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Elips - Vikipedi

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sitedir-ltr mw-hide-empty-elt ns-0 ns-subject mw-editable page-Elips rootpage-Elips skin-vector-2022 action-view"><a class="mw-jump-link" href="#bodyContent">İçeriğe atla</a> <div class="vector-header-container"> <header class="vector-header mw-header"> <div class="vector-header-start"> <nav class="vector-main-menu-landmark" aria-label="Site"> <div id="vector-main-menu-dropdown" class="vector-dropdown vector-main-menu-dropdown vector-button-flush-left vector-button-flush-right" title="Ana menü" > <input type="checkbox" id="vector-main-menu-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-main-menu-dropdown" class="vector-dropdown-checkbox " aria-label="Ana menü" > <label id="vector-main-menu-dropdown-label" for="vector-main-menu-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon 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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 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">Görünüm</span> </label> <div class="vector-dropdown-content"> <div id="vector-appearance-unpinned-container" 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cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-ellipsis mw-ui-icon-wikimedia-ellipsis"></span> <span class="vector-dropdown-label-text">Kişisel araçlar</span> </label> <div class="vector-dropdown-content"> <div id="p-personal" class="vector-menu mw-portlet mw-portlet-personal user-links-collapsible-item" title="Kullanıcı menüsü" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport" class="user-links-collapsible-item mw-list-item"><a href="https://donate.wikimedia.org/?wmf_source=donate&amp;wmf_medium=sidebar&amp;wmf_campaign=tr.wikipedia.org&amp;uselang=tr"><span>Bağış yapın</span></a></li><li id="pt-createaccount" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=%C3%96zel:HesapOlu%C5%9Ftur&amp;returnto=Elips" title="Bir hesap oluşturup oturum açmanız tavsiye edilmektedir ancak bu zorunlu değildir"><span class="vector-icon mw-ui-icon-userAdd mw-ui-icon-wikimedia-userAdd"></span> 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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-Tanım" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Tanım"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Tanım</span> </div> </a> <ul id="toc-Tanım-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Denklemi" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Denklemi"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Denklemi</span> </div> </a> <button aria-controls="toc-Denklemi-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Denklemi alt bölümünü aç/kapa</span> </button> <ul id="toc-Denklemi-sublist" class="vector-toc-list"> <li id="toc-Parametresi" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Parametresi"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.1</span> <span>Parametresi</span> </div> </a> <ul id="toc-Parametresi-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Herhangi_Bir_Noktadan_Elipse_Çizilen_Teğetin_Denklemi" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Herhangi_Bir_Noktadan_Elipse_Çizilen_Teğetin_Denklemi"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.2</span> <span>Herhangi Bir Noktadan Elipse Çizilen Teğetin Denklemi</span> </div> </a> <ul id="toc-Herhangi_Bir_Noktadan_Elipse_Çizilen_Teğetin_Denklemi-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Üzerindeki_Herhangi_Bir_Noktanın_Elipsin_Merkezine_Uzaklığı" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Üzerindeki_Herhangi_Bir_Noktanın_Elipsin_Merkezine_Uzaklığı"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.3</span> <span>Üzerindeki Herhangi Bir Noktanın Elipsin Merkezine Uzaklığı</span> </div> </a> <ul id="toc-Üzerindeki_Herhangi_Bir_Noktanın_Elipsin_Merkezine_Uzaklığı-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Basıklığı" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Basıklığı"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Basıklığı</span> </div> </a> <ul id="toc-Basıklığı-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Dış_merkezliği" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Dış_merkezliği"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Dış merkezliği</span> </div> </a> <ul id="toc-Dış_merkezliği-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Ayrıca_bakınız" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Ayrıca_bakınız"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Ayrıca bakınız</span> </div> </a> <ul id="toc-Ayrıca_bakınız-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" title="İçindekiler" > <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">Elips</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. 97 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-97" 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">97 dil</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-af mw-list-item"><a href="https://af.wikipedia.org/wiki/Ellips" title="Ellips - Afrikaanca" lang="af" hreflang="af" data-title="Ellips" data-language-autonym="Afrikaans" data-language-local-name="Afrikaanca" class="interlanguage-link-target"><span>Afrikaans</span></a></li><li class="interlanguage-link interwiki-als mw-list-item"><a href="https://als.wikipedia.org/wiki/Ellipse" title="Ellipse - İsviçre Almancası" lang="gsw" hreflang="gsw" data-title="Ellipse" data-language-autonym="Alemannisch" data-language-local-name="İsviçre Almancası" class="interlanguage-link-target"><span>Alemannisch</span></a></li><li class="interlanguage-link interwiki-am mw-list-item"><a href="https://am.wikipedia.org/wiki/%E1%88%9E%E1%88%8B%E1%88%8B" title="ሞላላ - Amharca" lang="am" hreflang="am" data-title="ሞላላ" data-language-autonym="አማርኛ" data-language-local-name="Amharca" class="interlanguage-link-target"><span>አማርኛ</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D9%82%D8%B7%D8%B9_%D9%86%D8%A7%D9%82%D8%B5" title="قطع ناقص - Arapça" lang="ar" hreflang="ar" data-title="قطع ناقص" 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/Elipse" title="Elipse - Asturyasça" lang="ast" hreflang="ast" data-title="Elipse" data-language-autonym="Asturianu" data-language-local-name="Asturyasça" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/Ellips" title="Ellips - Azerbaycan dili" lang="az" hreflang="az" data-title="Ellips" data-language-autonym="Azərbaycanca" data-language-local-name="Azerbaycan dili" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-ba mw-list-item"><a href="https://ba.wikipedia.org/wiki/%D0%AD%D0%BB%D0%BB%D0%B8%D0%BF%D1%81" title="Эллипс - Başkırtça" lang="ba" hreflang="ba" data-title="Эллипс" data-language-autonym="Башҡортса" data-language-local-name="Başkırtça" class="interlanguage-link-target"><span>Башҡортса</span></a></li><li class="interlanguage-link interwiki-bar mw-list-item"><a href="https://bar.wikipedia.org/wiki/Elipsn" title="Elipsn - Bavyera dili" lang="bar" hreflang="bar" data-title="Elipsn" data-language-autonym="Boarisch" data-language-local-name="Bavyera dili" class="interlanguage-link-target"><span>Boarisch</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%AD%D0%BB%D1%96%D0%BF%D1%81" title="Эліпс - Belarusça" lang="be" hreflang="be" data-title="Эліпс" data-language-autonym="Беларуская" data-language-local-name="Belarusça" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-be-x-old mw-list-item"><a