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Onbeşgen - Vikipedi

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cdx-search-input__end-button">Ara</button> </form> </div> </div> </div> <nav class="vector-user-links vector-user-links-wide" aria-label="Kişisel araçlar"> <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="Görünüm"> <div id="vector-appearance-dropdown" class="vector-dropdown " title="Sayfanın yazı tipi boyutunun, genişliğinin ve renginin görünümünü değiştirin" > <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="Görünüm" > <label 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href="//donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&amp;utm_medium=sidebar&amp;utm_campaign=C13_tr.wikipedia.org&amp;uselang=tr" class=""><span>Bağış yapın</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=%C3%96zel:HesapOlu%C5%9Ftur&amp;returnto=Onbe%C5%9Fgen" title="Bir hesap oluşturup oturum açmanız tavsiye edilmektedir ancak bu zorunlu değildir" class=""><span>Hesap oluştur</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=%C3%96zel:Kullan%C4%B1c%C4%B1OturumuA%C3%A7ma&amp;returnto=Onbe%C5%9Fgen" title="Oturum açmanız tavsiye edilmektedir; ancak bu zorunlu değildir [o]" accesskey="o" class=""><span>Oturum aç</span></a> </li> </ul> </div> </div> </div> <div id="vector-user-links-dropdown" class="vector-dropdown vector-user-menu 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<div id="p-user-menu-anon-editor" class="vector-menu mw-portlet mw-portlet-user-menu-anon-editor" > <div class="vector-menu-heading"> Çıkış yapmış editörler için sayfalar <a href="/wiki/Yard%C4%B1m:Giri%C5%9F" aria-label="Değişiklik yapma hakkında daha fazla bilgi edinin"><span>daha fazla bilgi</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/%C3%96zel:Katk%C4%B1lar%C4%B1m" title="Bu IP adresinden yapılmış değişiklikler listesi [y]" accesskey="y"><span>Katkılar</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/%C3%96zel:MesajSayfam" title="Bu IP adresindeki düzenlemeler hakkında tartışma [n]" accesskey="n"><span>Mesaj</span></a></li> </ul> </div> </div> </div> </div> </nav> </div> </header> </div> <div class="mw-page-container"> <div class="mw-page-container-inner"> <div class="vector-sitenotice-container"> <div id="siteNotice"><!-- CentralNotice --></div> </div> <div class="vector-column-start"> <div class="vector-main-menu-container"> <div id="mw-navigation"> <nav id="mw-panel" class="vector-main-menu-landmark" aria-label="Site"> <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="İçindekiler" 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">İçindekiler</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">kenar çubuğuna taşı</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">gizle</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">Giriş</div> </a> </li> <li id="toc-Özellikleri" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Özellikleri"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Özellikleri</span> </div> </a> <ul id="toc-Özellikleri-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Çizimi" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Çizimi"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Çizimi</span> </div> </a> <ul id="toc-Çizimi-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="İçindekiler" 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="İçindekiler tablosunu değiştir" > <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">İçindekiler tablosunu değiştir</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">Onbeşgen</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="Başka bir dildeki sayfaya gidin. 40 dilde mevcut" > <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-40" 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">40 dil</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%AE%D9%85%D8%B3_%D8%B9%D8%B4%D8%B1%D9%8A_%D8%A7%D9%84%D8%A3%D8%B6%D9%84%D8%A7%D8%B9" title="خمس عشري الأضلاع - Arapça" lang="ar" hreflang="ar" data-title="خمس عشري الأضلاع" data-language-autonym="العربية" data-language-local-name="Arapça" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://ast.wikipedia.org/wiki/Pentadec%C3%A1gonu" title="Pentadecágonu - Asturyasça" lang="ast" hreflang="ast" data-title="Pentadecágonu" data-language-autonym="Asturianu" data-language-local-name="Asturyasça" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%9F%D0%B5%D1%82%D0%BD%D0%B0%D0%B4%D0%B5%D1%81%D0%B5%D1%82%D0%BE%D1%8A%D0%B3%D1%8A%D0%BB%D0%BD%D0%B8%D0%BA" title="Петнадесетоъгълник - Bulgarca" lang="bg" hreflang="bg" data-title="Петнадесетоъгълник" data-language-autonym="Български" data-language-local-name="Bulgarca" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Pentadec%C3%A0gon" title="Pentadecàgon - Katalanca" lang="ca" hreflang="ca" data-title="Pentadecàgon" data-language-autonym="Català" data-language-local-name="Katalanca" 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/%D9%BE%D8%A7%D8%B2%D8%AF%DB%95%D9%84%D8%A7" title="پازدەلا - Orta Kürtçe" lang="ckb" hreflang="ckb" data-title="پازدەلا" data-language-autonym="کوردی" data-language-local-name="Orta Kürtçe" 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/Patn%C3%A1cti%C3%BAheln%C3%ADk" title="Patnáctiúhelník - Çekçe" lang="cs" hreflang="cs" data-title="Patnáctiúhelník" data-language-autonym="Čeština" data-language-local-name="Çekçe" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Pentadekagon" title="Pentadekagon - Danca" lang="da" hreflang="da" data-title="Pentadekagon" data-language-autonym="Dansk" data-language-local-name="Danca" 