimedes/Claw/illustrations.html"><i>Archimedes' Claw – Illustrations and Animations – a range of possible designs for the claw</i></a>. Courant Institute of Mathematical Sciences. Pridobljeno 23. julija 2007.</span> </li> <li id="cite_note-31"><span class="mw-cite-backlink"><a href="#cite_ref-31">↑</a></span> <span class="reference-text">Carroll, Bradley W. <a rel="nofollow" class="external text" href="http://physics.weber.edu/carroll/Archimedes/claw.htm">Archimedes' <i>Claw – watch an animation</i></a>. Weber State University. 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Pridobljeno 12. avgusta 2007.</span> </li> <li id="cite_note-35"><span class="mw-cite-backlink"><a href="#cite_ref-35">↑</a></span> <span class="reference-text">Bonsor, Kevin. <a rel="nofollow" class="external text" href="http://science.howstuffworks.com/nature/natural-disasters/wildfire.htm"><i>How Wildfires Work</i></a>. HowStuffWorks. Pridobljeno 23. septembra 2007.</span> </li> <li id="cite_note-36"><span class="mw-cite-backlink"><a href="#cite_ref-36">↑</a></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://www.engineeringtoolbox.com/fuels-ignition-temperatures-d_171.html"><i>Fuels and Chemicals – Auto Ignition Temperatures</i></a>.</span> </li> <li id="cite_note-37"><span class="mw-cite-backlink"><a href="#cite_ref-37">↑</a></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://web.mit.edu/2.009/www/experiments/deathray/10_Mythbusters.html"><i>Archimedes Death Ray: Testing with MythBusters</i></a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20160108000449/http://web.mit.edu/2.009/www///experiments/deathray/10_Mythbusters.html">Arhivirano</a> 2016-01-08 na <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a>.. MIT. Pridobljeno 23. julija 2007.</span> </li> <li id="cite_note-38"><span class="mw-cite-backlink"><a href="#cite_ref-38">↑</a></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://fandomania.com/tv-review-mythbusters-8-27-presidents-challenge/"><i>TV Review: MythBusters 8.27 – President's Challenge</i></a>. Pridobljeno 18. decembra 2010.</span> </li> <li id="cite_note-39"><span class="mw-cite-backlink"><a href="#cite_ref-39">↑</a></span> <span class="reference-text"><a class="mw-selflink-fragment" href="#CITEREFClagett2001"> Clagett (2001)</a>.</span> </li> <li id="cite_note-40"><span class="mw-cite-backlink"><a href="#cite_ref-40">↑</a></span> <span class="reference-text">Pappus of Alexandria. <i>Synagoge</i>, VIII. knjiga.</span> </li> <li id="cite_note-41"><span class="mw-cite-backlink"><a href="#cite_ref-41">↑</a></span> <span class="reference-text">Rorres, Chris. <a rel="nofollow" class="external text" href="http://www.math.nyu.edu/~crorres/Archimedes/Lever/LeverLaw.html">The Law of the <i>Lever According to Archimedes</i></a>. Courant Institute of Mathematical Sciences. Pridobljeno 20. marca 2010.</span> </li> <li id="cite_note-42"><span class="mw-cite-backlink"><a href="#cite_ref-42">↑</a></span> <span class="reference-text">Dougherty, F. C.; Macari, J.; Okamoto, C.. <i>Pulleys</i>. Society of Women Engineers. Pridobljeno 23. julija 2007.</span> </li> <li id="cite_note-43"><span class="mw-cite-backlink"><a href="#cite_ref-43">↑</a></span> <span class="reference-text"><i>Ancient Greek Scientists: Hero of Alexandria</i>. Technology Museum of Thessaloniki. Pridobljeno 14. septembra 2007.</span> </li> <li id="cite_note-44"><span class="mw-cite-backlink"><a href="#cite_ref-44">↑</a></span> <span class="reference-text">Cicero. <a rel="nofollow" class="external text" href="http://www.thelatinlibrary.com/cicero/repub1.shtml#21"><i>De re publica 1.xiv §21</i></a>. thelatinlibrary.com. Pridobljeno 23. julija 2007</span> </li> <li id="cite_note-45"><span class="mw-cite-backlink"><a href="#cite_ref-45">↑</a></span> <span class="reference-text">Cicero. <i>De re publica</i>. Celoten e-text v angleščini z Gutenberg.org. Project Gutenberg. 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Pridobljeno 14. septembra 2007.</span> </li> <li id="cite_note-71"><span class="mw-cite-backlink"><a href="#cite_ref-71">↑</a></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://www.math.uwaterloo.ca/navigation/ideas/reckoner.shtml"><i>Angleški prevod Psammitesa</i></a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20070811235335/http://www.math.uwaterloo.ca/navigation/ideas/reckoner.shtml">Arhivirano</a> 2007-08-11 na <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a>.. University of Waterloo. 