href="https://be-tarask.wikipedia.org/wiki/%D0%AD%D0%BB%D1%96%D0%BF%D1%81" title="Эліпс - Belarusian (Taraškievica orthography)" lang="be-tarask" hreflang="be-tarask" data-title="Эліпс" data-language-autonym="Беларуская (тарашкевіца)" data-language-local-name="Belarusian (Taraškievica orthography)" class="interlanguage-link-target"><span>Беларуская (тарашкевіца)</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%95%D0%BB%D0%B8%D0%BF%D1%81%D0%B0" title="Елипса - Bulgarca" lang="bg" hreflang="bg" data-title="Елипса" data-language-autonym="Български" data-language-local-name="Bulgarca" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%89%E0%A6%AA%E0%A6%AC%E0%A7%83%E0%A6%A4%E0%A7%8D%E0%A6%A4" title="উপবৃত্ত - Bengalce" lang="bn" hreflang="bn" data-title="উপবৃত্ত" data-language-autonym="বাংলা" data-language-local-name="Bengalce" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Elipsa" title="Elipsa - Boşnakça" lang="bs" hreflang="bs" data-title="Elipsa" data-language-autonym="Bosanski" data-language-local-name="Boşnakça" class="interlanguage-link-target"><span>Bosanski</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/El%C2%B7lipse" title="El·lipse - Katalanca" lang="ca" hreflang="ca" data-title="El·lipse" data-language-autonym="Català" data-language-local-name="Katalanca" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cdo mw-list-item"><a href="https://cdo.wikipedia.org/wiki/Ti%C5%8D-u%C3%B2ng" title="Tiō-uòng - Mindong" lang="cdo" hreflang="cdo" data-title="Tiō-uòng" data-language-autonym="閩東語 / Mìng-dĕ̤ng-ngṳ̄" data-language-local-name="Mindong" class="interlanguage-link-target"><span>閩東語 / Mìng-dĕ̤ng-ngṳ̄</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%D8%A8%DA%95%DA%AF%DB%95%DB%8C_%D9%86%D8%A7%D8%AA%DB%95%D9%88%D8%A7%D9%88" title="بڕگەی ناتەواو - Orta Kürtçe" lang="ckb" hreflang="ckb" data-title="بڕگەی ناتەواو" 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/Elipsa" title="Elipsa - Çekçe" lang="cs" hreflang="cs" data-title="Elipsa" data-language-autonym="Čeština" data-language-local-name="Çekçe" 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%AD%D0%BB%D0%BB%D0%B8%D0%BF%D1%81" title="Эллипс - Çuvaşça" lang="cv" hreflang="cv" data-title="Эллипс" data-language-autonym="Чӑвашла" data-language-local-name="Çuvaşça" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-cy mw-list-item"><a href="https://cy.wikipedia.org/wiki/El%C3%ADps" title="Elíps - Galce" lang="cy" hreflang="cy" data-title="Elíps" data-language-autonym="Cymraeg" data-language-local-name="Galce" class="interlanguage-link-target"><span>Cymraeg</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Ellipse_(geometri)" title="Ellipse (geometri) - Danca" lang="da" hreflang="da" data-title="Ellipse (geometri)" 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/Ellipse" title="Ellipse - Almanca" lang="de" hreflang="de" data-title="Ellipse" 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%88%CE%BB%CE%BB%CE%B5%CE%B9%CF%88%CE%B7_(%CE%B3%CE%B5%CF%89%CE%BC%CE%B5%CF%84%CF%81%CE%AF%CE%B1)" title="Έλλειψη (γεωμετρία) - Yunanca" lang="el" hreflang="el" data-title="Έλλειψη (γεωμετρία)" data-language-autonym="Ελληνικά" data-language-local-name="Yunanca" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Ellipse" title="Ellipse - İngilizce" lang="en" hreflang="en" data-title="Ellipse" data-language-autonym="English" data-language-local-name="İngilizce" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Elipso_(matematiko)" title="Elipso (matematiko) - Esperanto" lang="eo" hreflang="eo" data-title="Elipso (matematiko)" data-language-autonym="Esperanto" data-language-local-name="Esperanto" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Elipse" title="Elipse - İspanyolca" lang="es" hreflang="es" data-title="Elipse" data-language-autonym="Español" data-language-local-name="İspanyolca" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Ellips" title="Ellips - Estonca" lang="et" hreflang="et" data-title="Ellips" data-language-autonym="Eesti" data-language-local-name="Estonca" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Elipse" title="Elipse - Baskça" lang="eu" hreflang="eu" data-title="Elipse" data-language-autonym="Euskara" data-language-local-name="Baskça" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa badge-Q17437798 badge-goodarticle mw-list-item" title="kaliteli madde"><a href="https://fa.wikipedia.org/wiki/%D8%A8%DB%8C%D8%B6%DB%8C" title="بیضی - Farsça" lang="fa" hreflang="fa" data-title="بیضی" data-language-autonym="فارسی" data-language-local-name="Farsça" 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/Ellipsi" title="Ellipsi - Fince" lang="fi" hreflang="fi" data-title="Ellipsi" data-language-autonym="Suomi" data-language-local-name="Fince" 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/Ellipse_(math%C3%A9matiques)" title="Ellipse (mathématiques) - Fransızca" lang="fr" hreflang="fr" data-title="Ellipse (mathématiques)" data-language-autonym="Français" data-language-local-name="Fransızca" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-frr mw-list-item"><a href="https://frr.wikipedia.org/wiki/Elips" title="Elips - Kuzey Frizce" lang="frr" hreflang="frr" data-title="Elips" data-language-autonym="Nordfriisk" data-language-local-name="Kuzey Frizce" class="interlanguage-link-target"><span>Nordfriisk</span></a></li><li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://ga.wikipedia.org/wiki/%C3%89ilips" title="Éilips - İrlandaca" lang="ga" hreflang="ga" data-title="Éilips" data-language-autonym="Gaeilge" data-language-local-name="İrlandaca" class="interlanguage-link-target"><span>Gaeilge</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Elipse_(xeometr%C3%ADa)" title="Elipse (xeometría) - Galiçyaca" lang="gl" hreflang="gl" data-title="Elipse (xeometría)" data-language-autonym="Galego" data-language-local-name="Galiçyaca" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%90%D7%9C%D7%99%D7%A4%D7%A1%D7%94" title="אליפסה - İbranice" lang="he" hreflang="he" data-title="אליפסה" data-language-autonym="עברית" data-language-local-name="İbranice" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%A6%E0%A5%80%E0%A4%B0%E0%A5%8D%E0%A4%98%E0%A4%B5%E0%A5%83%E0%A4%A4%E0%A5%8D%E0%A4%A4" title="दीर्घवृत्त - Hintçe" lang="hi" hreflang="hi" data-title="दीर्घवृत्त" data-language-autonym="हिन्दी" data-language-local-name="Hintçe" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Elipsa" title="Elipsa - Hırvatça" lang="hr" hreflang="hr" data-title="Elipsa" data-language-autonym="Hrvatski" data-language-local-name="Hırvatça" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-ht mw-list-item"><a href="https://ht.wikipedia.org/wiki/Elips" title="Elips - Haiti Kreyolu" lang="ht" hreflang="ht" data-title="Elips" data-language-autonym="Kreyòl ayisyen" data-language-local-name="Haiti Kreyolu" class="interlanguage-link-target"><span>Kreyòl ayisyen</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Ellipszis_(g%C3%B6rbe)" title="Ellipszis (görbe) - Macarca" lang="hu" hreflang="hu" data-title="Ellipszis (görbe)" data-language-autonym="Magyar" data-language-local-name="Macarca" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D4%B7%D5%AC%D5%AB%D5%BA%D5%BD" title="Էլիպս - Ermenice" lang="hy" hreflang="hy" data-title="Էլիպս" data-language-autonym="Հայերեն" data-language-local-name="Ermenice" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-ia mw-list-item"><a href="https://ia.wikipedia.org/wiki/Ellipse_(forma_geometric)" title="Ellipse (forma geometric) - İnterlingua" lang="ia" hreflang="ia" data-title="Ellipse (forma geometric)" data-language-autonym="İnterlingua" data-language-local-name="İnterlingua" class="interlanguage-link-target"><span>İnterlingua</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Elips" title="Elips - Endonezce" lang="id" hreflang="id" data-title="Elips" 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-io mw-list-item"><a href="https://io.wikipedia.org/wiki/Elipso_(matematiko)" title="Elipso (matematiko) - Ido" lang="io" hreflang="io" data-title="Elipso (matematiko)" data-language-autonym="Ido" data-language-local-name="Ido" class="interlanguage-link-target"><span>Ido</span></a></li><li class="interlanguage-link interwiki-is mw-list-item"><a href="https://is.wikipedia.org/wiki/Sporbaugur" title="Sporbaugur - İzlandaca" lang="is" hreflang="is" data-title="Sporbaugur" data-language-autonym="Íslenska" data-language-local-name="İzlandaca" class="interlanguage-link-target"><span>Íslenska</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Ellisse" title="Ellisse - İtalyanca" lang="it" hreflang="it" data-title="Ellisse" 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/%E6%A5%95%E5%86%86" title="楕円 - Japonca" lang="ja" hreflang="ja" data-title="楕円" 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-jv mw-list-item"><a href="https://jv.wikipedia.org/wiki/Elips" title="Elips - Cava dili" lang="jv" hreflang="jv" data-title="Elips" data-language-autonym="Jawa" data-language-local-name="Cava dili" class="interlanguage-link-target"><span>Jawa</span></a></li><li class="interlanguage-link interwiki-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/%E1%83%94%E1%83%9A%E1%83%98%E1%83%A4%E1%83%A1%E1%83%98" title="ელიფსი - Gürcüce" lang="ka" hreflang="ka" data-title="ელიფსი" data-language-autonym="ქართული" data-language-local-name="Gürcüce" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-kab mw-list-item"><a href="https://kab.wikipedia.org/wiki/Aglay_(tusnakt)" title="Aglay (tusnakt) - Kabiliyece" lang="kab" hreflang="kab" data-title="Aglay (tusnakt)" data-language-autonym="Taqbaylit" data-language-local-name="Kabiliyece" class="interlanguage-link-target"><span>Taqbaylit</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%AD%D0%BB%D0%BB%D0%B8%D0%BF%D1%81" title="Эллипс - Kazakça" lang="kk" hreflang="kk" data-title="Эллипс" data-language-autonym="Қазақша" data-language-local-name="Kazakça" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-km mw-list-item"><a href="https://km.wikipedia.org/wiki/%E1%9E%A2%E1%9F%81%E1%9E%9B%E1%9E%B8%E1%9E%94" title="អេលីប - Khmer dili" lang="km" hreflang="km" data-title="អេលីប" data-language-autonym="ភាសាខ្មែរ" data-language-local-name="Khmer dili" class="interlanguage-link-target"><span>ភាសាខ្មែរ</span></a></li><li class="interlanguage-link interwiki-kn mw-list-item"><a href="https://kn.wikipedia.org/wiki/%E0%B2%A6%E0%B3%80%E0%B2%B0%E0%B3%8D%E0%B2%98%E0%B2%B5%E0%B3%83%E0%B2%A4%E0%B3%8D%E0%B2%A4" title="ದೀರ್ಘವೃತ್ತ - Kannada dili" lang="kn" hreflang="kn" data-title="ದೀರ್ಘವೃತ್ತ" data-language-autonym="ಕನ್ನಡ" data-language-local-name="Kannada dili" class="interlanguage-link-target"><span>ಕನ್ನಡ</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%ED%83%80%EC%9B%90" title="타원 - Korece" lang="ko" hreflang="ko" data-title="타원" data-language-autonym="한국어" data-language-local-name="Korece" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-ky mw-list-item"><a href="https://ky.wikipedia.org/wiki/%D0%AD%D0%BB%D0%BB%D0%B8%D0%BF%D1%81" title="Эллипс - Kırgızca" lang="ky" hreflang="ky" data-title="Эллипс" data-language-autonym="Кыргызча" data-language-local-name="Kırgızca" class="interlanguage-link-target"><span>Кыргызча</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/Ellipsis" title="Ellipsis - Latince" lang="la" hreflang="la" data-title="Ellipsis" data-language-autonym="Latina" data-language-local-name="Latince" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-lb mw-list-item"><a href="https://lb.wikipedia.org/wiki/Ellips" title="Ellips - Lüksemburgca" lang="lb" hreflang="lb" data-title="Ellips" data-language-autonym="Lëtzebuergesch" data-language-local-name="Lüksemburgca" class="interlanguage-link-target"><span>Lëtzebuergesch</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Elips%C4%97" title="Elipsė - Litvanca" lang="lt" hreflang="lt" data-title="Elipsė" data-language-autonym="Lietuvių" data-language-local-name="Litvanca" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Elipse" title="Elipse - Letonca" lang="lv" hreflang="lv" data-title="Elipse" data-language-autonym="Latviešu" data-language-local-name="Letonca" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%95%D0%BB%D0%B8%D0%BF%D1%81%D0%B0" title="Елипса - Makedonca" lang="mk" hreflang="mk" data-title="Елипса" data-language-autonym="Македонски" data-language-local-name="Makedonca" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-mr mw-list-item"><a href="https://mr.wikipedia.org/wiki/%E0%A4%B2%E0%A4%82%E0%A4%AC%E0%A4%B5%E0%A4%B0%E0%A5%8D%E0%A4%A4%E0%A5%81%E0%A4%B3" title="लंबवर्तुळ - Marathi dili" lang="mr" hreflang="mr" data-title="लंबवर्तुळ" data-language-autonym="मराठी" data-language-local-name="Marathi dili" class="interlanguage-link-target"><span>मराठी</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Elips" title="Elips - Malayca" lang="ms" hreflang="ms" data-title="Elips" 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/Ellips_(wiskunde)" title="Ellips (wiskunde) - Felemenkçe" lang="nl" hreflang="nl" data-title="Ellips (wiskunde)" 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/Ellipse" title="Ellipse - Norveççe Nynorsk" lang="nn" hreflang="nn" data-title="Ellipse" 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/Ellipse" title="Ellipse - Norveççe Bokmål" lang="nb" hreflang="nb" data-title="Ellipse" 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-oc mw-list-item"><a href="https://oc.wikipedia.org/wiki/Ellipsa" title="Ellipsa - Oksitan dili" lang="oc" hreflang="oc" data-title="Ellipsa" data-language-autonym="Occitan" data-language-local-name="Oksitan dili" class="interlanguage-link-target"><span>Occitan</span></a></li><li class="interlanguage-link interwiki-om mw-list-item"><a href="https://om.wikipedia.org/wiki/Okokkee" title="Okokkee - Oromo dili" lang="om" hreflang="om" data-title="Okokkee" data-language-autonym="Oromoo" data-language-local-name="Oromo dili" class="interlanguage-link-target"><span>Oromoo</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Elipsa" title="Elipsa - Lehçe" lang="pl" hreflang="pl" data-title="Elipsa" data-language-autonym="Polski" data-language-local-name="Lehçe" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pms mw-list-item"><a href="https://pms.wikipedia.org/wiki/Eliss" title="Eliss - Piyemontece" lang="pms" hreflang="pms" data-title="Eliss" data-language-autonym="Piemontèis" data-language-local-name="Piyemontece" class="interlanguage-link-target"><span>Piemontèis</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Elipse" title="Elipse - Portekizce" lang="pt" hreflang="pt" data-title="Elipse" data-language-autonym="Português" data-language-local-name="Portekizce" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-qu mw-list-item"><a href="https://qu.wikipedia.org/wiki/Lunp%27u" title="Lunp&#039;u - Keçuva dili" lang="qu" hreflang="qu" data-title="Lunp&#039;u" data-language-autonym="Runa Simi" data-language-local-name="Keçuva dili" class="interlanguage-link-target"><span>Runa