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class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <div id="p-vector-user-menu-overflow" class="vector-menu mw-portlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="//donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&utm_medium=sidebar&utm_campaign=C13_ckb.wikipedia.org&uselang=ckb" class=""><span>بەخشین بە ویکیپیدیا</span></a> </li> <li id="pt-createaccount-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=%D8%AA%D8%A7%DB%8C%D8%A8%DB%95%D8%AA:%D8%AF%D8%B1%D9%88%D8%B3%D8%AA%DA%A9%D8%B1%D8%AF%D9%86%DB%8C_%DA%BE%DB%95%DA%98%D9%85%D8%A7%D8%B1&returnto=%D8%AA%DB%8C%DB%86%D8%B1%D9%85%DB%8C+%D8%A8%DB%95%D8%AA%DA%B5%DB%8C%D9%85%DB%86%D8%B3" title="تۆ ھان دەدرێیت کە ھەژمارێک دروست بکەیت و بچیتە ژوورەوە، ئەمە سەرەکی نییە بەھەرحاڵ" class=""><span>ھەژمار دروست بکە</span></a> </li> <li id="pt-login-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=%D8%AA%D8%A7%DB%8C%D8%A8%DB%95%D8%AA:%DA%86%D9%88%D9%88%D9%86%DB%95%DA%98%D9%88%D9%88%D8%B1%DB%95%D9%88%DB%95%DB%8C_%D8%A8%DB%95%DA%A9%D8%A7%D8%B1%DA%BE%DB%8E%D9%86%DB%95%D8%B1&returnto=%D8%AA%DB%8C%DB%86%D8%B1%D9%85%DB%8C+%D8%A8%DB%95%D8%AA%DA%B5%DB%8C%D9%85%DB%86%D8%B3" title="پێشنیارت پێدەکرێ بچیتە ژوورەوە؛ ھەرچەندە زۆرت لێناکرێ [o]" accesskey="o" class=""><span>بچۆ ژوورەوە</span></a> </li> </ul> </div> </div> </div> <div id="vector-user-links-dropdown" class="vector-dropdown vector-user-menu vector-button-flush-right vector-user-menu-logged-out" title="ھەڵبژاردەی زیاتر" > <input type="checkbox" id="vector-user-links-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-user-links-dropdown" class="vector-dropdown-checkbox " aria-label="ئامڕازە تاکەکەسییەکان" > <label id="vector-user-links-dropdown-label" for="vector-user-links-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-ellipsis mw-ui-icon-wikimedia-ellipsis"></span> <span class="vector-dropdown-label-text">ئامڕازە تاکەکەسییەکان</span> </label> <div class="vector-dropdown-content"> <div id="p-personal" class="vector-menu mw-portlet mw-portlet-personal user-links-collapsible-item" title="User menu" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport" class="user-links-collapsible-item mw-list-item"><a href="//donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&utm_medium=sidebar&utm_campaign=C13_ckb.wikipedia.org&uselang=ckb"><span>بەخشین بە ویکیپیدیا</span></a></li><li id="pt-createaccount" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=%D8%AA%D8%A7%DB%8C%D8%A8%DB%95%D8%AA:%D8%AF%D8%B1%D9%88%D8%B3%D8%AA%DA%A9%D8%B1%D8%AF%D9%86%DB%8C_%DA%BE%DB%95%DA%98%D9%85%D8%A7%D8%B1&returnto=%D8%AA%DB%8C%DB%86%D8%B1%D9%85%DB%8C+%D8%A8%DB%95%D8%AA%DA%B5%DB%8C%D9%85%DB%86%D8%B3" title="تۆ ھان دەدرێیت کە ھەژمارێک دروست بکەیت و بچیتە ژوورەوە، ئەمە سەرەکی نییە بەھەرحاڵ"><span class="vector-icon mw-ui-icon-userAdd mw-ui-icon-wikimedia-userAdd"></span> <span>ھەژمار دروست بکە</span></a></li><li id="pt-login" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=%D8%AA%D8%A7%DB%8C%D8%A8%DB%95%D8%AA:%DA%86%D9%88%D9%88%D9%86%DB%95%DA%98%D9%88%D9%88%D8%B1%DB%95%D9%88%DB%95%DB%8C_%D8%A8%DB%95%DA%A9%D8%A7%D8%B1%DA%BE%DB%8E%D9%86%DB%95%D8%B1&returnto=%D8%AA%DB%8C%DB%86%D8%B1%D9%85%DB%8C+%D8%A8%DB%95%D8%AA%DA%B5%DB%8C%D9%85%DB%86%D8%B3" title="پێشنیارت پێدەکرێ بچیتە ژوورەوە؛ ھەرچەندە زۆرت لێناکرێ [o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>بچۆ ژوورەوە</span></a></li> </ul> </div> </div> <div id="p-user-menu-anon-editor" class="vector-menu mw-portlet mw-portlet-user-menu-anon-editor" > <div class="vector-menu-heading"> ئەو پەڕانەی بۆ ئەو دەستکاریکەرانەن کە لەدەرەوەن <a href="/wiki/%D9%88%DB%8C%DA%A9%DB%8C%D9%BE%DB%8C%D8%AF%DB%8C%D8%A7:%D9%86%D8%A7%D8%B3%D8%A7%D9%86%D8%AF%D9%86" aria-label="زیاتر لەسەر دەستکاریکردن فێر بە"><span>زیاتر فێر بە</span></a> </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-anoncontribs" class="mw-list-item"><a href="/wiki/%D8%AA%D8%A7%DB%8C%D8%A8%DB%95%D8%AA:%D8%A8%DB%95%D8%B4%D8%AF%D8%A7%D8%B1%DB%8C%DB%8C%DB%95%DA%A9%D8%A7%D9%86%D9%85" title="پێڕستی ئەو دەستکارییانەی لەم ناونیشانی ئای-پییەوە کراوە [y]" accesskey="y"><span>بەشدارییەکان</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/%D8%AA%D8%A7%DB%8C%D8%A8%DB%95%D8%AA:%D9%84%DB%8E%D8%AF%D9%88%D8%A7%D9%86%DB%95%DA%A9%DB%95%D9%85" title="لێدوان لەسەر دەستکارییەکان لەم ئایپی ئەدرەسەوە [n]" accesskey="n"><span>لێدوان</span></a></li> </ul> </div> </div> </div> </div> </nav> </div> </header> </div> <div class="mw-page-container"> <div class="mw-page-container-inner"> <div class="vector-sitenotice-container"> <div id="siteNotice"></div> </div> <div class="vector-column-start"> <div class="vector-main-menu-container"> <div id="mw-navigation"> <nav id="mw-panel" class="vector-main-menu-landmark" aria-label="پێگە"> <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="ناوەڕۆکەکان" 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">ناوەڕۆکەکان</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">بخە لاتەنیشت</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">بشارەوە</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">دەستپێک</div> </a> </li> <li id="toc-سەرچاوەکان" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#سەرچاوەکان"> <div class="vector-toc-text"> <span class="vector-toc-numb">١</span> <span>سەرچاوەکان</span> </div> </a> <ul id="toc-سەرچاوەکان-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="ناوەڕۆکەکان" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="خشتەی ناوەڕۆکەکان بگۆڕە" > <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">خشتەی ناوەڕۆکەکان بگۆڕە</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">تیۆرمی بەتڵیمۆس</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="بڕۆ بۆ وتارێک بە زمانێکی تر. بە ٣٨ زمان بەردەستە" > <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-38" 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">٣٨ زمان</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D9%85%D8%A8%D8%B1%D9%87%D9%86%D8%A9_%D8%A8%D8%B7%D9%84%D9%8A%D9%85%D9%88%D8%B3" title="مبرهنة بطليموس – عەرەبی" lang="ar" hreflang="ar" data-title="مبرهنة بطليموس" data-language-autonym="العربية" data-language-local-name="عەرەبی" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Teorema_de_Ptolemeu" title="Teorema de Ptolemeu – كاتالۆنی" lang="ca" hreflang="ca" data-title="Teorema de Ptolemeu" data-language-autonym="Català" data-language-local-name="كاتالۆنی" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Satz_von_Ptolem%C3%A4us" title="Satz von Ptolemäus – ئەڵمانی" lang="de" hreflang="de" data-title="Satz von Ptolemäus" data-language-autonym="Deutsch" data-language-local-name="ئەڵمانی" 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%98%CE%B5%CF%8E%CF%81%CE%B7%CE%BC%CE%B1_%CF%84%CE%BF%CF%85_%CE%A0%CF%84%CE%BF%CE%BB%CE%B5%CE%BC%CE%B1%CE%AF%CE%BF%CF%85" title="Θεώρημα του Πτολεμαίου – یۆنانی" lang="el" hreflang="el" data-title="Θεώρημα του Πτολεμαίου" data-language-autonym="Ελληνικά" data-language-local-name="یۆنانی" 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/Ptolemy%27s_theorem" title="Ptolemy's theorem – ئینگلیزی" lang="en" hreflang="en" data-title="Ptolemy's