Obseg - Wikipedija, prosta enciklopedija

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<link rel="canonical" href="https://sl.wikipedia.org/wiki/Obseg"> <link rel="license" href="https://creativecommons.org/licenses/by-sa/4.0/deed.sl"> <link rel="alternate" type="application/atom+xml" title="Atom-vir strani »Wikipedija«" href="/w/index.php?title=Posebno:ZadnjeSpremembe&feed=atom"> <link rel="dns-prefetch" href="//meta.wikimedia.org" /> <link rel="dns-prefetch" href="//login.wikimedia.org"> </head> <body class="skin--responsive skin-vector skin-vector-search-vue mediawiki ltr sitedir-ltr mw-hide-empty-elt ns-0 ns-subject mw-editable page-Obseg rootpage-Obseg skin-vector-2022 action-view"><a class="mw-jump-link" href="#bodyContent">Pojdi na vsebino</a> <div class="vector-header-container"> <header class="vector-header mw-header"> <div class="vector-header-start"> <nav class="vector-main-menu-landmark" aria-label="Projekt"> <div id="vector-main-menu-dropdown" class="vector-dropdown vector-main-menu-dropdown vector-button-flush-left vector-button-flush-right" > <input type="checkbox" id="vector-main-menu-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-main-menu-dropdown" class="vector-dropdown-checkbox " aria-label="Glavni meni" > <label id="vector-main-menu-dropdown-label" for="vector-main-menu-dropdown-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-menu mw-ui-icon-wikimedia-menu"></span> <span class="vector-dropdown-label-text">Glavni meni</span> </label> <div class="vector-dropdown-content"> <div id="vector-main-menu-unpinned-container" class="vector-unpinned-container"> <div id="vector-main-menu" class="vector-main-menu vector-pinnable-element"> <div class="vector-pinnable-header vector-main-menu-pinnable-header vector-pinnable-header-unpinned" data-feature-name="main-menu-pinned" data-pinnable-element-id="vector-main-menu" data-pinned-container-id="vector-main-menu-pinned-container" data-unpinned-container-id="vector-main-menu-unpinned-container" > <div class="vector-pinnable-header-label">Glavni meni</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-main-menu.pin">prestavi v stransko letvico</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-main-menu.unpin">skrij</button> </div> <div id="p-navigation" class="vector-menu mw-portlet mw-portlet-navigation" > <div class="vector-menu-heading"> Navigacija </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="n-mainpage" class="mw-list-item"><a href="/wiki/Glavna_stran" title="Obiščite glavno stran [z]" accesskey="z"><span>Glavna stran</span></a></li><li id="n-introduction" class="mw-list-item"><a href="/wiki/Pomo%C4%8D:Uvod"><span>Naučite se urejati</span></a></li><li id="n-Izbrani-članki" class="mw-list-item"><a href="/wiki/Wikipedija:Izbrani_%C4%8Dlanki"><span>Izbrani članki</span></a></li><li id="n-randompage" class="mw-list-item"><a href="/wiki/Posebno:Naklju%C4%8Dno" title="Naložite naključno stran [x]" accesskey="x"><span>Naključna stran</span></a></li><li id="n-recentchanges" class="mw-list-item"><a href="/wiki/Posebno:ZadnjeSpremembe" title="Seznam zadnjih sprememb Wikipedije [r]" accesskey="r"><span>Zadnje spremembe</span></a></li> </ul> </div> </div> <div id="p-obcestvo" class="vector-menu mw-portlet mw-portlet-obcestvo" > <div class="vector-menu-heading"> Skupnost </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="n-help" class="mw-list-item"><a href="/wiki/Pomo%C4%8D:Vsebina" title="Kraj, kjer lahko prejmete pomoč"><span>Pomoč</span></a></li><li id="n-Pod-lipo" class="mw-list-item"><a href="/wiki/Wikipedija:Pod_lipo"><span>Pod lipo</span></a></li><li id="n-portal" class="mw-list-item"><a href="/wiki/Wikipedija:Portal_skupnosti" title="O projektu, kaj lahko storite, kje lahko kaj najdete"><span>Portal skupnosti</span></a></li><li id="n-contact" class="mw-list-item"><a href="/wiki/Wikipedija:Stik_z_nami"><span>Stik z nami</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> <a href="/wiki/Glavna_stran" class="mw-logo"> <img class="mw-logo-icon" src="/static/images/icons/wikipedia.png" alt="" aria-hidden="true" height="50" width="50"> <span class="mw-logo-container skin-invert"> <img class="mw-logo-wordmark" alt="Wikipedija" src="/static/images/mobile/copyright/wikipedia-wordmark-sl.svg" style="width: 7.4375em; height: 1.375em;"> <img class="mw-logo-tagline" alt="prosta enciklopedija" src="/static/images/mobile/copyright/wikipedia-tagline-sl.svg" width="118" height="13" style="width: 7.375em; height: 0.8125em;"> </span> </a> </div> <div class="vector-header-end"> <div id="p-search" role="search" class="vector-search-box-vue vector-search-box-collapses vector-search-box-show-thumbnail vector-search-box-auto-expand-width vector-search-box"> <a href="/wiki/Posebno:Iskanje" class="cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only search-toggle" title="Preiščite viki [f]" accesskey="f"><span class="vector-icon mw-ui-icon-search mw-ui-icon-wikimedia-search"></span> <span>Iskanje</span> </a> <div class="vector-typeahead-search-container"> <div class="cdx-typeahead-search cdx-typeahead-search--show-thumbnail cdx-typeahead-search--auto-expand-width"> <form action="/w/index.php" id="searchform" class="cdx-search-input cdx-search-input--has-end-button"> <div id="simpleSearch" class="cdx-search-input__input-wrapper" data-search-loc="header-moved"> <div class="cdx-text-input cdx-text-input--has-start-icon"> <input class="cdx-text-input__input" type="search" name="search" placeholder="Iskanje v Wikipediji" aria-label="Iskanje v Wikipediji" autocapitalize="sentences" title="Preiščite viki [f]" accesskey="f" id="searchInput" > <span class="cdx-text-input__icon cdx-text-input__start-icon"></span> </div> <input type="hidden" name="title" value="Posebno:Iskanje"> </div> <button class="cdx-button cdx-search-input__end-button">Išči</button> </form> </div> </div> </div> <nav class="vector-user-links vector-user-links-wide" aria-label="Osebna orodja"> <div class="vector-user-links-main"> <div id="p-vector-user-menu-preferences" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <div id="p-vector-user-menu-userpage" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <nav class="vector-appearance-landmark" aria-label="Videz"> <div id="vector-appearance-dropdown" class="vector-dropdown " title="Change the appearance of the page's font size, width, and color" > <input type="checkbox" id="vector-appearance-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-appearance-dropdown" class="vector-dropdown-checkbox " aria-label="Videz" > <label id="vector-appearance-dropdown-label" for="vector-appearance-dropdown-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-appearance mw-ui-icon-wikimedia-appearance"></span> <span class="vector-dropdown-label-text">Videz</span> </label> <div class="vector-dropdown-content"> <div id="vector-appearance-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <div id="p-vector-user-menu-notifications" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <div id="p-vector-user-menu-overflow" class="vector-menu mw-portlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="//donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&utm_medium=sidebar&utm_campaign=C13_sl.wikipedia.org&uselang=sl" class=""><span>Denarni prispevki</span></a> </li> <li id="pt-createaccount-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=Posebno:Registracija&returnto=Obseg" title="Predlagamo vam, da si ustvarite račun in se prijavite, vendar to ni obvezno." class=""><span>Ustvari račun</span></a> </li> <li id="pt-login-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=Posebno:Prijava&returnto=Obseg" title="Prijava je zaželena, vendar ni obvezna [o]" accesskey="o" class=""><span>Prijava</span></a> </li> </ul> </div> </div> </div> <div id="vector-user-links-dropdown" class="vector-dropdown vector-user-menu vector-button-flush-right vector-user-menu-logged-out" title="Več možnosti" > <input type="checkbox" id="vector-user-links-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-user-links-dropdown" class="vector-dropdown-checkbox " aria-label="Osebna orodja" > <label id="vector-user-links-dropdown-label" for="vector-user-links-dropdown-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-ellipsis mw-ui-icon-wikimedia-ellipsis"></span> <span class="vector-dropdown-label-text">Osebna orodja</span> </label> <div class="vector-dropdown-content"> <div id="p-personal" class="vector-menu mw-portlet mw-portlet-personal user-links-collapsible-item" title="Uporabniški meni" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport" class="user-links-collapsible-item mw-list-item"><a href="//donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&utm_medium=sidebar&utm_campaign=C13_sl.wikipedia.org&uselang=sl"><span>Denarni prispevki</span></a></li><li id="pt-createaccount" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Posebno:Registracija&returnto=Obseg" title="Predlagamo vam, da si ustvarite račun in se prijavite, vendar to ni obvezno."><span class="vector-icon mw-ui-icon-userAdd mw-ui-icon-wikimedia-userAdd"></span> <span>Ustvari račun</span></a></li><li id="pt-login" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Posebno:Prijava&returnto=Obseg" title="Prijava je zaželena, vendar ni obvezna [o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>Prijava</span></a></li> </ul> </div> </div> <div id="p-user-menu-anon-editor" class="vector-menu mw-portlet mw-portlet-user-menu-anon-editor" > <div class="vector-menu-heading"> Strani za 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"></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-Mnogokotniki" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Mnogokotniki"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Mnogokotniki</span> </div> </a> <ul id="toc-Mnogokotniki-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Krožnica" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Krožnica"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Krožnica</span> </div> </a> <ul id="toc-Krožnica-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Elipsa" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Elipsa"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Elipsa</span> </div> </a> <ul id="toc-Elipsa-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> </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">Obseg</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 80 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-80" 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">80 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/Omtrek" title="Omtrek – afrikanščina" lang="af" hreflang="af" data-title="Omtrek" 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%88%98%E1%8C%A0%E1%8A%90_%E1%8B%99%E1%88%AA%E1%8B%AB" title="መጠነ ዙሪያ – amharščina" lang="am" hreflang="am" data-title="መጠነ ዙሪያ" 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%85%D8%AD%D9%8A%D8%B7_(%D9%87%D9%86%D8%AF%D8%B3%D8%A9_%D8%B1%D9%8A%D8%A7%D8%B6%D9%8A%D8%A9)" title="محيط (هندسة رياضية) – arabščina" lang="ar" hreflang="ar" data-title="محيط (هندسة رياضية)" data-language-autonym="العربية" data-language-local-name="arabščina" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-as mw-list-item"><a href="https://as.wikipedia.org/wiki/%E0%A6%AA%E0%A7%B0%E0%A6%BF%E0%A6%B8%E0%A7%80%E0%A6%AE%E0%A6%BE" title="পৰিসীমা – asamščina" lang="as" hreflang="as" data-title="পৰিসীমা" 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/Per%C3%ADmetru" title="Perímetru – asturijščina" lang="ast" hreflang="ast" data-title="Perímetru" data-language-autonym="Asturianu" data-language-local-name="asturijščina" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-ay mw-list-item"><a href="https://ay.wikipedia.org/wiki/Muyta" title="Muyta – ajmarščina" lang="ay" hreflang="ay" data-title="Muyta" data-language-autonym="Aymar aru" data-language-local-name="ajmarščina" class="interlanguage-link-target"><span>Aymar aru</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/Perimetr" title="Perimetr – azerbajdžanščina" lang="az" hreflang="az" data-title="Perimetr" data-language-autonym="Azərbaycanca" data-language-local-name="azerbajdžanščina" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%9F%D0%B5%D1%80%D1%8B%D0%BC%D0%B5%D1%82%D1%80" title="Перыметр – beloruščina" lang="be" hreflang="be" data-title="Перыметр" 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%9F%D1%8D%D1%80%D1%8B%D0%BC%D1%8D%D1%82%D0%B0%D1%80" title="Пэрымэтар – Belarusian (Taraškievica orthography)" lang="be-tarask" hreflang="be-tarask" data-title="Пэрымэтар" 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%9F%D0%B5%D1%80%D0%B8%D0%BC%D0%B5%D1%82%D1%8A%D1%80" title="Периметър – bolgarščina" lang="bg" hreflang="bg" data-title="Периметър" 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%AA%E0%A6%B0%E0%A6%BF%E0%A6%B8%E0%A7%80%E0%A6%AE%E0%A6%BE" title="পরিসীমা – bengalščina" lang="bn" hreflang="bn" data-title="পরিসীমা" 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/Per%C3%ADmetre" title="Perímetre – katalonščina" lang="ca" hreflang="ca" data-title="Perímetre" 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/%DA%86%DB%8E%D9%88%DB%95" title="چێوە – osrednja kurdščina" lang="ckb" hreflang="ckb" data-title="چێوە" 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/Perimetru" title="Perimetru – korziščina" lang="co" hreflang="co" data-title="Perimetru" data-language-autonym="Corsu" data-language-local-name="korziščina" class="interlanguage-link-target"><span>Corsu</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Obvod_(geometrie)" title="Obvod (geometrie) – češčina" lang="cs" hreflang="cs" data-title="Obvod (geometrie)" data-language-autonym="Čeština" data-language-local-name="češčina" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-cy mw-list-item"><a href="https://cy.wikipedia.org/wiki/Perimedr" title="Perimedr – valižanščina" lang="cy" hreflang="cy" data-title="Perimedr" 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/Omkreds" title="Omkreds – danščina" lang="da" hreflang="da" data-title="Omkreds" 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/Umfang_(Geometrie)" title="Umfang (Geometrie) – nemščina" lang="de" hreflang="de" data-title="Umfang (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%A0%CE%B5%CF%81%CE%AF%CE%BC%CE%B5%CF%84%CF%81%CE%BF%CF%82" title="Περίμετρος – grščina" lang="el" hreflang="el" data-title="Περίμετρος" 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/Perimeter" title="Perimeter – angleščina" lang="en" hreflang="en" data-title="Perimeter" 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/Perimetro" title="Perimetro – esperanto" lang="eo" hreflang="eo" data-title="Perimetro" 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/Per%C3%ADmetro" title="Perímetro – španščina" lang="es" hreflang="es" data-title="Perímetro" 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/%C3%9Cmberm%C3%B5%C3%B5t" title="Ümbermõõt – estonščina" lang="et" hreflang="et" data-title="Ümbermõõt" 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/Perimetro" title="Perimetro – baskovščina" lang="eu" hreflang="eu" data-title="Perimetro" 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%85%D8%AD%DB%8C%D8%B7_(%D9%87%D9%86%D8%AF%D8%B3%D9%87)" title="محیط (هندسه) – perzijščina" lang="fa" hreflang="fa" data-title="محیط (هندسه)" 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/Piiri_(geometria)" title="Piiri (geometria) – finščina" lang="fi" hreflang="fi" data-title="Piiri (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/P%C3%A9rim%C3%A8tre" title="Périmètre – francoščina" lang="fr" hreflang="fr" data-title="Périmètre" 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/Per%C3%ADmetro" title="Perímetro – galicijščina" lang="gl" hreflang="gl" data-title="Perímetro" data-language-autonym="Galego" data-language-local-name="galicijščina" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%94%D7%99%D7%A7%D7%A3" title="היקף – hebrejščina" lang="he" hreflang="he" data-title="היקף" 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%AA%E0%A4%B0%E0%A4%BF%E0%A4%AE%E0%A4%BE%E0%A4%AA" title="परिमाप – hindijščina" lang="hi" hreflang="hi" data-title="परिमाप" 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/Opseg" title="Opseg – hrvaščina" lang="hr" hreflang="hr" data-title="Opseg" 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/Ker%C3%BClet_(geometria)" title="Kerület (geometria) – madžarščina" lang="hu" hreflang="hu" data-title="Kerület (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/%D5%8A%D5%A1%D6%80%D5%A1%D5%A3%D5%AB%D5%AE" title="Պարագիծ – armenščina" lang="hy" hreflang="hy" data-title="Պարագիծ" 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/Perimetro" title="Perimetro – interlingva" lang="ia" hreflang="ia" data-title="Perimetro" 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/Keliling" title="Keliling – indonezijščina" lang="id" hreflang="id" data-title="Keliling" 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-io mw-list-item"><a href="https://io.wikipedia.org/wiki/Perimetro" title="Perimetro – ido" lang="io" hreflang="io" data-title="Perimetro" data-language-autonym="Ido" data-language-local-name="ido" class="interlanguage-link-target"><span>Ido</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Perimetro" title="Perimetro – italijanščina" lang="it" hreflang="it" data-title="Perimetro" 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/%E5%91%A8%E9%95%B7" title="周長 – japonščina" lang="ja" hreflang="ja" data-title="周長" 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-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/%E1%83%9E%E1%83%94%E1%83%A0%E1%83%98%E1%83%9B%E1%83%94%E1%83%A2%E1%83%A0%E1%83%98" title="პერიმეტრი – gruzijščina" lang="ka" hreflang="ka" data-title="პერიმეტრი" data-language-autonym="ქართული" data-language-local-name="gruzijščina" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-kab mw-list-item"><a href="https://kab.wikipedia.org/wiki/Tamezza_(tusnakt)" title="Tamezza (tusnakt) – kabilščina" lang="kab" hreflang="kab" data-title="Tamezza (tusnakt)" data-language-autonym="Taqbaylit" data-language-local-name="kabilščina" class="interlanguage-link-target"><span>Taqbaylit</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%9F%D0%B5%D1%80%D0%B8%D0%BC%D0%B5%D1%82%D1%80" title="Периметр – kazaščina" lang="kk" hreflang="kk" data-title="Периметр" data-language-autonym="Қазақша" data-language-local-name="kazaščina" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-km mw-list-item"><a href="https://km.wikipedia.org/wiki/%E1%9E%94%E1%9E%9A%E1%9E%B7%E1%9E%98%E1%9E%B6%E1%9E%8F%E1%9F%92%E1%9E%9A" title="បរិមាត្រ – kmerščina" lang="km" hreflang="km" data-title="បរិមាត្រ" data-language-autonym="ភាសាខ្មែរ" data-language-local-name="kmerščina" class="interlanguage-link-target"><span>ភាសាខ្មែរ</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EB%91%98%EB%A0%88" title="둘레 – korejščina" lang="ko" hreflang="ko" data-title="둘레" 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%90%D0%B9%D0%BB%D0%B0%D0%BD%D0%B0%D0%BD%D1%8B%D0%BD_%D1%83%D0%B7%D1%83%D0%BD%D0%B4%D1%83%D0%B3%D1%83" title="Айлананын узундугу – kirgiščina" lang="ky" hreflang="ky" data-title="Айлананын узундугу" data-language-autonym="Кыргызча" data-language-local-name="kirgiščina" class="interlanguage-link-target"><span>Кыргызча</span></a></li><li class="interlanguage-link interwiki-lmo mw-list-item"><a href="https://lmo.wikipedia.org/wiki/Per%C3%ACmeter" title="Perìmeter – Lombard" lang="lmo" hreflang="lmo" data-title="Perìmeter" 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/Perimetras" title="Perimetras – litovščina" lang="lt" hreflang="lt" data-title="Perimetras" 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/Perimetrs" title="Perimetrs – latvijščina" lang="lv" hreflang="lv" data-title="Perimetrs" 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%9E%D0%B1%D0%B5%D0%BC_(%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%98%D0%B0)" title="Обем (геометрија) – makedonščina" lang="mk" hreflang="mk" data-title="Обем (геометрија)" data-language-autonym="Македонски" data-language-local-name="makedonščina" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-mr mw-list-item"><a href="https://mr.wikipedia.org/wiki/%E0%A4%AA%E0%A4%B0%E0%A4%BF%E0%A4%AE%E0%A4%BF%E0%A4%A4%E0%A5%80" title="परिमिती – maratščina" lang="mr" hreflang="mr" data-title="परिमिती" 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/Perimeter" title="Perimeter – malajščina" lang="ms" hreflang="ms" data-title="Perimeter" 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/Omtrek" title="Omtrek – nizozemščina" lang="nl" hreflang="nl" data-title="Omtrek" 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/Omkrins" title="Omkrins – novonorveščina" lang="nn" hreflang="nn" data-title="Omkrins" 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/Omkrets" title="Omkrets – knjižna norveščina" lang="nb" hreflang="nb" data-title="Omkrets" 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/Perim%C3%A8tre" title="Perimètre – okcitanščina" lang="oc" hreflang="oc" data-title="Perimètre" 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/Obw%C3%B3d_(geometria)" title="Obwód (geometria) – poljščina" lang="pl" hreflang="pl" data-title="Obwód (geometria)" data-language-autonym="Polski" data-language-local-name="poljščina" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Per%C3%ADmetro" title="Perímetro – portugalščina" lang="pt" hreflang="pt" data-title="Perímetro" 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/Iruru_muyu" title="Iruru muyu – kečuanščina" lang="qu" hreflang="qu" data-title="Iruru muyu" 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 mw-list-item"><a href="https://ro.wikipedia.org/wiki/Perimetru" title="Perimetru – romunščina" lang="ro" hreflang="ro" data-title="Perimetru" data-language-autonym="Română" data-language-local-name="romunščina" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-rsk mw-list-item"><a href="https://rsk.wikipedia.org/wiki/%D0%9E%D0%B1%D1%81%D1%8F%D0%B3" title="Обсяг – Pannonian Rusyn" lang="rsk" hreflang="rsk" data-title="Обсяг" data-language-autonym="Руски" data-language-local-name="Pannonian Rusyn" class="interlanguage-link-target"><span>Руски</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%9F%D0%B5%D1%80%D0%B8%D0%BC%D0%B5%D1%82%D1%80" title="Периметр – ruščina" lang="ru" hreflang="ru" data-title="Периметр" data-language-autonym="Русский" data-language-local-name="ruščina" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Opseg" title="Opseg – srbohrvaščina" lang="sh" hreflang="sh" data-title="Opseg" 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-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Perimeter" title="Perimeter – Simple English" lang="en-simple" hreflang="en-simple" data-title="Perimeter" 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-sn mw-list-item"><a href="https://sn.wikipedia.org/wiki/Pimamuganhu" title="Pimamuganhu – šonščina" lang="sn" hreflang="sn" data-title="Pimamuganhu" data-language-autonym="ChiShona" data-language-local-name="šonščina" class="interlanguage-link-target"><span>ChiShona</span></a></li><li class="interlanguage-link interwiki-so mw-list-item"><a href="https://so.wikipedia.org/wiki/Wareeg" title="Wareeg – somalščina" lang="so" hreflang="so" data-title="Wareeg" data-language-autonym="Soomaaliga" data-language-local-name="somalščina" class="interlanguage-link-target"><span>Soomaaliga</span></a></li><li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://sq.wikipedia.org/wiki/Perimetri" title="Perimetri – albanščina" lang="sq" hreflang="sq" data-title="Perimetri" 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%9E%D0%B1%D0%B8%D0%BC" title="Обим – srbščina" lang="sr" hreflang="sr" data-title="Обим" 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/Sabudeureun" title="Sabudeureun – sundanščina" lang="su" hreflang="su" data-title="Sabudeureun" 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/Omkrets" title="Omkrets – švedščina" lang="sv" hreflang="sv" data-title="Omkrets" data-language-autonym="Svenska" data-language-local-name="švedščina" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-szl mw-list-item"><a href="https://szl.wikipedia.org/wiki/Uobw%C5%AFd" title="Uobwůd – Silesian" lang="szl" hreflang="szl" data-title="Uobwůd" data-language-autonym="Ślůnski" data-language-local-name="Silesian" class="interlanguage-link-target"><span>Ślůnski</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%9A%E0%AF%81%E0%AE%B1%E0%AF%8D%E0%AE%B1%E0%AE%B3%E0%AE%B5%E0%AF%81" title="சுற்றளவு – tamilščina" lang="ta" hreflang="ta" data-title="சுற்றளவு" 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%9A%E0%B1%81%E0%B0%9F%E0%B1%8D%E0%B0%9F%E0%B1%81%E0%B0%95%E0%B1%8A%E0%B0%B2%E0%B0%A4" title="చుట్టుకొలత – telugijščina" lang="te" hreflang="te" data-title="చుట్టుకొలత" data-language-autonym="తెలుగు" data-language-local-name="telugijščina" class="interlanguage-link-target"><span>తెలుగు</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B9%80%E0%B8%AA%E0%B9%89%E0%B8%99%E0%B8%A3%E0%B8%AD%E0%B8%9A%E0%B8%A3%E0%B8%B9%E0%B8%9B" title="เส้นรอบรูป – tajščina" lang="th" hreflang="th" data-title="เส้นรอบรูป" data-language-autonym="ไทย" data-language-local-name="tajščina" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tl mw-list-item"><a href="https://tl.wikipedia.org/wiki/Perimetro" title="Perimetro – tagalogščina" lang="tl" hreflang="tl" data-title="Perimetro" data-language-autonym="Tagalog" data-language-local-name="tagalogščina" class="interlanguage-link-target"><span>Tagalog</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%9F%D0%B5%D1%80%D0%B8%D0%BC%D0%B5%D1%82%D1%80" title="Периметр – ukrajinščina" lang="uk" hreflang="uk" data-title="Периметр" 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/%D9%85%D8%AD%DB%8C%D8%B7" title="محیط – urdujščina" lang="ur" hreflang="ur" data-title="محیط" 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/Perimetr" title="Perimetr – uzbeščina" lang="uz" hreflang="uz" data-title="Perimetr" 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/Chu_vi" title="Chu vi – vietnamščina" lang="vi" hreflang="vi" data-title="Chu vi" 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/%E5%91%A8%E9%95%BF" title="周长 – wu-kitajščina" lang="wuu" hreflang="wuu" data-title="周长" 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%9E%E1%83%94%E1%83%A0%E1%83%98%E1%83%9B%E1%83%94%E1%83%A2%E1%83%A0%E1%83%98" title="პერიმეტრი – Mingrelian" lang="xmf" hreflang="xmf" data-title="პერიმეტრი" data-language-autonym="მარგალური" data-language-local-name="Mingrelian" class="interlanguage-link-target"><span>მარგალური</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E5%91%A8%E9%95%BF" title="周长 – kitajščina" lang="zh" hreflang="zh" data-title="周长" data-language-autonym="中文" data-language-local-name="kitajščina" class="interlanguage-link-target"><span>中文</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/Q28474#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/Obseg" 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:Obseg" 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/Obseg"><span>Preberi</span></a></li><li id="ca-ve-edit" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Obseg&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=Obseg&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=Obseg&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/Obseg"><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=Obseg&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=Obseg&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=Obseg&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/Obseg" 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/Obseg" 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=Obseg&oldid=5741508" 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=Obseg&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=Obseg&id=5741508&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%2FObseg"><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%2FObseg"><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=Obseg"><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=Obseg&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=Obseg&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 id="t-wikibase" class="wb-otherproject-link wb-otherproject-wikibase-dataitem mw-list-item"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q28474" 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> <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"><div class="dablink">Za druge pomene glej <a href="/wiki/Obseg_(razlo%C4%8Ditev)" class="mw-disambig" title="Obseg (razločitev)">obseg (razločitev)</a>.