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Evklidska geometrija - Wikipedija, prosta enciklopedija
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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-Evklidovi_Elementi" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Evklidovi_Elementi"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Evklidovi <i>Elementi</i></span> </div> </a> <ul id="toc-Evklidovi_Elementi-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Hilbertovi_aksiomi" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Hilbertovi_aksiomi"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Hilbertovi aksiomi</span> </div> </a> <ul id="toc-Hilbertovi_aksiomi-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Analitična_geometrija" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Analitična_geometrija"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Analitična geometrija</span> </div> </a> <ul id="toc-Analitična_geometrija-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">4</span> <span>Glej tudi</span> </div> </a> <ul id="toc-Glej_tudi-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">5</span> <span>Zunanje povezave</span> </div> </a> <ul id="toc-Zunanje_povezave-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">6</span> <span>Viri</span> </div> </a> <ul id="toc-Viri-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">Evklidska geometrija</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 83 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-83" 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">83 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/Euklidiese_meetkunde" title="Euklidiese meetkunde – afrikanščina" lang="af" hreflang="af" data-title="Euklidiese meetkunde" data-language-autonym="Afrikaans" data-language-local-name="afrikanščina" class="interlanguage-link-target"><span>Afrikaans</span></a></li><li class="interlanguage-link interwiki-am mw-list-item"><a href="https://am.wikipedia.org/wiki/%E1%8B%A9%E1%8A%AD%E1%88%8A%E1%8B%B3%E1%8B%8A_%E1%8C%82%E1%8B%8E%E1%88%9C%E1%89%B5%E1%88%AA" title="ዩክሊዳዊ ጂዎሜትሪ – amharščina" lang="am" hreflang="am" data-title="ዩክሊዳዊ ጂዎሜትሪ" data-language-autonym="አማርኛ" data-language-local-name="amharščina" class="interlanguage-link-target"><span>አማርኛ</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D9%87%D9%86%D8%AF%D8%B3%D8%A9_%D8%A5%D9%82%D9%84%D9%8A%D8%AF%D9%8A%D8%A9" title="هندسة إقليدية – arabščina" lang="ar" hreflang="ar" data-title="هندسة إقليدية" data-language-autonym="العربية" data-language-local-name="arabščina" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://ast.wikipedia.org/wiki/Xeometr%C3%ADa_eucl%C3%ADdea" title="Xeometría euclídea – asturijščina" lang="ast" hreflang="ast" data-title="Xeometría euclídea" data-language-autonym="Asturianu" data-language-local-name="asturijščina" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/Evklid_h%C9%99nd%C9%99s%C9%99si" title="Evklid həndəsəsi – azerbajdžanščina" lang="az" hreflang="az" data-title="Evklid həndəsəsi" data-language-autonym="Azərbaycanca" data-language-local-name="azerbajdžanščina" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-ba mw-list-item"><a href="https://ba.wikipedia.org/wiki/%D0%95%D0%B2%D0%BA%D0%BB%D0%B8%D0%B4_%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%8F%D2%BB%D1%8B" title="Евклид геометрияһы – baškirščina" lang="ba" hreflang="ba" data-title="Евклид геометрияһы" data-language-autonym="Башҡортса" data-language-local-name="baškirščina" class="interlanguage-link-target"><span>Башҡортса</span></a></li><li class="interlanguage-link interwiki-bcl mw-list-item"><a href="https://bcl.wikipedia.org/wiki/Euclidean_geometry" title="Euclidean geometry – Central Bikol" lang="bcl" hreflang="bcl" data-title="Euclidean geometry" 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%AD%D1%9E%D0%BA%D0%BB%D1%96%D0%B4%D0%B0%D0%B2%D0%B0_%D0%B3%D0%B5%D0%B0%D0%BC%D0%B5%D1%82%D1%80%D1%8B%D1%8F" title="Эўклідава геаметрыя – beloruščina" lang="be" hreflang="be" data-title="Эўклідава геаметрыя" 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%AD%D1%9E%D0%BA%D0%BB%D1%96%D0%B4%D0%B0%D0%B2%D0%B0_%D0%B3%D0%B5%D0%B0%D0%BC%D1%8D%D1%82%D1%80%D1%8B%D1%8F" title="Эўклідава геамэтрыя – Belarusian (Taraškievica orthography)" lang="be-tarask" hreflang="be-tarask" data-title="Эўклідава геамэтрыя" 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-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%95%D0%B2%D0%BA%D0%BB%D0%B8%D0%B4%D0%BE%D0%B2%D0%B0_%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%8F" title="Евклидова геометрия – bolgarščina" lang="bg" hreflang="bg" data-title="Евклидова геометрия" data-language-autonym="Български" data-language-local-name="bolgarščina" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%87%E0%A6%89%E0%A6%95%E0%A7%8D%E0%A6%B2%E0%A6%BF%E0%A6%A1%E0%A7%80%E0%A6%AF%E0%A6%BC_%E0%A6%9C%E0%A7%8D%E0%A6%AF%E0%A6%BE%E0%A6%AE%E0%A6%BF%E0%A6%A4%E0%A6%BF" title="ইউক্লিডীয় জ্যামিতি – bengalščina" lang="bn" hreflang="bn" data-title="ইউক্লিডীয় জ্যামিতি" data-language-autonym="বাংলা" data-language-local-name="bengalščina" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Geometria_euclidiana" title="Geometria euclidiana – katalonščina" lang="ca" hreflang="ca" data-title="Geometria euclidiana" data-language-autonym="Català" data-language-local-name="katalonščina" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%D8%A6%DB%95%D9%86%D8%AF%D8%A7%D8%B2%DB%95%DB%8C_%D8%A6%DB%8C%D9%82%D9%84%DB%8C%D8%AF%D8%B3%DB%8C" title="ئەندازەی ئیقلیدسی – osrednja kurdščina" lang="ckb" hreflang="ckb" data-title="ئەندازەی ئیقلیدسی" data-language-autonym="کوردی" data-language-local-name="osrednja kurdščina" class="interlanguage-link-target"><span>کوردی</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Eukleidovsk%C3%A1_geometrie" title="Eukleidovská geometrie – češčina" lang="cs" hreflang="cs" data-title="Eukleidovská geometrie" 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%95%D0%B2%D0%BA%D0%BB%D0%B8%D0%B4_%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D0%B9%C4%95" title="Евклид геометрийĕ – čuvaščina" lang="cv" hreflang="cv" data-title="Евклид геометрийĕ" 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/Geometreg_Euclidaidd" title="Geometreg Euclidaidd – valižanščina" lang="cy" hreflang="cy" data-title="Geometreg Euclidaidd" 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/Euklidisk_geometri" title="Euklidisk geometri – danščina" lang="da" hreflang="da" data-title="Euklidisk geometri" 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/Euklidische_Geometrie" title="Euklidische Geometrie – nemščina" lang="de" hreflang="de" data-title="Euklidische Geometrie" data-language-autonym="Deutsch" data-language-local-name="nemščina" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%95%CF%85%CE%BA%CE%BB%CE%B5%CE%AF%CE%B4%CE%B5%CE%B9%CE%B1_%CE%B3%CE%B5%CF%89%CE%BC%CE%B5%CF%84%CF%81%CE%AF%CE%B1" title="Ευκλείδεια γεωμετρία – grščina" lang="el" hreflang="el" data-title="Ευκλείδεια γεωμετρία" data-language-autonym="Ελληνικά" data-language-local-name="grščina" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Euclidean_geometry" title="Euclidean geometry – angleščina" lang="en" hreflang="en" data-title="Euclidean geometry" 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/E%C5%ADklida_geometrio" title="Eŭklida geometrio – esperanto" lang="eo" hreflang="eo" data-title="Eŭklida geometrio" data-language-autonym="Esperanto" data-language-local-name="esperanto" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Geometr%C3%ADa_euclidiana" title="Geometría euclidiana – španščina" lang="es" hreflang="es" data-title="Geometría