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li{list-style:none}@media(max-width:720px){.mw-parser-output .refbegin-hanging-indents>ul>li{padding-left:1.6em;text-indent:-1.6em}}.mw-parser-output .refbegin-100{font-size:100%}.mw-parser-output .refbegin-columns{margin-top:0.3em}.mw-parser-output .refbegin-columns dl,.mw-parser-output .refbegin-columns ol,.mw-parser-output .refbegin-columns ul{margin-top:0}.mw-parser-output .refbegin-columns li,.mw-parser-output .refbegin-columns dd{page-break-inside:avoid;break-inside:avoid-column}</style><div class="refbegin refbegin-columns references-column-count references-column-count-2" style="column-count: 2;"> <ul><li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r5980307"><cite id="CITEREFBrown2015" class="citation cs2 cs1-prop-foreign-lang-source">Brown, Kevin (2015), <a rel="nofollow" class="external text" href="http://www.mathpages.com/home/kmath038/kmath038.htm"><i>Archimedes and the Square Root of 3</i></a> (v angleščini)<span class="reference-accessdate">, 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href="http://www.archive.org/details/worksofarchimede029517mbp"><i>The Works of Archimedes</i></a>, <a href="/wiki/Univerza_v_Cambridgeu" title="Univerza v Cambridgeu">Univerza v Cambridgeu</a>: University Press<span class="reference-accessdate">, pridobljeno 15. junija 2008</span></cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=knjiga&rft.btitle=The+Works+of+Archimedes&rft.place=Univerza+v+Cambridgeu&rft.pub=University+Press&rft.date=1897&rft.aulast=Heath&rft.aufirst=Thomas+Little&rft_id=http%3A%2F%2Fwww.archive.org%2Fdetails%2Fworksofarchimede029517mbp&rfr_id=info%3Asid%2Fsl.wikipedia.org%3AArhimed" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r5980307"><cite id="CITEREFKnorr1976" class="citation cs2"><a href="/w/index.php?title=Wilbur_Knorr&action=edit&redlink=1" class="new" title="Wilbur Knorr (stran ne obstaja)">Knorr, Wilbur Richard</a> (1976), »Archimedes and the measurement of the circle: a new interpretation«, <i>Archive for History of Exact Sciences</i>, <b>15</b> (2): 115–140, <a href="/wiki/Doi_(identifikator)" class="mw-redirect" title="Doi (identifikator)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1007%2Fbf00348496">10.1007/bf00348496</a>, <a href="/wiki/ISSN_(identifikator)" class="mw-redirect" title="ISSN (identifikator)">ISSN</a> <a rel="nofollow" class="external text" href="https://www.worldcat.org/issn/0003-9519">0003-9519</a>, <a href="/wiki/JSTOR_(identifikator)" class="mw-redirect" title="JSTOR (identifikator)">JSTOR</a> <a rel="nofollow" class="external text" href="https://www.jstor.org/stable/41133444">41133444</a>, <a href="/w/index.php?title=MR_(identifikator)&action=edit&redlink=1" class="new" title="MR (identifikator) (stran ne obstaja)">MR</a> <a rel="nofollow" class="external text" href="https://mathscinet.ams.org/mathscinet-getitem?mr=0497462">0497462</a></cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=%C4%8Dlanek&rft.jtitle=Archive+for+History+of+Exact+Sciences&rft.atitle=Archimedes+and+the+measurement+of+the+circle%3A+a+new+interpretation&rft.volume=15&rft.issue=2&rft.pages=115-140&rft.date=1976&rft.issn=0003-9519&rft_id=https%3A%2F%2Fmathscinet.ams.org%2Fmathscinet-getitem%3Fmr%3D0497462%23id-name%3DMR&rft_id=https%3A%2F%2Fwww.jstor.org%2Fstable%2F41133444%23id-name%3DJSTOR&rft_id=info%3Adoi%2F10.1007%2Fbf00348496&rft.aulast=Knorr&rft.aufirst=Wilbur+Richard&rfr_id=info%3Asid%2Fsl.wikipedia.org%3AArhimed" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r5980307"><cite id="CITEREFMcKeeman2010" class="citation cs2 cs1-prop-foreign-lang-source">McKeeman, Bill (23. november 2010), <a rel="nofollow" class="external text" href="http://www.mathworks.com/matlabcentral/fileexchange/29504-the-computation-of-pi-by-archimedes/content/html/ComputationOfPiByArchimedes.html#37">»The Computation of Pi by Archimedes«</a>, <i>Matlab Central</i> (v angleščini)<span class="reference-accessdate">, pridobljeno 30. oktobra 2012</span></cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=%C4%8Dlanek&rft.jtitle=Matlab+Central&rft.atitle=The+Computation+of+Pi+by+Archimedes&rft.date=2010-11-23&rft.aulast=McKeeman&rft.aufirst=Bill&rft_id=http%3A%2F%2Fwww.mathworks.com%2Fmatlabcentral%2Ffileexchange%2F29504-the-computation-of-pi-by-archimedes%2Fcontent%2Fhtml%2FComputationOfPiByArchimedes.html%2337&rfr_id=info%3Asid%2Fsl.wikipedia.org%3AArhimed" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r5980307"><cite id="CITEREFNoble_Wilford2008" class="citation cs2">Noble Wilford, John (31. julij 2008), <a rel="nofollow" class="external text" href="http://www.nytimes.com/2008/07/31/science/31computer.html?_r=2"><i>Discovering How Greeks Computed in 100 B.C.</i></a>, The New York Times<span class="reference-accessdate">, pridobljeno 25. decembra 2013</span></cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=knjiga&rft.btitle=Discovering+How+Greeks+Computed+in+100+B.C.&rft.pub=The+New+York+Times&rft.date=2008-07-31&rft.aulast=Noble+Wilford&rft.aufirst=John&rft_id=http%3A%2F%2Fwww.nytimes.com%2F2008%2F07%2F31%2Fscience%2F31computer.html%3F_r%3D2&rfr_id=info%3Asid%2Fsl.wikipedia.org%3AArhimed" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r5980307"><cite id="CITEREFRicheson2013" class="citation cs2">Richeson, David (2013), <i>Circular reasoning: who first proved that <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle C/d\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <mi>d</mi> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle C/d\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/dbf3937c02e4d5e02725ecd099e2f172b92b0ba1" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:4.532ex; height:2.843ex;" alt="{\displaystyle C/d\,}"></span> is a constant?