</div> <p><b>Obseg</b> je v geometriji dolžina zaprte krivulje, po navadi dvorazsežne ravninske krivulje. Največkrat se govori o obsegu pri geometrijskih likih, čeprav pridejo v poštev tudi druge krivulje, kroga, srčnica. V takšnih primerih se še posebej obravnava dolžina loka krivulje. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Mnogokotniki">Mnogokotniki</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Obseg&veaction=edit&section=1" title="Uredi razdelek: Mnogokotniki" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Obseg&action=edit&section=1" title="Urejanje izvorne kode razdelka: Mnogokotniki"><span>uredi kodo</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Obseg <a href="/wiki/Mnogokotnik" title="Mnogokotnik">mnogokotnika</a> je <a href="/wiki/Vsota" title="Vsota">vsota</a> dolžin vseh njegovih <a href="/wiki/Stranica" title="Stranica">stranic</a>. </p><p>Obseg <a href="/wiki/Trikotnik" title="Trikotnik">trikotnika</a> s stranicami dolžin <i>a</i>, <i>b</i> in <i>c</i> je: </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 o=a+b+c\,\!.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>o</mi> <mo>=</mo> <mi>a</mi> <mo>+</mo> <mi>b</mi> <mo>+</mo> <mi>c</mi> <mspace width="thinmathspace" /> <mspace width="negativethinmathspace" /> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle o=a+b+c\,\!.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/37c979d4a3658c8a33e3633ad99e48ecda4a92fe" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:13.788ex; height:2.343ex;" alt="{\displaystyle o=a+b+c\,\!.}"></span></dd></dl> <p>Obseg <a href="/wiki/%C5%A0tirikotnik" title="Štirikotnik">štirikotnika</a> s stranicami dolžin <i>a</i>, <i>b</i>, <i>c</i> in <i>d</i> je: </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 o=a+b+c+d\,\!.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>o</mi> <mo>=</mo> <mi>a</mi> <mo>+</mo> <mi>b</mi> <mo>+</mo> <mi>c</mi> <mo>+</mo> <mi>d</mi> <mspace width="thinmathspace" /> <mspace width="negativethinmathspace" /> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle o=a+b+c+d\,\!.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c134be5bcb2c59e7267507c1c77fcdd84e5a7c86" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:17.844ex; height:2.343ex;" alt="{\displaystyle o=a+b+c+d\,\!.}"></span></dd></dl> <p>Obseg <a href="/wiki/Enakokraki_trikotnik" title="Enakokraki trikotnik">enakokrakega trikotnika</a> z osnovnico dolžine <i>b</i> in krakoma dolžine <i>a</i> ter <a href="/wiki/Pravokotnik" title="Pravokotnik">pravokotnika</a> s stranicama dolžin <i>a</i> in <i>b</i> je: </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 o=2a+b\,\!,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>o</mi> <mo>=</mo> <mn>2</mn> <mi>a</mi> <mo>+</mo> <mi>b</mi> <mspace width="thinmathspace" /> <mspace width="negativethinmathspace" /> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle o=2a+b\,\!,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b4a344b43cf92eba67529448a01fa7b6ebfb4676" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:11.103ex; height:2.509ex;" alt="{\displaystyle o=2a+b\,\!,}"></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 o=2(a+b)\,\!.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>o</mi> <mo>=</mo> <mn>2</mn> <mo stretchy="false">(</mo> <mi>a</mi> <mo>+</mo> <mi>b</mi> <mo stretchy="false">)</mo> <mspace width="thinmathspace" /> <mspace width="negativethinmathspace" /> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle o=2(a+b)\,\!.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/908a00ddfb49d6949abba26ec064b842ba923653" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:12.912ex; height:2.843ex;" alt="{\displaystyle o=2(a+b)\,\!.}"></span></dd></dl> <p>Obseg <a href="/wiki/Pravilni_mnogokotnik" title="Pravilni mnogokotnik">pravilnega mnogokotnika</a> z <i>n</i> stranicami dolžine <i>a</i> je: </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 o=na\,\!.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>o</mi> <mo>=</mo> <mi>n</mi> <mi>a</mi> <mspace width="thinmathspace" /> <mspace width="negativethinmathspace" /> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle o=na\,\!.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/cc19a0db6435f13e87716a72774e2da1141204fc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:7.497ex; height:1.676ex;" alt="{\displaystyle o=na\,\!.}"></span></dd></dl> <p>Obseg <a href="/wiki/Enakostrani%C4%8Dni_trikotnik" title="Enakostranični trikotnik">enakostraničnega trikotnika</a> in <a href="/wiki/Kvadrat_(geometrija)" title="Kvadrat (geometrija)">kvadrata</a> s stranicami dolžine <i>a</i> je tako: </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 o=3a\,\!,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>o</mi> <mo>=</mo> <mn>3</mn> <mi>a</mi> <mspace width="thinmathspace" /> <mspace width="negativethinmathspace" /> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle o=3a\,\!,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/92edd5f00693342ac84bd76f707e5b24794a887e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:7.265ex; height:2.509ex;" alt="{\displaystyle o=3a\,\!,}"></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 o=4a\,\!.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>o</mi> <mo>=</mo> <mn>4</mn> <mi>a</mi> <mspace width="thinmathspace" /> <mspace width="negativethinmathspace" /> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle o=4a\,\!.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/93dc861f7c97466f00fc23ad9a9d198d750f8d91" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:7.265ex; height:2.176ex;" alt="{\displaystyle o=4a\,\!.}"></span></dd></dl> <div class="mw-heading mw-heading2"><h2 id="Krožnica"><span id="Kro.C5.BEnica"></span>Krožnica</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Obseg&veaction=edit&section=2" title="Uredi razdelek: Krožnica" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Obseg&action=edit&section=2" title="Urejanje izvorne kode razdelka: Krožnica"><span>uredi kodo</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Obseg <a href="/wiki/Kro%C5%BEnica" title="Krožnica">krožnice</a> je dan z njenim <a href="/wiki/Premer" title="Premer">premerom</a> <i>d</i> ali s <a href="/wiki/Polmer" title="Polmer">polmerom</a> <i>r</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 o=\pi d=2\pi r\,\!,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>o</mi> <mo>=</mo> <mi>π</mi> <mi>d</mi> <mo>=</mo> <mn>2</mn> <mi>π</mi> <mi>r</mi> <mspace width="thinmathspace" /> <mspace width="negativethinmathspace" /> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle o=\pi d=2\pi r\,\!,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d3d049ed50c9b47a36d592c3f4cf82b82141a23f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:14.062ex; height:2.509ex;" alt="{\displaystyle o=\pi d=2\pi r\,\!,}"></span></dd></dl> <p>oziroma s <a href="/wiki/Plo%C5%A1%C4%8Dina" title="Ploščina">ploščino</a> <a href="/wiki/Krog" title="Krog">kroga</a> <i>S</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 o=2{\sqrt {\pi S}}\approx 3,544908{\sqrt {S}}\,\!.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>o</mi> <mo>=</mo> <mn>2</mn> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mi>π</mi> <mi>S</mi> </msqrt> </mrow> <mo>≈</mo> <mn>3</mn> <mo>,</mo> <mn>544908</mn> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mi>S</mi> </msqrt> </mrow> <mspace width="thinmathspace" /> <mspace width="negativethinmathspace" /> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle o=2{\sqrt {\pi S}}\approx 3,544908{\sqrt {S}}\,\!.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e8cd5ba56281562b861b8ce09d98c3fcf0cb70af" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:26.507ex; height:3.009ex;" alt="{\displaystyle o=2{\sqrt {\pi S}}\approx 3,544908{\sqrt {S}}\,\!.}"></span></dd></dl> <p>Tu je π <a href="/wiki/Matemati%C4%8Dna_konstanta" title="Matematična konstanta">matematična konstanta</a> <a href="/wiki/Pi" title="Pi">pi</a>. </p> <div class="mw-heading mw-heading2"><h2 id="Elipsa">Elipsa</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Obseg&veaction=edit&section=3" title="Uredi razdelek: Elipsa" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Obseg&action=edit&section=3" title="Urejanje izvorne kode razdelka: Elipsa"><span>uredi kodo</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Približki za obseg <a href="/wiki/Elipsa" title="Elipsa">elipse</a> z glavnima polosema <i>a</i> in <i>b</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 o\approx 2\pi {\sqrt {ab}}\,\!}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>o</mi> <mo>≈</mo> <mn>2</mn> <mi>π</mi> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mi>a</mi> <mi>b</mi> </msqrt> </mrow> <mspace width="thinmathspace" /> <mspace width="negativethinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle o\approx 2\pi {\sqrt {ab}}\,\!