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/F%C3%BCnfzehneck" title="Fünfzehneck - Almanca" lang="de" hreflang="de" data-title="Fünfzehneck" data-language-autonym="Deutsch" data-language-local-name="Almanca" 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%94%CE%B5%CE%BA%CE%B1%CF%80%CE%B5%CE%BD%CF%84%CE%AC%CE%B3%CF%89%CE%BD%CE%BF" title="Δεκαπεντάγωνο - Yunanca" lang="el" hreflang="el" data-title="Δεκαπεντάγωνο" data-language-autonym="Ελληνικά" data-language-local-name="Yunanca" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-eml mw-list-item"><a href="https://eml.wikipedia.org/wiki/Pentadec%C3%A0gon" title="Pentadecàgon - Emiliano-Romagnolo" lang="egl" hreflang="egl" data-title="Pentadecàgon" data-language-autonym="Emiliàn e rumagnòl" data-language-local-name="Emiliano-Romagnolo" class="interlanguage-link-target"><span>Emiliàn e rumagnòl</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Pentadecagon" title="Pentadecagon - İngilizce" lang="en" hreflang="en" data-title="Pentadecagon" data-language-autonym="English" data-language-local-name="İngilizce" 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/Pentadec%C3%A1gono" title="Pentadecágono - İspanyolca" lang="es" hreflang="es" data-title="Pentadecágono" data-language-autonym="Español" data-language-local-name="İspanyolca" 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/Pentadekagono" title="Pentadekagono - Baskça" lang="eu" hreflang="eu" data-title="Pentadekagono" data-language-autonym="Euskara" data-language-local-name="Baskça" 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%BE%D8%A7%D9%86%D8%B2%D8%AF%D9%87%E2%80%8C%D8%B6%D9%84%D8%B9%DB%8C" title="پانزده‌ضلعی - Farsça" lang="fa" hreflang="fa" data-title="پانزده‌ضلعی" data-language-autonym="فارسی" data-language-local-name="Farsça" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Pentad%C3%A9cagone" title="Pentadécagone - Fransızca" lang="fr" hreflang="fr" data-title="Pentadécagone" data-language-autonym="Français" data-language-local-name="Fransızca" 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/Pentadec%C3%A1gono" title="Pentadecágono - Galiçyaca" lang="gl" hreflang="gl" data-title="Pentadecágono" data-language-autonym="Galego" data-language-local-name="Galiçyaca" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Tizen%C3%B6tsz%C3%B6g" title="Tizenötszög - Macarca" lang="hu" hreflang="hu" data-title="Tizenötszög" data-language-autonym="Magyar" data-language-local-name="Macarca" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Pentadekagon" title="Pentadekagon - Endonezce" lang="id" hreflang="id" data-title="Pentadekagon" data-language-autonym="Bahasa Indonesia" data-language-local-name="Endonezce" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Pentadecagono" title="Pentadecagono - İtalyanca" lang="it" hreflang="it" data-title="Pentadecagono" data-language-autonym="İtaliano" data-language-local-name="İtalyanca" class="interlanguage-link-target"><span>İtaliano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E5%8D%81%E4%BA%94%E8%A7%92%E5%BD%A2" title="十五角形 - Japonca" lang="ja" hreflang="ja" data-title="十五角形" data-language-autonym="日本語" data-language-local-name="Japonca" 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%9C%E1%83%A2%E1%83%90%E1%83%93%E1%83%94%E1%83%99%E1%83%90%E1%83%92%E1%83%9D%E1%83%9C%E1%83%98" title="პენტადეკაგონი - Gürcüce" lang="ka" hreflang="ka" data-title="პენტადეკაგონი" data-language-autonym="ქართული" data-language-local-name="Gürcüce" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EC%8B%AD%EC%98%A4%EA%B0%81%ED%98%95" title="십오각형 - Korece" lang="ko" hreflang="ko" data-title="십오각형" data-language-autonym="한국어" data-language-local-name="Korece" 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%9F%D0%B5%D1%82%D0%BD%D0%B0%D0%B5%D1%81%D0%B5%D1%82%D0%B0%D0%B3%D0%BE%D0%BB%D0%BD%D0%B8%D0%BA" title="Петнаесетаголник - Makedonca" lang="mk" hreflang="mk" data-title="Петнаесетаголник" data-language-autonym="Македонски" data-language-local-name="Makedonca" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Pentadekagon" title="Pentadekagon - Malayca" lang="ms" hreflang="ms" data-title="Pentadekagon" data-language-autonym="Bahasa Melayu" data-language-local-name="Malayca" 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/Vijftienhoek" title="Vijftienhoek - Felemenkçe" lang="nl" hreflang="nl" data-title="Vijftienhoek" data-language-autonym="Nederlands" data-language-local-name="Felemenkçe" 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/Pentadekagon" title="Pentadekagon - Norveççe Nynorsk" lang="nn" hreflang="nn" data-title="Pentadekagon" data-language-autonym="Norsk nynorsk" data-language-local-name="Norveççe Nynorsk" 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/Pentadekagon" title="Pentadekagon - Norveççe Bokmål" lang="nb" hreflang="nb" data-title="Pentadekagon" data-language-autonym="Norsk bokmål" data-language-local-name="Norveççe Bokmål" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-pl badge-Q70893996 mw-list-item" title=""><a href="https://pl.wikipedia.org/wiki/Pi%C4%99tnastok%C4%85t" title="Piętnastokąt - Lehçe" lang="pl" hreflang="pl" data-title="Piętnastokąt" data-language-autonym="Polski" data-language-local-name="Lehçe" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pt badge-Q70893996 mw-list-item" title=""><a href="https://pt.wikipedia.org/wiki/Pentadec%C3%A1gono" title="Pentadecágono - Portekizce" lang="pt" hreflang="pt" data-title="Pentadecágono" data-language-autonym="Português" data-language-local-name="Portekizce" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Pentadecagon" title="Pentadecagon - Rumence" lang="ro" hreflang="ro" data-title="Pentadecagon" data-language-autonym="Română" data-language-local-name="Rumence" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%9F%D1%8F%D1%82%D0%BD%D0%B0%D0%B4%D1%86%D0%B0%D1%82%D0%B8%D1%83%D0%B3%D0%BE%D0%BB%D1%8C%D0%BD%D0%B8%D0%BA" title="Пятнадцатиугольник - Rusça" lang="ru" hreflang="ru" data-title="Пятнадцатиугольник" data-language-autonym="Русский" data-language-local-name="Rusça" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Pentadecagon" title="Pentadecagon - Simple English" lang="en-simple" hreflang="en-simple" data-title="Pentadecagon" 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-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Petnajstkotnik" title="Petnajstkotnik - Slovence" lang="sl" hreflang="sl" data-title="Petnajstkotnik" data-language-autonym="Slovenščina" data-language-local-name="Slovence" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%9F%D0%B5%D1%82%D0%BD%D0%B0%D0%B5%D1%81%D1%82%D0%BE%D1%83%D0%B3%D0%B0%D0%BE" title="Петнаестоугао - Sırpça" lang="sr" hreflang="sr" data-title="Петнаестоугао" data-language-autonym="Српски / srpski" data-language-local-name="Sırpça" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Pentadekagon" title="Pentadekagon - İsveççe" lang="sv" hreflang="sv" data-title="Pentadekagon" data-language-autonym="Svenska" data-language-local-name="İsveççe" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%A3%E0%B8%B9%E0%B8%9B%E0%B8%AA%E0%B8%B4%E0%B8%9A%E0%B8%AB%E0%B9%89%E0%B8%B2%E0%B9%80%E0%B8%AB%E0%B8%A5%E0%B8%B5%E0%B9%88%E0%B8%A2%E0%B8%A1" title="รูปสิบห้าเหลี่ยม - Tayca" lang="th" hreflang="th" data-title="รูปสิบห้าเหลี่ยม" data-language-autonym="ไทย" data-language-local-name="Tayca" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%9F%27%D1%8F%D1%82%D0%BD%D0%B0%D0%B4%D1%86%D1%8F%D1%82%D0%B8%D0%BA%D1%83%D1%82%D0%BD%D0%B8%D0%BA" title="П&#039;ятнадцятикутник - Ukraynaca" lang="uk" hreflang="uk" data-title="П&#039;ятнадцятикутник" data-language-autonym="Українська" data-language-local-name="Ukraynaca" 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%BE%D9%86%D8%AF%D8%B1%DB%81_%D8%A7%D8%B6%D9%84%D8%A7%D8%B9" title="پندرہ اضلاع - Urduca" lang="ur" hreflang="ur" data-title="پندرہ اضلاع" data-language-autonym="اردو" data-language-local-name="Urduca" class="interlanguage-link-target"><span>اردو</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E5%8D%81%E4%BA%94%E8%BE%B9%E5%BD%A2" title="十五边形 - Çince" lang="zh" hreflang="zh" data-title="十五边形" data-language-autonym="中文" data-language-local-name="Çince" class="interlanguage-link-target"><span>中文</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E5%8D%81%E4%BA%94%E9%82%8A%E5%BD%A2" title="十五邊形 - Kantonca" lang="yue" hreflang="yue" data-title="十五邊形" data-language-autonym="粵語" data-language-local-name="Kantonca" class="interlanguage-link-target"><span>粵語</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q845250#sitelinks-wikipedia" title="Dillerarası bağlantıları değiştir" class="wbc-editpage">Bağlantıları değiştir</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="Ad alanları"> <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/Onbe%C5%9Fgen" title="İçerik sayfasını göster [c]" accesskey="c"><span>Madde</span></a></li><li id="ca-talk" class="vector-tab-noicon mw-list-item"><a href="/wiki/Tart%C4%B1%C5%9Fma:Onbe%C5%9Fgen" rel="discussion" title="İçerik ile ilgili tartışma [t]" accesskey="t"><span>Tartışma</span></a></li> </ul> </div> </div> <div id="vector-variants-dropdown" class="vector-dropdown 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colspan="2"><span typeof="mw:File"><a href="/wiki/Dosya:Regular_polygon_15_annotated.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/d/d0/Regular_polygon_15_annotated.svg/300px-Regular_polygon_15_annotated.svg.png" decoding="async" width="300" height="299" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/d0/Regular_polygon_15_annotated.svg/450px-Regular_polygon_15_annotated.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/d0/Regular_polygon_15_annotated.svg/600px-Regular_polygon_15_annotated.svg.png 2x" data-file-width="512" data-file-height="510" /></a></span><br /> </td></tr> <tr> <td bgcolor="#e7dcc3"><a href="/wiki/Kenar_(geometri)" title="Kenar (geometri)">Kenarları</a> ve <a href="/wiki/K%C3%B6%C5%9Fe" title="Köşe">köşeleri</a></td> <td>15 </td></tr> <tr> <td bgcolor="#e7dcc3"><a href="/wiki/Boyut" title="Boyut">Boyutları</a></td> <td>(D<sub>15</sub>) </td></tr> <tr> <td bgcolor="#e7dcc3"><a href="/wiki/Alan" title="Alan">Alanı</a></td> <td>:<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 {\begin{aligned}A&amp;={\frac {15}{4}}a^{2}\cot {\frac {\pi }{15}}\\&amp;={\frac {15a^{2}}{8}}\left({\sqrt {3}}+{\sqrt {15}}+{\sqrt {2}}{\sqrt {5+{\sqrt {5}}}}\right)\\&amp;\simeq 17.6424\,a^{2}.\end{aligned}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mtable columnalign="right left right left right left right left right left right left" rowspacing="3pt" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true"> <mtr> <mtd> <mi>A</mi> </mtd> <mtd> <mi></mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>15</mn> <mn>4</mn> </mfrac> </mrow> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mi>cot</mi> <mo>&#x2061;<!-- ⁡ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>&#x03C0;<!