</i>, <a href="/wiki/ArXiv_(identifikator)" class="mw-redirect" title="ArXiv (identifikator)">arXiv</a>:<span class="cs1-lock-free" title="Prosto dostopno"><a rel="nofollow" class="external text" href="https://arxiv.org/abs/1303.0904">1303.0904</a></span></cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=knjiga&rft.btitle=Circular+reasoning%3A+who+first+proved+that+MATH+RENDER+ERROR+is+a+constant%3F&rft.date=2013&rft_id=info%3Aarxiv%2F1303.0904&rft.aulast=Richeson&rft.aufirst=David&rfr_id=info%3Asid%2Fsl.wikipedia.org%3AArhimed" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r5980307"><cite id="CITEREFWesley1810" class="citation cs2">Wesley, John (1810), »Chapter XII, Burning Glasses«, <a rel="nofollow" class="external text" href="https://web.archive.org/web/20071012154432/http://wesley.nnu.edu/john_wesley/wesley_natural_philosophy/duten12.htm"><i>Compendium of Natural Philosophy</i></a>, arhivirano iz prvotnega dne 12. oktobra 2007<span class="reference-accessdate">, pridobljeno 14. septembra 2007</span></cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=knji%C5%BEni+predmet&rft.atitle=Chapter+XII%2C+Burning+Glasses&rft.btitle=Compendium+of+Natural+Philosophy&rft.date=1810&rft.aulast=Wesley&rft.aufirst=John&rft_id=http%3A%2F%2Fwesley.nnu.edu%2Fjohn_wesley%2Fwesley_natural_philosophy%2Fduten12.htm&rfr_id=info%3Asid%2Fsl.wikipedia.org%3AArhimed" class="Z3988"></span><span class="cs1-maint citation-comment"><code class="cs1-code">{{<a href="/wiki/Predloga:Citation" class="mw-redirect" title="Predloga:Citation">citation</a>}}</code>: Vzdrževanje CS1: bot: neznano stanje prvotnega URL-ja (<a href="/wiki/Kategorija:Vzdr%C5%BEevanje_CS1:_bot:_neznano_stanje_prvotnega_URL-ja" title="Kategorija:Vzdrževanje CS1: bot: neznano stanje prvotnega URL-ja">povezava</a>)</span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r5980307"><cite id="CITEREFWhitford1912" class="citation cs2">Whitford, Edward Everett (1912), <a rel="nofollow" class="external text" href="http://name.umdl.umich.edu/ABV2773.0001.001"><i>The Pell equation</i></a>, doktorska disertacija, <a href="/wiki/Univerza_Columbia" title="Univerza Columbia">Univerza Columbia</a></cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=knjiga&rft.btitle=The+Pell+equation&rft.series=doktorska+disertacija&rft.pub=Univerza+Columbia&rft.date=1912&rft.aulast=Whitford&rft.aufirst=Edward+Everett&rft_id=http%3A%2F%2Fname.umdl.umich.edu%2FABV2773.0001.001&rfr_id=info%3Asid%2Fsl.wikipedia.org%3AArhimed" class="Z3988"></span></li></ul> </div> <div class="mw-heading mw-heading2"><h2 id="Zunanje_povezave">Zunanje povezave</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Arhimed&veaction=edit&section=23" title="Uredi razdelek: Zunanje povezave" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Arhimed&action=edit&section=23" title="Urejanje izvorne kode razdelka: Zunanje povezave"><span>uredi kodo</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r5916282">.mw-parser-output .side-box{margin:4px 0;box-sizing:border-box;border:1px solid #aaa;font-size:88%;line-height:1.25em;background-color:#f9f9f9;display:flow-root}.mw-parser-output .side-box-abovebelow,.mw-parser-output .side-box-text{padding:0.25em 0.9em}.mw-parser-output .side-box-image{padding:2px 0 2px 0.9em;text-align:center}.mw-parser-output .side-box-imageright{padding:2px 0.9em 2px 0;text-align:center}@media(min-width:500px){.mw-parser-output .side-box-flex{display:flex;align-items:center}.mw-parser-output .side-box-text{flex:1}}@media(min-width:720px){.mw-parser-output .side-box{width:238px}.mw-parser-output .side-box-right{clear:right;float:right;margin-left:1em}.mw-parser-output .side-box-left{margin-right:1em}}</style><div 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href="/w/index.php?title=Bion_Abderski&action=edit&redlink=1" class="new" title="Bion Abderski (stran ne obstaja)">Bion</a></li> <li><a href="/wiki/Boetij" title="Boetij">Boetij</a></li> <li><a href="/w/index.php?title=Brizon&action=edit&redlink=1" class="new" title="Brizon (stran ne obstaja)">Brizon</a></li> <li><a href="/wiki/Dejnostrat" title="Dejnostrat">Dejnostrat</a></li> <li><a href="/wiki/Demokrit" title="Demokrit">Demokrit</a></li> <li><a href="/wiki/Dicearh" title="Dicearh">Dicearh</a></li> <li><a href="/w/index.php?title=Diokles&action=edit&redlink=1" class="new" title="Diokles (stran ne obstaja)">Diokles</a></li> <li><b><a href="/wiki/Diofant" title="Diofant">Diofant</a></b></li> <li><a href="/w/index.php?title=Dionisodor&action=edit&redlink=1" class="new" title="Dionisodor (stran ne obstaja)">Dionisodor</a></li> <li><a href="/w/index.php?title=Domninos&action=edit&redlink=1" class="new" title="Domninos (stran ne obstaja)">Domninos</a></li> <li><a