}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7b4912da4e384a5a541f64a90d8d52c278772525" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; margin-right: -0.387ex; width:11.271ex; height:3.009ex;" alt="{\displaystyle o\approx 2\pi {\sqrt {ab}}\,\!}"></span> (<a href="/wiki/Johannes_Kepler" title="Johannes Kepler">Kepler</a>, 1609)</dd></dl> <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 o\approx \pi (a+b)\,\!,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>o</mi> <mo>≈</mo> <mi>π</mi> <mo stretchy="false">(</mo> <mi>a</mi> <mo>+</mo> <mi>b</mi> <mo stretchy="false">)</mo> <mspace width="thinmathspace" /> <mspace width="negativethinmathspace" /> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle o\approx \pi (a+b)\,\!,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/de6a78c9972e94d48cabba20fed4a6429e419997" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:13.082ex; height:2.843ex;" alt="{\displaystyle o\approx \pi (a+b)\,\!,}"></span></dd></dl> <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 o\approx \pi {\sqrt {2(a^{2}+b^{2})}}\,\!}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>o</mi> <mo>≈</mo> <mi>π</mi> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>2</mn> <mo stretchy="false">(</mo> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <msup> <mi>b</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo stretchy="false">)</mo> </msqrt> </mrow> <mspace width="thinmathspace" /> <mspace width="negativethinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle o\approx \pi {\sqrt {2(a^{2}+b^{2})}}\,\!}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f883983336ae94581c4172307cc5e06182868906" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.671ex; margin-right: -0.387ex; width:18.417ex; height:4.843ex;" alt="{\displaystyle o\approx \pi {\sqrt {2(a^{2}+b^{2})}}\,\!}"></span> (<a href="/wiki/Leonhard_Euler" title="Leonhard Euler">Euler</a>, 1773)</dd></dl> <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 o\approx \pi \left[{\frac {a+b}{2}}+{\sqrt {\frac {a^{2}+b^{2}}{2}}}\right]\,\!,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>o</mi> <mo>≈</mo> <mi>π</mi> <mrow> <mo>[</mo> <mrow> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>a</mi> <mo>+</mo> <mi>b</mi> </mrow> <mn>2</mn> </mfrac> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mfrac> <mrow> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <msup> <mi>b</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> <mn>2</mn> </mfrac> </msqrt> </mrow> </mrow> <mo>]</mo> </mrow> <mspace width="thinmathspace" /> <mspace width="negativethinmathspace" /> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle o\approx \pi \left[{\frac {a+b}{2}}+{\sqrt {\frac {a^{2}+b^{2}}{2}}}\right]\,\!,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/abb6324843f8035c4e8abd8e9b22e34b9c2fd731" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.171ex; width:28.77ex; height:7.509ex;" alt="{\displaystyle o\approx \pi \left[{\frac {a+b}{2}}+{\sqrt {\frac {a^{2}+b^{2}}{2}}}\right]\,\!,}"></span></dd></dl> <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 o\approx \pi \left[{\frac {3}{2}}(a+b)-{\sqrt {ab}}\right]\,\!}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>o</mi> <mo>≈</mo> <mi>π</mi> <mrow> <mo>[</mo> <mrow> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>3</mn> <mn>2</mn> </mfrac> </mrow> <mo stretchy="false">(</mo> <mi>a</mi> <mo>+</mo> <mi>b</mi> <mo stretchy="false">)</mo> <mo>−</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mi>a</mi> <mi>b</mi> </msqrt> </mrow> </mrow> <mo>]</mo> </mrow> <mspace width="thinmathspace" /> <mspace width="negativethinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle o\approx \pi \left[{\frac {3}{2}}(a+b)-{\sqrt {ab}}\right]\,\!}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/cca12f290b84d4e2ed6746bfcff1e669394a0abf" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.505ex; margin-right: -0.387ex; width:24.667ex; height:6.176ex;" alt="{\displaystyle o\approx \pi \left[{\frac {3}{2}}(a+b)-{\sqrt {ab}}\right]\,\!}"></span></dd></dl> <p>ali: </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 o\approx \pi {\sqrt {2(a^{2}+b^{2})-{\frac {1}{2}}(a-b)^{2}}}\,\!.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>o</mi> <mo>≈</mo> <mi>π</mi> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>2</mn> <mo stretchy="false">(</mo> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <msup> <mi>b</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo stretchy="false">)</mo> <mo>−</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </mrow> <mo stretchy="false">(</mo> <mi>a</mi> <mo>−</mo> <mi>b</mi> <msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </msqrt> </mrow> <mspace width="thinmathspace" /> <mspace width="negativethinmathspace" /> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle o\approx \pi {\sqrt {2(a^{2}+b^{2})-{\frac {1}{2}}(a-b)^{2}}}\,\!.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c0bb833c812981ea0f186494620a4b9329960b8f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:31.447ex; height:6.176ex;" alt="{\displaystyle o\approx \pi {\sqrt {2(a^{2}+b^{2})-{\frac {1}{2}}(a-b)^{2}}}\,\!.}"></span></dd></dl> <p>Vsak približek je <a href="/wiki/To%C4%8Dnost_in_natan%C4%8Dnost" title="Točnost in natančnost">točnejši</a> od predhodnega. </p><p>Dobra približka je leta 1914 dal <a href="/wiki/Srinivasa_Ajangar_Ramanud%C5%BEan" title="Srinivasa Ajangar Ramanudžan">Ramanudžan</a>: </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 o\approx \pi \left[3(a+b)-{\sqrt {(3a+b)(a+3b)}}\right]=\pi (a+b)\left[3-{\sqrt {4-h}}\right]\,\!,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>o</mi> <mo>≈</mo> <mi>π</mi> <mrow> <mo>[</mo> <mrow> <mn>3</mn> <mo stretchy="false">(</mo> <mi>a</mi> <mo>+</mo> <mi>b</mi> <mo stretchy="false">)</mo> <mo>−</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mo stretchy="false">(</mo> <mn>3</mn> <mi>a</mi> <mo>+</mo> <mi>b</mi> <mo stretchy="false">)</mo> <mo stretchy="false">(</mo> <mi>a</mi> <mo>+</mo> <mn>3</mn> <mi>b</mi> <mo stretchy="false">)</mo> </msqrt> </mrow> </mrow> <mo>]</mo> </mrow> <mo>=</mo> <mi>π</mi> <mo stretchy="false">(</mo> <mi>a</mi> <mo>+</mo> <mi>b</mi> <mo stretchy="false">)</mo> <mrow> <mo>[</mo> <mrow> <mn>3</mn> <mo>−</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>4</mn> <mo>−</mo> <mi>h</mi> </msqrt> </mrow> </mrow> <mo>]</mo> </mrow> <mspace width="thinmathspace" /> <mspace width="negativethinmathspace" /> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle o\approx \pi \left[3(a+b)-{\sqrt {(3a+b)(a+3b)}}\right]=\pi (a+b)\left[3-{\sqrt {4-h}}\right]\,\!,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/835354480bc9c1bd90572f45d6846ae662a2235e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:63.627ex; height:4.843ex;" alt="{\displaystyle o\approx \pi \left[3(a+b)-{\sqrt {(3a+b)(a+3b)}}\right]=\pi (a+b)\left[3-{\sqrt {4-h}}\right]\,\!,}"></span></dd></dl> <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 o\approx \pi (a+b)\left[1+{\frac {3\left({\frac {a-b}{a+b}}\right)^{2}}{10+{\sqrt {4-3\left({\frac {a-b}{a+b}}\right)^{2}}}}}\right]=\pi \left(a+b\right)\left[1+{\frac {3h}{10+{\sqrt {4-3h}}}}\right]\,\!.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>o</mi> <mo>≈</mo> <mi>π</mi> <mo stretchy="false">(</mo> <mi>a</mi> <mo>+</mo> <mi>b</mi> <mo stretchy="false">)</mo> <mrow> <mo>[</mo> <mrow> <mn>1</mn> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mn>3</mn> <msup> <mrow> <mo>(</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>a</mi> <mo>−</mo> <mi>b</mi> </mrow> <mrow> <mi>a</mi> <mo>+</mo> <mi>b</mi> </mrow> </mfrac> </mrow> <mo>)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> <mrow> <mn>10</mn> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>4</mn> <mo>−</mo> <mn>3</mn> <msup> <mrow> <mo>(</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>a</mi> <mo>−</mo> <mi>b</mi> </mrow> <mrow> <mi>a</mi> <mo>+</mo> <mi>b</mi> </mrow> </mfrac> </mrow> <mo>)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </msqrt> </mrow> </mrow> </mfrac> </mrow> </mrow> <mo>]</mo> </mrow> <mo>=</mo> <mi>π</mi> <mrow> <mo>(</mo> <mrow> <mi>a</mi> <mo>+</mo> <mi>b</mi> </mrow> <mo>)</mo> </mrow> <mrow> <mo>[</mo> <mrow> <mn>1</mn> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mn>3</mn> <mi>h</mi> </mrow> <mrow> <mn>10</mn> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>4</mn> <mo>−</mo> <mn>3</mn> <mi>h</mi> </msqrt> </mrow> </mrow> </mfrac> </mrow> </mrow> <mo>]</mo> </mrow> <mspace width="thinmathspace" /> <mspace width="negativethinmathspace" /> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle o\approx \pi (a+b)\left[1+{\frac {3\left({\frac {a-b}{a+b}}\right)^{2}}{10+{\sqrt {4-3\left({\frac {a-b}{a+b}}\right)^{2}}}}}\right]=\pi \left(a+b\right)\left[1+{\frac {3h}{10+{\sqrt {4-3h}}}}\right]\,\!.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/263256bcbbb9e6485fc8782bcf3435ff8f291018" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -6.005ex; width:74.951ex; height:13.176ex;" alt="{\displaystyle o\approx \pi (a+b)\left[1+{\frac {3\left({\frac {a-b}{a+b}}\right)^{2}}{10+{\sqrt {4-3\left({\frac {a-b}{a+b}}\right)^{2}}}}}\right]=\pi \left(a+b\right)\left[1+{\frac {3h}{10+{\sqrt {4-3h}}}}\right]\,\!.