euclidiana" 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/Eukleidese_geomeetria" title="Eukleidese geomeetria – estonščina" lang="et" hreflang="et" data-title="Eukleidese geomeetria" 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/Geometria_euklidear" title="Geometria euklidear – baskovščina" lang="eu" hreflang="eu" data-title="Geometria euklidear" data-language-autonym="Euskara" data-language-local-name="baskovščina" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D9%87%D9%86%D8%AF%D8%B3%D9%87_%D8%A7%D9%82%D9%84%DB%8C%D8%AF%D8%B3%DB%8C" title="هندسه اقلیدسی – perzijščina" lang="fa" hreflang="fa" data-title="هندسه اقلیدسی" 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/Euklidinen_geometria" title="Euklidinen geometria – finščina" lang="fi" hreflang="fi" data-title="Euklidinen geometria" data-language-autonym="Suomi" data-language-local-name="finščina" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fr badge-Q17437798 badge-goodarticle mw-list-item" title="dober članek"><a href="https://fr.wikipedia.org/wiki/G%C3%A9om%C3%A9trie_euclidienne" title="Géométrie euclidienne – francoščina" lang="fr" hreflang="fr" data-title="Géométrie euclidienne" data-language-autonym="Français" data-language-local-name="francoščina" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Xeometr%C3%ADa_euclidiana" title="Xeometría euclidiana – galicijščina" lang="gl" hreflang="gl" data-title="Xeometría euclidiana" data-language-autonym="Galego" data-language-local-name="galicijščina" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-gu mw-list-item"><a href="https://gu.wikipedia.org/wiki/%E0%AA%AF%E0%AB%81%E0%AA%95%E0%AB%8D%E0%AA%B2%E0%AA%BF%E0%AA%A1%E0%AA%BF%E0%AA%AF%E0%AA%A8_%E0%AA%AD%E0%AB%82%E0%AA%AE%E0%AA%BF%E0%AA%A4%E0%AA%BF" title="યુક્લિડિયન ભૂમિતિ – gudžaratščina" lang="gu" hreflang="gu" data-title="યુક્લિડિયન ભૂમિતિ" data-language-autonym="ગુજરાતી" data-language-local-name="gudžaratščina" class="interlanguage-link-target"><span>ગુજરાતી</span></a></li><li class="interlanguage-link interwiki-hak mw-list-item"><a href="https://hak.wikipedia.org/wiki/Euclid_K%C3%AD-h%C3%B2" title="Euclid Kí-hò – Hakka Chinese" lang="hak" hreflang="hak" data-title="Euclid Kí-hò" 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%92%D7%90%D7%95%D7%9E%D7%98%D7%A8%D7%99%D7%94_%D7%90%D7%95%D7%A7%D7%9C%D7%99%D7%93%D7%99%D7%AA" title="גאומטריה אוקלידית – hebrejščina" lang="he" hreflang="he" data-title="גאומטריה אוקלידית" 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%AF%E0%A5%82%E0%A4%95%E0%A5%8D%E0%A4%B2%E0%A4%BF%E0%A4%A1%E0%A5%80%E0%A4%AF_%E0%A4%9C%E0%A5%8D%E0%A4%AF%E0%A4%BE%E0%A4%AE%E0%A4%BF%E0%A4%A4%E0%A4%BF" title="यूक्लिडीय ज्यामिति – hindijščina" lang="hi" hreflang="hi" data-title="यूक्लिडीय ज्यामिति" data-language-autonym="हिन्दी" data-language-local-name="hindijščina" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Euklidska_geometrija" title="Euklidska geometrija – hrvaščina" lang="hr" hreflang="hr" data-title="Euklidska geometrija" data-language-autonym="Hrvatski" data-language-local-name="hrvaščina" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Euklideszi_geometria" title="Euklideszi geometria – madžarščina" lang="hu" hreflang="hu" data-title="Euklideszi geometria" 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%B7%D5%BE%D5%AF%D5%AC%D5%AB%D5%A4%D5%A5%D5%BD%D5%B5%D5%A1%D5%B6_%D5%A5%D6%80%D5%AF%D6%80%D5%A1%D5%B9%D5%A1%D6%83%D5%B8%D6%82%D5%A9%D5%B5%D5%B8%D6%82%D5%B6" title="Էվկլիդեսյան երկրաչափություն – armenščina" lang="hy" hreflang="hy" data-title="Էվկլիդեսյան երկրաչափություն" data-language-autonym="Հայերեն" data-language-local-name="armenščina" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Geometri_Euklides" title="Geometri Euklides – indonezijščina" lang="id" hreflang="id" data-title="Geometri Euklides" 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-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Geometria_euclidea" title="Geometria euclidea – italijanščina" lang="it" hreflang="it" data-title="Geometria euclidea" data-language-autonym="Italiano" data-language-local-name="italijanščina" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E3%83%A6%E3%83%BC%E3%82%AF%E3%83%AA%E3%83%83%E3%83%89%E5%B9%BE%E4%BD%95%E5%AD%A6" title="ユークリッド幾何学 – japonščina" lang="ja" hreflang="ja" data-title="ユークリッド幾何学" 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-jbo mw-list-item"><a href="https://jbo.wikipedia.org/wiki/euklidi_tamcmaci" title="euklidi tamcmaci – lojban" lang="jbo" hreflang="jbo" data-title="euklidi tamcmaci" data-language-autonym="La .lojban." data-language-local-name="lojban" class="interlanguage-link-target"><span>La .lojban.</span></a></li><li class="interlanguage-link interwiki-ki mw-list-item"><a href="https://ki.wikipedia.org/wiki/Euclidean_Geometry" title="Euclidean Geometry – kikujščina" lang="ki" hreflang="ki" data-title="Euclidean Geometry" data-language-autonym="Gĩkũyũ" data-language-local-name="kikujščina" class="interlanguage-link-target"><span>Gĩkũyũ</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%95%D0%B2%D0%BA%D0%BB%D0%B8%D0%B4%D1%82%D1%96%D0%BA_%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%8F" title="Евклидтік геометрия – kazaščina" lang="kk" hreflang="kk" data-title="Евклидтік геометрия" 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%AF%E0%B3%82%E0%B2%95%E0%B3%8D%E0%B2%B2%E0%B2%BF%E0%B2%A1%E0%B3%80%E0%B2%AF_%E0%B2%9C%E0%B3%8D%E0%B2%AF%E0%B2%BE%E0%B2%AE%E0%B2%BF%E0%B2%A4%E0%B2%BF" title="ಯೂಕ್ಲಿಡೀಯ ಜ್ಯಾಮಿತಿ – kanareščina" lang="kn" hreflang="kn" data-title="ಯೂಕ್ಲಿಡೀಯ ಜ್ಯಾಮಿತಿ" data-language-autonym="ಕನ್ನಡ" data-language-local-name="kanareščina" class="interlanguage-link-target"><span>ಕನ್ನಡ</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EC%9C%A0%ED%81%B4%EB%A6%AC%EB%93%9C_%EA%B8%B0%ED%95%98%ED%95%99" title="유클리드 기하학 – korejščina" lang="ko" hreflang="ko" data-title="유클리드 기하학" data-language-autonym="한국어" data-language-local-name="korejščina" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-ky mw-list-item"><a href="https://ky.wikipedia.org/wiki/%D0%95%D0%B2%D0%BA%D0%BB%D0%B8%D0%B4_%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%8F%D1%81%D1%8B" title="Евклид геометриясы – kirgiščina" lang="ky" hreflang="ky" data-title="Евклид геометриясы" 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/Geometria_Euclidea" title="Geometria Euclidea – latinščina" lang="la" hreflang="la" data-title="Geometria Euclidea" data-language-autonym="Latina" data-language-local-name="latinščina" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-lfn mw-list-item"><a href="https://lfn.wikipedia.org/wiki/Jeometria_euclidal" title="Jeometria euclidal – Lingua Franca Nova" lang="lfn" hreflang="lfn" data-title="Jeometria euclidal" 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-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Euklidin%C4%97_geometrija" title="Euklidinė geometrija – litovščina" lang="lt" hreflang="lt" data-title="Euklidinė geometrija" 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/Eikl%C4%ABda_%C4%A3eometrija" title="Eiklīda ģeometrija – latvijščina" lang="lv" hreflang="lv" data-title="Eiklīda ģeometrija" data-language-autonym="Latviešu" data-language-local-name="latvijščina" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%95%D0%B2%D0%BA%D0%BB%D0%B8%D0%B4%D0%BE%D0%B2%D0%B0_%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%98%D0%B0" title="Евклидова геометрија – makedonščina" lang="mk" hreflang="mk" data-title="Евклидова геометрија" 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%AF%E0%B5%82%E0%B4%95%E0%B5%8D%E0%B4%B2%E0%B4%BF%E0%B4%A1%E0%B4%BF%E0%B4%AF%E0%B5%BB_%E0%B4%9C%E0%B5%8D%E0%B4%AF%E0%B4%BE%E0%B4%AE%E0%B4%BF%E0%B4%A4%E0%B4%BF" title="യൂക്ലിഡിയൻ ജ്യാമിതി – malajalamščina" lang="ml" hreflang="ml" data-title="യൂക്ലിഡിയൻ ജ്യാമിതി" 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%95%D0%B2%D0%BA%D0%BB%D0%B8%D0%B4%D0%B8%D0%B9%D0%BD_%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80" title="Евклидийн геометр – mongolščina" lang="mn" hreflang="mn" data-title="Евклидийн геометр" data-language-autonym="Монгол" data-language-local-name="mongolščina" class="interlanguage-link-target"><span>Монгол</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Geometri_Euclid" title="Geometri Euclid – malajščina" lang="ms" hreflang="ms" data-title="Geometri Euclid" 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-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Euclidische_meetkunde" title="Euclidische meetkunde – nizozemščina" lang="nl" hreflang="nl" data-title="Euclidische meetkunde" 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/Euklidsk_geometri" title="Euklidsk geometri – novonorveščina" lang="nn" hreflang="nn" data-title="Euklidsk geometri" 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/Euklidsk_geometri" title="Euklidsk geometri – knjižna norveščina" lang="nb" hreflang="nb" data-title="Euklidsk geometri" 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/Geometria_euclidiana" title="Geometria euclidiana – okcitanščina" lang="oc" hreflang="oc" data-title="Geometria euclidiana" data-language-autonym="Occitan" data-language-local-name="okcitanščina" class="interlanguage-link-target"><span>Occitan</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Geometria_euklidesowa" title="Geometria euklidesowa – poljščina" lang="pl" hreflang="pl" data-title="Geometria euklidesowa" 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/Geometr%C3%ACa_euclid%C3%A9a" title="Geometrìa euclidéa – Piedmontese" lang="pms" hreflang="pms" data-title="Geometrìa euclidéa" data-language-autonym="Piemontèis" data-language-local-name="Piedmontese" class="interlanguage-link-target"><span>Piemontèis</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Geometria_euclidiana" title="Geometria euclidiana – portugalščina" lang="pt" hreflang="pt" data-title="Geometria euclidiana" data-language-autonym="Português" data-language-local-name="portugalščina" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Geometrie_euclidian%C4%83" title="Geometrie euclidiană – romunščina" lang="ro" hreflang="ro" data-title="Geometrie euclidiană" data-language-autonym="Română" data-language-local-name="romunščina" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%95%D0%B2%D0%BA%D0%BB%D0%B8%D0%B4%D0%BE%D0%B2%D0%B0_%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%8F" title="Евклидова геометрия – ruščina" lang="ru" hreflang="ru" data-title="Евклидова геометрия" 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%95%D0%B2%D0%BA%D0%BB%D0%B8%D0%B4%D0%BE%D0%B2%D1%81%D0%BA%D0%B0_%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%8F" title="Евклидовска геометрия – Rusyn" lang="rue" hreflang="rue" data-title="Евклидовска геометрия" data-language-autonym="Русиньскый" data-language-local-name="Rusyn" class="interlanguage-link-target"><span>Русиньскый</span></a></li><li class="interlanguage-link interwiki-scn mw-list-item"><a href="https://scn.wikipedia.org/wiki/Giomitr%C3%ACa_euclidea" title="Giomitrìa euclidea – sicilijanščina" lang="scn" hreflang="scn" data-title="Giomitrìa euclidea" data-language-autonym="Sicilianu" data-language-local-name="sicilijanščina" class="interlanguage-link-target"><span>Sicilianu</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Euklidova_geometrija" title="Euklidova geometrija – srbohrvaščina" lang="sh" hreflang="sh" data-title="Euklidova geometrija" 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%BA%E0%B7%96%E0%B6%9A%E0%B7%8A%E0%B6%BD%E0%B7%92%E0%B6%A9%E0%B7%92%E0%B6%BA%E0%B7%8F%E0%B6%B1%E0%B7%94_%E0%B6%A2%E0%B7%8A%E2%80%8D%E0%B6%BA%E0%B7%8F%E0%B6%B8%E0%B7%92%E0%B6%AD%E0%B7%92%E0%B6%BA" title="යූක්ලිඩියානු ජ්යාමිතිය – sinhalščina" lang="si" hreflang="si" data-title="යූක්ලිඩියානු ජ්යාමිතිය" 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/Euclidean_geometry" title="Euclidean geometry – Simple English" lang="en-simple" hreflang="en-simple" data-title="Euclidean geometry" 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/Euklidovsk%C3%A1_geometria" title="Euklidovská geometria – slovaščina" lang="sk" hreflang="sk" data-title="Euklidovská geometria" data-language-autonym="Slovenčina" data-language-local-name="slovaščina" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://sq.wikipedia.org/wiki/Gjeometria_euklidiane" title="Gjeometria euklidiane – albanščina" lang="sq" hreflang="sq" data-title="Gjeometria euklidiane" 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%95%D1%83%D0%BA%D0%BB%D0%B8%D0%B4%D0%BE%D0%B2%D0%B0_%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%98%D0%B0" title="Еуклидова геометрија – srbščina" lang="sr" hreflang="sr" data-title="Еуклидова геометрија" 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-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Euklidisk_geometri" title="Euklidisk geometri – švedščina" lang="sv" hreflang="sv" data-title="Euklidisk geometri" data-language-autonym="Svenska" data-language-local-name="švedščina" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%AF%E0%AF%82%E0%AE%95%E0%AF%8D%E0%AE%B3%E0%AF%80%E0%AE%9F%E0%AF%8D_%E0%AE%B5%E0%AE%9F%E0%AE%BF%E0%AE%B5%E0%AE%BF%E0%AE%AF%E0%AE%B2%E0%AF%8D" title="யூக்ளீட் வடிவியல் – tamilščina" lang="ta" hreflang="ta" data-title="யூக்ளீட் வடிவியல்" data-language-autonym="தமிழ்" data-language-local-name="tamilščina" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-tg mw-list-item"><a href="https://tg.wikipedia.org/wiki/%D2%B2%D0%B0%D0%BD%D0%B4%D0%B0%D1%81%D0%B0%D0%B8_%D1%83%D2%9B%D0%BB%D0%B8%D0%B4%D1%83%D1%81%D3%A3" title="Ҳандасаи уқлидусӣ – tadžiščina" lang="tg" hreflang="tg" data-title="Ҳандасаи уқлидусӣ" data-language-autonym="Тоҷикӣ" data-language-local-name="tadžiščina" class="interlanguage-link-target"><span>Тоҷикӣ</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B9%80%E0%B8%A3%E0%B8%82%E0%B8%B2%E0%B8%84%E0%B8%93%E0%B8%B4%E0%B8%95%E0%B9%81%E0%B8%9A%E0%B8%9A%E0%B8%A2%E0%B8%B8%E0%B8%84%E0%B8%A5%E0%B8%B4%E0%B8%94" title="เรขาคณิตแบบยุคลิด – tajščina" lang="th" hreflang="th" data-title="เรขาคณิตแบบยุคลิด" data-language-autonym="ไทย" data-language-local-name="tajščina" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/%C3%96klid_geometrisi" title="Öklid geometrisi – turščina" lang="tr" hreflang="tr" data-title="Öklid geometrisi" 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%95%D0%B2%D0%BA%D0%BB%D0%B8%D0%B4%D1%87%D0%B0_%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%8F" title="Евклидча геометрия – tatarščina" lang="tt" hreflang="tt" data-title="Евклидча геометрия" 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-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%95%D0%B2%D0%BA%D0%BB%D1%96%D0%B4%D0%BE%D0%B2%D0%B0_%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D1%96%D1%8F" title="Евклідова геометрія – ukrajinščina" lang="uk" hreflang="uk" data-title="Евклідова геометрія" data-language-autonym="Українська" data-language-local-name="ukrajinščina" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Yevklid_geometriyasi" title="Yevklid geometriyasi – uzbeščina" lang="uz" hreflang="uz" data-title="Yevklid geometriyasi" 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-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/H%C3%ACnh_h%E1%BB%8Dc_Euclid" title="Hình học Euclid – vietnamščina" lang="vi" hreflang="vi" data-title="Hình học Euclid" 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-wuu