href="/wiki/Eratosten" title="Eratosten">Eratosten</a></li> <li><a href="/wiki/Evdem" class="mw-redirect" title="Evdem">Evdem</a></li> <li><b><a href="/wiki/Evdoks" title="Evdoks">Evdoks</a></b></li> <li><b><a href="/wiki/Evklid" title="Evklid">Evklid</a></b></li> <li><a href="/wiki/Evtokij" title="Evtokij">Evtokij</a></li> <li><a href="/wiki/Filolaj" title="Filolaj">Filolaj</a></li> <li><a href="/w/index.php?title=Filon&action=edit&redlink=1" class="new" title="Filon (stran ne obstaja)">Filon</a></li> <li><a href="/wiki/Gemin" title="Gemin">Gemin</a></li> <li><a href="/wiki/Heron" title="Heron">Heron</a></li> <li><b><a href="/wiki/Hiparh" title="Hiparh">Hiparh</a></b></li> <li><a href="/wiki/Hipas" title="Hipas">Hipas</a></li> <li><b><a href="/wiki/Hipatija" title="Hipatija">Hipatija</a></b></li> <li><a href="/w/index.php?title=Hipija&action=edit&redlink=1" class="new" title="Hipija (stran ne obstaja)">Hipija</a></li> <li><a href="/wiki/Hipokrat_(geometer)" title="Hipokrat (geometer)">Hipokrat</a></li> <li><a href="/wiki/Hipsiklej" title="Hipsiklej">Hipsiklej</a></li> <li><a href="/wiki/Hrizip" title="Hrizip">Hrizip</a></li> <li><a href="/wiki/Izidor_iz_Mileta" title="Izidor iz Mileta">Izidor</a></li> <li><a href="/wiki/Kalip" title="Kalip">Kalip</a></li> <li><a href="/w/index.php?title=Karpos&action=edit&redlink=1" class="new" title="Karpos (stran ne obstaja)">Karpos</a></li> <li><a href="/wiki/Kleomed" title="Kleomed">Kleomed</a></li> <li><a href="/wiki/Konon" title="Konon">Konon</a></li> <li><a href="/wiki/Ksenokrat" title="Ksenokrat">Ksenokrat</a></li> <li><a href="/wiki/Ktezibij" title="Ktezibij">Ktezibij</a></li> <li><a href="/w/index.php?title=Marinos&action=edit&redlink=1" class="new" title="Marinos (stran ne obstaja)">Marinos</a></li> <li><a href="/wiki/Menehmo" title="Menehmo">Menehmo</a></li> <li><a href="/wiki/Menelaj" title="Menelaj">Menelaj</a></li> <li><a href="/wiki/Meton" title="Meton">Meton</a></li> <li><a href="/wiki/Nikomah" title="Nikomah">Nikomah</a></li> <li><a href="/wiki/Nikomed" title="Nikomed">Nikomed</a></li> <li><a href="/wiki/Nikoteles" title="Nikoteles">Nikoteles</a></li> <li><a href="/wiki/Oinopid" title="Oinopid">Oinopid</a></li> <li><b><a href="/wiki/Papos_Aleksandrijski" title="Papos Aleksandrijski">Papos</a></b></li> <li><a href="/w/index.php?title=Perzej_(geometer)&action=edit&redlink=1" class="new" title="Perzej (geometer) (stran ne obstaja)">Perzej</a></li> <li><b><a href="/wiki/Pitagora" title="Pitagora">Pitagora</a></b></li> <li><a href="/wiki/Piteas" title="Piteas">Piteas</a></li> <li><a href="/wiki/Porfirij" class="mw-redirect" title="Porfirij">Porfirij</a></li> <li><a href="/wiki/Posidonij" title="Posidonij">Posidonij</a></li> <li><a href="/wiki/Prokl" title="Prokl">Prokl</a></li> <li><b><a href="/wiki/Ptolemaj" title="Ptolemaj">Ptolemaj</a></b></li> <li><a href="/w/index.php?title=Seren&action=edit&redlink=1" class="new" title="Seren (stran ne obstaja)">Seren</a></li> <li><a href="/wiki/Simplikij" title="Simplikij">Simplikij</a></li> <li><a href="/wiki/Sosigen" title="Sosigen">Sosigen</a></li> <li><a href="/wiki/Sporos" title="Sporos">Sporos</a></li> <li><b><a href="/wiki/Tales" title="Tales">Tales</a></b></li> <li><a href="/w/index.php?title=Teajtet&action=edit&redlink=1" class="new" title="Teajtet (stran ne obstaja)">Teajtet</a></li> <li><a href="/w/index.php?title=Teano&action=edit&redlink=1" class="new" title="Teano (stran ne obstaja)">Teano</a></li> <li><a href="/w/index.php?title=Teodor_iz_Kirene&action=edit&redlink=1" class="new" title="Teodor iz Kirene (stran ne obstaja)">Teodor</a></li> <li><a href="/wiki/Teodozij" title="Teodozij">Teodozij</a></li> <li><a href="/wiki/Teon_I." title="Teon I.">Teon I.</a></li> <li><a href="/wiki/Teon_II." title="Teon II.">Teon II.</a></li> <li><a href="/w/index.php?title=Timarid&action=edit&redlink=1" class="new" title="Timarid (stran ne obstaja)">Timarid</a></li> <li><a href="/w/index.php?title=Zenodor_(matematik)&action=edit&redlink=1" class="new" title="Zenodor (matematik) (stran ne obstaja)">Zenodor</a></li> <li><b><a href="/wiki/Zenon" title="Zenon">Zenon Elejski</a></b></li> <li><a href="/w/index.php?title=Zenon_iz_Sidona&action=edit&redlink=1" class="new" title="Zenon iz Sidona (stran ne obstaja)">Zenon Sidonski</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Dela</th><td class="navbox-list navbox-even hlist" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><i><a href="/wiki/Almagest" title="Almagest">Almagest</a></i></li> <li><i><a href="/wiki/Arhimedov_palimpsest" title="Arhimedov palimpsest">Arhimedov palimpsest</a></i></li> <li><i><a href="/wiki/Arithmetica" title="Arithmetica">Aritmetika</a></i></li> <li><i><a href="/wiki/Elementi_(Evklid)" title="Elementi (Evklid)">Elementi</a></i></li> <li><i><a href="/wiki/Merjenje_kroga" title="Merjenje kroga">Merjenje kroga</a></i></li> <li><i><a href="/wiki/Avtolik" title="Avtolik">O gibajoči sferi</a></i></li> <li><i><a href="/wiki/Apolonij" title="Apolonij">O stožnicah</a></i></li> <li><a