-- π --></mi> <mn>15</mn> </mfrac> </mrow> </mtd> </mtr> <mtr> <mtd /> <mtd> <mi></mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mn>15</mn> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> <mn>8</mn> </mfrac> </mrow> <mrow> <mo>(</mo> <mrow> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>3</mn> </msqrt> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>15</mn> </msqrt> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>2</mn> </msqrt> </mrow> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>5</mn> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>5</mn> </msqrt> </mrow> </msqrt> </mrow> </mrow> <mo>)</mo> </mrow> </mtd> </mtr> <mtr> <mtd /> <mtd> <mi></mi> <mo>&#x2243;<!-- ≃ --></mo> <mn>17.6424</mn> <mspace width="thinmathspace" /> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>.</mo> </mtd> </mtr> </mtable> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\begin{aligned}A&amp;={\frac {15}{4}}a^{2}\cot {\frac {\pi }{15}}\\&amp;={\frac {15a^{2}}{8}}\left({\sqrt {3}}+{\sqrt {15}}+{\sqrt {2}}{\sqrt {5+{\sqrt {5}}}}\right)\\&amp;\simeq 17.6424\,a^{2}.\end{aligned}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4735385dd62be4a755a8916f65cb566aca98a69d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -6.838ex; width:40.41ex; height:14.843ex;" alt="{\displaystyle {\begin{aligned}A&amp;={\frac {15}{4}}a^{2}\cot {\frac {\pi }{15}}\\&amp;={\frac {15a^{2}}{8}}\left({\sqrt {3}}+{\sqrt {15}}+{\sqrt {2}}{\sqrt {5+{\sqrt {5}}}}\right)\\&amp;\simeq 17.6424\,a^{2}.\end{aligned}}}"></span> </td></tr> <tr> <td bgcolor="#e7dcc3">Bir iç açısının ölçüsü</td> <td>156° </td></tr></tbody></table><style data-mw-deduplicate="TemplateStyles:r33092931">.mw-parser-output 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//upload.wikimedia.org/wikipedia/commons/thumb/8/88/Stereographic_projection_in_3D.svg/440px-Stereographic_projection_in_3D.svg.png 2x" data-file-width="870" data-file-height="639" /></a></span><div class="sidebar-caption">Bir <a href="/wiki/D%C3%BCzlem" title="Düzlem">düzleme</a>, bir <a href="/wiki/K%C3%BCre" title="Küre">kürenin</a> <a href="/wiki/Tasar%C4%B1_geometri" title="Tasarı geometri">yansıtılması</a></div></td></tr><tr><td class="sidebar-above" style="border:none; background:#ddf;padding:0 0 0.15em;text-align:center; display:block;margin:0 1px 0.4em;"> <div class="hlist hlist-separated" style="display:inline-block;"><ul><li><a href="/wiki/Geometrinin_ana_hatlar%C4%B1" title="Geometrinin ana hatları">Ana hatları</a></li><li><a href="/wiki/Geometri_tarihi" title="Geometri tarihi">Tarihi</a></li></ul></div></td></tr><tr><td class="sidebar-content"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="background:#ddf; text-align:center;"><a href="/w/index.php?title=Geometri_konular%C4%B1n%C4%B1n_listesi&amp;action=edit&amp;redlink=1" class="new" title="Geometri konularının listesi (sayfa mevcut değil)">Dalları</a></div><div class="sidebar-list-content mw-collapsible-content hlist"> <ul><li><a href="/wiki/%C3%96klid_geometrisi" title="Öklid geometrisi">Öklidsel</a></li> <li><a href="/wiki/%C3%96klit_d%C4%B1%C5%9F%C4%B1_geometri" class="mw-redirect" title="Öklit dışı geometri">Öklid dışı</a> <ul><li><a href="/w/index.php?title=Eliptik_geometri&amp;action=edit&amp;redlink=1" class="new" title="Eliptik geometri (sayfa mevcut değil)">Eliptik</a> <ul><li><a href="/w/index.php?title=K%C3%BCresel_geometri&amp;action=edit&amp;redlink=1" class="new" title="Küresel geometri (sayfa mevcut değil)">Küresel</a></li></ul></li> <li><a href="/wiki/Hiperbolik_geometri" title="Hiperbolik geometri">Hiperbolik</a></li></ul></li> <li><a href="/wiki/Tasar%C4%B1_geometri" title="Tasarı geometri">Tasarı</a></li> <li><a href="/w/index.php?title=Sentetik_geometri&amp;action=edit&amp;redlink=1" class="new" title="Sentetik geometri (sayfa mevcut değil)">Sentetik</a></li> <li><a href="/wiki/Analitik_geometri" title="Analitik geometri">Analitik</a></li> <li><a href="/wiki/Cebirsel_geometri" title="Cebirsel geometri">Cebirsel</a> <ul><li><a href="/w/index.php?title=Aritmetik_geometri&amp;action=edit&amp;redlink=1" class="new" title="Aritmetik geometri (sayfa mevcut değil)">Aritmetik</a></li> <li><a href="/w/index.php?title=Diyofant_geometrisi&amp;action=edit&amp;redlink=1" class="new" title="Diyofant geometrisi (sayfa mevcut değil)">Diyofant</a></li></ul></li> <li><a href="/wiki/Diferansiyel_geometri" title="Diferansiyel geometri">Diferansiyel</a> <ul><li><a href="/wiki/Riemann_geometrisi" title="Riemann geometrisi">Riemannian</a></li> <li><a href="/w/index.php?title=Semplektik_geometri&amp;action=edit&amp;redlink=1" class="new" title="Semplektik geometri (sayfa mevcut değil)">Semplektik</a></li> <li><a href="/wiki/Ayr%C4%B1k_diferansiyel_geometri" title="Ayrık diferansiyel geometri">Ayrık diferansiyel</a></li></ul></li> <li><a href="/w/index.php?title=Karma%C5%9F%C4%B1k_geometri&amp;action=edit&amp;redlink=1" class="new" title="Karmaşık geometri (sayfa mevcut değil)">Karmaşık</a></li> <li><a href="/w/index.php?title=Sonlu_geometri&amp;action=edit&amp;redlink=1" class="new" title="Sonlu geometri (sayfa mevcut değil)">Sonlu</a></li> <li><a href="/w/index.php?title=Ayr%C4%B1k_geometri&amp;action=edit&amp;redlink=1" class="new" title="Ayrık geometri (sayfa mevcut değil)">Ayrık/Kombinatoryal</a> <ul><li><a href="/w/index.php?title=Dijital_geometri&amp;action=edit&amp;redlink=1" class="new" title="Dijital geometri (sayfa mevcut değil)">Dijital</a></li></ul></li> <li><a href="/w/index.php?title=Konveks_geometri&amp;action=edit&amp;redlink=1" class="new" title="Konveks geometri (sayfa mevcut değil)">Konveks</a></li> <li><a href="/wiki/Hesaplamal%C4%B1_geometri" title="Hesaplamalı