mw-list-item"><a href="https://wuu.wikipedia.org/wiki/%E6%AC%A7%E5%87%A0%E9%87%8C%E5%BE%97%E5%87%A0%E4%BD%95" title="欧几里得几何 – wu-kitajščina" lang="wuu" hreflang="wuu" data-title="欧几里得几何" 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-zgh mw-list-item"><a href="https://zgh.wikipedia.org/wiki/%E2%B5%9C%E2%B4%B0%E2%B5%8F%E2%B5%A3%E2%B4%B3%E2%B4%B3%E2%B5%89%E2%B5%9C_%E2%B5%9C%E2%B5%93%E2%B4%BD%E2%B5%8D%E2%B5%89%E2%B4%B7%E2%B5%9C" title="ⵜⴰⵏⵣⴳⴳⵉⵜ ⵜⵓⴽⵍⵉⴷⵜ – standardni maroški tamazig" lang="zgh" hreflang="zgh" data-title="ⵜⴰⵏⵣⴳⴳⵉⵜ ⵜⵓⴽⵍⵉⴷⵜ" data-language-autonym="ⵜⴰⵎⴰⵣⵉⵖⵜ ⵜⴰⵏⴰⵡⴰⵢⵜ" data-language-local-name="standardni maroški tamazig" class="interlanguage-link-target"><span>ⵜⴰⵎⴰⵣⵉⵖⵜ ⵜⴰⵏⴰⵡⴰⵢⵜ</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E6%AC%A7%E5%87%A0%E9%87%8C%E5%BE%97%E5%87%A0%E4%BD%95" title="欧几里得几何 – kitajščina" lang="zh" hreflang="zh" data-title="欧几里得几何" 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/%E6%AD%90%E6%B0%8F%E5%B9%BE%E4%BD%95" title="歐氏幾何 – Literary Chinese" lang="lzh" hreflang="lzh" data-title="歐氏幾何" 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-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E6%AD%90%E5%B9%BE%E9%87%8C%E5%BE%97%E5%B9%BE%E4%BD%95" title="歐幾里得幾何 – kantonščina" lang="yue" hreflang="yue" data-title="歐幾里得幾何" 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/Q162886#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 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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/Evklidska_geometrija"><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=Evklidska_geometrija&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=Evklidska_geometrija&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 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href="/w/index.php?title=Evklidska_geometrija&oldid=5361938" 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=Evklidska_geometrija&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=Evklidska_geometrija&id=5361938&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%2FEvklidska_geometrija"><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%2FEvklidska_geometrija"><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=Evklidska+geometrija"><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=Evklidska_geometrija&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=Evklidska_geometrija&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 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href="mw-data:TemplateStyles:r5911137"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r5911137"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r5911137"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r5911137"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r5911137"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r5911137"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r5911137"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r5911137"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r5911137"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r5911137"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r5911137"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r5911190"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r5911137"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r5911137"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r5911137"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r5911137"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r5911137"><table class="sidebar sidebar-collapse nomobile nowraplinks plainlist" style="background:white;"><tbody><tr><th class="sidebar-title"><a href="/wiki/Geometrija" title="Geometrija">Geometrija</a></th></tr><tr><td class="sidebar-image"><span class="mw-default-size" typeof="mw:File/Frameless"><a href="/wiki/Slika:Stereographic_projection_in_3D.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/8/88/Stereographic_projection_in_3D.svg/220px-Stereographic_projection_in_3D.svg.png" decoding="async" width="220" height="162" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/88/Stereographic_projection_in_3D.svg/330px-Stereographic_projection_in_3D.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/88/Stereographic_projection_in_3D.svg/440px-Stereographic_projection_in_3D.svg.png 2x" data-file-width="870" data-file-height="639" /></a></span><div class="sidebar-caption"><a href="/wiki/Projektivna_geometrija" title="Projektivna geometrija">Projeciranje</a> <a href="/wiki/Krogla" title="Krogla">krogle</a> na <a href="/wiki/Ravnina" title="Ravnina">ravnino</a>.</div></td></tr><tr><td class="sidebar-above" style="border:none; background:#ddf;padding:0 0 0.15em;text-align:center; display:block;margin:0 1px 0.4em;"> <div class="hlist"><ul><li><a href="/w/index.php?title=Oris_geometrije&action=edit&redlink=1" class="new" title="Oris geometrije (stran ne obstaja)">Oris</a></li><li><a href="/w/index.php?title=Zgodovina_geometrije&action=edit&redlink=1" class="new" title="Zgodovina geometrije (stran ne obstaja)">Zgodovina</a></li></ul></div></td></tr><tr><td class="sidebar-content"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="background:#ddf; text-align:center;"><a href="/w/index.php?title=Seznam_geometrijskih_podro%C4%8Dij&action=edit&redlink=1" class="new" title="Seznam geometrijskih področij (stran ne obstaja)">Veje</a></div><div class="sidebar-list-content mw-collapsible-content hlist"><div class="hlist"><ul><li><a class="mw-selflink selflink">Evklidska</a></li><li><a href="/wiki/Neevklidska_geometrija" title="Neevklidska geometrija">Neevklidska</a> (<a href="/wiki/Elipti%C4%8Dna_geometrija" title="Eliptična geometrija">Eliptična</a> (<a href="/w/index.php?title=Sferi%C4%8Dna_geometrija&action=edit&redlink=1" class="new" title="Sferična geometrija (stran ne obstaja)">Sferična</a>)</li><li><a href="/wiki/Hiperboli%C4%8Dna_geometrija" title="Hiperbolična geometrija">Hiperbolična</a>)</li><li><a href="/w/index.php?title=Nearhimedska_geometrija&action=edit&redlink=1" class="new" title="Nearhimedska geometrija (stran ne obstaja)">Nearhimedska geometrija</a></li><li><a href="/wiki/Projektivna_geometrija" title="Projektivna geometrija">Projektivna</a></li><li><a href="/wiki/Afina_geometrija" title="Afina geometrija">Afina</a></li><li><a href="/w/index.php?title=Sinteti%C4%8Dna_geometrija&action=edit&redlink=1" class="new" title="Sintetična geometrija (stran ne obstaja)">Sintetična</a></li><li><a href="/w/index.php?title=Analiti%C4%8Dna_geometrija&action=edit&redlink=1" class="new" title="Analitična geometrija (stran ne obstaja)">Analitična</a></li><li><a href="/w/index.php?title=Algebrai%C4%8Dna_geometrija&action=edit&redlink=1" class="new" title="Algebraična geometrija (stran ne obstaja)">Algebraična</a> (<a href="/w/index.php?title=Aritmeti%C4%8Dna_geometrija&action=edit&redlink=1" class="new" title="Aritmetična geometrija (stran ne obstaja)">Aritmetična</a></li><li><a href="/w/index.php?title=Diofantska_geometrija&action=edit&redlink=1" class="new" title="Diofantska geometrija (stran ne obstaja)">Diofantska</a>)</li><li><a href="/w/index.php?title=Diferencialna_geometrija&action=edit&redlink=1" class="new" title="Diferencialna geometrija (stran ne obstaja)">Diferencialna</a> (<a href="/wiki/Riemannova_geometrija" class="mw-redirect" title="Riemannova geometrija">Riemannova</a></li><li><a href="/w/index.php?title=Simplekti%C4%8Dna_geometrija&action=edit&redlink=1" class="new" title="Simplektična geometrija (stran ne obstaja)">Simplektična</a></li><li><a href="/w/index.php?title=Diskretna_diferencialna_geometrija&action=edit&redlink=1" class="new" title="Diskretna