Simi</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Elips%C4%83" title="Elipsă - Rumence" lang="ro" hreflang="ro" data-title="Elipsă" 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%AD%D0%BB%D0%BB%D0%B8%D0%BF%D1%81" title="Эллипс - Rusça" lang="ru" hreflang="ru" data-title="Эллипс" data-language-autonym="Русский" data-language-local-name="Rusça" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-rue mw-list-item"><a href="https://rue.wikipedia.org/wiki/%D0%95%D0%BB%D0%B8%D0%BF%D1%81%D0%B0" title="Елипса - Rusince" lang="rue" hreflang="rue" data-title="Елипса" data-language-autonym="Русиньскый" data-language-local-name="Rusince" class="interlanguage-link-target"><span>Русиньскый</span></a></li><li class="interlanguage-link interwiki-scn mw-list-item"><a href="https://scn.wikipedia.org/wiki/Ellissi" title="Ellissi - Sicilyaca" lang="scn" hreflang="scn" data-title="Ellissi" data-language-autonym="Sicilianu" data-language-local-name="Sicilyaca" class="interlanguage-link-target"><span>Sicilianu</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Elipsa" title="Elipsa - Sırp-Hırvat Dili" lang="sh" hreflang="sh" data-title="Elipsa" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="Sırp-Hırvat Dili" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Ellipse" title="Ellipse - Simple English" lang="en-simple" hreflang="en-simple" data-title="Ellipse" data-language-autonym="Simple English" data-language-local-name="Simple English" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Elipsa" title="Elipsa - Slovakça" lang="sk" hreflang="sk" data-title="Elipsa" data-language-autonym="Slovenčina" data-language-local-name="Slovakça" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Elipsa" title="Elipsa - Slovence" lang="sl" hreflang="sl" data-title="Elipsa" data-language-autonym="Slovenščina" data-language-local-name="Slovence" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sn mw-list-item"><a href="https://sn.wikipedia.org/wiki/Denderende" title="Denderende - Şona dili" lang="sn" hreflang="sn" data-title="Denderende" data-language-autonym="ChiShona" data-language-local-name="Şona dili" class="interlanguage-link-target"><span>ChiShona</span></a></li><li class="interlanguage-link interwiki-so mw-list-item"><a href="https://so.wikipedia.org/wiki/Qabaal" title="Qabaal - Somalice" lang="so" hreflang="so" data-title="Qabaal" data-language-autonym="Soomaaliga" data-language-local-name="Somalice" class="interlanguage-link-target"><span>Soomaaliga</span></a></li><li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://sq.wikipedia.org/wiki/Elipsi" title="Elipsi - Arnavutça" lang="sq" hreflang="sq" data-title="Elipsi" data-language-autonym="Shqip" data-language-local-name="Arnavutça" class="interlanguage-link-target"><span>Shqip</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%95%D0%BB%D0%B8%D0%BF%D1%81%D0%B0" title="Елипса - Sırpça" lang="sr" hreflang="sr" data-title="Елипса" 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/Ellips_(matematik)" title="Ellips (matematik) - İsveççe" lang="sv" hreflang="sv" data-title="Ellips (matematik)" data-language-autonym="Svenska" data-language-local-name="İsveççe" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-sw mw-list-item"><a href="https://sw.wikipedia.org/wiki/Duaradufu" title="Duaradufu - Svahili dili" lang="sw" hreflang="sw" data-title="Duaradufu" data-language-autonym="Kiswahili" data-language-local-name="Svahili dili" class="interlanguage-link-target"><span>Kiswahili</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%A8%E0%AF%80%E0%AE%B3%E0%AF%8D%E0%AE%B5%E0%AE%9F%E0%AF%8D%E0%AE%9F%E0%AE%AE%E0%AF%8D" title="நீள்வட்டம் - Tamilce" lang="ta" hreflang="ta" data-title="நீள்வட்டம்" data-language-autonym="தமிழ்" data-language-local-name="Tamilce" class="interlanguage-link-target"><span>தமிழ்</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%A7%E0%B8%87%E0%B8%A3%E0%B8%B5" title="รูปวงรี - Tayca" lang="th" hreflang="th" data-title="รูปวงรี" data-language-autonym="ไทย" data-language-local-name="Tayca" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tl mw-list-item"><a href="https://tl.wikipedia.org/wiki/Elipse" title="Elipse - Tagalogca" lang="tl" hreflang="tl" data-title="Elipse" data-language-autonym="Tagalog" data-language-local-name="Tagalogca" class="interlanguage-link-target"><span>Tagalog</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%95%D0%BB%D1%96%D0%BF%D1%81" title="Еліпс - Ukraynaca" lang="uk" hreflang="uk" data-title="Еліпс" 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/%D8%A8%DB%8C%D8%B6%DB%81" title="بیضہ - Urduca" lang="ur" hreflang="ur" data-title="بیضہ" data-language-autonym="اردو" data-language-local-name="Urduca" class="interlanguage-link-target"><span>اردو</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Ellips_(chiziq)" title="Ellips (chiziq) - Özbekçe" lang="uz" hreflang="uz" data-title="Ellips (chiziq)" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="Özbekçe" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-vec mw-list-item"><a href="https://vec.wikipedia.org/wiki/E%C5%82ise" title="Ełise - Venedikçe" lang="vec" hreflang="vec" data-title="Ełise" data-language-autonym="Vèneto" data-language-local-name="Venedikçe" class="interlanguage-link-target"><span>Vèneto</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/Elip" title="Elip - Vietnamca" lang="vi" hreflang="vi" data-title="Elip" data-language-autonym="Tiếng Việt" data-language-local-name="Vietnamca" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-war mw-list-item"><a href="https://war.wikipedia.org/wiki/Elipse" title="Elipse - Varay" lang="war" hreflang="war" data-title="Elipse" data-language-autonym="Winaray" data-language-local-name="Varay" class="interlanguage-link-target"><span>Winaray</span></a></li><li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://wuu.wikipedia.org/wiki/%E6%A9%A2%E5%9C%93" title="橢圓 - Wu Çincesi" lang="wuu" hreflang="wuu" data-title="橢圓" data-language-autonym="吴语" data-language-local-name="Wu Çincesi" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E6%A4%AD%E5%9C%86" title="椭圆 - Çince" lang="zh" hreflang="zh" data-title="椭圆" 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-classical mw-list-item"><a href="https://zh-classical.wikipedia.org/wiki/%E6%A9%A2%E5%9C%93" title="橢圓 - Edebi Çince" lang="lzh" hreflang="lzh" data-title="橢圓" data-language-autonym="文言" data-language-local-name="Edebi Çince" class="interlanguage-link-target"><span>文言</span></a></li><li class="interlanguage-link interwiki-zh-min-nan mw-list-item"><a href="https://zh-min-nan.wikipedia.org/wiki/Tn%CC%82g-ko-%C3%AE%E2%81%BF" title="Tn̂g-ko-îⁿ - Min Nan Çincesi" lang="nan" hreflang="nan" data-title="Tn̂g-ko-îⁿ" data-language-autonym="閩南語 / Bân-lâm-gú" data-language-local-name="Min Nan Çincesi" class="interlanguage-link-target"><span>閩南語 / Bân-lâm-gú</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E6%A9%A2%E5%9C%93_(%E5%B9%BE%E4%BD%95)" title="橢圓 (幾何) - Kantonca" lang="yue" hreflang="yue" data-title="橢圓 (幾何)" 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/Q40112#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/Elips" 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:Elips" 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 emptyPortlet" > <input type="checkbox" id="vector-variants-dropdown-checkbox" role="button" aria-haspopup="true" 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href="/wiki/Elips"><span>Oku</span></a></li><li