}"></span></dd></dl> <p>kjer je <i>h</i> parameter: </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 h=\lambda ^{2}\,\!,\qquad \lambda ={\frac {a-b}{a+b}}\,\!.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>h</mi> <mo>=</mo> <msup> <mi>λ</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mspace width="thinmathspace" /> <mspace width="negativethinmathspace" /> <mo>,</mo> <mspace width="2em" /> <mi>λ</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>a</mi> <mo>−</mo> <mi>b</mi> </mrow> <mrow> <mi>a</mi> <mo>+</mo> <mi>b</mi> </mrow> </mfrac> </mrow> <mspace width="thinmathspace" /> <mspace width="negativethinmathspace" /> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle h=\lambda ^{2}\,\!,\qquad \lambda ={\frac {a-b}{a+b}}\,\!.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/52d42e9fd45156f9ee7dd150d84ee5317e64e163" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.171ex; width:23.53ex; height:5.676ex;" alt="{\displaystyle h=\lambda ^{2}\,\!,\qquad \lambda ={\frac {a-b}{a+b}}\,\!.}"></span></dd></dl> <p>Tudi tukaj je drugi približek točnejši. Malo manj točen približek je med letoma 1904 in 1920 dal Lindner: </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 o\approx \pi (a+b)\left[1+{\frac {h}{8}}\right]^{2}\,\!.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>o</mi> <mo>≈</mo> <mi>π</mi> <mo stretchy="false">(</mo> <mi>a</mi> <mo>+</mo> <mi>b</mi> <mo stretchy="false">)</mo> <msup> <mrow> <mo>[</mo> <mrow> <mn>1</mn> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>h</mi> <mn>8</mn> </mfrac> </mrow> </mrow> <mo>]</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mspace width="thinmathspace" /> <mspace width="negativethinmathspace" /> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle o\approx \pi (a+b)\left[1+{\frac {h}{8}}\right]^{2}\,\!.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5bfa0b11eb69b023618b39502e62b5b02ceff845" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:22.769ex; height:6.509ex;" alt="{\displaystyle o\approx \pi (a+b)\left[1+{\frac {h}{8}}\right]^{2}\,\!.}"></span></dd></dl> <p>Obseg elipse s parametrom λ je: </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 o=\pi (a+b)\left[1+{\frac {\lambda ^{2}}{4}}+{\frac {\lambda ^{4}}{64}}+{\frac {\lambda ^{6}}{256}}+\cdots \right]=\pi (a+b)\left[1+\sum _{n=1}^{\infty }\left({\frac {(2n-2)!}{n!(n-1)!2^{2n-1}}}\right)^{2}\lambda ^{2n}\right]\,\!,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>o</mi> <mo>=</mo> <mi>π</mi> <mo stretchy="false">(</mo> <mi>a</mi> <mo>+</mo> <mi>b</mi> <mo stretchy="false">)</mo> <mrow> <mo>[</mo> <mrow> <mn>1</mn> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msup> <mi>λ</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mn>4</mn> </mfrac> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msup> <mi>λ</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>4</mn> </mrow> </msup> <mn>64</mn> </mfrac> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msup> <mi>λ</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>6</mn> </mrow> </msup> <mn>256</mn> </mfrac> </mrow> <mo>+</mo> <mo>⋯</mo> </mrow> <mo>]</mo> </mrow> <mo>=</mo> <mi>π</mi> <mo stretchy="false">(</mo> <mi>a</mi> <mo>+</mo> <mi>b</mi> <mo stretchy="false">)</mo> <mrow> <mo>[</mo> <mrow> <mn>1</mn> <mo>+</mo> <munderover> <mo>∑</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> <mo>=</mo> <mn>1</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">∞</mi> </mrow> </munderover> <msup> <mrow> <mo>(</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mo stretchy="false">(</mo> <mn>2</mn> <mi>n</mi> <mo>−</mo> <mn>2</mn> <mo stretchy="false">)</mo> <mo>!</mo> </mrow> <mrow> <mi>n</mi> <mo>!</mo> <mo stretchy="false">(</mo> <mi>n</mi> <mo>−</mo> <mn>1</mn> <mo stretchy="false">)</mo> <mo>!</mo> <msup> <mn>2</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> <mi>n</mi> <mo>−</mo> <mn>1</mn> </mrow> </msup> </mrow> </mfrac> </mrow> <mo>)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <msup> <mi>λ</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> <mi>n</mi> </mrow> </msup> </mrow> <mo>]</mo> </mrow> <mspace width="thinmathspace" /> <mspace width="negativethinmathspace" /> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle o=\pi (a+b)\left[1+{\frac {\lambda ^{2}}{4}}+{\frac {\lambda ^{4}}{64}}+{\frac {\lambda ^{6}}{256}}+\cdots \right]=\pi (a+b)\left[1+\sum _{n=1}^{\infty }\left({\frac {(2n-2)!}{n!(n-1)!2^{2n-1}}}\right)^{2}\lambda ^{2n}\right]\,\!,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/479ca192a53c3afe8a85967c5bbf875e499f861f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.671ex; width:89.079ex; height:8.509ex;" alt="{\displaystyle o=\pi (a+b)\left[1+{\frac {\lambda ^{2}}{4}}+{\frac {\lambda ^{4}}{64}}+{\frac {\lambda ^{6}}{256}}+\cdots \right]=\pi (a+b)\left[1+\sum _{n=1}^{\infty }\left({\frac {(2n-2)!}{n!(n-1)!2^{2n-1}}}\right)^{2}\lambda ^{2n}\right]\,\!,}"></span></dd></dl> <p>oziroma s parametrom <i>h</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 o=\pi (a+b)\left[1+{\frac {h}{4}}+{\frac {h^{2}}{64}}+{\frac {h^{3}}{256}}+{\frac {25h^{4}}{16384}}+{\frac {49h^{5}}{65536}}+\cdots \right]=\pi (a+b)\sum _{n=0}^{\infty }{{1 \over 2} \choose n}^{2}h^{n}\,\!,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>o</mi> <mo>=</mo> <mi>π</mi> <mo stretchy="false">(</mo> <mi>a</mi> <mo>+</mo> <mi>b</mi> <mo stretchy="false">)</mo> <mrow> <mo>[</mo> <mrow> <mn>1</mn> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>h</mi> <mn>4</mn> </mfrac> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msup> <mi>h</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mn>64</mn> </mfrac> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msup> <mi>h</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msup> <mn>256</mn> </mfrac> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mn>25</mn> <msup> <mi>h</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>4</mn> </mrow> </msup> </mrow> <mn>16384</mn> </mfrac> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mn>49</mn> <msup> <mi>h</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>5</mn> </mrow> </msup> </mrow> <mn>65536</mn> </mfrac> </mrow> <mo>+</mo> <mo>⋯</mo> </mrow> <mo>]</mo> </mrow> <mo>=</mo> <mi>π</mi> <mo stretchy="false">(</mo> <mi>a</mi> <mo>+</mo> <mi>b</mi> <mo stretchy="false">)</mo> <munderover> <mo>∑</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> <mo>=</mo> <mn>0</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">∞</mi> </mrow> </munderover> <msup> <mrow class="MJX-TeXAtom-ORD"> <mrow> <mrow class="MJX-TeXAtom-OPEN"> <mo maxsize="2.047em" minsize="2.047em">(</mo> </mrow> <mfrac linethickness="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </mrow> <mi>n</mi> </mfrac> <mrow class="MJX-TeXAtom-CLOSE"> <mo maxsize="2.047em" minsize="2.047em">)</mo> </mrow> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <msup> <mi>h</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msup> <mspace width="thinmathspace" /> <mspace width="negativethinmathspace" /> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle o=\pi (a+b)\left[1+{\frac {h}{4}}+{\frac {h^{2}}{64}}+{\frac {h^{3}}{256}}+{\frac {25h^{4}}{16384}}+{\frac {49h^{5}}{65536}}+\cdots \right]=\pi (a+b)\sum _{n=0}^{\infty }{{1 \over 2} \choose n}^{2}h^{n}\,\!,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/cc8daa4652a7ac827658f86c041165fa46f1f0ab" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.005ex; width:84.005ex; height:7.343ex;" alt="{\displaystyle o=\pi (a+b)\left[1+{\frac {h}{4}}+{\frac {h^{2}}{64}}+{\frac {h^{3}}{256}}+{\frac {25h^{4}}{16384}}+{\frac {49h^{5}}{65536}}+\cdots \right]=\pi (a+b)\sum _{n=0}^{\infty }{{1 \over 2} \choose n}^{2}h^{n}\,\!,}"></span></dd></dl> <p>približek pa (Hudsonova enačba, 1917): </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 o\approx \pi (a+b){\frac {64-3h^{2}}{64-16h}}\,\!.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>o</mi> <mo>≈</mo> <mi>π</mi> <mo stretchy="false">(</mo> <mi>a</mi> <mo>+</mo> <mi>b</mi> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mn>64</mn> <mo>−</mo> <mn>3</mn> <msup> <mi>h</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> <mrow> <mn>64</mn> <mo>−</mo> <mn>16</mn> <mi>h</mi> </mrow> </mfrac> </mrow> <mspace width="thinmathspace" /> <mspace width="negativethinmathspace" /> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle o\approx \pi (a+b){\frac {64-3h^{2}}{64-16h}}\,\!.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/029047d513933f512a35e11e187650110b3bebc4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.171ex; width:22.747ex; height:6.009ex;" alt="{\displaystyle o\approx \pi (a+b){\frac {64-3h^{2}}{64-16h}}\,\!.}"></span></dd></dl> <p>Hudsonovo enačbo po navadi pišejo s parametrom <i>L</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 L={\frac {h}{4}}={\frac {(a-b)^{2}}{(2(a+b))^{2}}}\,\!}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>L</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>h</mi> <mn>4</mn> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mo stretchy="false">(</mo> <mi>a</mi> <mo>−</mo> <mi>b</mi> <msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> <mrow> <mo stretchy="false">(</mo> <mn>2</mn> <mo stretchy="false">(</mo> <mi>a</mi> <mo>+</mo> <mi>b</mi> <mo stretchy="false">)</mo> <msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> </mfrac> </mrow> <mspace width="thinmathspace" /> <mspace width="negativethinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle L={\frac {h}{4}}={\frac {(a-b)^{2}}{(2(a+b))^{2}}}\,\!