diferencialna geometrija (stran ne obstaja)">Diskretna diferencialna</a>)</li><li><a href="/w/index.php?title=Kompleksna_geometrija&action=edit&redlink=1" class="new" title="Kompleksna geometrija (stran ne obstaja)">Kompleksna</a></li><li><a href="/w/index.php?title=Kon%C4%8Dna_geometrija&action=edit&redlink=1" class="new" title="Končna geometrija (stran ne obstaja)">Končna</a></li><li><a href="/w/index.php?title=Diskretna_geometrija&action=edit&redlink=1" class="new" title="Diskretna geometrija (stran ne obstaja)">Diskretna/Kombinatorična</a> (<a href="/w/index.php?title=Digitalna_geometrija&action=edit&redlink=1" class="new" title="Digitalna geometrija (stran ne obstaja)">Digitalna</a>)</li><li><a href="/w/index.php?title=Konveksna_geometrija&action=edit&redlink=1" class="new" title="Konveksna geometrija (stran ne obstaja)">Konveksna</a></li><li><a href="/wiki/Ra%C4%8Dunalni%C5%A1ka_geometrija" title="Računalniška geometrija">Računalniška</a></li><li><a href="/w/index.php?title=Fraktalna_geometrija&action=edit&redlink=1" class="new" title="Fraktalna geometrija (stran ne obstaja)">Fraktalna</a></li><li><a href="/w/index.php?title=Vpadna_geometrija&action=edit&redlink=1" class="new" title="Vpadna geometrija (stran ne obstaja)">Vpadna </a></li></ul></div></div></div></td> </tr><tr><td class="sidebar-content"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="background:#ddf; text-align:center;"><div class="hlist"><ul><li>Koncepti</li><li>Značilnosti</li></ul></div></div><div class="sidebar-list-content mw-collapsible-content hlist"><a href="/wiki/Razse%C5%BEnost" class="mw-redirect" title="Razsežnost">Razsežnost</a> <div class="hlist"><ul><li><a href="/w/index.php?title=Konstrukcija_z_ravnilom_in_%C5%A1estilom&action=edit&redlink=1" class="new" title="Konstrukcija z ravnilom in šestilom (stran ne obstaja)">Konstrukcije z ravnilom in šestilom</a></li></ul></div> <div class="hlist"><ul><li><a href="/wiki/Kot" title="Kot">Kot</a></li><li><a href="/wiki/Krivulja" title="Krivulja">Krivulja</a></li><li><a href="/wiki/Diagonala" title="Diagonala">Diagonala</a></li><li><a href="/wiki/Ortogonalnost" title="Ortogonalnost">Ortogonalnost</a> (<a href="/wiki/Pravokotnost" title="Pravokotnost">Pravokotnost</a>)</li><li><a href="/wiki/Vzporednost" title="Vzporednost">Vzporednost</a></li><li><a href="/wiki/Prese%C4%8Di%C5%A1%C4%8De" title="Presečišče">Presečišče</a></li></ul></div> <div class="hlist"><ul><li><a href="/wiki/Kongruenca_(geometrija)" class="mw-redirect" title="Kongruenca (geometrija)">Kongruenca</a></li><li><a href="/wiki/Podobnost_(geometrija)" title="Podobnost (geometrija)">Podobnost</a></li><li><a href="/wiki/Simetrija" title="Simetrija">Simetrija</a></li></ul></div></div></div></td> </tr><tr><td class="sidebar-content"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="background:#ddf; text-align:center;"><a href="/wiki/Ni%C4%8Drazse%C5%BEni_prostor" title="Ničrazsežni prostor">Ničrazsežni prostor</a></div><div class="sidebar-list-content mw-collapsible-content hlist"><div class="hlist"><ul><li><a href="/wiki/To%C4%8Dka_(geometrija)" title="Točka (geometrija)">Točka</a></li></ul></div></div></div></td> </tr><tr><td class="sidebar-content"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="background:#ddf; text-align:center;"><a href="/w/index.php?title=Enorazse%C5%BEni_prostor&action=edit&redlink=1" class="new" title="Enorazsežni prostor (stran ne obstaja)">Enorazsežni prostor</a></div><div class="sidebar-list-content mw-collapsible-content hlist"><div class="hlist"><ul><li><a href="/wiki/Premica" title="Premica">Premica</a> (<a href="/wiki/Daljica" title="Daljica">Daljica</a></li><li><a href="/wiki/Poltrak" title="Poltrak">Poltrak</a>)</li><li><a href="/wiki/Dol%C5%BEina" title="Dolžina">Dolžina</a></li></ul></div></div></div></td> </tr><tr><td class="sidebar-content"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="background:#ddf; text-align:center;"><a href="/w/index.php?title=Dvorazse%C5%BEni_prostor&action=edit&redlink=1" class="new" title="Dvorazsežni prostor (stran ne obstaja)">Dvorazsežni prostor</a></div><div class="sidebar-list-content mw-collapsible-content hlist" style="padding-bottom:0;"><table class="sidebar nomobile nowraplinks" style="border-collapse:collapse; border-spacing:0px; border:none; width:100%; margin:0px; font-size:100%; clear:none; float:none"><tbody><tr><td class="sidebar-content" style="padding:0.2em 0.4em 0.6em;"> <div class="hlist"><ul><li><a href="/wiki/Ravnina" title="Ravnina">Ravnina</a></li><li><a href="/wiki/Plo%C5%A1%C4%8Dina" title="Ploščina">Ploščina</a></li><li><a href="/wiki/Ve%C4%8Dkotnik" class="mw-redirect" title="Večkotnik">Večkotnik</a></li></ul></div></td> </tr><tr><th class="sidebar-heading" style="background:#e6e6ff; font-weight:normal;"> <a href="/wiki/Trikotnik" title="Trikotnik">Trikotnik</a></th></tr><tr><td class="sidebar-content" style="padding:0.2em 0.4em 0.6em;"> <div class="hlist"><ul><li><a href="/wiki/Vi%C5%A1ina_(trikotnik)" class="mw-redirect" title="Višina (trikotnik)">Višina</a></li><li><a href="/wiki/Hipotenuza" title="Hipotenuza">Hipotenuza</a></li><li><a href="/wiki/Pitagorov_izrek" title="Pitagorov izrek">Pitagorov izrek</a></li></ul></div></td> </tr><tr><th class="sidebar-heading" style="background:#e6e6ff; font-weight:normal;"> <a href="/wiki/Paralelogram" title="Paralelogram">Paralelogram</a></th></tr><tr><td class="sidebar-content" style="padding:0.2em 0.4em 0.6em;"> <div class="hlist"><ul><li><a href="/wiki/Kvadrat_(geometrija)" title="Kvadrat (geometrija)">Kvadrat</a></li><li><a href="/wiki/Pravokotnik" title="Pravokotnik">Pravokotnik</a></li><li><a href="/wiki/Romb" title="Romb">Romb</a></li><li><a href="/wiki/Romboid" title="Romboid">Romboid</a></li></ul></div></td> </tr><tr><th class="sidebar-heading" style="background:#e6e6ff; font-weight:normal;"> <a href="/wiki/%C5%A0tirikotnik" title="Štirikotnik">Štirikotnik</a></th></tr><tr><td class="sidebar-content" style="padding:0.2em 0.4em 0.6em;"> <div class="hlist"><ul><li><a href="/wiki/Trapezoid" title="Trapezoid">Trapezoid</a></li><li><a href="/wiki/Deltoid" title="Deltoid">Deltoid</a></li></ul></div></td> </tr><tr><th class="sidebar-heading" style="background:#e6e6ff; font-weight:normal;"> <a href="/wiki/Krog" title="Krog">Krog</a></th></tr><tr><td class="sidebar-content" style="padding:0.2em 0.4em 0.6em;"> <div class="hlist"><ul><li><a href="/wiki/Premer" title="Premer">Premer</a></li><li><a href="/wiki/Obseg" title="Obseg">Obseg</a></li><li><a href="/w/index.php?title=Plo%C5%A1%C4%8Dina_kroga&action=edit&redlink=1" class="new" title="Ploščina kroga (stran ne obstaja)">Ploščina</a></li></ul></div></td> </tr></tbody></table></div></div></td> </tr><tr><td class="sidebar-content"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="background:#ddf; text-align:center;"><a href="/wiki/Trirazse%C5%BEni_prostor" title="Trirazsežni prostor">Trirazsežni prostor</a></div><div class="sidebar-list-content mw-collapsible-content hlist"><div class="hlist"><ul><li><a href="/wiki/Prostornina" title="Prostornina">Prostornina</a></li></ul></div> <div class="hlist"><ul><li><a href="/wiki/Kocka" title="Kocka">Kocka</a> (<a href="/wiki/Kuboid" class="mw-redirect" title="Kuboid">Kuboid</a>)</li><li><a href="/wiki/Valj" title="Valj">Valj</a></li><li><a href="/wiki/Piramida_(geometrija)" title="Piramida (geometrija)">Piramida</a></li><li><a href="/wiki/Krogla" title="Krogla">Krogla</a></li></ul></div></div></div></td> </tr><tr><td class="sidebar-content"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="background:#ddf; text-align:center;"><a href="/w/index.php?title=%C5%A0tirirazse%C5%BEni_prostor&action=edit&redlink=1" class="new" title="Štirirazsežni prostor (stran ne obstaja)">Štiri</a>- / večrazsežni prostor</div><div class="sidebar-list-content mw-collapsible-content hlist"><div class="hlist"><ul><li><a href="/wiki/Teserakt" title="Teserakt">Teserakt</a></li><li><a href="/w/index.php?title=Hipersfera&action=edit&redlink=1" class="new" title="Hipersfera (stran ne obstaja)">Hipersfera</a></li></ul></div></div></div></td> </tr><tr><th class="sidebar-heading" style="padding-bottom:0.2em;"> <a href="/w/index.php?title=Seznam_geometristov&action=edit&redlink=1" class="new" title="Seznam geometristov (stran ne obstaja)">Geometristi</a></th></tr><tr><td class="sidebar-content"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="background:#ddf; text-align:center;">po imenu</div><div class="sidebar-list-content mw-collapsible-content hlist"><div class="hlist"><ul><li><a href="/w/index.php?title=Jasuaki_Aida&action=edit&redlink=1" class="new" title="Jasuaki Aida (stran ne obstaja)">Aida</a></li><li><a href="/w/index.php?title=Arjabhata_I.