theorem" data-language-autonym="English" data-language-local-name="ئینگلیزی" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Teorema_de_Ptolomeo" title="Teorema de Ptolomeo – ئیسپانی" lang="es" hreflang="es" data-title="Teorema de Ptolomeo" data-language-autonym="Español" data-language-local-name="ئیسپانی" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D9%82%D8%B6%DB%8C%D9%87_%D8%A8%D8%B7%D9%84%D9%85%DB%8C%D9%88%D8%B3" title="قضیه بطلمیوس – فارسی" lang="fa" hreflang="fa" data-title="قضیه بطلمیوس" data-language-autonym="فارسی" data-language-local-name="فارسی" 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/Ptolemaioksen_lause" title="Ptolemaioksen lause – فینلەندی" lang="fi" hreflang="fi" data-title="Ptolemaioksen lause" data-language-autonym="Suomi" data-language-local-name="فینلەندی" 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/Th%C3%A9or%C3%A8me_de_Ptol%C3%A9m%C3%A9e" title="Théorème de Ptolémée – فەرەنسی" lang="fr" hreflang="fr" data-title="Théorème de Ptolémée" data-language-autonym="Français" data-language-local-name="فەرەنسی" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Teorema_de_Tolomeo" title="Teorema de Tolomeo – گالیسی" lang="gl" hreflang="gl" data-title="Teorema de Tolomeo" data-language-autonym="Galego" data-language-local-name="گالیسی" 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%9E%D7%A9%D7%A4%D7%98_%D7%AA%D7%9C%D7%9E%D7%99" title="משפט תלמי – عیبری" lang="he" hreflang="he" data-title="משפט תלמי" data-language-autonym="עברית" data-language-local-name="عیبری" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%AA%E0%A5%8D%E0%A4%A4%E0%A5%8B%E0%A4%B2%E0%A5%87%E0%A4%AE%E0%A5%80_%E0%A4%95%E0%A4%BE_%E0%A4%AA%E0%A5%8D%E0%A4%B0%E0%A4%AE%E0%A5%87%E0%A4%AF" title="प्तोलेमी का प्रमेय – هیندی" lang="hi" hreflang="hi" data-title="प्तोलेमी का प्रमेय" data-language-autonym="हिन्दी" data-language-local-name="هیندی" 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/Ptolemejev_pou%C4%8Dak" title="Ptolemejev poučak – كرواتی" lang="hr" hreflang="hr" data-title="Ptolemejev poučak" data-language-autonym="Hrvatski" data-language-local-name="كرواتی" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Ptolemaiosz-t%C3%A9tel" title="Ptolemaiosz-tétel – هەنگاری" lang="hu" hreflang="hu" data-title="Ptolemaiosz-tétel" data-language-autonym="Magyar" data-language-local-name="هەنگاری" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D5%8A%D5%BF%D5%B2%D5%B8%D5%B4%D5%A5%D5%B8%D5%BD%D5%AB_%D5%A9%D5%A5%D5%B8%D6%80%D5%A5%D5%B4" title="Պտղոմեոսի թեորեմ – ئەرمەنی" lang="hy" hreflang="hy" data-title="Պտղոմեոսի թեորեմ" data-language-autonym="Հայերեն" data-language-local-name="ئەرمەنی" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Teorema_di_Tolomeo" title="Teorema di Tolomeo – ئیتالی" lang="it" hreflang="it" data-title="Teorema di Tolomeo" data-language-autonym="Italiano" data-language-local-name="ئیتالی" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E3%83%88%E3%83%AC%E3%83%9F%E3%83%BC%E3%81%AE%E5%AE%9A%E7%90%86" title="トレミーの定理 – ژاپۆنی" lang="ja" hreflang="ja" data-title="トレミーの定理" data-language-autonym="日本語" data-language-local-name="ژاپۆنی" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/%E1%83%9E%E1%83%A2%E1%83%9D%E1%83%9A%E1%83%94%E1%83%9B%E1%83%94%E1%83%A1_%E1%83%97%E1%83%94%E1%83%9D%E1%83%A0%E1%83%94%E1%83%9B%E1%83%90" title="პტოლემეს თეორემა – گۆرجستانی" lang="ka" hreflang="ka" data-title="პტოლემეს თეორემა" data-language-autonym="ქართული" data-language-local-name="گۆرجستانی" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-km mw-list-item"><a