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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=V%C4%8Drtana+kro%C5%BEnica" 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=V%C4%8Drtana+kro%C5%BEnica" 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" 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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=V%C4%8Drtana+kro%C5%BEnica" 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=V%C4%8Drtana+kro%C5%BEnica" 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-Obstoj_včrtane_krožnice" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Obstoj_včrtane_krožnice"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Obstoj včrtane krožnice</span> </div> </a> <ul id="toc-Obstoj_včrtane_krožnice-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Trikotniku_včrtana_krožnica" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Trikotniku_včrtana_krožnica"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Trikotniku včrtana krožnica</span> </div> </a> <ul id="toc-Trikotniku_včrtana_krožnica-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Štirikotniku_včrtana_krožnica" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Štirikotniku_včrtana_krožnica"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Štirikotniku včrtana krožnica</span> </div> </a> <ul id="toc-Štirikotniku_včrtana_krožnica-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> </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">Včrtana krožnica</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 32 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-32" 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">32 jezikov</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%AF%D8%A7%D8%A6%D8%B1%D8%A9_%D8%AF%D8%A7%D8%AE%D9%84%D9%8A%D8%A9" title="دائرة داخلية – arabščina" lang="ar" hreflang="ar" data-title="دائرة داخلية" data-language-autonym="العربية" data-language-local-name="arabščina" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%A3%D0%BF%D1%96%D1%81%D0%B0%D0%BD%D0%B0%D1%8F_%D0%B0%D0%BA%D1%80%D1%83%D0%B6%D0%BD%D0%B0%D1%81%D1%86%D1%8C" title="Упісаная акружнасць – beloruščina" lang="be" hreflang="be" data-title="Упісаная акружнасць" 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%A3%D0%BC%D0%B5%D0%B6%D0%B0%D0%BD%D0%B0%D1%8F_%D0%B0%D0%BA%D1%80%D1%83%D0%B6%D1%8B%D0%BD%D0%B0" title="Умежаная акружына – Belarusian (Taraškievica orthography)" lang="be-tarask" hreflang="be-tarask" data-title="Умежаная акружына" 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%92%D0%BF%D0%B8%D1%81%D0%B0%D0%BD%D0%B0_%D0%BE%D0%BA%D1%80%D1%8A%D0%B6%D0%BD%D0%BE%D1%81%D1%82" title="Вписана окръжност – bolgarščina" lang="bg" hreflang="bg" data-title="Вписана окръжност" data-language-autonym="Български" data-language-local-name="bolgarščina" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%D9%86%D8%A7%D9%88%DB%95_%D8%A8%D8%A7%D8%B2%D9%86%DB%95" title="ناوە بازنە – osrednja kurdščina" lang="ckb" hreflang="ckb" data-title="ناوە بازنە" data-language-autonym="کوردی" data-language-local-name="osrednja kurdščina" class="interlanguage-link-target"><span>کوردی</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Kru%C5%BEnice_vepsan%C3%A1" title="Kružnice vepsaná – češčina" lang="cs" hreflang="cs" data-title="Kružnice vepsaná" data-language-autonym="Čeština" data-language-local-name="češčina" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%A8%D0%B0%D0%BB_%C3%A7%D0%B0%D0%B2%D1%80%D0%B0%D0%BA%C4%83%D1%88" title="Шал çавракăш – čuvaščina" lang="cv" hreflang="cv" data-title="Шал çавракăш" data-language-autonym="Чӑвашла" data-language-local-name="čuvaščina" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Indskreven_cirkel" title="Indskreven cirkel – danščina" lang="da" hreflang="da" data-title="Indskreven cirkel" 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/Inkreis" title="Inkreis – nemščina" lang="de" hreflang="de" data-title="Inkreis" data-language-autonym="Deutsch" data-language-local-name="nemščina" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-en badge-Q70893996 mw-list-item" title=""><a href="https://en.wikipedia.org/wiki/Inscribed_circle" title="Inscribed circle – angleščina" lang="en" hreflang="en" data-title="Inscribed circle" data-language-autonym="English" data-language-local-name="angleščina" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Circunferencia_inscrita" title="Circunferencia inscrita – španščina" lang="es" hreflang="es" data-title="Circunferencia inscrita" data-language-autonym="Español" data-language-local-name="španščina" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Zirkunferentzia_inskribatu" title="Zirkunferentzia inskribatu – baskovščina" lang="eu" hreflang="eu" data-title="Zirkunferentzia inskribatu" data-language-autonym="Euskara" data-language-local-name="baskovščina" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa badge-Q70893996 mw-list-item" title=""><a href="https://fa.wikipedia.org/wiki/%D8%AF%D8%A7%DB%8C%D8%B1%D9%87_%D9%85%D8%AD%D8%A7%D8%B7%DB%8C_%D9%85%D8%AB%D9%84%D8%AB" title="دایره محاطی مثلث – perzijščina" lang="fa" hreflang="fa" data-title="دایره محاطی مثلث" 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/Kolmion_sis%C3%A4%C3%A4n_piirretty_ympyr%C3%A4" title="Kolmion sisään piirretty ympyrä – finščina" lang="fi" hreflang="fi" data-title="Kolmion sisään piirretty ympyrä" data-language-autonym="Suomi" data-language-local-name="finščina" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Cercle_inscrit" title="Cercle inscrit – francoščina" lang="fr" hreflang="fr" data-title="Cercle inscrit" data-language-autonym="Français" data-language-local-name="francoščina" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%9E%D7%A2%D7%92%D7%9C_%D7%97%D7%A1%D7%95%D7%9D" title="מעגל חסום – hebrejščina" lang="he" hreflang="he" data-title="מעגל חסום" data-language-autonym="עברית" data-language-local-name="hebrejščina" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Be%C3%ADrt_k%C3%B6r_(soksz%C3%B6g)" title="Beírt kör (sokszög) – madžarščina" lang="hu" hreflang="hu" data-title="Beírt kör (sokszög)" 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%86%D5%A5%D6%80%D5%A3%D5%AE%D5%B5%D5%A1%D5%AC_%D5%B7%D6%80%D5%BB%D5%A1%D5%B6%D5%A1%D5%A3%D5%AB%D5%AE" title="Ներգծյալ շրջանագիծ – armenščina" lang="hy" hreflang="hy" data-title="Ներգծյալ շրջանագիծ" data-language-autonym="Հայերեն" data-language-local-name="armenščina" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Incerchio" title="Incerchio – italijanščina" lang="it" hreflang="it" data-title="Incerchio" 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%86%85%E6%8E%A5%E5%86%86" title="内接円 – japonščina" lang="ja" hreflang="ja" data-title="内接円" 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-km mw-list-item"><a href="https://km.wikipedia.org/wiki/%E1%9E%85%E1%9F%86%E1%9E%93%E1%9E%BB%E1%9E%85%E1%9E%A0%E1%9F%92%E1%9E%82%E1%9F%82%E1%9E%9A%E1%9E%A0%E1%9F%92%E1%9E%82%E1%9F%84%E1%9E%93" title="ចំនុចហ្គែរហ្គោន – kmerščina" lang="km" hreflang="km" data-title="ចំនុចហ្គែរហ្គោន" 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%82%B4%EC%A0%91%EC%9B%90" title="내접원 – korejščina" lang="ko" hreflang="ko" data-title="내접원" data-language-autonym="한국어" data-language-local-name="korejščina" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%92%D0%BF%D0%B8%D1%88%D0%B0%D0%BD%D0%B0_%D0%BA%D1%80%D1%83%D0%B6%D0%BD%D0%B8%D1%86%D0%B0" title="Впишана кружница – makedonščina" lang="mk" hreflang="mk" data-title="Впишана кружница" data-language-autonym="Македонски" data-language-local-name="makedonščina" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-nds mw-list-item"><a href="https://nds.wikipedia.org/wiki/Binnenkrink" title="Binnenkrink – nizka