href="/wiki/Aristarh" title="Aristarh"><i>O velikostih in razdaljah</i> (Aristarh)</a></li> <li><a href="/wiki/Hiparh" title="Hiparh"><i>O velikostih in razdaljah</i> (Hiparh)</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Središča</th><td class="navbox-list navbox-odd hlist" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><a href="/wiki/Aleksandrijska_knji%C5%BEnica" title="Aleksandrijska knjižnica">Aleksandrijska knjižnica</a></li> <li><a href="/wiki/Kirena" title="Kirena">Kirena</a></li> <li><a href="/wiki/Platonova_Akademija" title="Platonova Akademija">Platonova Akademija</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Vplivi</th><td class="navbox-list navbox-even hlist" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><a href="/wiki/Babilonska_matematika" title="Babilonska matematika">babilonska matematika</a></li> <li><a href="/w/index.php?title=Egip%C4%8Danska_matematika&action=edit&redlink=1" class="new" title="Egipčanska matematika (stran ne obstaja)">egipčanska matematika</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Vpliv na</th><td class="navbox-list navbox-odd hlist" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><a href="/w/index.php?title=Arabska_matematika&action=edit&redlink=1" class="new" title="Arabska matematika (stran ne obstaja)">arabsko matematiko</a></li> <li><a href="/wiki/Zgodovina_matematike#Preporod_matematike_v_Evropi_(1100-1400" title="Zgodovina matematike">evropsko matematiko</a></li> <li><a href="/w/index.php?title=Indijska_matematika&action=edit&redlink=1" class="new" title="Indijska matematika (stran ne obstaja)">indijsko matematiko</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Problemi</th><td class="navbox-list navbox-even hlist" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><a href="/w/index.php?title=Apolonijev_problem&action=edit&redlink=1" class="new" title="Apolonijev problem (stran ne obstaja)">Apolonijev problem</a></li> <li><a href="/wiki/Geometrijska_konstrukcija" title="Geometrijska konstrukcija">konstrukcija</a> <a href="/wiki/Sedemkotnik" title="Sedemkotnik">sedemkotnika</a></li> <li><a href="/wiki/Kvadratura_kroga" title="Kvadratura kroga">kvadratura kroga</a></li> <li><a href="/wiki/Podvojitev_kocke" title="Podvojitev kocke">podvojitev kocke</a></li> <li><a href="/wiki/Tretjinjenje_kota" title="Tretjinjenje kota">tretjinjenje kota</a></li></ul> </div></td></tr></tbody></table></div> <div role="navigation" class="navbox" aria-labelledby="Astronomija_stare_Grčije" style="padding:3px"><table class="nowraplinks mw-collapsible autocollapse navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r5911192"><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-prikaži"><a href="/wiki/Predloga:Gr%C5%A1ka_astronomija" title="Predloga:Grška astronomija"><abbr title="Prikaži to predlogo" style=";;background:none transparent;color:inherit;border:none;-moz-box-shadow:none;-webkit-box-shadow:none;box-shadow:none;">p</abbr></a></li><li class="nv-pogovor"><a href="/w/index.php?title=Pogovor_o_predlogi:Gr%C5%A1ka_astronomija&action=edit&redlink=1" class="new" title="Pogovor o predlogi:Grška astronomija (stran ne obstaja)"><abbr title="Pogovor o tej predlogi" style=";;background:none transparent;color:inherit;border:none;-moz-box-shadow:none;-webkit-box-shadow:none;box-shadow:none;">p</abbr></a></li><li class="nv-uredi"><a class="external text" href="https://sl.wikipedia.org/w/index.php?title=Predloga:Gr%C5%A1ka_astronomija&action=edit"><abbr title="Uredi to predlogo" style=";;background:none transparent;color:inherit;border:none;-moz-box-shadow:none;-webkit-box-shadow:none;box-shadow:none;">u</abbr></a></li></ul></div><div id="Astronomija_stare_Grčije" style="font-size:114%;margin:0 4em"><a href="/wiki/Astronomija_stare_Gr%C4%8Dije" title="Astronomija stare Grčije">Astronomija stare Grčije</a></div></th></tr><tr><th scope="row" class="navbox-group" style="width:1%">Astronomi in<br />astronomke</th><td class="navbox-list navbox-odd hlist" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><a href="/wiki/Aglaonike" title="Aglaonike">Aglaonike</a></li> <li><a href="/wiki/Agripa_(astronom)" title="Agripa (astronom)">Agripa</a></li> <li><a href="/wiki/Akorej" title="Akorej">Akorej</a></li> <li><a href="/wiki/Anaksagora" title="Anaksagora">Anaksagora</a></li> <li><a href="/wiki/Anaksimander" title="Anaksimander">Anaksimander</a></li> <li><a href="/wiki/Andronik" title="Andronik">Andronik</a></li> <li><a href="/wiki/Apolonij" title="Apolonij">Apolonij</a></li> <li><a href="/wiki/Arat" title="Arat">Arat</a></li> <li><a class="mw-selflink selflink">Arhimed</a></li> <li><a href="/wiki/Arhit" title="Arhit">Arhit</a></li> <li><b><a href="/wiki/Aristarh" title="Aristarh">Aristarh</a></b></li> <li><a href="/wiki/Aristil" title="Aristil">Aristil</a></li> <li><a href="/wiki/Atal_z_Rodosa" title="Atal z Rodosa">Atal</a></li> <li><a href="/wiki/Avtolik" title="Avtolik">Avtolik</a></li> <li><a href="/w/index.php?title=Bion_Abderski&action=edit&redlink=1" class="new" title="Bion