}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6990b769b67661e4cb385d2cbcf74204c994169b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.671ex; margin-right: -0.387ex; width:22.081ex; height:6.676ex;" alt="{\displaystyle L={\frac {h}{4}}={\frac {(a-b)^{2}}{(2(a+b))^{2}}}\,\!}"></span></dd></dl> <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 o\approx {\frac {\pi }{4}}(a+b)\left[3(1+L)+{\frac {1}{1-L}}\right]\,\!.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>o</mi> <mo>≈</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>π</mi> <mn>4</mn> </mfrac> </mrow> <mo stretchy="false">(</mo> <mi>a</mi> <mo>+</mo> <mi>b</mi> <mo stretchy="false">)</mo> <mrow> <mo>[</mo> <mrow> <mn>3</mn> <mo stretchy="false">(</mo> <mn>1</mn> <mo>+</mo> <mi>L</mi> <mo stretchy="false">)</mo> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mrow> <mn>1</mn> <mo>−</mo> <mi>L</mi> </mrow> </mfrac> </mrow> </mrow> <mo>]</mo> </mrow> <mspace width="thinmathspace" /> <mspace width="negativethinmathspace" /> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle o\approx {\frac {\pi }{4}}(a+b)\left[3(1+L)+{\frac {1}{1-L}}\right]\,\!.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4f5e0e5716ef938a88692638c969ba742ed43135" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:34.967ex; height:6.176ex;" alt="{\displaystyle o\approx {\frac {\pi }{4}}(a+b)\left[3(1+L)+{\frac {1}{1-L}}\right]\,\!.}"></span></dd></dl> <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=Obseg&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=Obseg&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/Obseg_(algebra)" title="Obseg (algebra)">obseg (algebra)</a></li> <li><a href="/wiki/Zemljin_polmer" title="Zemljin polmer">Zemljin polmer</a> (obseg Zemlje)</li> <li><a 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style="padding:0em 0.25em"> <ul><li><a href="/wiki/Enokotnik" title="Enokotnik">enokotnik</a></li> <li><a href="/wiki/Dvokotnik" title="Dvokotnik">dvokotnik</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><span class="nowrap"><a href="/wiki/Trikotnik" title="Trikotnik">Trikotnik</a></span></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/Bicentri%C4%8Dni_trikotnik" title="Bicentrični trikotnik">bicentrični</a> <ul><li><i><a href="/wiki/Tangentni_trikotnik" class="mw-redirect" title="Tangentni trikotnik">tangentni</a></i></li> <li><i><a href="/wiki/Tetivni_trikotnik" class="mw-redirect" title="Tetivni trikotnik">tetivni</a></i></li></ul></li> <li><a href="/wiki/Enakokraki_trikotnik" title="Enakokraki trikotnik">enakokraki</a> <ul><li><a href="/wiki/Enakokraki_pravokotni_trikotnik" title="Enakokraki pravokotni trikotnik">enakokraki pravokotni</a></li> <li><a href="/w/index.php?title=Zlati_trikotnik_(matematika)&action=edit&redlink=1" class="new" title="Zlati trikotnik (matematika) (stran ne obstaja)">zlati</a></li> <li><a href="/wiki/Calabijev_trikotnik" title="Calabijev trikotnik">Calabijev</a></li> <li><a href="/wiki/Enakostrani%C4%8Dni_trikotnik" title="Enakostranični trikotnik">enakostranični</a> <ul><li><a href="/w/index.php?title=Morleyjev_izrek&action=edit&redlink=1" class="new" title="Morleyjev izrek (stran ne obstaja)">Morleyjev</a>)</li></ul></li></ul></li> <li><a href="/wiki/Pravokotni_trikotnik" title="Pravokotni trikotnik">pravokotni</a> <ul><li><a href="/w/index.php?title=Posebni_pravokotni_trikotniki&action=edit&redlink=1" class="new" title="Posebni pravokotni trikotniki (stran ne obstaja)">posebni pravokotni</a> <ul><li><a href="/wiki/Pitagorejska_trojica" title="Pitagorejska trojica">pitagorejski</a> <ul><li><i><a href="/wiki/Heronski_trikotnik" title="Heronski trikotnik">heronski</a></i></li></ul></li> <li><i><a href="/wiki/Enakokraki_pravokotni_trikotnik" title="Enakokraki pravokotni trikotnik">enakokraki pravokotni</a></i></li> <li><a href="/w/index.php?title=Keplerjev_trikotnik&action=edit&redlink=1" class="new" title="Keplerjev trikotnik (stran ne obstaja)">Keplerjev</a></li></ul></li></ul></li> <li><a href="/wiki/Celo%C5%A1tevilski_trikotnik" title="Celoštevilski trikotnik">celoštevilski</a></li> <li><a href="/wiki/Heronski_trikotnik" title="Heronski trikotnik">heronski</a></li> <li><a href="/w/index.php?title=Sedemkotni%C5%A1ki_trikotnik&action=edit&redlink=1" class="new" title="Sedemkotniški trikotnik (stran ne obstaja)">sedemkotniški</a></li> <li><a href="/wiki/No%C5%BEi%C5%A1%C4%8Dni_trikotnik" title="Nožiščni trikotnik">nožiščni</a></li> <li><a href="/w/index.php?title=Skoraj_skladna_trikotnika&action=edit&redlink=1" class="new" title="Skoraj skladna trikotnika (stran ne obstaja)">skoraj skladna</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><span class="nowrap"><a href="/wiki/%C5%A0tirikotnik" title="Štirikotnik">Štirikotnik</a></span></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/Antiparalelogram" title="Antiparalelogram">antiparalelogram</a></li> <li><a href="/wiki/Bicentri%C4%8Dni_%C5%A1tirikotnik" title="Bicentrični štirikotnik">bicentrični</a> <ul><li><i><a href="/wiki/Kvadrat_(geometrija)" title="Kvadrat (geometrija)">kvadrat</a></i></li></ul></li> <li><a href="/w/index.php?title=Enakodiagonalni_%C5%A1tirikotnik&action=edit&redlink=1" class="new" title="Enakodiagonalni štirikotnik (stran ne obstaja)">enakodiagonalni</a> <ul><li><a href="/wiki/Enakokraki_trapez" title="Enakokraki trapez">enakokraki trapez</a></li> <li><a href="/wiki/Pravokotnik" title="Pravokotnik">pravokotnik</a> <ul><li><i><a href="/wiki/Kvadrat_(geometrija)" title="Kvadrat (geometrija)">kvadrat</a></i></li> <li><a href="/w/index.php?title=Dinami%C4%8Dni_pravokotnik&action=edit&redlink=1" class="new" title="Dinamični pravokotnik (stran ne obstaja)">dinamični</a></li></ul></li></ul></li> <li><a href="/wiki/Ortodiagonalni_%C5%A1tirikotnik" title="Ortodiagonalni štirikotnik">ortodiagonalni</a> <ul><li><i><a href="/wiki/Deltoid" title="Deltoid">deltoid</a></i> <ul><li><i><a href="/wiki/Romb" title="Romb">romb</a></i> <ul><li><i><a href="/wiki/Kvadrat_(geometrija)" title="Kvadrat (geometrija)">kvadrat</a></i></li></ul></li></ul></li></ul></li> <li><a href="/wiki/Paralelogram" title="Paralelogram">paralelogram</a> <ul><li><a href="/wiki/Pravokotnik" title="Pravokotnik">pravokotnik</a> <ul><li><i><a href="/wiki/Kvadrat_(geometrija)" title="Kvadrat (geometrija)">kvadrat</a></i></li> <li><a href="/w/index.php?title=Dinami%C4%8Dni_pravokotnik&action=edit&redlink=1" class="new" title="Dinamični pravokotnik (stran ne obstaja)">dinamični</a></li></ul></li> <li><i><a href="/wiki/Romb" title="Romb">romb</a></i> <ul><li><i><a href="/wiki/Kvadrat_(geometrija)" title="Kvadrat (geometrija)">kvadrat</a></i></li></ul></li> <li><a href="/wiki/Romboid" title="Romboid">romboid</a></li></ul></li> <li><a href="/wiki/Tangentni_%C5%A1tirikotnik" title="Tangentni štirikotnik">tangentni</a> <ul><li><a href="/wiki/Deltoid" title="Deltoid">deltoid</a> <ul><li><i><a href="/wiki/Romb" title="Romb">romb</a></i> <ul><li><i><a href="/wiki/Kvadrat_(geometrija)" title="Kvadrat (geometrija)">kvadrat</a></i></li></ul></li> <li><a href="/w/index.php?title=Pravokotni_deltoid&action=edit&redlink=1" class="new" title="Pravokotni deltoid (stran ne obstaja)">pravokotni</a></li> <li><i><a href="/w/index.php?title=Posplo%C5%A1eni_deltoid&action=edit&redlink=1" class="new" title="Posplošeni deltoid (stran ne obstaja)">posplošeni</a></i></li></ul></li> <li><a href="/wiki/Tangentni_trapez" title="Tangentni trapez">tangentni trapez</a></li></ul></li> <li><a href="/wiki/Tetivni_%C5%A1tirikotnik" title="Tetivni štirikotnik">tetivni</a> <ul><li><a href="/wiki/Enakokraki_trapez" title="Enakokraki trapez">enakokraki trapez</a></li> <li><a href="/wiki/Pravokotnik" title="Pravokotnik">pravokotnik</a> <ul><li><i><a href="/wiki/Kvadrat_(geometrija)" title="Kvadrat (geometrija)">kvadrat</a></i></li> <li><a href="/w/index.php?title=Dinami%C4%8Dni_pravokotnik&action=edit&redlink=1" class="new" title="Dinamični pravokotnik (stran ne obstaja)">dinamični</a></li></ul></li></ul></li> <li><a href="/wiki/Trapez" title="Trapez">trapez</a> <ul><li><a href="/wiki/Enakokraki_trapez" title="Enakokraki trapez">enakokraki</a></li> <li><a href="/wiki/Tangentni_trapez" title="Tangentni trapez">tangentni</a></li> <li><a href="/wiki/Pravokotni_trapez" title="Pravokotni trapez">pravokotni</a></li></ul></li> <li><a href="/wiki/Trapezoid" title="Trapezoid">trapezoid</a> <ul><li><a href="/wiki/Kvadrat_(geometrija)" title="Kvadrat (geometrija)">kvadrat</a> <ul><li><a href="/wiki/Enotski_kvadrat" title="Enotski kvadrat">enotski</a></li></ul></li></ul></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><span class="nowrap">5-10-kotniki</span></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/Petkotnik" title="Petkotnik">petkotnik</a> <ul><li><a href="/wiki/Enakostrani%C4%8Dni_petkotnik" title="Enakostranični petkotnik">enakostranični</a></li></ul></li> <li><a href="/wiki/%C5%A0estkotnik" title="Šestkotnik">šestkotnik</a></li> <li><a href="/wiki/Sedemkotnik" title="Sedemkotnik">sedemkotnik</a></li> <li><a href="/wiki/Osemkotnik" title="Osemkotnik">osemkotnik</a></li> <li><a href="/wiki/Devetkotnik" title="Devetkotnik">devetkotnik</a></li> <li><a