geometri">Hesaplamalı</a></li> <li><a href="/wiki/Fraktal" title="Fraktal">Fraktal</a></li></ul></div></div></td> </tr><tr><td class="sidebar-content"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="background:#ddf; text-align:center;"><div class="hlist hlist-separated" style="display:inline-block;"><ul><li>Kavramlar</li><li>Özellikler</li></ul></div></div><div class="sidebar-list-content mw-collapsible-content hlist"><a href="/wiki/Boyut" title="Boyut">Boyut</a> <ul><li><a href="/wiki/Pergel_ve_%C3%A7izgilik_%C3%A7izimleri" title="Pergel ve çizgilik çizimleri">Pergel ve çizgilik çizimleri</a></li></ul> <ul><li><a href="/wiki/A%C3%A7%C4%B1" title="Açı">Açı</a></li> <li><a href="/wiki/E%C4%9Fri" title="Eğri">Eğri</a></li> <li><a href="/wiki/K%C3%B6%C5%9Fegen" title="Köşegen">Köşegen</a></li> <li><a href="/w/index.php?title=Ortogonalite&amp;action=edit&amp;redlink=1" class="new" title="Ortogonalite (sayfa mevcut değil)">Ortogonalite</a> (<a href="/wiki/Dik" title="Dik">Dik</a>)</li> <li><a href="/wiki/Paralel" title="Paralel">Paralel</a></li> <li><a href="/wiki/K%C3%B6%C5%9Fenokta" class="mw-redirect" title="Köşenokta">Köşenokta</a></li></ul> <ul><li><a href="/wiki/E%C5%9Fle%C5%9Fik" title="Eşleşik">Eşleşik</a></li> <li><a href="/wiki/Benzerlik_(geometri)" title="Benzerlik (geometri)">Benzerlik</a></li> <li><a href="/wiki/Simetri" title="Simetri">Simetri</a></li></ul></div></div></td> </tr><tr><td class="sidebar-content"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="background:#ddf; text-align:center;"><a href="/w/index.php?title=S%C4%B1f%C4%B1r_boyutlu_uzay&amp;action=edit&amp;redlink=1" class="new" title="Sıfır boyutlu uzay (sayfa mevcut değil)">Sıfır boyutlu</a></div><div class="sidebar-list-content mw-collapsible-content hlist"> <ul><li><a href="/wiki/Nokta_(geometri)" title="Nokta (geometri)">Nokta</a></li></ul></div></div></td> </tr><tr><td class="sidebar-content"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="background:#ddf; text-align:center;"><a href="/w/index.php?title=Bir_boyutlu_uzay&amp;action=edit&amp;redlink=1" class="new" title="Bir boyutlu uzay (sayfa mevcut değil)">Bir boyutlu</a></div><div class="sidebar-list-content mw-collapsible-content hlist"> <ul><li><a href="/wiki/Do%C4%9Fru_(geometri)" title="Doğru (geometri)">Doğru</a> <ul><li><a href="/wiki/Do%C4%9Fru_par%C3%A7as%C4%B1" title="Doğru parçası">parçası</a></li> <li><a href="/wiki/Do%C4%9Fru_(geometri)#Genişlemeleri" title="Doğru (geometri)">ışın</a></li></ul></li> <li><a href="/wiki/Uzunluk" title="Uzunluk">Uzunluk</a></li></ul></div></div></td> </tr><tr><td class="sidebar-content"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="background:#ddf; text-align:center;"><a href="/wiki/%C4%B0ki_boyutlu_uzay" title="İki boyutlu uzay">İki boyutlu</a></div><div class="sidebar-list-content mw-collapsible-content hlist" style="padding-bottom:0;"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r33092931"><table class="sidebar nomobile" style="background-color: transparent; border-collapse:collapse; border-spacing:0px; border:none; width:100%; margin:0px; font-size:100%; clear:none; float:none"><tbody><tr><td class="sidebar-content" style="padding:0.2em 0.4em 0.6em;"> <ul><li><a href="/wiki/D%C3%BCzlem" title="Düzlem">Düzlem</a></li> <li><a href="/wiki/Alan" title="Alan">Alan</a></li> <li><a href="/wiki/%C3%87okgen" title="Çokgen">Çokgen</a></li></ul></td> </tr><tr><th class="sidebar-heading" style="background:#e6e6ff; font-weight:normal;"> <a href="/wiki/%C3%9C%C3%A7gen" title="Üçgen">Üçgen</a></th></tr><tr><td class="sidebar-content" style="padding:0.2em 0.4em 0.6em;"> <ul><li><a href="/wiki/Y%C3%BCkseklik_(%C3%BC%C3%A7gen)" title="Yükseklik (üçgen)">Yükseklik</a></li> <li><a href="/wiki/Hipoten%C3%BCs" title="Hipotenüs">Hipotenüs</a></li> <li><a href="/wiki/Pisagor_teoremi" title="Pisagor teoremi">Pisagor teoremi</a></li></ul></td> </tr><tr><th class="sidebar-heading" style="background:#e6e6ff; font-weight:normal;"> <a href="/wiki/Paralelkenar" title="Paralelkenar">Paralelkenar</a></th></tr><tr><td class="sidebar-content" style="padding:0.2em 0.4em 0.6em;"> <ul><li><a href="/wiki/Kare" title="Kare">Kare</a></li> <li><a href="/wiki/Dikd%C3%B6rtgen" title="Dikdörtgen">Dikdörtgen</a></li> <li><a href="/wiki/E%C5%9Fkenar_d%C3%B6rtgen" title="Eşkenar dörtgen">Eşkenar dörtgen</a></li> <li><a href="/wiki/Romboid" title="Romboid">Romboid</a></li></ul></td> </tr><tr><th class="sidebar-heading" style="background:#e6e6ff; font-weight:normal;"> <a href="/wiki/D%C3%B6rtgen" title="Dörtgen">Dörtgen</a></th></tr><tr><td class="sidebar-content" style="padding:0.2em 0.4em 0.6em;"> <ul><li><a href="/wiki/Yamuk" title="Yamuk">Yamuk</a></li> <li><a href="/wiki/Deltoid_(geometri)" title="Deltoid (geometri)">Deltoid (geometri)</a></li></ul></td> </tr><tr><th class="sidebar-heading" style="background:#e6e6ff; font-weight:normal;"> <a href="/wiki/%C3%87ember" title="Çember">Çember</a></th></tr><tr><td class="sidebar-content" style="padding:0.2em 0.4em 0.6em;"> <ul><li><a href="/wiki/%C3%87ap" title="Çap">Çap</a></li> <li><a href="/w/index.php?title=Dairenin_%C3%A7evresi&amp;action=edit&amp;redlink=1" class="new" title="Dairenin çevresi (sayfa mevcut değil)">Çevre</a></li> <li><a href="/w/index.php?title=Dairenin_alan%C4%B1&amp;action=edit&amp;redlink=1" class="new" title="Dairenin alanı (sayfa mevcut değil)">Alan</a></li></ul></td> </tr></tbody></table></div></div></td> </tr><tr><td class="sidebar-content"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="background:#ddf; text-align:center;"><a