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href="/w/index.php?title=%D0%9A%D1%8A%D1%83%D0%BB%D0%BB%D1%83%D0%BA%D1%8A:%D0%A2%D0%B5%D1%80%D0%B3%D0%B5%D1%83_%D0%B4%D0%B6%D0%B0%D0%B7%D1%8B%D1%83%D0%BD%D1%83_%D0%BA%D1%8A%D1%83%D1%80%D0%B0&returnto=%D0%9C%D0%B0%D0%B9%D0%B4%D0%B0%D0%BD%D0%BB%D1%8B%D0%BA%D1%8A" title="Ажымсыз керек болмагъанлыкъгъа, тергеу джазыу (аккаунт) къураб системагъа кирирге теджейбиз."><span class="vector-icon mw-ui-icon-userAdd mw-ui-icon-wikimedia-userAdd"></span> <span>Хыйсаб къура</span></a></li><li id="pt-login" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=%D0%9A%D1%8A%D1%83%D0%BB%D0%BB%D1%83%D0%BA%D1%8A:%D0%92%D1%85%D0%BE%D0%B4&returnto=%D0%9C%D0%B0%D0%B9%D0%B4%D0%B0%D0%BD%D0%BB%D1%8B%D0%BA%D1%8A" title="Былайда системада регистрация этерге боллукъду, алай а ол ажымсыз керекли тюйюлдю [o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>Кир</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"> Чыгъыу этген редакторла ючюн бетле <a href="/wiki/%D0%91%D0%BE%D0%BB%D1%83%D1%88%D0%BB%D1%83%D0%BA%D1%8A:%D0%9A%D0%B8%D1%80%D0%B8%D1%83" aria-label="Тюзетиуню юсюнден аслам юрен"><span>аслам бил</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/%D0%9A%D1%8A%D1%83%D0%BB%D0%BB%D1%83%D0%BA%D1%8A:%D0%9C%D0%B5%D0%BD%D0%B8_%D0%BA%D1%8A%D0%BE%D1%88%D1%83%D0%BC%D1%83%D0%BC" title="Бу IP-адреден этилген тюзетиулени тизмеси [y]" accesskey="y"><span>Къошумла</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/%D0%9A%D1%8A%D1%83%D0%BB%D0%BB%D1%83%D0%BA%D1%8A:%D0%9C%D0%B5%D0%BD%D0%B8_%D1%81%D1%8E%D0%B7%D1%8E%D1%83%D1%8E%D0%BC" title="Бу IP-адресден этилген тюрлендириулени сюзюу бет [n]" accesskey="n"><span>Сюзюу</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="Сайт"> <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="Ичиндегиле" 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">Ичиндегиле</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">къабыргъа панелге ташы</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">джашыр</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">Башланыу</div> </a> </li> <li id="toc-Майданлыкъ_ангыламны_белгилеую" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Майданлыкъ_ангыламны_белгилеую"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Майданлыкъ ангыламны белгилеую</span> </div> </a> <button aria-controls="toc-Майданлыкъ_ангыламны_белгилеую-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>Майданлыкъ ангыламны белгилеую тюб бёлюмню ач/джаб</span> </button> <ul id="toc-Майданлыкъ_ангыламны_белгилеую-sublist" class="vector-toc-list"> <li id="toc-Энчиликлери" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Энчиликлери"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.1</span> <span>Энчиликлери</span> </div> </a> <ul id="toc-Энчиликлери-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Квадратланнган_фигурала" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Квадратланнган_фигурала"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.2</span> <span>Квадратланнган фигурала</span> </div> </a> <ul id="toc-Квадратланнган_фигурала-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Майданлыкъны_белгилеуню_ортакъ_амалы" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Майданлыкъны_белгилеуню_ортакъ_амалы"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Майданлыкъны белгилеуню ортакъ амалы</span> </div> </a> <button aria-controls="toc-Майданлыкъны_белгилеуню_ортакъ_амалы-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>Майданлыкъны белгилеуню ортакъ амалы тюб бёлюмню ач/джаб</span> </button> <ul id="toc-Майданлыкъны_белгилеуню_ортакъ_амалы-sublist" class="vector-toc-list"> <li id="toc-Джассы_фигураны_майданлыгъы" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Джассы_фигураны_майданлыгъы"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.1</span> <span>Джассы фигураны майданлыгъы</span> </div> </a> <ul id="toc-Джассы_фигураны_майданлыгъы-sublist" class="vector-toc-list"> <li id="toc-Декартны_координатлары" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Декартны_координатлары"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.1.1</span> <span>Декартны координатлары</span> </div> </a> <ul id="toc-Декартны_координатлары-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Полюс_координатла" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Полюс_координатла"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.1.2</span> <span>Полюс координатла</span> </div> </a> <ul id="toc-Полюс_координатла-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Параметрлик_форма" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Параметрлик_форма"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.1.3</span> <span>Параметрлик форма</span> </div> </a> <ul id="toc-Параметрлик_форма-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Юсню_майданлыгъы" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Юсню_майданлыгъы"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.2</span> <span>Юсню майданлыгъы</span> </div> </a> <ul id="toc-Юсню_майданлыгъы-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Майданланы_теориясы" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Майданланы_теориясы"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.3</span> <span>Майданланы теориясы</span> </div> </a> <ul