nemščina" lang="nds" hreflang="nds" data-title="Binnenkrink" data-language-autonym="Plattdüütsch" data-language-local-name="nizka nemščina" class="interlanguage-link-target"><span>Plattdüütsch</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Ingeschreven_cirkel" title="Ingeschreven cirkel – nizozemščina" lang="nl" hreflang="nl" data-title="Ingeschreven cirkel" data-language-autonym="Nederlands" data-language-local-name="nizozemščina" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Okr%C4%85g_wpisany" title="Okrąg wpisany – poljščina" lang="pl" hreflang="pl" data-title="Okrąg wpisany" data-language-autonym="Polski" data-language-local-name="poljščina" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%92%D0%BF%D0%B8%D1%81%D0%B0%D0%BD%D0%BD%D0%B0%D1%8F_%D0%BE%D0%BA%D1%80%D1%83%D0%B6%D0%BD%D0%BE%D1%81%D1%82%D1%8C" title="Вписанная окружность – ruščina" lang="ru" hreflang="ru" data-title="Вписанная окружность" data-language-autonym="Русский" data-language-local-name="ruščina" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Vp%C3%ADsan%C3%A1_kru%C5%BEnica" title="Vpísaná kružnica – slovaščina" lang="sk" hreflang="sk" data-title="Vpísaná kružnica" data-language-autonym="Slovenčina" data-language-local-name="slovaščina" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Inskriven_cirkel" title="Inskriven cirkel – švedščina" lang="sv" hreflang="sv" data-title="Inskriven cirkel" data-language-autonym="Svenska" data-language-local-name="švedščina" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%92%D0%BF%D0%B8%D1%81%D0%B0%D0%BD%D0%B5_%D0%BA%D0%BE%D0%BB%D0%BE" title="Вписане коло – ukrajinščina" lang="uk" hreflang="uk" data-title="Вписане коло" data-language-autonym="Українська" data-language-local-name="ukrajinščina" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E5%86%85%E5%88%87%E5%9C%86" title="内切圆 – kitajščina" lang="zh" hreflang="zh" data-title="内切圆" data-language-autonym="中文" data-language-local-name="kitajščina" class="interlanguage-link-target"><span>中文</span></a></li><li class="interlanguage-link interwiki-zh-min-nan mw-list-item"><a href="https://zh-min-nan.wikipedia.org/wiki/L%C5%8De-chhiat-%C3%AE%E2%81%BF" title="Lōe-chhiat-îⁿ – min nan kitajščina" lang="nan" hreflang="nan" data-title="Lōe-chhiat-îⁿ" data-language-autonym="閩南語 / Bân-lâm-gú" data-language-local-name="min nan kitajščina" class="interlanguage-link-target"><span>閩南語 / Bân-lâm-gú</span></a></li> </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/Q354337#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/V%C4%8Drtana_kro%C5%BEnica" title="Ogled vsebinske strani [c]" accesskey="c"><span>Stran</span></a></li><li id="ca-talk" class="new vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Pogovor:V%C4%8Drtana_kro%C5%BEnica&action=edit&redlink=1" rel="discussion" class="new" title="Pogovor o vsebinski strani (stran ne obstaja) [t]" accesskey="t"><span>Pogovor</span></a></li> </ul> </div> </div> <div id="vector-variants-dropdown" class="vector-dropdown emptyPortlet" > <input type="checkbox" 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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"><figure class="mw-default-size mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/Slika:Triangle.Incircle.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/0/07/Triangle.Incircle.png" decoding="async" width="209" height="153" class="mw-file-element" data-file-width="209" data-file-height="153" /></a><figcaption>Trikotniku včrtana krožnica</figcaption></figure> <p><b>Včrtana krožnica</b> je v <a href="/wiki/Ravninska_geometrija" class="mw-redirect" title="Ravninska geometrija">ravninski geometriji</a> <a href="/wiki/Kro%C5%BEnica" title="Krožnica">krožnica</a>, ki ima vse stranice danega <a href="/wiki/Mnogokotnik" title="Mnogokotnik">mnogokotnika</a> za <a href="/wiki/Tangenta" title="Tangenta">tangente</a>. <a href="/wiki/Krog" title="Krog">Krog</a>, ki ga omejuje ta krožnica, se imenuje <b>včrtani krog</b>. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Obstoj_včrtane_krožnice"><span id="Obstoj_v.C4.8Drtane_kro.C5.BEnice"></span>Obstoj včrtane krožnice</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=V%C4%8Drtana_kro%C5%BEnica&veaction=edit&section=1" title="Uredi razdelek: Obstoj včrtane krožnice" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=V%C4%8Drtana_kro%C5%BEnica&action=edit&section=1" title="Urejanje izvorne kode razdelka: Obstoj včrtane krožnice"><span>uredi kodo</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Krožnico lahko včrtamo samo nekaterim mnogokotnikom. Takim mnogokotnikom rečemo <a href="/w/index.php?title=Tangentni_mnogokotnik&action=edit&redlink=1" class="new" title="Tangentni mnogokotnik (stran ne obstaja)">tangentni mnogokotniki</a>. </p><p>Če sta oba kraka danega <a href="/wiki/Kot" title="Kot">kota</a> tangenti neke krožnice, potem središče krožnice leži na <a href="/wiki/Simetrala" title="Simetrala">simetrali</a> kota. To nam omogoča konstrukcijo včrtane krožnice, pa tudi kriterij, kdaj včrtana krožnica sploh obstaja. Imejmo podan mnogokotnik: </p> <ul><li>Najprej konstruiramo simetrale vseh notranjih kotov.</li> <li>Če se simetrale vseh kotov sekajo v isti točki, potem včrtana krožnica obstaja in ta točka je <b>središče včrtane krožnice</b>.</li> <li><a href="/wiki/Polmer" title="Polmer">Polmer</a> včrtane krožnice je razdalja med središčem in poljubno stranico (merjeno pravokotno na to stranico).</li></ul> <p>Polmer včrtane krožnice je v novejših matematičnih učbenikih vedno označen z <i><b>r</b></i>, polmer očrtane krožnice pa z <i><b>R</b></i> (v starejših učbenikih je bil polmer včrtane krožnice <i><b><a href="/wiki/%CE%A1" class="mw-redirect" title="Ρ">ρ</a></b></i>, polmer očrtane krožnice pa <i><b>r</b></i>). </p><p>Nekateri mnogokotniki, ki jim lahko zagotovo včrtamo krožnico: </p> <ul><li><a href="/wiki/Trikotnik" title="Trikotnik">trikotnik</a></li> <li><a href="/wiki/Romb" title="Romb">romb</a></li> <li><a href="/wiki/Deltoid" title="Deltoid">deltoid</a></li> <li><a href="/wiki/Pravilni_mnogokotnik" title="Pravilni mnogokotnik">pravilni mnogokotnik</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="Trikotniku_včrtana_krožnica"><span id="Trikotniku_v.C4.8Drtana_kro.C5.BEnica"></span>Trikotniku včrtana krožnica</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=V%C4%8Drtana_kro%C5%BEnica&veaction=edit&section=2" title="Uredi razdelek: Trikotniku včrtana krožnica" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=V%C4%8Drtana_kro%C5%BEnica&action=edit&section=2" title="Urejanje izvorne kode razdelka: Trikotniku včrtana krožnica"><span>uredi kodo</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/Slika:Incircle_and_Excircles.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/6/6f/Incircle_and_Excircles.svg/220px-Incircle_and_Excircles.svg.png" decoding="async" width="220" height="247" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/6f/Incircle_and_Excircles.svg/330px-Incircle_and_Excircles.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/6f/Incircle_and_Excircles.svg/440px-Incircle_and_Excircles.svg.png 2x" data-file-width="390" data-file-height="438" /></a><figcaption>Trikotniku včrtana krožnica in tri pričrtane krožnice. Središča pričrtanih krožnic dobimo s simetralami zunanjih kotov.</figcaption></figure> <p><a href="/wiki/Trikotnik" title="Trikotnik">Trikotnik</a> ima značilnost, da se simetrale notranjih kotov vedno sekajo v isti točki, zato lahko trikotniku vedno včrtamo krožnico. Za polmer včrtane krožnice velja naslednja povezava s <a href="/wiki/Plo%C5%A1%C4%8Dina" title="Ploščina">ploščino</a> (<i>p</i>) trikotnika: </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 r={\frac {p}{s}}\!\,.