href="/wiki/%C3%9C%C3%A7_boyutlu_uzay" title="Üç boyutlu uzay">Üç boyutlu</a></div><div class="sidebar-list-content mw-collapsible-content hlist"> <ul><li><a href="/wiki/Hacim" title="Hacim">Hacim</a></li></ul> <ul><li><a href="/wiki/K%C3%BCp" title="Küp">Küp</a> <ul><li><a href="/wiki/K%C3%BCboid" class="mw-redirect" title="Küboid">Küboid</a></li></ul></li> <li><a href="/wiki/Silindir" title="Silindir">Silindir</a></li> <li><a href="/wiki/Piramit_(geometri)" title="Piramit (geometri)">Piramit</a></li> <li><a href="/wiki/K%C3%BCre" title="Küre">Küre</a></li></ul></div></div></td> </tr><tr><td class="sidebar-content"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="background:#ddf; text-align:center;"><a href="/wiki/D%C3%B6rt_boyutlu_uzay" title="Dört boyutlu uzay">Dört</a> ve <a href="/wiki/Be%C5%9F_boyutlu_uzay" title="Beş boyutlu uzay">üzeri</a> boyutlu</div><div class="sidebar-list-content mw-collapsible-content hlist"> <ul><li><a href="/wiki/Tesseract" title="Tesseract">Tesseract</a></li> <li><a href="/w/index.php?title=Hiperk%C3%BCre&amp;action=edit&amp;redlink=1" class="new" title="Hiperküre (sayfa mevcut değil)">Hiperküre</a></li></ul></div></div></td> </tr><tr><th class="sidebar-heading" style="padding-bottom:0.2em;"> <a href="/wiki/Geometricilerin_listesi" title="Geometricilerin listesi">Geometriciler</a></th></tr><tr><td class="sidebar-content"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="background:#ddf; text-align:center;">İsme göre</div><div class="sidebar-list-content mw-collapsible-content hlist"> <ul><li><a href="/w/index.php?title=Yasuaki_Aida&amp;action=edit&amp;redlink=1" class="new" title="Yasuaki Aida (sayfa mevcut değil)">Aida</a></li> <li><a href="/wiki/Aryabhata" title="Aryabhata">Aryabhata</a></li> <li><a href="/wiki/Ahmes" title="Ahmes">Ahmes</a></li> <li><a href="/wiki/Pergeli_Apollonius" class="mw-redirect" title="Pergeli Apollonius">Apollonius</a></li> <li><a href="/wiki/Ar%C5%9Fimet" title="Arşimet">Arşimet</a></li> <li><a href="/wiki/Michael_Atiyah" title="Michael Atiyah">Atiyah</a></li> <li><a href="/wiki/Baudhayana" title="Baudhayana">Baudhayana</a></li> <li><a href="/wiki/J%C3%A1nos_Bolyai" title="János Bolyai">Bolyai</a></li> <li><a href="/wiki/Brahmagupta" title="Brahmagupta">Brahmagupta</a></li> <li><a href="/wiki/%C3%89lie_Cartan" title="Élie Cartan">Cartan</a></li> <li><a href="/w/index.php?title=Harold_Scott_MacDonald_Coxeter&amp;action=edit&amp;redlink=1" class="new" title="Harold Scott MacDonald Coxeter (sayfa mevcut değil)">Coxeter</a></li> <li><a href="/wiki/Ren%C3%A9_Descartes" title="René Descartes">Descartes</a></li> <li><a href="/wiki/Leonhard_Euler" title="Leonhard Euler">Euler</a></li> <li><a href="/wiki/Carl_Friedrich_Gauss" title="Carl Friedrich Gauss">Gauss</a></li> <li><a href="/w/index.php?title=Mikhail_Leonidovich_Gromov&amp;action=edit&amp;redlink=1" class="new" title="Mikhail Leonidovich Gromov (sayfa mevcut değil)">Gromov</a></li> <li><a href="/wiki/%C3%96mer_Hayyam" title="Ömer Hayyam">Hayyám</a></li> <li><a href="/wiki/David_Hilbert" title="David Hilbert">Hilbert</a></li> <li><a href="/wiki/%C4%B0bn-i_Heysem" class="mw-redirect" title="İbn-i Heysem">İbn-i Heysem</a></li> <li><a href="/w/index.php?title=%C4%B0bn_Hacc%C3%A2c_el-%C4%B0%C5%9Fb%C3%AEl%C3%AE&amp;action=edit&amp;redlink=1" class="new" title="İbn Haccâc el-İşbîlî (sayfa mevcut değil)">el-İşbîlî</a></li> <li><a href="/w/index.php?title=Jye%E1%B9%A3%E1%B9%ADhadeva&amp;action=edit&amp;redlink=1" class="new" title="Jyeṣṭhadeva (sayfa mevcut değil)">Jyeṣṭhadeva</a></li> <li><a href="/wiki/K%C4%81ty%C4%81yana" title="Kātyāyana">Kātyāyana</a></li> <li><a href="/wiki/Felix_Klein" title="Felix Klein">Klein</a></li> <li><a href="/wiki/Nikolai_Lobachevsky" class="mw-redirect" title="Nikolai Lobachevsky">Lobachevsky</a></li> <li><a href="/wiki/Manava" title="Manava">Manava</a></li> <li><a href="/wiki/Hermann_Minkowski" title="Hermann Minkowski">Minkowski</a></li> <li><a href="/w/index.php?title=Minggatu&amp;action=edit&amp;redlink=1" class="new" title="Minggatu (sayfa mevcut değil)">Minggatu</a></li> <li><a href="/wiki/%C3%96klid" title="Öklid">Öklid</a></li> <li><a href="/wiki/Blaise_Pascal" title="Blaise Pascal">Pascal</a></li> <li><a href="/wiki/Pisagor" title="Pisagor">Pisagor</a></li> <li><a href="/w/index.php?title=Parameshvara&amp;action=edit&amp;redlink=1" class="new" title="Parameshvara (sayfa mevcut değil)">Parameshvara</a></li> <li><a href="/wiki/Henri_Poincar%C3%A9" title="Henri Poincaré">Poincaré</a></li> <li><a href="/wiki/Bernhard_Riemann" title="Bernhard Riemann">Riemann</a></li> <li><a href="/w/index.php?title=Sakabe_K%C5%8Dhan&amp;action=edit&amp;redlink=1" class="new" title="Sakabe Kōhan (sayfa mevcut değil)">Sakabe</a></li> <li><a href="/wiki/Siczi" class="mw-redirect" title="Siczi">Siczi</a></li> <li><a href="/wiki/Nas%C3%AEr%C3%BCddin_T%C3%BBs%C3%AE" title="Nasîrüddin Tûsî">el-Tusi</a></li> <li><a href="/wiki/Oswald_Veblen" title="Oswald Veblen">Veblen</a></li> <li><a href="/w/index.php?title=Virasena&amp;action=edit&amp;redlink=1" class="new" title="Virasena (sayfa mevcut değil)">Virasena</a></li> <li><a href="/w/index.php?title=Yang_Hui&amp;action=edit&amp;redlink=1" class="new" title="Yang Hui (sayfa mevcut değil)">Yang Hui</a></li> <li><a href="/wiki/Zhang_Heng" title="Zhang Heng">Zhang</a></li> <li><a href="/wiki/Geometricilerin_listesi" title="Geometricilerin listesi">Geometricilerin listesi</a></li></ul></div></div></td> </tr><tr><td