id="toc-Майданланы_теориясы-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Майданлыкъны_ёлчелеу_биримлери" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Майданлыкъны_ёлчелеу_биримлери"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Майданлыкъны ёлчелеу биримлери</span> </div> </a> <button aria-controls="toc-Майданлыкъны_ёлчелеу_биримлери-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>Майданлыкъны ёлчелеу биримлери тюб бёлюмню ач/джаб</span> </button> <ul id="toc-Майданлыкъны_ёлчелеу_биримлери-sublist" class="vector-toc-list"> <li id="toc-Метрлик_биримле" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Метрлик_биримле"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.1</span> <span>Метрлик биримле</span> </div> </a> <ul id="toc-Метрлик_биримле-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Антик_биримле" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Антик_биримле"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.2</span> <span>Антик биримле</span> </div> </a> <ul id="toc-Антик_биримле-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Башхала" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Башхала"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.3</span> <span>Башхала</span> </div> </a> <ul id="toc-Башхала-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Бош_фигураланы_майданлыкъларын_тергеу_формулалары" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Бош_фигураланы_майданлыкъларын_тергеу_формулалары"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Бош фигураланы майданлыкъларын тергеу формулалары</span> </div> </a> <button aria-controls="toc-Бош_фигураланы_майданлыкъларын_тергеу_формулалары-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>Бош фигураланы майданлыкъларын тергеу формулалары тюб бёлюмню ач/джаб</span> </button> <ul id="toc-Бош_фигураланы_майданлыкъларын_тергеу_формулалары-sublist" class="vector-toc-list"> <li id="toc-Кёбмюйюшле" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Кёбмюйюшле"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.1</span> <span>Кёбмюйюшле</span> </div> </a> <ul id="toc-Кёбмюйюшле-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Тогъайны,_аны_кесеклерини,_ичи_бла_эмда_тышы_бла_тартылгъан_фигураланы_майданлыкълары" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Тогъайны,_аны_кесеклерини,_ичи_бла_эмда_тышы_бла_тартылгъан_фигураланы_майданлыкълары"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.2</span> <span>Тогъайны, аны кесеклерини, ичи бла эмда тышы бла тартылгъан фигураланы майданлыкълары</span> </div> </a> <ul id="toc-Тогъайны,_аны_кесеклерини,_ичи_бла_эмда_тышы_бла_тартылгъан_фигураланы_майданлыкълары-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Затланы_аламда_юслерини_майданлыкълары" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Затланы_аламда_юслерини_майданлыкълары"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.3</span> <span>Затланы аламда юслерини майданлыкълары</span> </div> </a> <ul id="toc-Затланы_аламда_юслерини_майданлыкълары-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Белгиле" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Белгиле"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Белгиле</span> </div> </a> <ul id="toc-Белгиле-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Литература" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Литература"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>Литература</span> </div> </a> <ul id="toc-Литература-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="Ичиндегиле" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" title="Ичиндегилени Таблицасы" > <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="Ичиндегисини таблицасын ач/джаб" > <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">Ичиндегисини таблицасын ач/джаб</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">Майданлыкъ</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="Башха тилдеги статьягъа бар. 165 тилде барды" > <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-165" 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">165 тил</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/Oppervlakte" title="Oppervlakte – африкаанс" lang="af" hreflang="af" data-title="Oppervlakte" data-language-autonym="Afrikaans" data-language-local-name="африкаанс" 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/Fl%C3%A4cheninhalt" title="Flächeninhalt – швейцарский немецкий" lang="gsw" hreflang="gsw" data-title="Flächeninhalt" data-language-autonym="Alemannisch" data-language-local-name="швейцарский немецкий" class="interlanguage-link-target"><span>Alemannisch</span></a></li><li class="interlanguage-link interwiki-an mw-list-item"><a href="https://an.wikipedia.org/wiki/Aria" title="Aria – арагонский" lang="an" hreflang="an" data-title="Aria" data-language-autonym="Aragonés" data-language-local-name="арагонский" class="interlanguage-link-target"><span>Aragonés</span></a></li><li class="interlanguage-link interwiki-anp mw-list-item"><a href="https://anp.wikipedia.org/wiki/%E0%A4%95%E0%A5%8D%E0%A4%B7%E0%A5%87%E0%A4%A4%E0%A5%8D%E0%A4%B0%E0%A4%AB%E0%A4%B2" title="क्षेत्रफल – ангика" lang="anp" hreflang="anp" data-title="क्षेत्रफल" data-language-autonym="अंगिका" data-language-local-name="ангика" class="interlanguage-link-target"><span>अंगिका</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D9%85%D8%B3%D8%A7%D8%AD%D8%A9" title="مساحة – арабский" lang="ar" hreflang="ar" data-title="مساحة" data-language-autonym="العربية" data-language-local-name="арабский" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-arc mw-list-item"><a href="https://arc.wikipedia.org/wiki/%DC%AB%DC%9B%DC%9D%DC%9A%DC%98%DC%AC%DC%90" title="ܫܛܝܚܘܬܐ – арамейский" lang="arc" hreflang="arc" data-title="ܫܛܝܚܘܬܐ" data-language-autonym="ܐܪܡܝܐ" data-language-local-name="арамейский" class="interlanguage-link-target"><span>ܐܪܡܝܐ</span></a></li><li class="interlanguage-link interwiki-ary mw-list-item"><a href="https://ary.wikipedia.org/wiki/%D8%AA%D9%8A%D8%B3%D8%A7%D8%B9" title="تيساع – Moroccan Arabic" lang="ary" hreflang="ary" data-title="تيساع" data-language-autonym="الدارجة" data-language-local-name="Moroccan Arabic" class="interlanguage-link-target"><span>الدارجة</span></a></li><li class="interlanguage-link interwiki-arz mw-list-item"><a href="https://arz.wikipedia.org/wiki/%D9%85%D8%B3%D8%A7%D8%AD%D9%87" title="مساحه – Egyptian Arabic" lang="arz" hreflang="arz" data-title="مساحه" data-language-autonym="مصرى" data-language-local-name="Egyptian Arabic" class="interlanguage-link-target"><span>مصرى</span></a></li><li class="interlanguage-link interwiki-as mw-list-item"><a href="https://as.wikipedia.org/wiki/%E0%A6%95%E0%A7%8D%E0%A6%B7%E0%A7%87%E0%A6%A4%E0%A7%8D%E0%A7%B0%E0%A6%AB%E0%A6%B2" title="ক্ষেত্ৰফল – ассамский" lang="as" hreflang="as" data-title="ক্ষেত্ৰফল" data-language-autonym="অসমীয়া" data-language-local-name="ассамский" class="interlanguage-link-target"><span>অসমীয়া</span></a></li><li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://ast.wikipedia.org/wiki/%C3%81rea_(xeometr%C3%ADa)" title="Área (xeometría) – астурийский" lang="ast" hreflang="ast" data-title="Área (xeometría)" data-language-autonym="Asturianu" data-language-local-name="астурийский" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-av mw-list-item"><a href="https://av.wikipedia.org/wiki/%D0%9F%D0%BB%D0%BE%D1%89%D0%B0%D0%B4%D1%8C" title="Площадь – аварский" lang="av" hreflang="av" data-title="Площадь" data-language-autonym="Авар" data-language-local-name="аварский" class="interlanguage-link-target"><span>Авар</span></a></li><li class="interlanguage-link interwiki-awa mw-list-item"><a href="https://awa.wikipedia.org/wiki/%E0%A4%95%E0%A5%8D%E0%A4%B7%E0%A5%87%E0%A4%A4%E0%A5%8D%E0%A4%B0%E0%A4%AB%E0%A4%B2" title="क्षेत्रफल – авадхи" lang="awa" hreflang="awa" data-title="क्षेत्रफल" data-language-autonym="अवधी" data-language-local-name="авадхи" class="interlanguage-link-target"><span>अवधी</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/Sah%C9%99_(%C3%B6l%C3%A7%C3%BC_parametri)" title="Sahə (ölçü parametri) – азербайджанский" lang="az" hreflang="az" data-title="Sahə (ölçü parametri)" data-language-autonym="Azərbaycanca" data-language-local-name="азербайджанский" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-azb mw-list-item"><a href="https://azb.wikipedia.org/wiki/%D9%85%D8%B3%D8%A7%D8%AD%D8%AA" title="مساحت – South Azerbaijani" lang="azb" hreflang="azb" data-title="مساحت" data-language-autonym="تۆرکجه" data-language-local-name="South Azerbaijani" class="interlanguage-link-target"><span>تۆرکجه</span></a></li><li class="interlanguage-link interwiki-ba mw-list-item"><a href="https://ba.wikipedia.org/wiki/%D0%9C%D0%B0%D0%B9%D2%99%D0%B0%D0%BD" title="Майҙан – башкирский" lang="ba" hreflang="ba" data-title="Майҙан" data-language-autonym="Башҡортса" data-language-local-name="башкирский" 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/Fl%C3%A4chn" title="Flächn – Bavarian" lang="bar" hreflang="bar" data-title="Flächn" data-language-autonym="Boarisch" data-language-local-name="Bavarian" class="interlanguage-link-target"><span>Boarisch</span></a></li><li class="interlanguage-link interwiki-bat-smg mw-list-item"><a href="https://bat-smg.wikipedia.org/wiki/Pluots" title="Pluots – Samogitian" lang="sgs" hreflang="sgs" data-title="Pluots" data-language-autonym="Žemaitėška" data-language-local-name="Samogitian" class="interlanguage-link-target"><span>Žemaitėška</span></a></li><li class="interlanguage-link interwiki-bcl mw-list-item"><a href="https://bcl.wikipedia.org/wiki/Hiwas" title="Hiwas – Central Bikol" lang="bcl" hreflang="bcl" data-title="Hiwas" data-language-autonym="Bikol Central" data-language-local-name="Central Bikol" class="interlanguage-link-target"><span>Bikol Central</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%9F%D0%BB%D0%BE%D1%88%D1%87%D0%B0" title="Плошча – белорусский" lang="be" hreflang="be" data-title="Плошча" data-language-autonym="Беларуская" data-language-local-name="белорусский" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-be-x-old mw-list-item"><a href="https://be-tarask.wikipedia.org/wiki/%D0%9F%D0%BB%D0%BE%D1%88%D1%87%D0%B0" title="Плошча – белорусский (тарашкевица)" lang="be-tarask" hreflang="be-tarask" data-title="Плошча" data-language-autonym="Беларуская (тарашкевіца)" data-language-local-name="белорусский (тарашкевица)" class="interlanguage-link-target"><span>Беларуская (тарашкевіца)</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%9F%D0%BB%D0%BE%D1%89" title="Площ – болгарский" lang="bg" hreflang="bg" data-title="Площ" data-language-autonym="Български" data-language-local-name="болгарский" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bh mw-list-item"><a