id="ca-ve-edit" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Elips&amp;veaction=edit" title="Bu sayfayı değiştir [v]" accesskey="v"><span>Değiştir</span></a></li><li id="ca-edit" class="collapsible vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Elips&amp;action=edit" title="Bu sayfanın kaynak kodunu düzenleyin [e]" accesskey="e"><span>Kaynağı değiştir</span></a></li><li id="ca-history" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Elips&amp;action=history" title="Bu sayfanın geçmiş sürümleri [h]" accesskey="h"><span>Geçmişi gör</span></a></li> </ul> </div> </div> </nav> <nav class="vector-page-tools-landmark" aria-label="Sayfa araçları"> <div id="vector-page-tools-dropdown" class="vector-dropdown vector-page-tools-dropdown" > <input type="checkbox" id="vector-page-tools-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-tools-dropdown" class="vector-dropdown-checkbox " aria-label="Araçlar" > <label id="vector-page-tools-dropdown-label" for="vector-page-tools-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">Araçlar</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-tools-unpinned-container" class="vector-unpinned-container"> <div id="vector-page-tools" class="vector-page-tools vector-pinnable-element"> <div class="vector-pinnable-header vector-page-tools-pinnable-header vector-pinnable-header-unpinned" data-feature-name="page-tools-pinned" data-pinnable-element-id="vector-page-tools" data-pinned-container-id="vector-page-tools-pinned-container" data-unpinned-container-id="vector-page-tools-unpinned-container" > <div class="vector-pinnable-header-label">Araçlar</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-page-tools.pin">kenar çubuğuna taşı</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-page-tools.unpin">gizle</button> </div> <div id="p-cactions" class="vector-menu mw-portlet mw-portlet-cactions emptyPortlet vector-has-collapsible-items" title="Daha fazla seçenek" > <div class="vector-menu-heading"> Eylemler </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-more-view" class="selected vector-more-collapsible-item mw-list-item"><a href="/wiki/Elips"><span>Oku</span></a></li><li id="ca-more-ve-edit" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Elips&amp;veaction=edit" title="Bu sayfayı değiştir [v]" accesskey="v"><span>Değiştir</span></a></li><li id="ca-more-edit" class="collapsible vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Elips&amp;action=edit" title="Bu sayfanın kaynak kodunu düzenleyin [e]" accesskey="e"><span>Kaynağı değiştir</span></a></li><li id="ca-more-history" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Elips&amp;action=history"><span>Geçmişi gör</span></a></li> </ul> </div> </div> <div id="p-tb" class="vector-menu mw-portlet mw-portlet-tb" > <div class="vector-menu-heading"> Genel </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-whatlinkshere" class="mw-list-item"><a href="/wiki/%C3%96zel:SayfayaBa%C4%9Flant%C4%B1lar/Elips" title="Bu sayfaya bağlantı vermiş tüm viki sayfalarının listesi [j]" accesskey="j"><span>Sayfaya bağlantılar</span></a></li><li id="t-recentchangeslinked" class="mw-list-item"><a href="/wiki/%C3%96zel:%C4%B0lgiliDe%C4%9Fi%C5%9Fiklikler/Elips" rel="nofollow" title="Bu sayfadan bağlantı verilen sayfalardaki son değişiklikler [k]" accesskey="k"><span>İlgili değişiklikler</span></a></li><li id="t-permalink" class="mw-list-item"><a href="/w/index.php?title=Elips&amp;oldid=34166531" title="Bu sayfanın bu revizyonuna kalıcı bağlantı"><span>Kalıcı bağlantı</span></a></li><li id="t-info" class="mw-list-item"><a href="/w/index.php?title=Elips&amp;action=info" title="Bu sayfa hakkında daha fazla bilgi"><span>Sayfa bilgisi</span></a></li><li id="t-cite" class="mw-list-item"><a href="/w/index.php?title=%C3%96zel:KaynakG%C3%B6ster&amp;page=Elips&amp;id=34166531&amp;wpFormIdentifier=titleform" title="Bu sayfadan nasıl kaynak göstereceği hakkında bilgi"><span>Bu sayfayı kaynak göster</span></a></li><li id="t-urlshortener" class="mw-list-item"><a href="/w/index.php?title=%C3%96zel:UrlShortener&amp;url=https%3A%2F%2Ftr.wikipedia.org%2Fwiki%2FElips"><span>Kısaltılmış URL&#039;yi al</span></a></li><li id="t-urlshortener-qrcode" class="mw-list-item"><a href="/w/index.php?title=%C3%96zel:QrCode&amp;url=https%3A%2F%2Ftr.wikipedia.org%2Fwiki%2FElips"><span>Karekodu indir</span></a></li> </ul> </div> </div> <div id="p-coll-print_export" class="vector-menu mw-portlet mw-portlet-coll-print_export" > <div class="vector-menu-heading"> Yazdır/dışa aktar </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="coll-create_a_book" class="mw-list-item"><a href="/w/index.php?title=%C3%96zel:Kitap&amp;bookcmd=book_creator&amp;referer=Elips"><span>Bir kitap oluştur</span></a></li><li id="coll-download-as-rl" class="mw-list-item"><a href="/w/index.php?title=%C3%96zel:DownloadAsPdf&amp;page=Elips&amp;action=show-download-screen"><span>PDF olarak indir</span></a></li><li id="t-print" class="mw-list-item"><a href="/w/index.php?title=Elips&amp;printable=yes" title="Bu sayfanın basılmaya uygun sürümü [p]" accesskey="p"><span>Basılmaya uygun görünüm</span></a></li> </ul> </div> </div> <div id="p-wikibase-otherprojects" class="vector-menu mw-portlet mw-portlet-wikibase-otherprojects" > <div class="vector-menu-heading"> Diğer projelerde </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="wb-otherproject-link wb-otherproject-commons mw-list-item"><a href="https://commons.wikimedia.org/wiki/Ellipses" hreflang="en"><span>Wikimedia Commons</span></a></li><li id="t-wikibase" class="wb-otherproject-link wb-otherproject-wikibase-dataitem mw-list-item"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q40112" title="Veri havuzundaki ilgili ögeye bağlantı [g]" accesskey="g"><span>Vikiveri ögesi</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="Sayfa araçları"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="Görünüm"> <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">Görünüm</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">kenar çubuğuna taşı</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">gizle</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">Vikipedi, özgür ansiklopedi</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="tr" dir="ltr"><figure class="mw-default-size mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/Dosya:Conicas1.PNG" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/1/12/Conicas1.PNG/220px-Conicas1.PNG" decoding="async" width="220" height="220" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/1/12/Conicas1.PNG 1.5x" data-file-width="300" data-file-height="300" /></a><figcaption>Elips, bir <a href="/wiki/Koni" title="Koni">koninin</a> bir <a href="/wiki/D%C3%BCzlem" title="Düzlem">düzlem</a> tarafından kesilmesi ile elde edilir.