Abderski (stran ne obstaja)">Bion</a></li> <li><a href="/wiki/Empedoklej" title="Empedoklej">Empedoklej</a></li> <li><b><a href="/wiki/Eratosten" title="Eratosten">Eratosten</a></b></li> <li><a href="/wiki/Evktemon" title="Evktemon">Evktemon</a></li> <li><b><a href="/wiki/Evdoks" title="Evdoks">Evdoks</a></b></li> <li><a href="/wiki/Filip_Opuntski" title="Filip Opuntski">Filip Opuntski</a></li> <li><a href="/wiki/Filolaj" title="Filolaj">Filolaj</a></li> <li><a href="/wiki/Gemin" title="Gemin">Gemin</a></li> <li><a href="/wiki/Heraklit_Pontski" title="Heraklit Pontski">Heraklit</a></li> <li><a href="/wiki/Hiket" title="Hiket">Hiket</a></li> <li><b><a href="/wiki/Hiparh" title="Hiparh">Hiparh</a></b></li> <li><a href="/wiki/Hipokrat_(geometer)" title="Hipokrat (geometer)">Hipokrat</a></li> <li><a href="/wiki/Hipsiklej" title="Hipsiklej">Hipsiklej</a></li> <li><a href="/wiki/Kalip" title="Kalip">Kalip</a></li> <li><a href="/wiki/Kleomed" title="Kleomed">Kleomed</a></li> <li><a href="/wiki/Kleostrat" title="Kleostrat">Kleostrat</a></li> <li><a href="/wiki/Konon" title="Konon">Konon</a></li> <li><a href="/wiki/Menelaj" title="Menelaj">Menelaj</a></li> <li><a href="/wiki/Meton" title="Meton">Meton</a></li> <li><a href="/wiki/Oinopid" title="Oinopid">Oinopid</a></li> <li><a href="/wiki/Parmenid" title="Parmenid">Parmenid</a></li> <li><a href="/wiki/Piteas" title="Piteas">Piteas</a></li> <li><a href="/wiki/Porfirij_Tirski" title="Porfirij Tirski">Porfirij</a></li> <li><a href="/wiki/Posidonij" title="Posidonij">Posidonij</a></li> <li><b><a href="/wiki/Ptolemaj" title="Ptolemaj">Ptolemaj</a></b></li> <li><a href="/wiki/Selevk" title="Selevk">Selevk</a></li> <li><a href="/wiki/Sosigen" title="Sosigen">Sosigen</a></li> <li><a href="/wiki/Sosigen_Peripatetik" title="Sosigen Peripatetik">Sosigen Peripatetik</a></li> <li><a href="/wiki/Sporos" title="Sporos">Sporos</a></li> <li><a href="/wiki/Tales" title="Tales">Tales</a></li> <li><a href="/wiki/Teodozij" title="Teodozij">Teodozij</a></li> <li><a href="/wiki/Teon_I." title="Teon I.">Teon I.</a></li> <li><a href="/wiki/Teon_II." title="Teon II.">Teon II.</a></li> <li><a href="/wiki/Timoharis" title="Timoharis">Timoharis</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Dela</th><td class="navbox-list navbox-even hlist" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><a href="/wiki/Almagest" title="Almagest"><i>Almagest</i></a></li> <li><a href="/wiki/Aristotel" title="Aristotel"><i>O nebesnem svodu</i> (Aristotel)</a></li> <li><a href="/wiki/Aristarh" title="Aristarh"><i>O velikostih in razdaljah</i> (Aristarh)</a></li> <li><a href="/wiki/Hiparh" title="Hiparh"><i>O velikostih in razdaljah</i> (Hiparh)</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Središča</th><td class="navbox-list navbox-odd hlist" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><a href="/wiki/Aleksandrijska_knji%C5%BEnica" title="Aleksandrijska knjižnica">Aleksandrijska knjižnica</a></li> <li><a href="/wiki/Kirena" title="Kirena">Kirena</a></li> <li><a href="/wiki/Platonova_Akademija" title="Platonova Akademija">Platonova Akademija</a></li> <li><a href="/wiki/Rodos" title="Rodos">Rodos</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Inštrumenti</th><td class="navbox-list navbox-even hlist" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><a href="/wiki/Armilarna_sfera" title="Armilarna sfera">armilarna sfera</a></li> <li><a href="/wiki/Astrolab" title="Astrolab">astrolab</a></li> <li><a href="/w/index.php?title=Dioptra&action=edit&redlink=1" class="new" title="Dioptra (stran ne obstaja)">dioptra</a></li> <li><a href="/wiki/Ekvatorialni_obro%C4%8D" title="Ekvatorialni obroč">ekvatorialni obroč</a></li> <li><a href="/wiki/Gnomon" title="Gnomon">gnomon</a></li> <li><a href="/wiki/Mehanizem_z_Antikitere" title="Mehanizem z Antikitere">mehanizem z Antikitere</a></li> <li><a href="/w/index.php?title=Trikveter&action=edit&redlink=1" class="new" title="Trikveter (stran ne obstaja)">trikveter</a></li> <li><a href="/w/index.php?title=Zidni_in%C5%A1trument&action=edit&redlink=1" class="new" title="Zidni inštrument (stran ne obstaja)">zidni kvadrant</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Pojmi/teorije</th><td class="navbox-list navbox-odd hlist" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><a href="/w/index.php?title=Epicikel&action=edit&redlink=1" class="new" title="Epicikel (stran ne obstaja)">deferent in epicikel</a></li> <li><a href="/w/index.php?title=Ekvant&action=edit&redlink=1" class="new" title="Ekvant (stran ne obstaja)">ekvant</a></li> <li><a href="/wiki/Geocentri%C4%8Dni_model" title="Geocentrični model">geocentrični model</a></li> <li><a href="/wiki/Heliocentri%C4%8Dni_model" title="Heliocentrični model">heliocentrični model</a></li> <li><a href="/wiki/Hiparhov_cikel" title="Hiparhov cikel">Hiparhov cikel</a></li> <li><a href="/w/index.php?title=Kalipov_cikel&action=edit&redlink=1" class="new" title="Kalipov