&action=edit&redlink=1" class="new" title="Arjabhata I. (stran ne obstaja)">Arjabhata I.</a></li><li><a href="/w/index.php?title=Ahmes&action=edit&redlink=1" class="new" title="Ahmes (stran ne obstaja)">Ahmes</a></li><li><a href="/wiki/Alhacen" title="Alhacen">Alhacen</a></li><li><a href="/wiki/Apolonij" title="Apolonij">Apolonij</a></li><li><a href="/wiki/Arhimed" title="Arhimed">Arhimed</a></li><li><a href="/wiki/Michael_Francis_Atiyah" title="Michael Francis Atiyah">Atiyah</a></li><li><a href="/w/index.php?title=Baudhajana&action=edit&redlink=1" class="new" title="Baudhajana (stran ne obstaja)">Baudhajana</a></li><li><a href="/wiki/J%C3%A1nos_Bolyai" title="János Bolyai">Bolyai</a></li><li><a href="/wiki/Brahmagupta" title="Brahmagupta">Brahmagupta</a></li><li><a href="/w/index.php?title=%C3%89lie_Cartan&action=edit&redlink=1" class="new" title="Élie Cartan (stran ne obstaja)">Cartan</a></li><li><a href="/w/index.php?title=Harold_Scott_MacDonald_Coxeter&action=edit&redlink=1" class="new" title="Harold Scott MacDonald Coxeter (stran ne obstaja)">Coxeter</a></li><li><a href="/wiki/%C4%8Cang_Heng" class="mw-redirect" title="Čang Heng">Čang</a></li><li><a href="/wiki/Ren%C3%A9_Descartes" title="René Descartes">Descartes</a></li><li><a href="/wiki/Evklid" title="Evklid">Evklid</a></li><li><a href="/wiki/Leonhard_Euler" title="Leonhard Euler">Euler</a></li><li><a href="/wiki/Carl_Friedrich_Gauss" title="Carl Friedrich Gauss">Gauss</a></li><li><a href="/w/index.php?title=Mihail_Leonidovi%C4%8D_Gromov&action=edit&redlink=1" class="new" title="Mihail Leonidovič Gromov (stran ne obstaja)">Gromov</a></li><li><a href="/wiki/Omar_Hajam" title="Omar Hajam">Hajam</a></li><li><a href="/wiki/David_Hilbert" title="David Hilbert">Hilbert</a></li><li><a href="/w/index.php?title=Jye%E1%B9%A3%E1%B9%ADhadeva&action=edit&redlink=1" class="new" title="Jyeṣṭhadeva (stran ne obstaja)">Jyeṣṭhadeva</a></li><li><a href="/w/index.php?title=K%C4%81ty%C4%81yana&action=edit&redlink=1" class="new" title="Kātyāyana (stran ne obstaja)">Kātyāyana</a></li><li><a href="/wiki/Felix_Klein" class="mw-redirect" title="Felix Klein">Klein</a></li><li><a href="/wiki/Nikolaj_Ivanovi%C4%8D_Loba%C4%8Devski" title="Nikolaj Ivanovič Lobačevski">Lobačevski</a></li><li><a href="/w/index.php?title=Manava&action=edit&redlink=1" class="new" title="Manava (stran ne obstaja)">Manava</a></li><li><a href="/wiki/Hermann_Minkowski" title="Hermann Minkowski">Minkowski</a></li><li><a href="/w/index.php?title=Mingatu&action=edit&redlink=1" class="new" title="Mingatu (stran ne obstaja)">Mingatu</a></li><li><a href="/wiki/Blaise_Pascal" title="Blaise Pascal">Pascal</a></li><li><a href="/wiki/Pitagora" title="Pitagora">Pitagora</a></li><li><a href="/w/index.php?title=Parame%C5%A1vara&action=edit&redlink=1" class="new" title="Paramešvara (stran ne obstaja)">Paramešvara</a></li><li><a href="/wiki/Henri_Poincar%C3%A9" title="Henri Poincaré">Poincaré</a></li><li><a href="/wiki/Bernhard_Riemann" title="Bernhard Riemann">Riemann</a></li><li><a href="/w/index.php?title=Sakabe_K%C5%8Dhan&action=edit&redlink=1" class="new" title="Sakabe Kōhan (stran ne obstaja)">Sakabe</a></li><li><a href="/w/index.php?title=Sijzi&action=edit&redlink=1" class="new" title="Sijzi (stran ne obstaja)">Sijzi</a></li><li><a href="/wiki/Nasir_at-Tusi" class="mw-redirect" title="Nasir at-Tusi">at-Tusi</a></li><li><a href="/w/index.php?title=Oswald_Veblen&action=edit&redlink=1" class="new" title="Oswald Veblen (stran ne obstaja)">Veblen</a></li><li><a href="/w/index.php?title=Virasena&action=edit&redlink=1" class="new" title="Virasena (stran ne obstaja)">Virasena</a></li><li><a href="/w/index.php?title=Yang_Hui&action=edit&redlink=1" class="new" title="Yang Hui (stran ne obstaja)">Yang Hui</a></li><li><a href="/w/index.php?title=Ibn_al-Yasamin&action=edit&redlink=1" class="new" title="Ibn al-Yasamin (stran ne obstaja)">al-Yasamin</a></li><li><a href="/w/index.php?title=Seznam_geometristov&action=edit&redlink=1" class="new" title="Seznam geometristov (stran ne obstaja)">seznam geometristov</a></li></ul></div></div></div></td> </tr><tr><td class="sidebar-content"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="background:#ddf; text-align:center;">po obdobju</div><div class="sidebar-list-content mw-collapsible-content hlist" style="padding-bottom:0;"><table class="sidebar nomobile nowraplinks" style="border-collapse:collapse; border-spacing:0px; border:none; width:100%; margin:0px; font-size:100%; clear:none; float:none"><tbody><tr><th class="sidebar-heading" style="background:#e6e6ff; font-weight:normal;"> <a href="/wiki/Pred_na%C5%A1im_%C5%A1tetjem" class="mw-redirect" title="Pred našim štetjem">pr. n. št.</a></th></tr><tr><td class="sidebar-content" style="padding:0.2em 0.4em 0.6em;"> <div class="hlist"><ul><li><a href="/w/index.php?title=Ahmes&action=edit&redlink=1" class="new" title="Ahmes (stran ne obstaja)">Ahmes</a></li><li><a href="/w/index.php?title=Baudhajana&action=edit&redlink=1" class="new" title="Baudhajana (stran ne obstaja)">Baudhajana</a></li><li><a href="/w/index.php?title=Manava&action=edit&redlink=1" class="new" title="Manava (stran ne obstaja)">Manava</a></li><li><a href="/wiki/Pitagora" title="Pitagora">Pitagora</a></li><li><a href="/wiki/Evklid" title="Evklid">Evklid</a></li><li><a href="/wiki/Arhimed" title="Arhimed">Arhimed</a></li><li><a href="/wiki/Apolonij" title="Apolonij">Apolonij</a></li></ul></div></td> </tr><tr><th class="sidebar-heading" style="background:#e6e6ff; font-weight:normal;"> 1–1400</th></tr><tr><td class="sidebar-content" style="padding:0.2em 0.4em 0.6em;"> <div class="hlist"><ul><li><a href="/wiki/%C4%8Cang_Heng" class="mw-redirect" title="Čang Heng">Čang</a></li><li><a href="/w/index.php?title=K%C4%81ty%C4%81yana&action=edit&redlink=1" class="new" title="Kātyāyana (stran ne obstaja)">Kātyāyana</a></li><li><a href="/w/index.php?title=Arjabhata_I.&action=edit&redlink=1" class="new" title="Arjabhata I. (stran ne obstaja)">Arjabhata I.