href="/wiki/Desetkotnik" title="Desetkotnik">desetkotnik</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><span class="nowrap">11-20-kotniki</span></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/Enajstkotnik" title="Enajstkotnik">enajstkotnik</a></li> <li><a href="/wiki/Dvanajstkotnik" title="Dvanajstkotnik">dvanajstkotnik</a></li> <li><a href="/wiki/Trinajstkotnik" title="Trinajstkotnik">trinajstkotnik</a></li> <li><a href="/wiki/%C5%A0tirinajstkotnik" title="Štirinajstkotnik">štirinajstkotnik</a></li> <li><a href="/wiki/Petnajstkotnik" title="Petnajstkotnik">petnajstkotnik</a></li> <li><a href="/wiki/%C5%A0estnajstkotnik" title="Šestnajstkotnik">šestnajstkotnik</a></li> <li><a href="/wiki/Sedemnajstkotnik" title="Sedemnajstkotnik">sedemnajstkotnik</a></li> <li><a href="/wiki/Osemnajstkotnik" title="Osemnajstkotnik">osemnajstkotnik</a></li> <li><a href="/wiki/Devetnajstkotnik" title="Devetnajstkotnik">devetnajstkotnik</a></li> <li><a href="/wiki/Dvajsetkotnik" title="Dvajsetkotnik">dvajsetkotnik</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><span class="nowrap">21-100-kotniki</span></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=%C5%A0tiriindvajsetkotnik&action=edit&redlink=1" class="new" title="Štiriindvajsetkotnik (stran ne obstaja)">štiriindvajsetkotnik</a></li> <li><a href="/wiki/Tridesetkotnik" title="Tridesetkotnik">tridesetkotnik</a></li> <li><a href="/w/index.php?title=%C5%A0tiridesetkotnik&action=edit&redlink=1" class="new" title="Štiridesetkotnik (stran ne obstaja)">štiridesetkotnik</a></li> <li><a href="/w/index.php?title=Petdesetkotnik&action=edit&redlink=1" class="new" title="Petdesetkotnik (stran ne obstaja)">petdesetkotnik</a></li> <li><a href="/w/index.php?title=%C5%A0estdesetkotnik&action=edit&redlink=1" class="new" title="Šestdesetkotnik (stran ne obstaja)">šestdesetkotnik</a></li> <li><a href="/w/index.php?title=Sedemdesetkotnik&action=edit&redlink=1" class="new" title="Sedemdesetkotnik (stran ne obstaja)">sedemdesetkotnik</a></li> <li><a href="/w/index.php?title=Osemdesetkotnik&action=edit&redlink=1" class="new" title="Osemdesetkotnik (stran ne obstaja)">osemdesetkotnik</a></li> <li><a href="/w/index.php?title=Devetdesetkotnik&action=edit&redlink=1" class="new" title="Devetdesetkotnik (stran ne obstaja)">devetdesetkotnik</a></li> <li><a href="/w/index.php?title=Stokotnik&action=edit&redlink=1" class="new" title="Stokotnik (stran ne obstaja)">stokotnik</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><span class="nowrap">Drugi</span></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=120-kotnik&action=edit&redlink=1" class="new" title="120-kotnik (stran ne obstaja)">120-kotnik</a></li> <li><a href="/w/index.php?title=257-kotnik&action=edit&redlink=1" class="new" title="257-kotnik (stran ne obstaja)">257-kotnik</a></li> <li><a href="/w/index.php?title=360-kotnik&action=edit&redlink=1" class="new" title="360-kotnik (stran ne obstaja)">360-kotnik</a></li> <li><a href="/wiki/Tiso%C4%8Dkotnik" title="Tisočkotnik">tisočkotnik</a></li> <li><a href="/wiki/Desettiso%C4%8Dkotnik" title="Desettisočkotnik">desettisočkotnik</a></li> <li><a href="/w/index.php?title=65537-kotnik&action=edit&redlink=1" class="new" title="65537-kotnik (stran ne obstaja)">65537-kotnik</a></li> <li><a href="/w/index.php?title=Stotiso%C4%8Dkotnik&action=edit&redlink=1" class="new" title="Stotisočkotnik (stran ne obstaja)">stotisočkotnik</a></li> <li><a href="/wiki/Milijonkotnik" title="Milijonkotnik">milijonkotnik</a></li> <li><a href="/wiki/Apeirogon" title="Apeirogon">apeirogon (∞)</a></li> <li><a href="/wiki/Goligon" title="Goligon">goligon</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Posebni/značilni</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/Bicentri%C4%8Dni_mnogokotnik" title="Bicentrični mnogokotnik">bicentrični</a></li> <li><a href="/wiki/Enakokotni_mnogokotnik" title="Enakokotni mnogokotnik">enakokotni</a> <ul><li><a href="/wiki/Enakokotni_mnogokotnik" title="Enakokotni mnogokotnik">aritmetični</a></li></ul></li> <li><a href="/wiki/Enakostrani%C4%8Dni_mnogokotnik" title="Enakostranični mnogokotnik">enakostranični</a></li> <li><a href="/wiki/Izotoksalna_oblika" title="Izotoksalna oblika">izotoksalni</a></li> <li><a href="/w/index.php?title=Kompleksni_mnogokotnik&action=edit&redlink=1" class="new" title="Kompleksni mnogokotnik (stran ne obstaja)">kompleksni</a></li> <li><a href="/w/index.php?title=Monotoni_mnogokotnik&action=edit&redlink=1" class="new" title="Monotoni mnogokotnik (stran ne obstaja)">monotoni</a></li> <li><a href="/wiki/Nagnjeni_mnogokotnik" title="Nagnjeni mnogokotnik">nagnjeni</a></li> <li><a href="/wiki/Petriejev_mnogokotnik" title="Petriejev mnogokotnik">Petriejev</a></li> <li><a href="/wiki/Pravilni_mnogokotnik" title="Pravilni mnogokotnik">pravilni</a></li> <li><a href="/wiki/Preprosti_mnogokotnik" title="Preprosti mnogokotnik">preprosti</a></li> <li><a href="/w/index.php?title=Tangentni_mnogokotnik&action=edit&redlink=1" class="new" title="Tangentni mnogokotnik (stran ne obstaja)">tangentni</a></li> <li><a href="/w/index.php?title=Tetivni_mnogokotnik&action=edit&redlink=1" class="new" title="Tetivni mnogokotnik (stran ne obstaja)">tetivni</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Splošno</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/Konveksni_in_konkavni_mnogokotnik" title="Konveksni in konkavni mnogokotnik">konveksni in konkavni</a></li> <li><a href="/wiki/Zvezdni_mnogokotnik" title="Zvezdni mnogokotnik">zvezdni</a> <ul><li><a href="/wiki/Pentagram" title="Pentagram">pentagram</a></li> <li><a href="/wiki/Heksagram" title="Heksagram">heksagram</a></li> <li><a href="/wiki/Heptagram" title="Heptagram">heptagram</a></li> <li><a href="/wiki/Oktagram" title="Oktagram">oktagram</a></li> <li><a href="/wiki/Eneagram" title="Eneagram">eneagram</a></li> <li><a href="/wiki/Dekagram_(geometrija)" title="Dekagram (geometrija)">dekagram</a></li> <li><a href="/wiki/Hendekagram" title="Hendekagram">hendekagram</a></li> <li><a href="/wiki/Dodekagram" title="Dodekagram">dodekagram</a></li></ul></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Značilnosti</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/Geometrijski_lik" title="Geometrijski lik">geometrijski lik</a></li> <li><a href="/wiki/Stranica" title="Stranica">stranica</a></li> <li><a href="/wiki/Ogli%C5%A1%C4%8De" title="Oglišče">oglišče</a></li> <li><a href="/wiki/Kot" title="Kot">kot</a></li> <li><a href="/wiki/Vi%C5%A1ina" title="Višina">višina</a> <ul><li><a href="/wiki/Vi%C5%A1ina_trikotnika" title="Višina trikotnika">višina trikotnika</a></li></ul></li> <li><a href="/wiki/V%C4%8Drtana_kro%C5%BEnica" title="Včrtana krožnica">včrtana krožnica</a> <ul><li><a href="/wiki/Apotema" title="Apotema">apotema</a></li></ul></li> <li><a href="/wiki/O%C4%8Drtana_kro%C5%BEnica" title="Očrtana krožnica">očrtana krožnica</a></li> <li><a href="/wiki/Diagonala" title="Diagonala">diagonala</a></li> <li><a class="mw-selflink selflink">obseg</a></li> <li><a href="/wiki/Plo%C5%A1%C4%8Dina" title="Ploščina">ploščina</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Matemati%C4%8Dna_konstanta" title="Matematična konstanta">Konstante</a></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/Pi" title="Pi">število <i>π</i></a></li> <li><a href="/wiki/Kvadratni_koren_%C5%A1tevila_2" title="Kvadratni koren števila 2">kvadratni koren števila 2</a></li> <li><a href="/wiki/Kvadratni_koren_%C5%A1tevila_3" title="Kvadratni koren števila 3">kvadratni koren števila 3</a></li> <li><a href="/wiki/Kvadratni_koren_%C5%A1tevila_5" title="Kvadratni koren števila 5">kvadratni koren števila 5</a></li> <li><a href="/wiki/%C5%A0tevilo_zlatega_reza" title="Število zlatega reza">število zlatega reza <i>Φ</i></a></li> <li><a href="/wiki/Kepler-Bouwkampova_konstanta" title="Kepler-Bouwkampova konstanta">Kepler-Bouwkampova konstanta <i>K</i>´</a></li></ul> </div></td></tr><tr><td class="navbox-abovebelow" colspan="2"><div>Glej tudi: <a href="/wiki/Seznam_mnogokotnikov,_poliedrov_in_politopov" title="Seznam mnogokotnikov, poliedrov in politopov">seznam mnogokotnikov, poliedrov in politopov</a></div></td></tr></tbody></table></div> <style data-mw-deduplicate="TemplateStyles:r5570670">.mw-parser-output .asbox{position:relative;overflow:hidden}.mw-parser-output .asbox table{background:transparent}.mw-parser-output .asbox p{margin:0}.mw-parser-output .asbox p+p{margin-top:0.25em}.mw-parser-output .asbox-body{font-style:italic}.mw-parser-output .asbox-note{font-size:smaller}.mw-parser-output .asbox .navbar{position:absolute;top:-0.75em;right:1em;display:none}</style><div role="note" class="metadata plainlinks asbox stub"><table role="presentation"><tbody><tr class="noresize"><td><span typeof="mw:File"><a href="/wiki/Slika:E-to-the-i-pi.svg" class="mw-file-description"><img alt="Stub icon" src="//upload.wikimedia.org/wikipedia/commons/thumb/3/35/E-to-the-i-pi.svg/34px-E-to-the-i-pi.svg.png" decoding="async" width="34" height="30" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/35/E-to-the-i-pi.svg/51px-E-to-the-i-pi.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/35/E-to-the-i-pi.svg/68px-E-to-the-i-pi.svg.png 2x" data-file-width="512" data-file-height="453" /></a></span></td><td><p class="asbox-body">Ta matematični članek je <a href="/wiki/Wikipedija:%C5%A0krbina" title="Wikipedija:Škrbina">škrbina</a>. 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