cikel (stran ne obstaja)">Kalipov cikel</a></li> <li><a href="/wiki/Kleostrat" title="Kleostrat">Kleostratov cikel</a></li> <li><a href="/wiki/Krogelna_Zemlja" title="Krogelna Zemlja">krogelna Zemlja</a></li> <li><a href="/w/index.php?title=Metonov_cikel&action=edit&redlink=1" class="new" title="Metonov cikel (stran ne obstaja)">Metonov cikel</a></li> <li><a href="/w/index.php?title=Nebesne_krogle&action=edit&redlink=1" class="new" title="Nebesne krogle (stran ne obstaja)">nebesne krogle</a></li> <li><a href="/w/index.php?title=Oktaeteris&action=edit&redlink=1" class="new" title="Oktaeteris (stran ne obstaja)">oktaeteris</a></li> <li><a href="/w/index.php?title=Podlunarna_krogla&action=edit&redlink=1" class="new" title="Podlunarna krogla (stran ne obstaja)">podlunarna krogla</a></li> <li><a href="/w/index.php?title=Protizemlja&action=edit&redlink=1" class="new" title="Protizemlja (stran ne obstaja)">protizemlja</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Vplivi</th><td class="navbox-list navbox-even hlist" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><a href="/w/index.php?title=Babilonska_astronomija&action=edit&redlink=1" class="new" title="Babilonska astronomija (stran ne obstaja)">babilonska astronomija</a></li> <li><a href="/w/index.php?title=Egip%C4%8Danska_astronomija&action=edit&redlink=1" class="new" title="Egipčanska astronomija (stran ne obstaja)">egipčanska astronomija</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Vpliv na</th><td class="navbox-list navbox-odd hlist" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><a href="/w/index.php?title=Arabska_astronomija&action=edit&redlink=1" class="new" title="Arabska astronomija (stran ne obstaja)">arabsko astronomijo</a></li> <li><a href="/w/index.php?title=Zgodovina_astronomije&action=edit&redlink=1" class="new" title="Zgodovina astronomije (stran ne obstaja)">evropsko astronomijo</a></li> <li><a href="/w/index.php?title=Indijska_astronomija&action=edit&redlink=1" class="new" title="Indijska astronomija (stran ne obstaja)">indijsko astronomijo</a></li></ul> </div></td></tr></tbody></table></div> <style data-mw-deduplicate="TemplateStyles:r5914392">.mw-parser-output .portalbox{padding:0;margin:0.5em 0;display:table;box-sizing:border-box;max-width:175px;list-style:none}.mw-parser-output .portalborder{border:solid #aaa 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href="https://viaf.org/viaf/116158790627238851630">2</a></span></li> <li><span class="uid"><a rel="nofollow" class="external text" href="https://viaf.org/viaf/262142664">3</a></span></li> <li><span class="uid"><a rel="nofollow" class="external text" href="https://viaf.org/viaf/2375159478231427990001">4</a></span></li> <li><span class="uid"><a rel="nofollow" class="external text" href="https://viaf.org/viaf/520159474196927662087">5</a></span></li> <li><span class="uid"><a rel="nofollow" class="external text" href="https://viaf.org/viaf/2934159477570927990003">6</a></span></li> <li><span class="uid"><a rel="nofollow" class="external text" href="https://viaf.org/viaf/251042707">7</a></span></li> <li><span class="uid"><a rel="nofollow" class="external text" href="https://viaf.org/viaf/111145856863822920350">8</a></span></li> <li><span class="uid"><a rel="nofollow" class="external text" href="https://viaf.org/viaf/6122154387351330970008">9</a></span></li></ul></li> <li><a href="/wiki/CONOR_(identifikator)" class="mw-redirect" title="CONOR (identifikator)">CONOR (Slovenija)</a> <ul><li><span class="uid"><a rel="nofollow" class="external text" href="https://plus.cobiss.net/cobiss/si/sl/conor/198080611">1</a></span></li></ul></li> <li><a href="/wiki/CONOR_(identifikator)" class="mw-redirect" title="CONOR (identifikator)">CONOR (Srbija)</a> <ul><li><span class="uid"><a rel="nofollow" class="external text" href="https://plus.cobiss.net/cobiss/sr/sr/conor/16413031">1</a></span></li></ul></li> <li><span class="nowrap"><a rel="nofollow" class="external text" href="https://www.worldcat.org/identities/containsVIAFID/29547910">WorldCat (via VIAF)</a></span></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Narodne knjižnice</th><td class="navbox-list navbox-even" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><span class="uid"><a rel="nofollow" class="external text" href="https://authority.bibsys.no/authority/rest/authorities/html/90080448">Norveška</a></span></li> <li><span class="uid"><a rel="nofollow" class="external text" href="http://catalogo.bne.es/uhtbin/authoritybrowse.cgi?action=display&authority_id=XX874130">Španija</a></span></li> <li><span class="uid"><a rel="nofollow" class="external text" href="https://catalogue.bnf.fr/ark:/12148/cb12026533n">Francija</a> <a rel="nofollow" class="external text" href="https://data.bnf.fr/ark:/12148/cb12026533n">(data)</a></span></li> <li><span class="uid"><a rel="nofollow" class="external text" href="https://catalogo.bn.gov.ar/F/?func=direct&local_base=BNA10&doc_number=000046550">Argentina</a></span></li> <li><span class="uid"><a