</a></li><li><a href="/wiki/Brahmagupta" title="Brahmagupta">Brahmagupta</a></li><li><a href="/w/index.php?title=Virasena&action=edit&redlink=1" class="new" title="Virasena (stran ne obstaja)">Virasena</a></li><li><a href="/wiki/Alhacen" title="Alhacen">Alhacen</a></li><li><a href="/w/index.php?title=Sijzi&action=edit&redlink=1" class="new" title="Sijzi (stran ne obstaja)">Sijzi</a></li><li><a href="/wiki/Omar_Hajam" title="Omar Hajam">Hajam</a></li><li><a href="/w/index.php?title=Ibn_al-Jasamin&action=edit&redlink=1" class="new" title="Ibn al-Jasamin (stran ne obstaja)">al-Jasamin</a></li><li><a href="/wiki/Nasir_at-Tusi" class="mw-redirect" title="Nasir at-Tusi">at-Tusi</a></li><li><a href="/w/index.php?title=Yang_Hui&action=edit&redlink=1" class="new" title="Yang Hui (stran ne obstaja)">Yang Hui</a></li><li><a href="/w/index.php?title=Parame%C5%A1vara&action=edit&redlink=1" class="new" title="Paramešvara (stran ne obstaja)">Paramešvara</a></li></ul></div></td> </tr><tr><th class="sidebar-heading" style="background:#e6e6ff; font-weight:normal;"> 1400–1700</th></tr><tr><td class="sidebar-content" style="padding:0.2em 0.4em 0.6em;"> <div class="hlist"><ul><li><a href="/w/index.php?title=Jye%E1%B9%A3%E1%B9%ADhadeva&action=edit&redlink=1" class="new" title="Jyeṣṭhadeva (stran ne obstaja)">Jyeṣṭhadeva</a></li><li><a href="/wiki/Ren%C3%A9_Descartes" title="René Descartes">Descartes</a></li><li><a href="/wiki/Blaise_Pascal" title="Blaise Pascal">Pascal</a></li><li><a href="/w/index.php?title=Minggatu&action=edit&redlink=1" class="new" title="Minggatu (stran ne obstaja)">Minggatu</a></li><li><a href="/wiki/Leonhard_Euler" title="Leonhard Euler">Euler</a></li><li><a href="/w/index.php?title=Sakabe_K%C5%8Dhan&action=edit&redlink=1" class="new" title="Sakabe Kōhan (stran ne obstaja)">Sakabe</a></li><li><a href="/w/index.php?title=Jasuaki_Aida&action=edit&redlink=1" class="new" title="Jasuaki Aida (stran ne obstaja)">Aida</a></li></ul></div></td> </tr><tr><th class="sidebar-heading" style="background:#e6e6ff; font-weight:normal;"> 1700–1900</th></tr><tr><td class="sidebar-content" style="padding:0.2em 0.4em 0.6em;"> <div class="hlist"><ul><li><a href="/wiki/Carl_Friedrich_Gauss" title="Carl Friedrich Gauss">Gauss</a></li><li><a href="/wiki/Nikolaj_Ivanovi%C4%8D_Loba%C4%8Devski" title="Nikolaj Ivanovič Lobačevski">Lobačevski</a></li><li><a href="/wiki/J%C3%A1nos_Bolyai" title="János Bolyai">Bolyai</a></li><li><a href="/wiki/Bernhard_Riemann" title="Bernhard Riemann">Riemann</a></li><li><a href="/wiki/Felix_Klein" class="mw-redirect" title="Felix Klein">Klein</a></li><li><a href="/wiki/Henri_Poincar%C3%A9" title="Henri Poincaré">Poincaré</a></li><li><a href="/wiki/David_Hilbert" title="David Hilbert">Hilbert</a></li><li><a href="/wiki/Hermann_Minkowski" title="Hermann Minkowski">Minkowski</a></li><li><a href="/w/index.php?title=%C3%89lie_Cartan&action=edit&redlink=1" class="new" title="Élie Cartan (stran ne obstaja)">Cartan</a></li><li><a href="/w/index.php?title=Oswald_Veblen&action=edit&redlink=1" class="new" title="Oswald Veblen (stran ne obstaja)">Veblen</a></li><li><a href="/w/index.php?title=Harold_Scott_MacDonald_Coxeter&action=edit&redlink=1" class="new" title="Harold Scott MacDonald Coxeter (stran ne obstaja)">Coxeter</a></li></ul></div></td> </tr><tr><th class="sidebar-heading" style="background:#e6e6ff; font-weight:normal;"> Sedanjost</th></tr><tr><td class="sidebar-content" style="padding:0.2em 0.4em 0.6em;"> <div class="hlist"><ul><li><a href="/wiki/Michael_Atiyah" class="mw-redirect" title="Michael Atiyah">Atiyah</a></li><li><a href="/w/index.php?title=Mihail_Leonidovi%C4%8D_Gromov&action=edit&redlink=1" class="new" title="Mihail Leonidovič Gromov (stran ne obstaja)">Gromov</a></li></ul></div></td> </tr></tbody></table></div></div></td> </tr><tr><td class="sidebar-navbar"><style data-mw-deduplicate="TemplateStyles:r5911192">.mw-parser-output .navbar{display:inline;font-size:88%;font-weight:normal}.mw-parser-output .navbar-collapse{float:left;text-align:left}.mw-parser-output .navbar-boxtext{word-spacing:0}.mw-parser-output .navbar ul{display:inline-block;white-space:nowrap;line-height:inherit}.mw-parser-output .navbar-brackets::before{margin-right:-0.125em;content:"[ "}.mw-parser-output .navbar-brackets::after{margin-left:-0.125em;content:" ]"}.mw-parser-output .navbar li{word-spacing:-0.125em}.mw-parser-output .navbar a>span,.mw-parser-output .navbar a>abbr{text-decoration:inherit}.mw-parser-output .navbar-mini abbr{font-variant:small-caps;border-bottom:none;text-decoration:none;cursor:inherit}.mw-parser-output .navbar-ct-full{font-size:114%;margin:0 7em}.mw-parser-output .navbar-ct-mini{font-size:114%;margin:0 4em}</style><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-prikaži"><a href="/wiki/Predloga:Splo%C5%A1na_geometrija" title="Predloga:Splošna geometrija"><abbr title="Prikaži to predlogo">p</abbr></a></li><li class="nv-pogovor"><a href="/w/index.php?title=Pogovor_o_predlogi:Splo%C5%A1na_geometrija&action=edit&redlink=1" class="new" title="Pogovor o predlogi:Splošna geometrija (stran ne obstaja)"><abbr title="Pogovor o tej predlogi">p</abbr></a></li><li class="nv-uredi"><a class="external text" href="https://sl.wikipedia.org/w/index.php?title=Predloga:Splo%C5%A1na_geometrija&action=edit"><abbr title="Uredi to predlogo">u</abbr></a></li></ul></div></td></tr></tbody></table> <p><b>Evklídska geometríja</b> (tudi <b>Evklídova geometríja</b>, zastarelo <b>evklídična geometríja</b>, včasih tudi <b>parabólična geometríja</b>) je <a href="/wiki/Geometrija" title="Geometrija">geometrija</a> zasnovana na delu <a href="/wiki/Evklid" title="Evklid">Evklida</a> iz <a href="/wiki/Aleksandrija" title="Aleksandrija">Aleksandrije</a>. Gre za najbolj znan pa tudi najobsežnejši geometrijski sistem. Takorekoč vsa geometrija, ki se jo uporablja v različnih naravoslovno-tehničnih vedah, je evklidska. Evklidska geometrija je tako razširjena, da se pridevnik <i>evklidska</i> pogosto izpušča: kadar kdo uporabi besedo <i>geometrija</i>, praviloma misli na evklidsko geometrijo. </p><p>Poleg evklidske geometrije obstajajo tudi druge geometrije, ki jih imenujemo <a href="/wiki/Neevklidska_geometrija" title="Neevklidska geometrija">neevklidske geometrije</a>. Njihova praktična uporabnost je majhna in večina matematikov vidi v njih le teoretično zanimivost. Lastnosti geometrijskih objektov so v neevklidskih geometrijah drugačne kot v evklidski. Večina knjig in drugih virov pri navajanju lastnosti geometrijskih objektov opisuje predvsem tiste lastnosti, ki veljajo v evklidski geometriji. Tudi v Wikipediji velja isto pravilo: če v članku o nekem geometrijskem objektu ni izrecno navedeno drugače, veljajo opisane lastnosti v okviru evklidske geometrije. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Evklidovi_Elementi">Evklidovi <i>Elementi</i></h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Evklidska_geometrija&veaction=edit&section=1" title="Uredi razdelek: Evklidovi Elementi" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Evklidska_geometrija&action=edit&section=1" title="Urejanje izvorne kode razdelka: Evklidovi Elementi"><span>uredi kodo</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Evklid velja za začetnika sodobne geometrije. Njegovo glavno delo ima grški naslov <a href="/wiki/Stara_gr%C5%A1%C4%8Dina" class="mw-redirect" title="Stara grščina">starogrško</a> <span lang="grc">Στοιχεῖα</span> [<i>Stoiheia</i>] = <i>Osnove</i>, bolj pa je znano po latinskem imenu <a href="/wiki/Elementi_(Evklid)" title="Elementi (Evklid)"><i>Elementi</i></a>. To delo (originalno v 13 knjigah) velja za eno od najpomembnejših znanstvenih del vseh časov. Zasnova dela je celo za današnjega bralca neverjetno sodobna. Evklid je izhajal iz manjšega števila <a href="/wiki/Aksiom" title="Aksiom">aksiomov</a> oziroma postulatov - osnovnih resnic, ki so tako očitne, da jih ni treba dokazovati. Na podlagi teh aksiomov pa je potem dokazal veliko število precej bolj zapletenih lastnosti. Pri uvajanju novih pojmov je uporabljal jasne in natančne definicije, pri dokazovanju izrekov pa matematično strogost, ki je bila vzor naslednjim rodovom še stoletja. Aksiomatična metoda razvijanja matematične teorije se je splošno uveljavila šele več stoletij pozneje. </p> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/Slika:Parallel_postulate.