</figcaption></figure> <p><a href="/wiki/Geometri" title="Geometri">Geometride</a>, <b>elips</b> (<a href="/wiki/Yunanca" title="Yunanca">Yunanca</a> ἔλλειψις <i>elleipsis</i> kelimesinden) bir <a href="/wiki/Koni" title="Koni">koninin</a> bir <a href="/wiki/D%C3%BCzlem" title="Düzlem">düzlem</a> tarafından kesilmesi ile elde edilen düzlemsel, ikinci dereceden, kapalı eğridir. </p> <style data-mw-deduplicate="TemplateStyles:r34470590">.mw-parser-output .sidebar{width:22em;float:right;clear:right;margin:0.5em 0 1em 1em;background:var(--background-color-neutral-subtle,#f8f9fa);border:1px solid var(--border-color-base,#a2a9b1);padding:0.2em;text-align:center;line-height:1.4em;font-size:88%;border-collapse:collapse;display:table}body.skin-minerva .mw-parser-output .sidebar{display:table!important;float:right!important;margin:0.5em 0 1em 1em!important}.mw-parser-output .sidebar-subgroup{width:100%;margin:0;border-spacing:0}.mw-parser-output .sidebar-left{float:left;clear:left;margin:0.5em 1em 1em 0}.mw-parser-output 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0.8em;font-weight:bold}.mw-parser-output .sidebar-collapse .sidebar-above,.mw-parser-output .sidebar-collapse .sidebar-below{border-top:1px solid #aaa;border-bottom:1px solid #aaa}.mw-parser-output .sidebar-navbar{text-align:right;font-size:115%;padding:0 0.4em 0.4em}.mw-parser-output .sidebar-list-title{padding:0 0.4em;text-align:left;font-weight:bold;line-height:1.6em;font-size:105%}.mw-parser-output .sidebar-list-title-c{padding:0 0.4em;text-align:center;margin:0 3.3em}@media(max-width:640px){body.mediawiki .mw-parser-output .sidebar{width:100%!important;clear:both;float:none!important;margin-left:0!important;margin-right:0!important}}body.skin--responsive .mw-parser-output .sidebar a>img{max-width:none!important}@media screen{html.skin-theme-clientpref-night .mw-parser-output .sidebar:not(.notheme) .sidebar-list-title,html.skin-theme-clientpref-night .mw-parser-output .sidebar:not(.notheme) .sidebar-title-with-pretitle{background:transparent!important}html.skin-theme-clientpref-night .mw-parser-output .sidebar:not(.notheme) .sidebar-title-with-pretitle a{color:var(--color-progressive)!important}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .sidebar:not(.notheme) .sidebar-list-title,html.skin-theme-clientpref-os .mw-parser-output .sidebar:not(.notheme) .sidebar-title-with-pretitle{background:transparent!important}html.skin-theme-clientpref-os .mw-parser-output .sidebar:not(.notheme) .sidebar-title-with-pretitle a{color:var(--color-progressive)!important}}@media print{body.ns-0 .mw-parser-output .sidebar{display:none!important}}</style><table class="sidebar sidebar-collapse nomobile plainlist" style="background:white;"><tbody><tr><th class="sidebar-title"><a href="/wiki/Geometri" title="Geometri">Geometri</a></th></tr><tr><td class="sidebar-image"><span class="mw-default-size" typeof="mw:File/Frameless"><a href="/wiki/Dosya:Stereographic_projection_in_3D.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/8/88/Stereographic_projection_in_3D.svg/220px-Stereographic_projection_in_3D.svg.png" decoding="async" width="220" height="162" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/88/Stereographic_projection_in_3D.svg/330px-Stereographic_projection_in_3D.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/88/Stereographic_projection_in_3D.svg/440px-Stereographic_projection_in_3D.svg.png 2x" data-file-width="870" data-file-height="639" /></a></span><div class="sidebar-caption">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="/wiki/Ortogonallik" title="Ortogonallik">Ortogonallik</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:r34470590" /><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:r34470590" /><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><br /> </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Tanım"><span id="Tan.C4.B1m"></span>Tanım</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Elips&amp;veaction=edit&amp;section=1" title="Değiştirilen bölüm: Tanım" class="mw-editsection-visualeditor"><span>değiştir</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Elips&amp;action=edit&amp;section=1" title="Bölümün kaynak kodunu değiştir: Tanım"><span>kaynağı değiştir</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-default-size mw-halign-left" typeof="mw:File/Thumb"><a href="/wiki/Dosya:Ellipse_parameters.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/f/f8/Ellipse_parameters.svg/250px-Ellipse_parameters.svg.png" decoding="async" width="250" height="179" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/f8/Ellipse_parameters.svg/375px-Ellipse_parameters.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/f8/Ellipse_parameters.svg/500px-Ellipse_parameters.svg.png 2x" data-file-width="700" data-file-height="500" /></a><figcaption>Elipsin 2a büyüklüğünde büyük (büyük ekseni) ve 2b büyüklüğünde küçük ekseni mevcuttur. Elips bunları çap kabul eden küçük ve büyük çemberleri arasında kalır.</figcaption></figure> <p><b>Elips</b>, bir düzlemde verilen iki noktaya (F<sub>1</sub>, F<sub>2</sub>) uzaklıkları toplamı sâbit olan noktaların <a href="/w/index.php?title=Geometrik_yer&amp;action=edit&amp;redlink=1" class="new" title="Geometrik yer (sayfa mevcut değil)">geometrik yeridir</a>; verilen bu iki noktaya <i>elipsin odakları</i> denir. Odaklarının arasındaki uzunluğa 2c dersek ortadaki nokta elipsin merkez noktasıdır. Şekildeki elipsin 2a asal, 2b ise yedek eksenidir. Aynı zamanda c² + b² = a²'dir. Şekilde de görüldüğü gibi b ve F<sub>1</sub> ile merkez arasındaki <a href="/wiki/Do%C4%9Fru_par%C3%A7as%C4%B1" title="Doğru parçası">doğru parçası</a>, yani c <a href="/w/index.php?title=Dik_kenarlar&amp;action=edit&amp;redlink=1" class="new" title="Dik kenarlar (sayfa mevcut değil)">dik kenarlar</a>, a ise <a href="/wiki/Hipoten%C3%BCs" title="Hipotenüs">hipotenüs</a>´dür. </p> <div class="mw-heading mw-heading2"><h2 id="Denklemi">Denklemi</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Elips&amp;veaction=edit&amp;section=2" title="Değiştirilen bölüm: Denklemi" class="mw-editsection-visualeditor"><span>değiştir</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Elips&amp;action=edit&amp;section=2" title="Bölümün kaynak kodunu değiştir: Denklemi"><span>kaynağı değiştir</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Elips, sabit bir noktaya ve verilen bir doğruya uzaklıkları oranı birden küçük bir sayıya eşit olan noktalarının geometrik yeridir. Denklemi </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\frac {x^{2}}{a^{2}}}+{\frac {y^{2}}{b^{2}}}=1}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mfrac> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msup> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <msup> <mi>b</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mfrac> </mrow> <mo>=</mo> <mn>1</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {x^{2}}{a^{2}}}+{\frac {y^{2}}{b^{2}}}=1}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3d7eb067b1ac196e718e5003ed60a0ea37577483" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.171ex; width:13.372ex; height:6.009ex;" alt="{\displaystyle {\frac {x^{2}}{a^{2}}}+{\frac {y^{2}}{b^{2}}}=1}" /></span></dd></dl> <p>olarak bulunur. </p><p>Merkezi (h, k) noktasında bulunan bir elipsin eşitliği de: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\frac {(x-h)^{2}}{a^{2}}}+{\frac {(y-k)^{2}}{b^{2}}}=1}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mo stretchy="false">(</mo> <mi>x</mi> <mo>&#x2212;<!-- − --></mo> <mi>h</mi> <msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mfrac> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mo stretchy="false">(</mo> <mi>y</mi> <mo>&#x2212;<!