href="https://km.wikipedia.org/wiki/%E1%9E%91%E1%9F%92%E1%9E%9A%E1%9E%B9%E1%9E%9F%E1%9F%92%E1%9E%8F%E1%9E%B8%E1%9E%94%E1%9E%91%E1%9E%8F%E1%9E%BC%E1%9E%9B%E1%9F%81%E1%9E%98%E1%9E%B8" title="ទ្រឹស្តីបទតូលេមី – خمێر" lang="km" hreflang="km" data-title="ទ្រឹស្តីបទតូលេមី" data-language-autonym="ភាសាខ្មែរ" data-language-local-name="خمێر" class="interlanguage-link-target"><span>ភាសាខ្មែរ</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%ED%94%84%ED%86%A8%EB%A0%88%EB%A7%88%EC%9D%B4%EC%98%A4%EC%8A%A4_%EC%A0%95%EB%A6%AC" title="프톨레마이오스 정리 – كۆری" lang="ko" hreflang="ko" data-title="프톨레마이오스 정리" data-language-autonym="한국어" data-language-local-name="كۆری" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Ptolem%C4%97jaus_teorema" title="Ptolemėjaus teorema – لیتوانی" lang="lt" hreflang="lt" data-title="Ptolemėjaus teorema" data-language-autonym="Lietuvių" data-language-local-name="لیتوانی" 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/Ptolemaja_teor%C4%93ma" title="Ptolemaja teorēma – لێتۆنی" lang="lv" hreflang="lv" data-title="Ptolemaja teorēma" data-language-autonym="Latviešu" data-language-local-name="لێتۆنی" 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%9F%D1%82%D0%BE%D0%BB%D0%BE%D0%BC%D0%B5%D0%B5%D0%B2%D0%B0_%D1%82%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0" title="Птоломеева теорема – ماكێدۆنی" lang="mk" hreflang="mk" data-title="Птоломеева теорема" data-language-autonym="Македонски" data-language-local-name="ماكێدۆنی" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Stelling_van_Ptolemaeus" title="Stelling van Ptolemaeus – هۆڵەندی" lang="nl" hreflang="nl" data-title="Stelling van Ptolemaeus" data-language-autonym="Nederlands" data-language-local-name="هۆڵەندی" 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/Ptolemaios-satsen" title="Ptolemaios-satsen – نەرویژیی نینۆرسک" lang="nn" hreflang="nn" data-title="Ptolemaios-satsen" data-language-autonym="Norsk nynorsk" data-language-local-name="نەرویژیی نینۆرسک" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Twierdzenie_Ptolemeusza" title="Twierdzenie Ptolemeusza – پۆڵەندی" lang="pl" hreflang="pl" data-title="Twierdzenie Ptolemeusza" data-language-autonym="Polski" data-language-local-name="پۆڵەندی" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Teorema_de_Ptolomeu" title="Teorema de Ptolomeu – پورتوگالی" lang="pt" hreflang="pt" data-title="Teorema de Ptolomeu" data-language-autonym="Português" data-language-local-name="پورتوگالی" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Teorema_lui_Ptolemeu" title="Teorema lui Ptolemeu – ڕۆمانی" lang="ro" hreflang="ro" data-title="Teorema lui Ptolemeu" data-language-autonym="Română" data-language-local-name="ڕۆمانی" 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%9D%D0%B5%D1%80%D0%B0%D0%B2%D0%B5%D0%BD%D1%81%D1%82%D0%B2%D0%BE_%D0%9F%D1%82%D0%BE%D0%BB%D0%B5%D0%BC%D0%B5%D1%8F" title="Неравенство Птолемея – ڕووسی" lang="ru" hreflang="ru" data-title="Неравенство Птолемея" data-language-autonym="Русский" data-language-local-name="ڕووسی" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Ptolemajev_izrek" title="Ptolemajev izrek – سلۆڤێنی" lang="sl" hreflang="sl" data-title="Ptolemajev izrek" data-language-autonym="Slovenščina" data-language-local-name="سلۆڤێنی" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Ptolemaios_sats" title="Ptolemaios sats – سویدی" lang="sv" hreflang="sv" data-title="Ptolemaios sats" data-language-autonym="Svenska" data-language-local-name="سویدی" 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/Uhakiki_wa_Ptolemaio" title="Uhakiki wa Ptolemaio – سواهیلی" lang="sw" hreflang="sw" data-title="Uhakiki wa