class="sidebar-content"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="background:#ddf; text-align:center;">Döneme göre</div><div class="sidebar-list-content mw-collapsible-content hlist" style="padding-bottom:0;"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r33092931"><table class="sidebar nomobile" style="background-color: transparent; border-collapse:collapse; border-spacing:0px; border:none; width:100%; margin:0px; font-size:100%; clear:none; float:none"><tbody><tr><th class="sidebar-heading" style="background:#e6e6ff; font-weight:normal;"> <a href="/wiki/M%C3%96" class="mw-redirect" title="MÖ">Milattan önce</a></th></tr><tr><td class="sidebar-content" style="padding:0.2em 0.4em 0.6em;"> <ul><li><a href="/wiki/Ahmes" title="Ahmes">Ahmes</a></li> <li><a href="/wiki/Baudhayana" title="Baudhayana">Baudhayana</a></li> <li><a href="/wiki/Manava" title="Manava">Manava</a></li> <li><a href="/wiki/Pisagor" title="Pisagor">Pisagor</a></li> <li><a href="/wiki/%C3%96klid" title="Öklid">Öklid</a></li> <li><a href="/wiki/Ar%C5%9Fimet" title="Arşimet">Arşimet</a></li> <li><a href="/wiki/Pergeli_Apollonius" class="mw-redirect" title="Pergeli Apollonius">Apollonius</a></li></ul></td> </tr><tr><th class="sidebar-heading" style="background:#e6e6ff; font-weight:normal;"> MS 1–1400'lar</th></tr><tr><td class="sidebar-content" style="padding:0.2em 0.4em 0.6em;"> <ul><li><a href="/wiki/Zhang_Heng" title="Zhang Heng">Zhang</a></li> <li><a href="/wiki/K%C4%81ty%C4%81yana" title="Kātyāyana">Kātyāyana</a></li> <li><a href="/wiki/Aryabhata" title="Aryabhata">Aryabhata</a></li> <li><a href="/wiki/Brahmagupta" title="Brahmagupta">Brahmagupta</a></li> <li><a href="/w/index.php?title=Virasena&amp;action=edit&amp;redlink=1" class="new" title="Virasena (sayfa mevcut değil)">Virasena</a></li> <li><a href="/wiki/%C4%B0bn-i_Heysem" class="mw-redirect" title="İbn-i Heysem">İbn-i Heysem</a></li> <li><a href="/wiki/Siczi" class="mw-redirect" title="Siczi">Siczi</a></li> <li><a href="/wiki/%C3%96mer_Hayyam" title="Ömer Hayyam">Hayyám</a></li> <li><a href="/w/index.php?title=%C4%B0bn_Hacc%C3%A2c_el-%C4%B0%C5%9Fb%C3%AEl%C3%AE&amp;action=edit&amp;redlink=1" class="new" title="İbn Haccâc el-İşbîlî (sayfa mevcut değil)">el-İşbîlî</a></li> <li><a href="/wiki/Nas%C3%AEr%C3%BCddin_T%C3%BBs%C3%AE" title="Nasîrüddin Tûsî">el-Tusi</a></li> <li><a href="/w/index.php?title=Yang_Hui&amp;action=edit&amp;redlink=1" class="new" title="Yang Hui (sayfa mevcut değil)">Yang Hui</a></li> <li><a href="/w/index.php?title=Parameshvara&amp;action=edit&amp;redlink=1" class="new" title="Parameshvara (sayfa mevcut değil)">Parameshvara</a></li></ul></td> </tr><tr><th class="sidebar-heading" style="background:#e6e6ff; font-weight:normal;"> 1400'lar–1700'ler</th></tr><tr><td class="sidebar-content" style="padding:0.2em 0.4em 0.6em;"> <ul><li><a href="/w/index.php?title=Jye%E1%B9%A3%E1%B9%ADhadeva&amp;action=edit&amp;redlink=1" class="new" title="Jyeṣṭhadeva (sayfa mevcut değil)">Jyeṣṭhadeva</a></li> <li><a href="/wiki/Ren%C3%A9_Descartes" title="René Descartes">Descartes</a></li> <li><a href="/wiki/Blaise_Pascal" title="Blaise Pascal">Pascal</a></li> <li><a href="/w/index.php?title=Minggatu&amp;action=edit&amp;redlink=1" class="new" title="Minggatu (sayfa mevcut değil)">Minggatu</a></li> <li><a href="/wiki/Leonhard_Euler" title="Leonhard Euler">Euler</a></li> <li><a href="/w/index.php?title=Sakabe_K%C5%8Dhan&amp;action=edit&amp;redlink=1" class="new" title="Sakabe Kōhan (sayfa mevcut değil)">Sakabe</a></li> <li><a href="/w/index.php?title=Yasuaki_Aida&amp;action=edit&amp;redlink=1" class="new" title="Yasuaki Aida (sayfa mevcut değil)">Aida</a></li></ul></td> </tr><tr><th class="sidebar-heading" style="background:#e6e6ff; font-weight:normal;"> 1700'ler–1900'lar</th></tr><tr><td class="sidebar-content" style="padding:0.2em 0.4em 0.6em;"> <ul><li><a href="/wiki/Carl_Friedrich_Gauss" title="Carl Friedrich Gauss">Gauss</a></li> <li><a href="/wiki/Nikolai_Lobachevsky" class="mw-redirect" title="Nikolai Lobachevsky">Lobachevsky</a></li> <li><a href="/wiki/J%C3%A1nos_Bolyai" title="János Bolyai">Bolyai</a></li> <li><a href="/wiki/Bernhard_Riemann" title="Bernhard Riemann">Riemann</a></li> <li><a href="/wiki/Felix_Klein" title="Felix Klein">Klein</a></li> <li><a href="/wiki/Henri_Poincar%C3%A9" title="Henri Poincaré">Poincaré</a></li> <li><a href="/wiki/David_Hilbert" title="David Hilbert">Hilbert</a></li> <li><a href="/wiki/Hermann_Minkowski" title="Hermann Minkowski">Minkowski</a></li> <li><a href="/wiki/%C3%89lie_Cartan" title="Élie Cartan">Cartan</a></li> <li><a href="/wiki/Oswald_Veblen" title="Oswald Veblen">Veblen</a></li> <li><a href="/w/index.php?title=Harold_Scott_MacDonald_Coxeter&amp;action=edit&amp;redlink=1" class="new" title="Harold Scott MacDonald Coxeter (sayfa mevcut değil)">Coxeter</a></li></ul></td> </tr><tr><th class="sidebar-heading" style="background:#e6e6ff; font-weight:normal;"> Günümüz</th></tr><tr><td class="sidebar-content" style="padding:0.2em 0.4em 0.6em;"> <ul><li><a href="/wiki/Michael_Atiyah" title="Michael Atiyah">Atiyah</a></li> <li><a href="/w/index.php?title=Mikhail_Leonidovich_Gromov&amp;action=edit&amp;redlink=1" class="new" title="Mikhail Leonidovich Gromov (sayfa mevcut değil)">Gromov</a></li></ul></td> </tr></tbody></table></div></div></td> </tr><tr><td class="sidebar-navbar"><style data-mw-deduplicate="TemplateStyles:r25548259">.