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/6/6f/Parallel_postulate.svg/220px-Parallel_postulate.svg.png" decoding="async" width="220" height="165" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/6f/Parallel_postulate.svg/330px-Parallel_postulate.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/6f/Parallel_postulate.svg/440px-Parallel_postulate.svg.png 2x" data-file-width="800" data-file-height="600" /></a><figcaption>Peti postulat: če je <i>α</i> + <i>β</i> < 180°, se premici <i>h</i> in <i>k</i> sekata v točki <i>S</i></figcaption></figure> <p>Njegovo delo se začenja z naslednjimi petimi postulati (zapisano v sodobnem matematičnem jeziku): </p> <ol><li>Skozi poljubni dve točki poteka točno ena premica.</li> <li>Premica je neomejena - lahko jo podaljšamo v neskončnost.</li> <li>Za katerokoli daljico obstaja krožnica, ki ima to daljico za polmer in eno od krajišč za središče.</li> <li>Vsi pravi koti so med sabo skladni.</li> <li>Če poljubni premici sekamo s tretjo premico (prečnico) in je vsota notranjih kotov eni strani prečnice manjša od dveh pravih kotov, potem se dani premici sekata na tej strani prečnice.</li></ol> <p>Peti postulat je nekoliko nerodno formuliran. Poznejši matematiki so ga nadomestili z <a href="/wiki/Aksiom_o_vzporednici" title="Aksiom o vzporednici">aksiomom o vzporednici</a>, ki je razumljivejši, po matematičnem pomenu pa je enakovreden: </p> <dl><dd><i>Skozi poljubno točko T, ki ne leži na premici p, poteka točno ena vzporednica k premici p.</i></dd></dl> <p>Zanimivo je, da je ravno ta aksiom pritegnil še posebno zanimanje nekaterih matematikov in pozneje pripeljal do odkritja <a href="/wiki/Neevklidska_geometrija" title="Neevklidska geometrija">neevklidskih geometrij</a>. </p><p>V nadaljevanju <i>Elementov</i> je Evklid postopoma razvil popolno <a href="/wiki/Ravninska_geometrija" class="mw-redirect" title="Ravninska geometrija">ravninsko</a> in prostorsko geometrijo. Opisal je vse pojme, ki danes pomenijo temelj geometrije: pisal je o <a href="/wiki/Skladnost" class="mw-redirect" title="Skladnost">skladnosti</a> <a href="/wiki/Trikotnik" title="Trikotnik">trikotnikov</a>, o <a href="/wiki/Plo%C5%A1%C4%8Dina" title="Ploščina">ploščinah</a> trikotnikov in drugih <a href="/wiki/Ve%C4%8Dkotnik" class="mw-redirect" title="Večkotnik">večkotnikov</a>, o <a href="/wiki/Krog" title="Krog">krogu</a> in <a href="/wiki/Kro%C5%BEnica" title="Krožnica">krožnici</a>, o <a href="/wiki/Podobnost" class="mw-redirect" title="Podobnost">podobnosti</a>, o <a href="/wiki/Prostornina" title="Prostornina">prostornini</a> in <a href="/wiki/Povr%C5%A1ina" title="Površina">površini</a> <a href="/wiki/Geometrijsko_telo" title="Geometrijsko telo">teles</a> itd. </p> <div class="mw-heading mw-heading2"><h2 id="Hilbertovi_aksiomi">Hilbertovi aksiomi</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Evklidska_geometrija&veaction=edit&section=2" title="Uredi razdelek: Hilbertovi aksiomi" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Evklidska_geometrija&action=edit&section=2" title="Urejanje izvorne kode razdelka: Hilbertovi aksiomi"><span>uredi kodo</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Številni rodovi matematikov so s strahospoštovanjem gledali na <i>Elemente</i> kot na knjigo, ki ji ničesar ni moč odvzeti niti dodati. Šele leta <a href="/wiki/1899" title="1899">1899</a> je <a href="/wiki/David_Hilbert" title="David Hilbert">David Hilbert</a> resno predelal osnove geometrije in uveljavil svoj, modernejši sistem aksiomov. Poudariti pa velja, da Hilbertovi aksiomi ne nasprotujejo Evklidovim, pač pa iste lastnosti opisujejo v bolj sodobnem jeziku in usklajeno z razvojem matemtike na drugih področjih. </p><p>Hilbertovi aksiomi še zdaj veljajo za temelj moderne evklidske geometrije. Delijo se na naslednjih pet skupin: </p> <ul><li>Aksiomi lege in povezave</li> <li>Aksiomi o ureditvi</li> <li>Aksiomi o skladnosti</li> <li>Aksiomi o zveznosti premice</li> <li>Aksiom o vzporednici</li></ul> <div class="mw-heading mw-heading2"><h2 id="Analitična_geometrija"><span id="Analiti.C4.8Dna_geometrija"></span>Analitična geometrija</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Evklidska_geometrija&veaction=edit&section=3" title="Uredi razdelek: Analitična geometrija" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Evklidska_geometrija&action=edit&section=3" title="Urejanje izvorne kode razdelka: Analitična geometrija"><span>uredi kodo</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Pomemben del sodobne evklidske geometrije je tudi <a href="/w/index.php?title=Analiti%C4%8Dna_geometrija&action=edit&redlink=1" class="new" title="Analitična geometrija (stran ne obstaja)">analitična geometrija</a>. Za začetnika te veje geometrije velja <a href="/wiki/Ren%C3%A9_Descartes" title="René Descartes">René Descartes</a>, ki je v svojih delih postavil osnove <a href="/wiki/Kartezi%C4%8Dni_koordinatni_sistem" title="Kartezični koordinatni sistem">koordinatnega sistema</a>. S tem je omogočil povezavo med geometrijo in računsko usmerjenimi matematičnimi panogami: <a href="/wiki/Aritmetika" title="Aritmetika">aritmetiko</a>, <a href="/wiki/Matemati%C4%8Dna_analiza" title="Matematična analiza">analizo</a> in <a href="/wiki/Algebra" title="Algebra">algebro</a>. </p><p>Koordinatni sistem omogoča, da točko zapišemo s števili (<a href="/wiki/Koordinata" class="mw-redirect" title="Koordinata">koordinatami</a>), premico ali krivuljo pa z <a href="/wiki/Ena%C4%8Dba" title="Enačba">enačbo</a>. Posledično lahko geometrijsko (tj. risarsko) reševanje geometrijskih problemov nadomestimo z računskimi postopki. </p> <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=Evklidska_geometrija&veaction=edit&section=4" 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=Evklidska_geometrija&action=edit&section=4" 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/Evklid" title="Evklid">Evklid</a></li> <li><i><a href="/wiki/Elementi_(Evklid)" title="Elementi (Evklid)">Elementi</a></i></li> <li><a href="/wiki/Neevklidska_geometrija" title="Neevklidska geometrija">neevklidska geometrija</a></li></ul> <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=Evklidska_geometrija&veaction=edit&section=5" 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=Evklidska_geometrija&action=edit&section=5" title="Urejanje izvorne kode razdelka: Zunanje povezave"><span>uredi kodo</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a rel="nofollow" class="external text" href="http://www.educa.fmf.uni-lj.si/izodel/ponudba/1997/mocnik/geom/geo.htm">Evklidska geometrija</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="Viri">Viri</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Evklidska_geometrija&veaction=edit&section=6" title="Uredi razdelek: Viri" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Evklidska_geometrija&action=edit&section=6" title="Urejanje izvorne kode razdelka: Viri"><span>uredi kodo</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li>Struik, Dirk Jan. <i>Kratka zgodovina matematike.</i> Knjižnica Sigma (št. 27), Državna založba Slovenije, Ljubljana 1978. (<small><span class="plainlinks"><a rel="nofollow" class="external text" href="https://plus.cobiss.net/cobiss/si/sl/bib/1533185#full">COBISS</a></span></small>)</li></ul> <div role="navigation" class="navbox" aria-labelledby="Prostor" 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:Prostor" title="Predloga:Prostor"><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:Prostor&action=edit&redlink=1" class="new" title="Pogovor o predlogi:Prostor (stran ne 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