rel="nofollow" class="external text" href="https://cantic.bnc.cat/registre/981058523445106706">Katalonija</a></span></li> <li><span class="uid"><a rel="nofollow" class="external text" href="https://d-nb.info/gnd/118503863">Nemčija</a></span></li> <li><span class="uid"><a rel="nofollow" class="external text" href="https://opac.sbn.it/nome/MILV055118">Italija</a></span></li> <li><span class="uid"><a rel="nofollow" class="external text" href="http://uli.nli.org.il/F/?func=find-b&local_base=NLX10&find_code=UID&request=987007257863605171">Izrael</a></span></li> <li><span class="uid"><a rel="nofollow" class="external text" href="https://id.loc.gov/authorities/names/n80104666">ZDA</a></span></li> <li><span class="uid"><a rel="nofollow" class="external text" href="https://kopkatalogs.lv/F?func=direct&local_base=lnc10&doc_number=000061159&P_CON_LNG=ENG">Latvija</a></span></li> <li><span class="uid"><a rel="nofollow" class="external text" href="https://id.ndl.go.jp/auth/ndlna/00462435">Japonska</a></span></li> <li><span class="uid"><a rel="nofollow" class="external text" href="https://aleph.nkp.cz/F/?func=find-c&local_base=aut&ccl_term=ica=jn19981000134&CON_LNG=ENG">Češka republika</a></span></li> <li><span class="uid"><a rel="nofollow" class="external text" href="https://nla.gov.au/anbd.aut-an35909509">Avstralija</a></span></li> <li><span class="uid"><a rel="nofollow" class="external text" href="https://data.nlg.gr/resource/authority/record15192">Grčija</a></span></li> <li><span class="uid"><a rel="nofollow" class="external text" href="https://librarian.nl.go.kr/LI/contents/L20101000000.do?id=KAC201716865">Koreja</a></span></li> <li><span class="uid"><a rel="nofollow" class="external text" href="http://katalog.nsk.hr/F/?func=direct&doc_number=000048949&local_base=nsk10">Hrvaška</a></span></li> <li><span class="uid"><a rel="nofollow" class="external text" href="http://data.bibliotheken.nl/id/thes/p069646635">Nizozemska</a></span></li> <li><span class="uid"><a rel="nofollow" class="external text" href="http://mak.bn.org.pl/cgi-bin/KHW/makwww.exe?BM=1&NU=1&IM=4&WI=9810541676205606">Poljska</a></span></li> <li><span class="uid"><a rel="nofollow" class="external text" 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text" href="https://www.deutsche-biographie.de/pnd118503863.html?language=en">Nemčija</a></span></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Znanstvene podatkovne baze</th><td class="navbox-list navbox-odd" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><span class="uid"><a rel="nofollow" class="external text" href="https://ci.nii.ac.jp/author/DA01926703?l=en">CiNii (Japonska)</a></span></li> <li><span class="uid"><a rel="nofollow" class="external text" href="https://mathscinet.ams.org/mathscinet/MRAuthorID/223594">MathSciNet</a></span></li> <li><span class="uid"><a rel="nofollow" class="external text" href="https://zbmath.org/authors/?q=ai:archimedes.">zbMATH</a></span></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Drugo</th><td class="navbox-list navbox-even" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><span class="uid"><a rel="nofollow" class="external text" href="http://id.worldcat.org/fast/59242/">Faceted Application of Subject Terminology</a></span></li> <li><a href="/wiki/RERO_(identifikator)" class="mw-redirect" title="RERO (identifikator)">RERO (Švica)</a> <ul><li><span class="uid"><a rel="nofollow" class="external text" href="http://data.rero.ch/02-A002936389">1</a></span></li></ul></li> <li><span class="uid"><a rel="nofollow" class="external text" href="https://snaccooperative.org/ark:/99166/w66m3rzp">Social Networks and Archival Context</a></span></li> <li><a href="/wiki/SUDOC_(identifikator)" class="mw-redirect" title="SUDOC (identifikator)">SUDOC (Francija)</a> <ul><li><span class="uid"><a rel="nofollow" class="external text" href="https://www.idref.fr/02842784X">1</a></span></li></ul></li> <li><a href="/wiki/Trove_(identifikator)" class="mw-redirect" title="Trove (identifikator)">Trove (Avstralija)</a> <ul><li><span class="uid"><a rel="nofollow" class="external text" href="https://trove.nla.gov.au/people/1141648">1</a></span></li></ul></li></ul> </div></td></tr></tbody></table></div> <p class="mw-empty-elt"> </p> <!-- NewPP limit report Parsed by mw‐web.eqiad.main‐5d4fd57447‐5hn48 Cached time: 20241125212938 Cache expiry: 2592000 Reduced expiry: false Complications: [show‐toc] CPU time usage: 1.249 seconds Real time usage: 2.097 seconds Preprocessor visited node count: 5460/1000000 Post‐expand include size: 121509/2097152 bytes Template argument size: 10644/2097152 bytes Highest expansion depth: 20/100 Expensive parser function count: 53/500 Unstrip recursion depth: 1/20 Unstrip post‐expand size: 96331/5000000 bytes Lua time usage: 0.772/10.000 seconds Lua memory usage: 31283991/52428800 bytes Number of Wikibase entities loaded: 16/400 --> <!-- Transclusion expansion time report (%,ms,calls,template) 100.00% 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