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>r</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>p</mi> <mi>s</mi> </mfrac> </mrow> <mspace width="negativethinmathspace" /> <mspace width="thinmathspace" /> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle r={\frac {p}{s}}\!\,.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/dd9f169df138b4ae1e5826d188fa1e449b814623" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:6.8ex; height:4.843ex;" alt="{\displaystyle r={\frac {p}{s}}\!\,.}"></span></dd></dl> <p>Pri tem je <i>s</i> polovični obseg (<a href="/w/index.php?title=Polobseg&action=edit&redlink=1" class="new" title="Polobseg (stran ne obstaja)">polobseg</a>) trikotnika (enako kot pri <a href="/wiki/Heronova_formula" title="Heronova formula">Heronovi formuli</a>): <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle s={\frac {a+b+c}{2}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>s</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>a</mi> <mo>+</mo> <mi>b</mi> <mo>+</mo> <mi>c</mi> </mrow> <mn>2</mn> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle s={\frac {a+b+c}{2}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/787a98dac5681f383514fc1bd5b4d8e561a3fd21" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:13.94ex; height:5.343ex;" alt="{\displaystyle s={\frac {a+b+c}{2}}}"></span> </p> <div class="mw-heading mw-heading2"><h2 id="Štirikotniku_včrtana_krožnica"><span id=".C5.A0tirikotniku_v.C4.8Drtana_kro.C5.BEnica"></span>Štirikotniku včrtana krožnica</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=V%C4%8Drtana_kro%C5%BEnica&veaction=edit&section=3" title="Uredi razdelek: Štirikotniku včrtana krožnica" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=V%C4%8Drtana_kro%C5%BEnica&action=edit&section=3" title="Urejanje izvorne kode razdelka: Štirikotniku včrtana krožnica"><span>uredi kodo</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Krožnico lahko včrtamo smo nekaterim <a href="/wiki/%C5%A0tirikotnik" title="Štirikotnik">štirikotnikom</a> - imenujemo jih <a href="/wiki/Tangentni_%C5%A1tirikotnik" title="Tangentni štirikotnik">tangentni štirikotniki</a>. </p><p>Karakteristična za tangentne štirikotnike je značilnost, da sta vsoti nasprotnih stranic enaki: </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 a+c=b+d\!\,.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> <mo>+</mo> <mi>c</mi> <mo>=</mo> <mi>b</mi> <mo>+</mo> <mi>d</mi> <mspace width="negativethinmathspace" /> <mspace width="thinmathspace" /> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a+c=b+d\!\,.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/138e480f442ac06927405d2ae05984d970898062" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:13.876ex; height:2.343ex;" alt="{\displaystyle a+c=b+d\!\,.}"></span></dd></dl> <p>Za polmer včrtane krožnice velja podobna povezava s <a href="/wiki/Plo%C5%A1%C4%8Dina" title="Ploščina">ploščino</a> (<i>p</i>) kot pri trikotniku: </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 r={\frac {p}{s}}\!\,.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>r</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>p</mi> <mi>s</mi> </mfrac> </mrow> <mspace width="negativethinmathspace" /> <mspace width="thinmathspace" /> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle r={\frac {p}{s}}\!\,.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/dd9f169df138b4ae1e5826d188fa1e449b814623" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:6.8ex; height:4.843ex;" alt="{\displaystyle r={\frac {p}{s}}\!\,.