-- − --></mo> <mi>k</mi> <msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> <msup> <mi>b</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mfrac> </mrow> <mo>=</mo> <mn>1</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {(x-h)^{2}}{a^{2}}}+{\frac {(y-k)^{2}}{b^{2}}}=1}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/92f25416e6ff576a7202769c44059779c1a362b5" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.171ex; width:25.217ex; height:6.176ex;" alt="{\displaystyle {\frac {(x-h)^{2}}{a^{2}}}+{\frac {(y-k)^{2}}{b^{2}}}=1}" /></span></dd></dl> <p>şeklinde verilebilir. </p> <div class="mw-heading mw-heading3"><h3 id="Parametresi">Parametresi</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Elips&amp;veaction=edit&amp;section=3" title="Değiştirilen bölüm: Parametresi" class="mw-editsection-visualeditor"><span>değiştir</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Elips&amp;action=edit&amp;section=3" title="Bölümün kaynak kodunu değiştir: Parametresi"><span>kaynağı değiştir</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Şekilde p ile gösterilen uzunluğun iki katı yani b ye paralel odaktan geçen <a href="/wiki/Kiri%C5%9F_(geometri)" title="Kiriş (geometri)">kirişin</a> uzunluğu 2p´yi bulmak için şu denklemi kullanabiliriz: </p><p><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\frac {2b^{2}}{a}}=2p}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mn>2</mn> <msup> <mi>b</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> <mi>a</mi> </mfrac> </mrow> <mo>=</mo> <mn>2</mn> <mi>p</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {2b^{2}}{a}}=2p}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0ffdf7f57547b43382921a09c90a87bc94059ed2" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:9.481ex; height:5.676ex;" alt="{\displaystyle {\frac {2b^{2}}{a}}=2p}" /></span> </p> <div class="mw-heading mw-heading3"><h3 id="Herhangi_Bir_Noktadan_Elipse_Çizilen_Teğetin_Denklemi"><span id="Herhangi_Bir_Noktadan_Elipse_.C3.87izilen_Te.C4.9Fetin_Denklemi"></span>Herhangi Bir Noktadan Elipse Çizilen Teğetin Denklemi</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Elips&amp;veaction=edit&amp;section=4" title="Değiştirilen bölüm: Herhangi Bir Noktadan Elipse Çizilen Teğetin Denklemi" class="mw-editsection-visualeditor"><span>değiştir</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Elips&amp;action=edit&amp;section=4" title="Bölümün kaynak kodunu değiştir: Herhangi Bir Noktadan Elipse Çizilen Teğetin Denklemi"><span>kaynağı değiştir</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\frac {(x-h)^{2}}{a^{2}}}+{\frac {(y-k)^{2}}{b^{2}}}=1}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mo stretchy="false">(</mo> <mi>x</mi> <mo>&#x2212;<!-- − --></mo> <mi>h</mi> <msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mfrac> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mo stretchy="false">(</mo> <mi>y</mi> <mo>&#x2212;<!-- − --></mo> <mi>k</mi> <msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> <msup> <mi>b</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mfrac> </mrow> <mo>=</mo> <mn>1</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {(x-h)^{2}}{a^{2}}}+{\frac {(y-k)^{2}}{b^{2}}}=1}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/92f25416e6ff576a7202769c44059779c1a362b5" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.171ex; width:25.217ex; height:6.176ex;" alt="{\displaystyle {\frac {(x-h)^{2}}{a^{2}}}+{\frac {(y-k)^{2}}{b^{2}}}=1}" /></span> denklemli bir elipsin herhangi bir P(m;n) noktasıdan geçen teğetin denklemi <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\frac {(n-k).y}{b^{2}}}=1}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mo stretchy="false">(</mo> <mi>n</mi> <mo>&#x2212;<!-- − --></mo> <mi>k</mi> <mo stretchy="false">)</mo> <mo>.</mo> <mi>y</mi> </mrow> <msup> <mi>b</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mfrac> </mrow> <mo>=</mo> <mn>1</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {(n-k).y}{b^{2}}}=1}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c42242e48606fae8c8a84d53ccf980b446a4821b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.171ex; width:14.542ex; height:6.009ex;" alt="{\displaystyle {\frac {(n-k).y}{b^{2}}}=1}" /></span>´dir. </p> <div class="mw-heading mw-heading3"><h3 id="Üzerindeki_Herhangi_Bir_Noktanın_Elipsin_Merkezine_Uzaklığı"><span id=".C3.9Czerindeki_Herhangi_Bir_Noktan.C4.B1n_Elipsin_Merkezine_Uzakl.C4.B1.C4.9F.C4.B1"></span>Üzerindeki Herhangi Bir Noktanın Elipsin Merkezine Uzaklığı</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Elips&amp;veaction=edit&amp;section=5" title="Değiştirilen bölüm: Üzerindeki Herhangi Bir Noktanın Elipsin Merkezine Uzaklığı" class="mw-editsection-visualeditor"><span>değiştir</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Elips&amp;action=edit&amp;section=5" title="Bölümün kaynak kodunu değiştir: Üzerindeki Herhangi Bir Noktanın Elipsin Merkezine Uzaklığı"><span>kaynağı değiştir</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Elipsin merkezinden elips üzerindeki bir noktaya çizilen ve X ekseniyle arasındaki açı α olan bir doğrunun uzunluğu <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 {\sqrt {\frac {a^{2}\cdot b^{2}}{b^{2}+(a^{2}-b^{2})\cdot \sin {\boldsymbol {\alpha }}}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mfrac> <mrow> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>&#x22c5;<!-- ⋅ --></mo> <msup> <mi>b</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> <mrow> <msup> <mi>b</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <mo stretchy="false">(</mo> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>&#x2212;<!-- − --></mo> <msup> <mi>b</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo stretchy="false">)</mo> <mo>&#x22c5;<!-- ⋅ --></mo> <mi>sin</mi> <mo>&#x2061;<!-- ⁡ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold-italic">&#x3b1;<!-- α --></mi> </mrow> </mrow> </mfrac> </msqrt> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\sqrt {\frac {a^{2}\cdot b^{2}}{b^{2}+(a^{2}-b^{2})\cdot \sin {\boldsymbol {\alpha }}}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6d327e346313f5d39d387724e6dbd17d462d2af5" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.338ex; width:23.728ex; height:7.676ex;" alt="{\displaystyle {\sqrt {\frac {a^{2}\cdot b^{2}}{b^{2}+(a^{2}-b^{2})\cdot \sin {\boldsymbol {\alpha }}}}}}" /></span> veya <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 {\sqrt {\frac {a^{2}\cdot b^{2}}{a^{2}-(a^{2}-b^{2})\cdot \cos {\boldsymbol {\alpha }}}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mfrac> <mrow> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>&#x22c5;<!-- ⋅ --></mo> <msup> <mi>b</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> <mrow> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>&#x2212;<!-- − --></mo> <mo stretchy="false">(</mo> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>&#x2212;<!-- − --></mo> <msup> <mi>b</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo stretchy="false">)</mo> <mo>&#x22c5;<!-- ⋅ --></mo> <mi>cos</mi> <mo>&#x2061;<!-- ⁡ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold-italic">&#x3b1;<!-- α --></mi> </mrow> </mrow> </mfrac> </msqrt> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\sqrt {\frac {a^{2}\cdot b^{2}}{a^{2}-(a^{2}-b^{2})\cdot \cos {\boldsymbol {\alpha }}}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/abebf713fc7233d80aacf429c3f14bbad477c375" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.338ex; width:24.216ex; height:7.676ex;" alt="{\displaystyle {\sqrt {\frac {a^{2}\cdot b^{2}}{a^{2}-(a^{2}-b^{2})\cdot \cos {\boldsymbol {\alpha }}}}}}" /></span> formülü ile hesaplanır. </p> <div class="mw-heading mw-heading2"><h2 id="Basıklığı"><span id="Bas.C4.B1kl.C4.B1.C4.9F.C4.B1"></span>Basıklığı</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Elips&amp;veaction=edit&amp;section=6" title="Değiştirilen bölüm: Basıklığı" class="mw-editsection-visualeditor"><span>değiştir</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Elips&amp;action=edit&amp;section=6" title="Bölümün kaynak kodunu değiştir: Basıklığı"><span>kaynağı değiştir</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Asal eksen uzunluğuyla yedek eksen uzunluğunun farkının asal eksen uzunluğuna oranına <b>elipsin basıklığı</b> denir. </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\frac {2a-2b}{2a}}={\frac {2(a-b)}{2a}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mn>2</mn> <mi>a</mi> <mo>&#x2212;<!