Ptolemaio" data-language-autonym="Kiswahili" data-language-local-name="سواهیلی" 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%A4%E0%AF%8A%E0%AE%B2%E0%AF%86%E0%AE%AE%E0%AE%BF%E0%AE%AF%E0%AE%BF%E0%AE%A9%E0%AF%8D_%E0%AE%A4%E0%AF%87%E0%AE%B1%E0%AF%8D%E0%AE%B1%E0%AE%AE%E0%AF%8D" title="தொலெமியின் தேற்றம் – تامیلی" lang="ta" hreflang="ta" data-title="தொலெமியின் தேற்றம்" data-language-autonym="தமிழ்" data-language-local-name="تامیلی" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Batlamyus_teoremi" title="Batlamyus teoremi – تورکی" lang="tr" hreflang="tr" data-title="Batlamyus teoremi" data-language-autonym="Türkçe" data-language-local-name="تورکی" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%A2%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0_%D0%9F%D1%82%D0%BE%D0%BB%D0%B5%D0%BC%D0%B5%D1%8F" title="Теорема Птолемея – ئۆكراینی" lang="uk" hreflang="uk" data-title="Теорема Птолемея" data-language-autonym="Українська" data-language-local-name="ئۆكراینی" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/%C4%90%E1%BB%8Bnh_l%C3%BD_Ptoleme" title="Định lý Ptoleme – ڤیەتنامی" lang="vi" hreflang="vi" data-title="Định lý Ptoleme" data-language-autonym="Tiếng Việt" data-language-local-name="ڤیەتنامی" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E6%89%98%E5%8B%92%E5%AF%86%E5%AE%9A%E7%90%86" title="托勒密定理 – چینی" 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href="/w/index.php?title=%D8%AA%D8%A7%DB%8C%D8%A8%DB%95%D8%AA:DownloadAsPdf&page=%D8%AA%DB%8C%DB%86%D8%B1%D9%85%DB%8C_%D8%A8%DB%95%D8%AA%DA%B5%DB%8C%D9%85%DB%86%D8%B3&action=show-download-screen"><span>داگرتن بە PDF</span></a></li><li id="t-print" class="mw-list-item"><a href="/w/index.php?title=%D8%AA%DB%8C%DB%86%D8%B1%D9%85%DB%8C_%D8%A8%DB%95%D8%AA%DA%B5%DB%8C%D9%85%DB%86%D8%B3&printable=yes" title="وەشانی چاپی ئەم پەڕەیە [p]" accesskey="p"><span>وەشانی ئامادەی چاپ</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"> لە پڕۆژەکانی تر </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/Category:Ptolemy%27s_theorem" hreflang="en"><span>ویکیمیدیا کۆمنز</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/Q459547" title="بەستەر بۆ بەندی خەزێنەی دراوەی پەیوەندیدار [g]" accesskey="g"><span>بەندی ویکیدراوە</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="ئامرازەکانی پەڕە"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="ڕواڵەت"> <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">ڕواڵەت</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">بخە لاتەنیشت</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">بشارەوە</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">لە ئینسایکڵۆپیدیای ئازادی ویکیپیدیاوە</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-rtl mw-parser-output" lang="ckb" dir="rtl"><figure class="mw-default-size mw-halign-left" typeof="mw:File/Thumb"><a href="/wiki/%D9%BE%DB%95%DA%95%DA%AF%DB%95:Ptolemy_Theorem.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/5/52/Ptolemy_Theorem.svg/220px-Ptolemy_Theorem.svg.png" decoding="async" width="220" height="220" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/52/Ptolemy_Theorem.svg/330px-Ptolemy_Theorem.