}"></span></dd></dl> <p>Pri tem je <i>s</i> polovični obseg štirikotnika: <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle s={\frac {a+b+c+d}{2}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>s</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>a</mi> <mo>+</mo> <mi>b</mi> <mo>+</mo> <mi>c</mi> <mo>+</mo> <mi>d</mi> </mrow> <mn>2</mn> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle s={\frac {a+b+c+d}{2}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/26a6c920113669712d86ee8baf3c58fc683de8dd" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:17.996ex; height:5.343ex;" alt="{\displaystyle s={\frac {a+b+c+d}{2}}}"></span> </p> <div class="mw-heading mw-heading2"><h2 id="Glej_tudi">Glej tudi</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=V%C4%8Drtana_kro%C5%BEnica&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=V%C4%8Drtana_kro%C5%BEnica&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/O%C4%8Drtana_kro%C5%BEnica" title="Očrtana krožnica">očrtana krožnica</a></li> <li><a href="/wiki/Apotema" title="Apotema">apotema</a></li></ul> <p><br clear="all" /> </p> <div role="navigation" class="navbox" aria-labelledby="Mnogokotniki_(2-politopi)" style="padding:3px"><table class="nowraplinks mw-collapsible autocollapse navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><style data-mw-deduplicate="TemplateStyles:r5911192">.mw-parser-output .navbar{display:inline;font-size:88%;font-weight:normal}.mw-parser-output .navbar-collapse{float:left;text-align:left}.mw-parser-output .navbar-boxtext{word-spacing:0}.mw-parser-output .navbar ul{display:inline-block;white-space:nowrap;line-height:inherit}.mw-parser-output .navbar-brackets::before{margin-right:-0.125em;content:"[ "}.mw-parser-output .navbar-brackets::after{margin-left:-0.125em;content:" ]"}.mw-parser-output .navbar li{word-spacing:-0.125em}.mw-parser-output .navbar a>span,.mw-parser-output .navbar a>abbr{text-decoration:inherit}.mw-parser-output .navbar-mini abbr{font-variant:small-caps;border-bottom:none;text-decoration:none;cursor:inherit}.mw-parser-output .navbar-ct-full{font-size:114%;margin:0 7em}.mw-parser-output .navbar-ct-mini{font-size:114%;margin:0 4em}</style><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-prikaži"><a href="/wiki/Predloga:Mnogokotniki" title="Predloga:Mnogokotniki"><abbr title="Prikaži to predlogo" style=";;background:none transparent;color:inherit;border:none;-moz-box-shadow:none;-webkit-box-shadow:none;box-shadow:none;">p</abbr></a></li><li class="nv-pogovor"><a href="/w/index.php?title=Pogovor_o_predlogi:Mnogokotniki&action=edit&redlink=1" class="new" title="Pogovor o predlogi:Mnogokotniki (stran ne obstaja)"><abbr title="Pogovor o tej predlogi" style=";;background:none transparent;color:inherit;border:none;-moz-box-shadow:none;-webkit-box-shadow:none;box-shadow:none;">p</abbr></a></li><li class="nv-uredi"><a class="external text" href="https://sl.wikipedia.org/w/index.php?title=Predloga:Mnogokotniki&action=edit"><abbr title="Uredi to predlogo" style=";;background:none transparent;color:inherit;border:none;-moz-box-shadow:none;-webkit-box-shadow:none;box-shadow:none;">u</abbr></a></li></ul></div><div id="Mnogokotniki_(2-politopi)" style="font-size:114%;margin:0 4em"><a href="/wiki/Mnogokotnik" title="Mnogokotnik">Mnogokotniki</a> (<a href="/wiki/Politop" title="Politop">2-politopi</a>)</div></th></tr><tr><th scope="row" class="navbox-group" style="width:1%"><span class="nowrap">1-2-kotnika</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/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 class="mw-selflink selflink">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 href="/wiki/Obseg" title="Obseg">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>    </div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1" alt="" width="1" height="1" style="border: none; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">Pridobljeno iz »<a dir="ltr" href="https://sl.wikipedia.org/w/index.php?title=Včrtana_krožnica&oldid=4570323">https://sl.wikipedia.org/w/index.php?title=Včrtana_krožnica&oldid=4570323</a>«</div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a href="/wiki/Posebno:Kategorije" 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