-- − --></mo> <mn>2</mn> <mi>b</mi> </mrow> <mrow> <mn>2</mn> <mi>a</mi> </mrow> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mn>2</mn> <mo stretchy="false">(</mo> <mi>a</mi> <mo>&#x2212;<!-- − --></mo> <mi>b</mi> <mo stretchy="false">)</mo> </mrow> <mrow> <mn>2</mn> <mi>a</mi> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {2a-2b}{2a}}={\frac {2(a-b)}{2a}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5fbfadabe987b8c4d46afe5a3bf49e34b25fa800" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:20.203ex; height:5.676ex;" alt="{\displaystyle {\frac {2a-2b}{2a}}={\frac {2(a-b)}{2a}}}" /></span></dd></dl> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\frac {a-b}{a}}=1-{\frac {b}{a}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>a</mi> <mo>&#x2212;<!-- − --></mo> <mi>b</mi> </mrow> <mi>a</mi> </mfrac> </mrow> <mo>=</mo> <mn>1</mn> <mo>&#x2212;<!-- − --></mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>b</mi> <mi>a</mi> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {a-b}{a}}=1-{\frac {b}{a}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ad7dc56ec2cf4c7c23e3abc55f0255ecfe03be0b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:15.071ex; height:5.343ex;" alt="{\displaystyle {\frac {a-b}{a}}=1-{\frac {b}{a}}}" /></span></dd></dl> <div class="mw-heading mw-heading2"><h2 id="Dış_merkezliği"><span id="D.C4.B1.C5.9F_merkezli.C4.9Fi"></span>Dış merkezliği</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Elips&amp;veaction=edit&amp;section=7" title="Değiştirilen bölüm: Dış merkezliği" class="mw-editsection-visualeditor"><span>değiştir</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Elips&amp;action=edit&amp;section=7" title="Bölümün kaynak kodunu değiştir: Dış merkezliği"><span>kaynağı değiştir</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Elipste, odaklar arasındaki uzaklığın asal eksen uzunluğuna oranına elipsin dış merkezliği (eccentricity) denir ve <i><b>e</b></i> ile gösterilir: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\frac {2c}{2a}}={\frac {c}{a}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mn>2</mn> <mi>c</mi> </mrow> <mrow> <mn>2</mn> <mi>a</mi> </mrow> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>c</mi> <mi>a</mi> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {2c}{2a}}={\frac {c}{a}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/61b81156c9350c6ef439fcf17f6cc0c749c5bee1" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:8.393ex; height:5.176ex;" alt="{\displaystyle {\frac {2c}{2a}}={\frac {c}{a}}}" /></span> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\frac {}{}}=e}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow></mrow> <mrow></mrow> </mfrac> </mrow> <mo>=</mo> <mi>e</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {}{}}=e}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c936298705c234cffffb871e406f4440f5e139fd" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:5.018ex; height:3.676ex;" alt="{\displaystyle {\frac {}{}}=e}" /></span></dd></dl> <div class="mw-heading mw-heading2"><h2 id="Ayrıca_bakınız"><span id="Ayr.C4.B1ca_bak.C4.B1n.C4.B1z"></span>Ayrıca bakınız</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Elips&amp;veaction=edit&amp;section=8" title="Değiştirilen bölüm: Ayrıca bakınız" class="mw-editsection-visualeditor"><span>değiştir</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Elips&amp;action=edit&amp;section=8" title="Bölümün kaynak kodunu değiştir: Ayrıca bakınız"><span>kaynağı değiştir</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Matematiksel_%C5%9Fekillerin_listesi" title="Matematiksel şekillerin listesi">Matematiksel şekillerin listesi</a></li></ul> <div role="navigation" class="navbox authority-control" aria-labelledby="Otorite_kontrolü_frameless&amp;#124;text-top&amp;#124;10px&amp;#124;alt=Bunu_Vikiveri&amp;#039;de_düzenleyin&amp;#124;link=https&amp;#58;//www.wikidata.org/wiki/Q40112&amp;#124;class=noprint&amp;#124;Bunu_Vikiveri&amp;#039;de_düzenleyin" style="padding:3px"><table class="nowraplinks hlist navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th id="Otorite_kontrolü_frameless&amp;#124;text-top&amp;#124;10px&amp;#124;alt=Bunu_Vikiveri&amp;#039;de_düzenleyin&amp;#124;link=https&amp;#58;//www.wikidata.org/wiki/Q40112&amp;#124;class=noprint&amp;#124;Bunu_Vikiveri&amp;#039;de_düzenleyin" scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Otorite_kontrol%C3%BC" title="Otorite kontrolü">Otorite kontrolü</a> <span class="mw-valign-text-top noprint" typeof="mw:File/Frameless"><a href="https://www.wikidata.org/wiki/Q40112" title="Bunu Vikiveri&#39;de düzenleyin"><img alt="Bunu Vikiveri&#39;de düzenleyin" src="//upload.wikimedia.org/wikipedia/commons/thumb/8/8a/OOjs_UI_icon_edit-ltr-progressive.svg/10px-OOjs_UI_icon_edit-ltr-progressive.svg.png" decoding="async" width="10" height="10" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/8a/OOjs_UI_icon_edit-ltr-progressive.svg/15px-OOjs_UI_icon_edit-ltr-progressive.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/8a/OOjs_UI_icon_edit-ltr-progressive.svg/20px-OOjs_UI_icon_edit-ltr-progressive.svg.png 2x" data-file-width="20" data-file-height="20" /></a></span></th><td class="navbox-list navbox-odd" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><span class="nowrap"><a href="/wiki/Fransa_Mill%C3%AE_K%C3%BCt%C3%BCphanesi" title="Fransa Millî Kütüphanesi">BNF</a>: <span class="uid"><a rel="nofollow" class="external text" href="https://catalogue.bnf.fr/ark:/12148/cb11981967h">cb11981967h</a> <a rel="nofollow" class="external text" href="https://data.bnf.fr/ark:/12148/cb11981967h">(data)</a></span></span></li> <li><span class="nowrap"><a href="/wiki/T%C3%BCmle%C5%9Fik_Otorite_Dosyas%C4%B1" title="Tümleşik Otorite Dosyası">GND</a>: <span class="uid"><a rel="nofollow" class="external text" href="https://d-nb.info/gnd/4194779-4">4194779-4</a></span></span></li> <li><span class="nowrap"><a href="/wiki/Kongre_K%C3%BCt%C3%BCphanesi_Kontrol_Numaras%C4%B1" title="Kongre Kütüphanesi Kontrol Numarası">LCCN</a>: <span class="uid"><a rel="nofollow" class="external text" href="https://id.loc.gov/authorities/subjects/sh85042604">sh85042604</a></span></span></li> <li><span class="nowrap"><a href="/wiki/%C4%B0srail_Ulusal_K%C3%BCt%C3%BCphanesi" title="İsrail Ulusal Kütüphanesi">NLI</a>: <span class="uid"><a rel="nofollow" class="external text" href="https://www.nli.org.il/en/authorities/987007540845005171">987007540845005171</a></span></span></li></ul> </div></td></tr></tbody></table></div></div><!--esi <esi:include src="/esitest-fa8a495983347898/content" /> --><noscript><img src="https://auth.wikimedia.org/loginwiki/wiki/Special:CentralAutoLogin/start?useformat=desktop&amp;type=1x1&amp;usesul3=1" alt="" width="1" height="1" style="border: none; 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