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-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}.mw-parser-output .infobox .navbar{font-size:100%}.mw-parser-output .navbox .navbar{display:block;font-size:100%}.mw-parser-output .navbox-title .navbar{float:left;text-align:left;margin-right:0.5em}</style><div class="plainlinks hlist navbar navbar-mini"><ul><li class="nv-view"><a href="/wiki/%C5%9Eablon:Genel_geometri" class="mw-redirect" title="Şablon:Genel geometri"><abbr title="Bu şablonu görüntüle">g</abbr></a></li><li class="nv-talk"><a href="/w/index.php?title=%C5%9Eablon_tart%C4%B1%C5%9Fma:Genel_geometri&amp;action=edit&amp;redlink=1" class="new" title="Şablon tartışma:Genel geometri (sayfa mevcut değil)"><abbr title="Bu şablonu tartış">t</abbr></a></li><li class="nv-edit"><a class="external text" href="https://tr.wikipedia.org/w/index.php?title=%C5%9Eablon:Genel_geometri&amp;action=edit"><abbr title="Bu şablonu değiştir">d</abbr></a></li></ul></div></td></tr></tbody></table> <p><b>Onbeşgen</b>, on beş kenarı ve on beş açısı olan bir iki boyutlu cisimdir. Bir iç açısı 156°, bir dış açısı 24°'dir </p> <div class="mw-heading mw-heading2"><h2 id="Özellikleri"><span id=".C3.96zellikleri"></span>Özellikleri</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Onbe%C5%9Fgen&amp;veaction=edit&amp;section=1" title="Değiştirilen bölüm: Özellikleri" class="mw-editsection-visualeditor"><span>değiştir</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Onbe%C5%9Fgen&amp;action=edit&amp;section=1" title="Bölümün kaynak kodunu değiştir: Özellikleri"><span>kaynağı değiştir</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Bir iç açısı 156 derecedir. </p><p>Bir kenarına "a" dersek alan formülü </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 {\begin{aligned}A&amp;={\frac {15}{4}}a^{2}\cot {\frac {\pi }{15}}\\&amp;={\frac {15a^{2}}{8}}\left({\sqrt {3}}+{\sqrt {15}}+{\sqrt {2}}{\sqrt {5+{\sqrt {5}}}}\right)\\&amp;\simeq 17.6424\,a^{2}.\end{aligned}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mtable columnalign="right left right left right left right left right left right left" rowspacing="3pt" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true"> <mtr> <mtd> <mi>A</mi> </mtd> <mtd> <mi></mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>15</mn> <mn>4</mn> </mfrac> </mrow> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mi>cot</mi> <mo>&#x2061;<!-- ⁡ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>&#x03C0;<!-- π --></mi> <mn>15</mn> </mfrac> </mrow> </mtd> </mtr> <mtr> <mtd /> <mtd> <mi></mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mn>15</mn> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> <mn>8</mn> </mfrac> </mrow> <mrow> <mo>(</mo> <mrow> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>3</mn> </msqrt> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>15</mn> </msqrt> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>2</mn> </msqrt> </mrow> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>5</mn> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>5</mn> </msqrt> </mrow> </msqrt> </mrow> </mrow> <mo>)</mo> </mrow> </mtd> </mtr> <mtr> <mtd /> <mtd> <mi></mi> <mo>&#x2243;<!-- ≃ --></mo> <mn>17.6424</mn> <mspace width="thinmathspace" /> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>.</mo> </mtd> </mtr> </mtable> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\begin{aligned}A&amp;={\frac {15}{4}}a^{2}\cot {\frac {\pi }{15}}\\&amp;={\frac {15a^{2}}{8}}\left({\sqrt {3}}+{\sqrt {15}}+{\sqrt {2}}{\sqrt {5+{\sqrt {5}}}}\right)\\&amp;\simeq 17.6424\,a^{2}.\end{aligned}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4735385dd62be4a755a8916f65cb566aca98a69d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -6.838ex; width:40.41ex; height:14.843ex;" alt="{\displaystyle {\begin{aligned}A&amp;={\frac {15}{4}}a^{2}\cot {\frac {\pi }{15}}\\&amp;={\frac {15a^{2}}{8}}\left({\sqrt {3}}+{\sqrt {15}}+{\sqrt {2}}{\sqrt {5+{\sqrt {5}}}}\right)\\&amp;\simeq 17.6424\,a^{2}.\end{aligned}}}"></span></dd></dl> <div class="mw-heading mw-heading2"><h2 id="Çizimi"><span id=".C3.87izimi"></span>Çizimi</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Onbe%C5%9Fgen&amp;veaction=edit&amp;section=2" title="Değiştirilen bölüm: Çizimi" class="mw-editsection-visualeditor"><span>değiştir</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Onbe%C5%9Fgen&amp;action=edit&amp;section=2" title="Bölümün kaynak kodunu değiştir: Çizimi"><span>kaynağı değiştir</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><span class="mw-default-size" typeof="mw:File"><a href="/wiki/Dosya:Regular_Pentadecagon_Inscribed_in_a_Circle.gif" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/e/eb/Regular_Pentadecagon_Inscribed_in_a_Circle.gif" decoding="async" width="480" height="480" class="mw-file-element" data-file-width="480" data-file-height="480" /></a></span> </p> <table class="metadata plainlinks stub" role="presentation" style="background:transparent"><tbody><tr><td><span typeof="mw:File"><a href="/wiki/Dosya:Dodecahedron.svg" class="mw-file-description"><img alt="Taslak simgesi" src="//upload.wikimedia.org/wikipedia/commons/thumb/a/a4/Dodecahedron.svg/30px-Dodecahedron.svg.png" decoding="async" width="30" height="30" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/a4/Dodecahedron.svg/45px-Dodecahedron.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/a4/Dodecahedron.svg/60px-Dodecahedron.svg.png 2x" data-file-width="300" data-file-height="300" /></a></span></td><td><i><a href="/wiki/Geometri" title="Geometri">Geometri</a> ile ilgili bu madde <a href="/wiki/Vikipedi:Taslak_madde" title="Vikipedi:Taslak madde">taslak</a> seviyesindedir. 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