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/5/52/Ptolemy_Theorem.svg/440px-Ptolemy_Theorem.svg.png 2x" data-file-width="512" data-file-height="512" /></a><figcaption></figcaption></figure> <p>لە <a href="/wiki/%D8%A6%DB%95%D9%86%D8%AF%D8%A7%D8%B2%DB%95%DB%8C_%D8%A6%DB%8C%D9%82%D9%84%DB%8C%D8%AF%D8%B3%DB%8C" title="ئەندازەی ئیقلیدسی">ئەندازەی ئیقلیدسیدا</a> <b>تیۆرمی بەتڵیمۆس</b> پەیوەندیی نێوان <a href="/wiki/%DA%86%D9%88%D8%A7%D8%B1%D9%84%D8%A7%DB%8C_%D8%A8%D8%A7%D8%B2%D9%86%DB%95%DB%8C%DB%8C" title="چوارلای بازنەیی">چوارلایەکی بازنەیی</a> و <a href="/wiki/%DA%A9%DB%86%D8%AA%DB%95%D8%B1%DB%95" title="کۆتەرە">کۆتەرەکانی</a> چوارلایەکە دەردەبڕێت. بەپێی تیۆرمی بەتڵیمۆس ئەگەر <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 \;ABCD}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mspace width="thickmathspace" /> <mi>A</mi> <mi>B</mi> <mi>C</mi> <mi>D</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \;ABCD}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7d5b37746977d2b4ff8f44d5eec46b36ef1a84ba" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:7.843ex; height:2.176ex;" alt="{\displaystyle \;ABCD}"></span> <a href="/wiki/%DA%86%D9%88%D8%A7%D8%B1%D9%84%D8%A7" title="چوارلا">چوارلایەکی</a> دڵخواز بێت، ئەوا </p> <div dir="ltr" class="mw-content-ltr"> <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 AB\times CD+BC\times DA\geq AC\times BD}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>A</mi> <mi>B</mi> <mo>×</mo> <mi>C</mi> <mi>D</mi> <mo>+</mo> <mi>B</mi> <mi>C</mi> <mo>×</mo> <mi>D</mi> <mi>A</mi> <mo>≥</mo> <mi>A</mi> <mi>C</mi> <mo>×</mo> <mi>B</mi> <mi>D</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle AB\times CD+BC\times DA\geq AC\times BD}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4ca3b96441e3076ef7756792cfc7a3c41c28a70f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:36.053ex; height:2.343ex;" alt="{\displaystyle AB\times CD+BC\times DA\geq AC\times BD}"></span>. </p> </div> <p>ئەم لاسەنگەیە لە کاتێکدا دەبێتە یەکسانی ئەگەر چوارلای <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 \;ABCD}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mspace width="thickmathspace" /> <mi>A</mi> <mi>B</mi> <mi>C</mi> <mi>D</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \;ABCD}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7d5b37746977d2b4ff8f44d5eec46b36ef1a84ba" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:7.843ex; height:2.176ex;" alt="{\displaystyle \;ABCD}"></span> چوارلایەکی <a href="/wiki/%DA%86%D9%88%D8%A7%D8%B1%D9%84%D8%A7%DB%8C_%D8%A8%D8%A7%D8%B2%D9%86%DB%95%DB%8C%DB%8C" title="چوارلای بازنەیی">دەوردراو</a> بێت. لێرەدا، <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 \;AC}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mspace width="thickmathspace" /> <mi>A</mi> <mi>C</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \;AC}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c8dde909a43dd531047d2335b110745ac39300a7" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:4.155ex; height:2.176ex;" alt="{\displaystyle \;AC}"></span> و <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 \;BD}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mspace width="thickmathspace" /> <mi>B</mi> <mi>D</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \;BD}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1954bf9ef4b2d3c1b808323f0421ef8cee4c4ebd" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:4.333ex; height:2.176ex;" alt="{\displaystyle \;BD}"></span> کۆتەرەی چوارلایەکەن. </p> <div class="mw-heading mw-heading2"><h2 id="سەرچاوەکان"><span id=".D8.B3.DB.95.D8.B1.DA.86.D8.A7.D9.88.DB.95.DA.A9.D8.A7.D9.86"></span>سەرچاوەکان</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D8%AA%DB%8C%DB%86%D8%B1%D9%85%DB%8C_%D8%A8%DB%95%D8%AA%DA%B5%DB%8C%D9%85%DB%86%D8%B3&action=edit&section=1" title="دەستکاریکردنی بەش: سەرچاوەکان"><span>دەستکاری</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1215796">.mw-parser-output .reflist{font-size:90%;margin-bottom:0.5em;list-style-type:decimal}.mw-parser-output .reflist .references{font-size:100%;margin-bottom:0;list-style-type:inherit}.mw-parser-output .reflist-columns-2{column-width:30em}.mw-parser-output .reflist-columns-3{column-width:25em}.mw-parser-output .reflist-columns{margin-top:0.3em}.mw-parser-output .reflist-columns ol{margin-top:0}.mw-parser-output .reflist-columns li{page-break-inside:avoid;break-inside:avoid-column}.mw-parser-output .reflist-upper-alpha{list-style-type:upper-alpha}.mw-parser-output .reflist-upper-roman{list-style-type:upper-roman}.mw-parser-output .reflist-lower-alpha{list-style-type:lower-alpha}.mw-parser-output .reflist-lower-greek{list-style-type:lower-greek}.mw-parser-output .reflist-lower-roman{list-style-type:lower-roman}</style><div class="reflist"> </div> <ul><li>کتاب هندسه مسطحه، ناتان آلتشیلر کورت، انتشارات فاطمی</li></ul> <p><br /> </p> <ul class="bandeau-portail وێنۆچکەکان" id="bandeau-portail"> <li class="bandeau-portail-element"><span class="bandeau-portail-icone" style="margin-right:1em"><span class="noviewer" typeof="mw:File"><a href="/wiki/%D8%AF%DB%95%D8%B1%D9%88%D8%A7%D8%B2%DB%95:%D9%85%D8%A7%D8%AA%D9%85%D8%A7%D8%AA%DB%8C%DA%A9" title="دەروازە:ماتماتیک"><img alt="ھێمای دەروازە" src="//upload.wikimedia.org/wikipedia/commons/thumb/1/10/P_math_blank.svg/31px-P_math_blank.svg.png" decoding="async" width="31" height="28" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/10/P_math_blank.svg/47px-P_math_blank.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/10/P_math_blank.svg/62px-P_math_blank.svg.png 2x" data-file-width="400" data-file-height="360" /></a></span></span><span class="bandeau-portail-texte"><a href="/wiki/%D8%AF%DB%95%D8%B1%D9%88%D8%A7%D8%B2%DB%95:%D9%85%D8%A7%D8%AA%D9%85%D8%A7%D8%AA%DB%8C%DA%A9" title="دەروازە:ماتماتیک">دەروازەی ماتماتیک</a></span></li> <li class="bandeau-portail-element"><span class="bandeau-portail-icone" style="margin-right:1em"><span class="noviewer" typeof="mw:File"><a href="/wiki/%D8%AF%DB%95%D8%B1%D9%88%D8%A7%D8%B2%DB%95:%D8%A6%DB%95%D9%86%D8%AF%D8%A7%D8%B2%DB%95" title="دەروازە:ئەندازە"><img alt="ھێمای دەروازە" src="//upload.wikimedia.org/wikipedia/commons/thumb/e/e4/Crystal_Clear_app_3d.png/28px-Crystal_Clear_app_3d.png" decoding="async" width="28" height="28" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/e4/Crystal_Clear_app_3d.png/42px-Crystal_Clear_app_3d.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/e4/Crystal_Clear_app_3d.png/56px-Crystal_Clear_app_3d.png 2x" data-file-width="128" data-file-height="128" /></a></span></span><span class="bandeau-portail-texte"><a href="/wiki/%D8%AF%DB%95%D8%B1%D9%88%D8%A7%D8%B2%DB%95:%D8%A6%DB%95%D9%86%D8%AF%D8%A7%D8%B2%DB%95" title="دەروازە:ئەندازە">دەروازەی ئەندازە</a></span></li> <li class="bandeau-portail-element"><span class="bandeau-portail-icone" style="margin-right:1em"><span class="noviewer" typeof="mw:File"><a href="/wiki/%D8%AF%DB%95%D8%B1%D9%88%D8%A7%D8%B2%DB%95:%DA%AF%DB%95%D8%B1%D8%AF%D9%88%D9%88%D9%86" title="دەروازە:گەردوون"><img alt="ھێمای دەروازە" src="//upload.wikimedia.org/wikipedia/commons/thumb/0/09/P_space.svg/31px-P_space.svg.png" decoding="async" width="31" height="28" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/09/P_space.svg/47px-P_space.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/09/P_space.svg/62px-P_space.svg.png 2x" data-file-width="400" data-file-height="360" /></a></span></span><span class="bandeau-portail-texte"><a href="/wiki/%D8%AF%DB%95%D8%B1%D9%88%D8%A7%D8%B2%DB%95:%DA%AF%DB%95%D8%B1%D8%AF%D9%88%D9%88%D9%86" 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