href="https://bh.wikipedia.org/wiki/%E0%A4%95%E0%A5%8D%E0%A4%B7%E0%A5%87%E0%A4%A4%E0%A5%8D%E0%A4%B0%E0%A4%AB%E0%A4%B2" title="क्षेत्रफल – Bhojpuri" lang="bh" hreflang="bh" data-title="क्षेत्रफल" data-language-autonym="भोजपुरी" data-language-local-name="Bhojpuri" class="interlanguage-link-target"><span>भोजपुरी</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%95%E0%A7%8D%E0%A6%B7%E0%A7%87%E0%A6%A4%E0%A7%8D%E0%A6%B0%E0%A6%AB%E0%A6%B2" title="ক্ষেত্রফল – бенгальский" lang="bn" hreflang="bn" data-title="ক্ষেত্রফল" data-language-autonym="বাংলা" data-language-local-name="бенгальский" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-br mw-list-item"><a href="https://br.wikipedia.org/wiki/Gorread" title="Gorread – бретонский" lang="br" hreflang="br" data-title="Gorread" data-language-autonym="Brezhoneg" data-language-local-name="бретонский" class="interlanguage-link-target"><span>Brezhoneg</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Povr%C5%A1ina" title="Površina – боснийский" lang="bs" hreflang="bs" data-title="Površina" data-language-autonym="Bosanski" data-language-local-name="боснийский" class="interlanguage-link-target"><span>Bosanski</span></a></li><li class="interlanguage-link interwiki-btm mw-list-item"><a href="https://btm.wikipedia.org/wiki/Bolak" title="Bolak – Batak Mandailing" lang="btm" hreflang="btm" data-title="Bolak" data-language-autonym="Batak Mandailing" data-language-local-name="Batak Mandailing" class="interlanguage-link-target"><span>Batak Mandailing</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/%C3%80rea" title="Àrea – каталанский" lang="ca" hreflang="ca" data-title="Àrea" data-language-autonym="Català" data-language-local-name="каталанский" 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/Mi%C3%AAng-c%C3%A9k" title="Miêng-cék – Mindong" lang="cdo" hreflang="cdo" data-title="Miêng-cék" 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-ce mw-list-item"><a href="https://ce.wikipedia.org/wiki/%D0%9C%D0%B0%D0%B9%D0%B4%D0%B0" title="Майда – чеченский" lang="ce" hreflang="ce" data-title="Майда" data-language-autonym="Нохчийн" data-language-local-name="чеченский" class="interlanguage-link-target"><span>Нохчийн</span></a></li><li class="interlanguage-link interwiki-ceb mw-list-item"><a href="https://ceb.wikipedia.org/wiki/Langyab" title="Langyab – себуано" lang="ceb" hreflang="ceb" data-title="Langyab" data-language-autonym="Cebuano" data-language-local-name="себуано" class="interlanguage-link-target"><span>Cebuano</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%DA%95%D9%88%D9%88%D8%A8%DB%95%D8%B1" title="ڕووبەر – центральнокурдский" lang="ckb" hreflang="ckb" data-title="ڕووبەر" data-language-autonym="کوردی" data-language-local-name="центральнокурдский" 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/Obsah" title="Obsah – чешский" lang="cs" hreflang="cs" data-title="Obsah" data-language-autonym="Čeština" data-language-local-name="чешский" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-cu mw-list-item"><a href="https://cu.wikipedia.org/wiki/%D0%9F%D1%80%D0%BE%D1%81%D1%82%D1%80%D0%B0%D0%BD%D0%B8%D1%A5" title="Пространиѥ – церковнославянский" lang="cu" hreflang="cu" data-title="Пространиѥ" data-language-autonym="Словѣньскъ / ⰔⰎⰑⰂⰡⰐⰠⰔⰍⰟ" data-language-local-name="церковнославянский" class="interlanguage-link-target"><span>Словѣньскъ / ⰔⰎⰑⰂⰡⰐⰠⰔⰍⰟ</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%9B%D0%B0%D0%BF%D1%82%C4%83%D0%BA" title="Лаптăк – чувашский" lang="cv" hreflang="cv" data-title="Лаптăк" data-language-autonym="Чӑвашла" data-language-local-name="чувашский" 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/Arwynebedd" title="Arwynebedd – валлийский" lang="cy" hreflang="cy" data-title="Arwynebedd" data-language-autonym="Cymraeg" data-language-local-name="валлийский" 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/Areal" title="Areal – датский" lang="da" hreflang="da" data-title="Areal" data-language-autonym="Dansk" data-language-local-name="датский" 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/Fl%C3%A4cheninhalt" title="Flächeninhalt – немецкий" lang="de" hreflang="de" data-title="Flächeninhalt" data-language-autonym="Deutsch" data-language-local-name="немецкий" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-diq mw-list-item"><a href="https://diq.wikipedia.org/wiki/Erd" title="Erd – Dimli" lang="diq" hreflang="diq" data-title="Erd" data-language-autonym="Zazaki" data-language-local-name="Dimli" class="interlanguage-link-target"><span>Zazaki</span></a></li><li class="interlanguage-link interwiki-dsb mw-list-item"><a href="https://dsb.wikipedia.org/wiki/Wop%C5%9Bimje%C5%9Be_p%C5%82oni" title="Wopśimjeśe płoni – нижнелужицкий" lang="dsb" hreflang="dsb" data-title="Wopśimjeśe płoni" data-language-autonym="Dolnoserbski" data-language-local-name="нижнелужицкий" class="interlanguage-link-target"><span>Dolnoserbski</span></a></li><li class="interlanguage-link interwiki-dv mw-list-item"><a href="https://dv.wikipedia.org/wiki/%DE%87%DE%A6%DE%86%DE%A6%DE%89%DE%A8%DE%82%DE%B0" title="އަކަމިން – мальдивский" lang="dv" hreflang="dv" data-title="އަކަމިން" data-language-autonym="ދިވެހިބަސް" data-language-local-name="мальдивский" class="interlanguage-link-target"><span>ދިވެހިބަސް</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%95%CE%BC%CE%B2%CE%B1%CE%B4%CF%8C%CE%BD" title="Εμβαδόν – греческий" lang="el" hreflang="el" data-title="Εμβαδόν" data-language-autonym="Ελληνικά" data-language-local-name="греческий" 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/Area" title="Area – английский" lang="en" hreflang="en" data-title="Area" data-language-autonym="English" data-language-local-name="английский" 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/Areo" title="Areo – эсперанто" lang="eo" hreflang="eo" data-title="Areo" data-language-autonym="Esperanto" data-language-local-name="эсперанто" 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/%C3%81rea" title="Área – испанский" lang="es" hreflang="es" data-title="Área" data-language-autonym="Español" data-language-local-name="испанский" 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/Pindala" title="Pindala – эстонский" lang="et" hreflang="et" data-title="Pindala" data-language-autonym="Eesti" data-language-local-name="эстонский" 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/Azalera" title="Azalera – баскский" lang="eu" hreflang="eu" data-title="Azalera" data-language-autonym="Euskara" data-language-local-name="баскский" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D9%85%D8%B3%D8%A7%D8%AD%D8%AA" title="مساحت – персидский" lang="fa" hreflang="fa" data-title="مساحت" data-language-autonym="فارسی" data-language-local-name="персидский" 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/Pinta-ala" title="Pinta-ala – финский" lang="fi" hreflang="fi" data-title="Pinta-ala" data-language-autonym="Suomi" data-language-local-name="финский" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fiu-vro mw-list-item"><a href="https://fiu-vro.wikipedia.org/wiki/Pindala" title="Pindala – выруский" lang="vro" hreflang="vro" data-title="Pindala" data-language-autonym="Võro" data-language-local-name="выруский" class="interlanguage-link-target"><span>Võro</span></a></li><li class="interlanguage-link interwiki-fj mw-list-item"><a href="https://fj.wikipedia.org/wiki/Iwasewase" title="Iwasewase – фиджи" lang="fj" hreflang="fj" data-title="Iwasewase" data-language-autonym="Na Vosa Vakaviti" data-language-local-name="фиджи" class="interlanguage-link-target"><span>Na Vosa Vakaviti</span></a></li><li class="interlanguage-link interwiki-fo mw-list-item"><a href="https://fo.wikipedia.org/wiki/V%C3%ADdd" title="Vídd – фарерский" lang="fo" hreflang="fo" data-title="Vídd" data-language-autonym="Føroyskt" data-language-local-name="фарерский" class="interlanguage-link-target"><span>Føroyskt</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Aire_(g%C3%A9om%C3%A9trie)" title="Aire (géométrie) – французский" lang="fr" hreflang="fr" data-title="Aire (géométrie)" data-language-autonym="Français" data-language-local-name="французский" 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/Areaal_(Miat)" title="Areaal (Miat) – северный фризский" lang="frr" hreflang="frr" data-title="Areaal (Miat)" data-language-autonym="Nordfriisk" data-language-local-name="северный фризский" class="interlanguage-link-target"><span>Nordfriisk</span></a></li><li class="interlanguage-link interwiki-fy mw-list-item"><a href="https://fy.wikipedia.org/wiki/Oerflak" title="Oerflak – западнофризский" lang="fy" hreflang="fy" data-title="Oerflak" data-language-autonym="Frysk" data-language-local-name="западнофризский" class="interlanguage-link-target"><span>Frysk</span></a></li><li class="interlanguage-link interwiki-gan mw-list-item"><a href="https://gan.wikipedia.org/wiki/%E9%9D%A2%E7%A9%8D" title="面積 – гань" lang="gan" hreflang="gan" data-title="面積" data-language-autonym="贛語" data-language-local-name="гань" class="interlanguage-link-target"><span>贛語</span></a></li><li class="interlanguage-link interwiki-gd mw-list-item"><a href="https://gd.wikipedia.org/wiki/Farsaingeachd" title="Farsaingeachd – гэльский" lang="gd" hreflang="gd" data-title="Farsaingeachd" data-language-autonym="Gàidhlig" data-language-local-name="гэльский" class="interlanguage-link-target"><span>Gàidhlig</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/%C3%81rea" title="Área – галисийский" lang="gl" hreflang="gl" data-title="Área" data-language-autonym="Galego" data-language-local-name="галисийский" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-gn mw-list-item"><a href="https://gn.wikipedia.org/wiki/Tendaha" title="Tendaha – гуарани" lang="gn" hreflang="gn" data-title="Tendaha" data-language-autonym="Avañe'ẽ" data-language-local-name="гуарани" class="interlanguage-link-target"><span>Avañe'ẽ</span></a></li><li class="interlanguage-link interwiki-gu mw-list-item"><a href="https://gu.wikipedia.org/wiki/%E0%AA%95%E0%AB%8D%E0%AA%B7%E0%AB%87%E0%AA%A4%E0%AB%8D%E0%AA%B0%E0%AA%AB%E0%AA%B3" title="ક્ષેત્રફળ – гуджарати" lang="gu" hreflang="gu" data-title="ક્ષેત્રફળ" data-language-autonym="ગુજરાતી" data-language-local-name="гуджарати" class="interlanguage-link-target"><span>ગુજરાતી</span></a></li><li class="interlanguage-link interwiki-gv mw-list-item"><a href="https://gv.wikipedia.org/wiki/Eaghtyr" title="Eaghtyr – мэнский" lang="gv" hreflang="gv" data-title="Eaghtyr" data-language-autonym="Gaelg" data-language-local-name="мэнский" class="interlanguage-link-target"><span>Gaelg</span></a></li><li class="interlanguage-link interwiki-hak mw-list-item"><a href="https://hak.wikipedia.org/wiki/Mien-chit" title="Mien-chit – хакка" lang="hak" hreflang="hak" data-title="Mien-chit" data-language-autonym="客家語 / Hak-kâ-ngî" data-language-local-name="хакка" class="interlanguage-link-target"><span>客家語 / Hak-kâ-ngî</span></a></li><li class="interlanguage-link interwiki-haw mw-list-item"><a href="https://haw.wikipedia.org/wiki/%CA%BBAlea" title="ʻAlea – гавайский" lang="haw" hreflang="haw" data-title="ʻAlea" data-language-autonym="Hawaiʻi" data-language-local-name="гавайский" class="interlanguage-link-target"><span>Hawaiʻi</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%A9%D7%98%D7%97" title="שטח – иврит" lang="he" hreflang="he" data-title="שטח" data-language-autonym="עברית" data-language-local-name="иврит" 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%95%E0%A5%8D%E0%A4%B7%E0%A5%87%E0%A4%A4%E0%A5%8D%E0%A4%B0%E0%A4%AB%E0%A4%B2" title="क्षेत्रफल – хинди" lang="hi" hreflang="hi" data-title="क्षेत्रफल" data-language-autonym="हिन्दी" data-language-local-name="хинди" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hif mw-list-item"><a href="https://hif.wikipedia.org/wiki/Area" title="Area – Fiji Hindi" lang="hif" hreflang="hif" data-title="Area" data-language-autonym="Fiji Hindi" data-language-local-name="Fiji Hindi" class="interlanguage-link-target"><span>Fiji Hindi</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Povr%C5%A1ina" title="Površina – хорватский" lang="hr" hreflang="hr" data-title="Površina" data-language-autonym="Hrvatski" data-language-local-name="хорватский" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-hsb mw-list-item"><a href="https://hsb.wikipedia.org/wiki/Wobsah_p%C5%99estrjenje" title="Wobsah přestrjenje – верхнелужицкий" lang="hsb" hreflang="hsb" data-title="Wobsah přestrjenje" data-language-autonym="Hornjoserbsce" data-language-local-name="верхнелужицкий" class="interlanguage-link-target"><span>Hornjoserbsce</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Ter%C3%BClet_(matematika)" title="Terület (matematika) – венгерский" lang="hu" hreflang="hu" data-title="Terület (matematika)" data-language-autonym="Magyar" data-language-local-name="венгерский" 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%84%D5%A1%D5%AF%D5%A5%D6%80%D5%A5%D5%BD" title="Մակերես – армянский" lang="hy" hreflang="hy" data-title="Մակերես" data-language-autonym="Հայերեն" data-language-local-name="армянский" 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/Area" title="Area – интерлингва" lang="ia" hreflang="ia" data-title="Area" data-language-autonym="Interlingua" data-language-local-name="интерлингва" class="interlanguage-link-target"><span>Interlingua</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Luas" title="Luas – индонезийский" lang="id" hreflang="id" data-title="Luas" data-language-autonym="Bahasa Indonesia" data-language-local-name="индонезийский" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-ilo mw-list-item"><a href="https://ilo.wikipedia.org/wiki/Kalawa" title="Kalawa – илоко" lang="ilo" hreflang="ilo" data-title="Kalawa" data-language-autonym="Ilokano" data-language-local-name="илоко" class="interlanguage-link-target"><span>Ilokano</span></a></li><li class="interlanguage-link interwiki-io mw-list-item"><a href="https://io.wikipedia.org/wiki/Areo" title="Areo – идо" lang="io" hreflang="io" data-title="Areo" data-language-autonym="Ido" data-language-local-name="идо" 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/Flatarm%C3%A1l" title="Flatarmál – исландский" lang="is" hreflang="is" data-title="Flatarmál" data-language-autonym="Íslenska" data-language-local-name="исландский" 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/Area" title="Area – итальянский" lang="it" hreflang="it" data-title="Area" data-language-autonym="Italiano" data-language-local-name="итальянский" 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/%E9%9D%A2%E7%A9%8D" title="面積 – японский" lang="ja" hreflang="ja" data-title="面積" data-language-autonym="日本語" data-language-local-name="японский" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-jam mw-list-item"><a href="https://jam.wikipedia.org/wiki/Ieria" title="Ieria – Jamaican Creole English" lang="jam" hreflang="jam" data-title="Ieria" data-language-autonym="Patois" data-language-local-name="Jamaican Creole English" class="interlanguage-link-target"><span>Patois</span></a></li><li class="interlanguage-link interwiki-jv mw-list-item"><a href="https://jv.wikipedia.org/wiki/Jembar" title="Jembar – яванский" lang="jv" hreflang="jv" data-title="Jembar" data-language-autonym="Jawa" data-language-local-name="яванский" 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%A4%E1%83%90%E1%83%A0%E1%83%97%E1%83%9D%E1%83%91%E1%83%98" title="ფართობი – грузинский" lang="ka" hreflang="ka" data-title="ფართობი" data-language-autonym="ქართული" data-language-local-name="грузинский" 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/Tajumma" title="Tajumma – кабильский" lang="kab" hreflang="kab" data-title="Tajumma" data-language-autonym="Taqbaylit" data-language-local-name="кабильский" class="interlanguage-link-target"><span>Taqbaylit</span></a></li><li class="interlanguage-link interwiki-kbd mw-list-item"><a href="https://kbd.wikipedia.org/wiki/%D0%A9%D3%80%D1%8B%D0%BF%D3%80%D1%8D_%D0%B8%D0%BD%D0%B0%D0%B3%D1%8A" title="ЩӀыпӀэ инагъ – кабардинский" lang="kbd" hreflang="kbd" data-title="ЩӀыпӀэ инагъ" data-language-autonym="Адыгэбзэ" data-language-local-name="кабардинский" class="interlanguage-link-target"><span>Адыгэбзэ</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%90%D1%83%D0%B4%D0%B0%D0%BD_(%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%8F)" title="Аудан (геометрия) – казахский" lang="kk" hreflang="kk" data-title="Аудан (геометрия)" data-language-autonym="Қазақша" data-language-local-name="казахский" 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%80%E1%9F%92%E1%9E%9A%E1%9E%9B%E1%9E%B6%E1%9E%95%E1%9F%92%E1%9E%91%E1%9F%83" title="ក្រលាផ្ទៃ – кхмерский" lang="km" hreflang="km" data-title="ក្រលាផ្ទៃ" data-language-autonym="ភាសាខ្មែរ" data-language-local-name="кхмерский" class="interlanguage-link-target"><span>ភាសាខ្មែរ</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EB%84%93%EC%9D%B4" title="넓이 – корейский" lang="ko" hreflang="ko" data-title="넓이" data-language-autonym="한국어" data-language-local-name="корейский" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-ku mw-list-item"><a href="https://ku.wikipedia.org/wiki/R%C3%BBerd" title="Rûerd – курдский" lang="ku" hreflang="ku" data-title="Rûerd" data-language-autonym="Kurdî" data-language-local-name="курдский" class="interlanguage-link-target"><span>Kurdî</span></a></li><li class="interlanguage-link interwiki-kw mw-list-item"><a href="https://kw.wikipedia.org/wiki/Enep_(fysegieth)" title="Enep (fysegieth) – корнский" lang="kw" hreflang="kw" data-title="Enep (fysegieth)" data-language-autonym="Kernowek" data-language-local-name="корнский" class="interlanguage-link-target"><span>Kernowek</span></a></li><li class="interlanguage-link interwiki-ky mw-list-item"><a href="https://ky.wikipedia.org/wiki/%D0%90%D1%8F%D0%BD%D1%82" title="Аянт – киргизский" lang="ky" hreflang="ky" data-title="Аянт" data-language-autonym="Кыргызча" data-language-local-name="киргизский" 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/Area_(geometria)" title="Area (geometria) – латинский" lang="la" hreflang="la" data-title="Area (geometria)" data-language-autonym="Latina" data-language-local-name="латинский" 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/Fl%C3%A4ch" title="Fläch – люксембургский" lang="lb" hreflang="lb" data-title="Fläch" data-language-autonym="Lëtzebuergesch" data-language-local-name="люксембургский" class="interlanguage-link-target"><span>Lëtzebuergesch</span></a></li><li class="interlanguage-link interwiki-li mw-list-item"><a href="https://li.wikipedia.org/wiki/Oppervlak" title="Oppervlak – лимбургский" lang="li" hreflang="li" data-title="Oppervlak" data-language-autonym="Limburgs" data-language-local-name="лимбургский" class="interlanguage-link-target"><span>Limburgs</span></a></li><li class="interlanguage-link interwiki-lij mw-list-item"><a href="https://lij.wikipedia.org/wiki/Area" title="Area – лигурский" lang="lij" hreflang="lij" data-title="Area" data-language-autonym="Ligure" data-language-local-name="лигурский" class="interlanguage-link-target"><span>Ligure</span></a></li><li class="interlanguage-link interwiki-lmo mw-list-item"><a href="https://lmo.wikipedia.org/wiki/Area" title="Area – ломбардский" lang="lmo" hreflang="lmo" data-title="Area" data-language-autonym="Lombard" data-language-local-name="ломбардский" class="interlanguage-link-target"><span>Lombard</span></a></li><li class="interlanguage-link interwiki-ln mw-list-item"><a href="https://ln.wikipedia.org/wiki/Etando" title="Etando – лингала" lang="ln" hreflang="ln" data-title="Etando" data-language-autonym="Lingála" data-language-local-name="лингала" class="interlanguage-link-target"><span>Lingála</span></a></li><li class="interlanguage-link interwiki-lo mw-list-item"><a href="https://lo.wikipedia.org/wiki/%E0%BB%80%E0%BA%99%E0%BA%B7%E0%BB%89%E0%BA%AD%E0%BA%97%E0%BA%B5%E0%BB%88" title="ເນື້ອທີ່ – лаосский" lang="lo" hreflang="lo" data-title="ເນື້ອທີ່" data-language-autonym="ລາວ" data-language-local-name="лаосский" class="interlanguage-link-target"><span>ລາວ</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Plotas" title="Plotas – литовский" lang="lt" hreflang="lt" data-title="Plotas" data-language-autonym="Lietuvių" data-language-local-name="литовский" 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/Laukums" title="Laukums – латышский" lang="lv" hreflang="lv" data-title="Laukums" data-language-autonym="Latviešu" data-language-local-name="латышский" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-mai mw-list-item"><a href="https://mai.wikipedia.org/wiki/%E0%A4%95%E0%A5%8D%E0%A4%B7%E0%A5%87%E0%A4%A4%E0%A5%8D%E0%A4%B0%E0%A4%AB%E0%A4%B2" title="क्षेत्रफल – майтхили" lang="mai" hreflang="mai" data-title="क्षेत्रफल" data-language-autonym="मैथिली" data-language-local-name="майтхили" class="interlanguage-link-target"><span>मैथिली</span></a></li><li class="interlanguage-link interwiki-mg mw-list-item"><a href="https://mg.wikipedia.org/wiki/Velarantany" title="Velarantany – малагасийский" lang="mg" hreflang="mg" data-title="Velarantany" data-language-autonym="Malagasy" data-language-local-name="малагасийский" class="interlanguage-link-target"><span>Malagasy</span></a></li><li class="interlanguage-link interwiki-mhr mw-list-item"><a href="https://mhr.wikipedia.org/wiki/%D0%9A%D1%83%D0%BC%D0%B4%D1%8B%D0%BA" title="Кумдык – луговомарийский" lang="mhr" hreflang="mhr" data-title="Кумдык" data-language-autonym="Олык марий" data-language-local-name="луговомарийский" class="interlanguage-link-target"><span>Олык марий</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%9F%D0%BB%D0%BE%D1%88%D1%82%D0%B8%D0%BD%D0%B0" title="Плоштина – македонский" lang="mk" hreflang="mk" data-title="Плоштина" data-language-autonym="Македонски" data-language-local-name="македонский" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-ml mw-list-item"><a href="https://ml.wikipedia.org/wiki/%E0%B4%B5%E0%B4%BF%E0%B4%B8%E0%B5%8D%E0%B4%A4%E0%B5%80%E0%B5%BC%E0%B4%A3%E0%B5%8D%E0%B4%A3%E0%B4%82" title="വിസ്തീർണ്ണം – малаялам" lang="ml" hreflang="ml" data-title="വിസ്തീർണ്ണം" data-language-autonym="മലയാളം" data-language-local-name="малаялам" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-mn mw-list-item"><a href="https://mn.wikipedia.org/wiki/%D0%A2%D0%B0%D0%BB%D0%B1%D0%B0%D0%B9" title="Талбай – монгольский" lang="mn" hreflang="mn" data-title="Талбай" data-language-autonym="Монгол" data-language-local-name="монгольский" class="interlanguage-link-target"><span>Монгол</span></a></li><li class="interlanguage-link interwiki-mni mw-list-item"><a href="https://mni.wikipedia.org/wiki/%EA%AF%84%EA%AF%A5%EA%AF%9B%EA%AF%86%EA%AF%A5%EA%AF%8E%EA%AF%95" title="ꯄꯥꯛꯆꯥꯎꯕ – манипурский" lang="mni" hreflang="mni" data-title="ꯄꯥꯛꯆꯥꯎꯕ" data-language-autonym="ꯃꯤꯇꯩ ꯂꯣꯟ" data-language-local-name="манипурский" class="interlanguage-link-target"><span>ꯃꯤꯇꯩ ꯂꯣꯟ</span></a></li><li class="interlanguage-link interwiki-mr mw-list-item"><a href="https://mr.wikipedia.org/wiki/%E0%A4%95%E0%A5%8D%E0%A4%B7%E0%A5%87%E0%A4%A4%E0%A5%8D%E0%A4%B0%E0%A4%AB%E0%A4%B3" title="क्षेत्रफळ – маратхи" lang="mr" hreflang="mr" data-title="क्षेत्रफळ" data-language-autonym="मराठी" data-language-local-name="маратхи" 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/Luas" title="Luas – малайский" lang="ms" hreflang="ms" data-title="Luas" data-language-autonym="Bahasa Melayu" data-language-local-name="малайский" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-mwl mw-list-item"><a href="https://mwl.wikipedia.org/wiki/%C3%81ria" title="Ária – мирандский" lang="mwl" hreflang="mwl" data-title="Ária" data-language-autonym="Mirandés" data-language-local-name="мирандский" class="interlanguage-link-target"><span>Mirandés</span></a></li><li class="interlanguage-link interwiki-my mw-list-item"><a href="https://my.wikipedia.org/wiki/%E1%80%A7%E1%80%9B%E1%80%AD%E1%80%9A%E1%80%AC" title="ဧရိယာ – бирманский" lang="my" hreflang="my" data-title="ဧရိယာ" data-language-autonym="မြန်မာဘာသာ" data-language-local-name="бирманский" class="interlanguage-link-target"><span>မြန်မာဘာသာ</span></a></li><li class="interlanguage-link interwiki-mzn mw-list-item"><a href="https://mzn.wikipedia.org/wiki/%DA%AF%D8%AA%DB%8C" title="گتی – мазандеранский" lang="mzn" hreflang="mzn" data-title="گتی" data-language-autonym="مازِرونی" data-language-local-name="мазандеранский" class="interlanguage-link-target"><span>مازِرونی</span></a></li><li class="interlanguage-link interwiki-nds mw-list-item"><a href="https://nds.wikipedia.org/wiki/Flach" title="Flach – нижненемецкий" lang="nds" hreflang="nds" data-title="Flach" data-language-autonym="Plattdüütsch" data-language-local-name="нижненемецкий" class="interlanguage-link-target"><span>Plattdüütsch</span></a></li><li class="interlanguage-link interwiki-nds-nl mw-list-item"><a href="https://nds-nl.wikipedia.org/wiki/Oppervlakte" title="Oppervlakte – нижнесаксонский" lang="nds-NL" hreflang="nds-NL" data-title="Oppervlakte" data-language-autonym="Nedersaksies" data-language-local-name="нижнесаксонский" class="interlanguage-link-target"><span>Nedersaksies</span></a></li><li class="interlanguage-link interwiki-ne mw-list-item"><a href="https://ne.wikipedia.org/wiki/%E0%A4%95%E0%A5%8D%E0%A4%B7%E0%A5%87%E0%A4%A4%E0%A5%8D%E0%A4%B0%E0%A4%AB%E0%A4%B2" title="क्षेत्रफल – непальский" lang="ne" hreflang="ne" data-title="क्षेत्रफल" data-language-autonym="नेपाली" data-language-local-name="непальский" class="interlanguage-link-target"><span>नेपाली</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Oppervlakte" title="Oppervlakte – нидерландский" lang="nl" hreflang="nl" data-title="Oppervlakte" data-language-autonym="Nederlands" data-language-local-name="нидерландский" 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/Flatevidd" title="Flatevidd – нюнорск" lang="nn" hreflang="nn" data-title="Flatevidd" data-language-autonym="Norsk nynorsk" data-language-local-name="нюнорск" 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/Areal" title="Areal – норвежский букмол" lang="nb" hreflang="nb" data-title="Areal" data-language-autonym="Norsk bokmål" data-language-local-name="норвежский букмол" 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/Aira" title="Aira – окситанский" lang="oc" hreflang="oc" data-title="Aira" data-language-autonym="Occitan" data-language-local-name="окситанский" class="interlanguage-link-target"><span>Occitan</span></a></li><li class="interlanguage-link interwiki-os mw-list-item"><a href="https://os.wikipedia.org/wiki/%D0%A4%C3%A6%D0%B7%D1%83%D0%B0%D1%82" title="Фæзуат – осетинский" lang="os" hreflang="os" data-title="Фæзуат" data-language-autonym="Ирон" data-language-local-name="осетинский" class="interlanguage-link-target"><span>Ирон</span></a></li><li class="interlanguage-link interwiki-pa mw-list-item"><a href="https://pa.wikipedia.org/wiki/%E0%A8%96%E0%A9%87%E0%A8%A4%E0%A8%B0%E0%A8%AB%E0%A8%B2" title="ਖੇਤਰਫਲ – панджаби" lang="pa" hreflang="pa" data-title="ਖੇਤਰਫਲ" data-language-autonym="ਪੰਜਾਬੀ" data-language-local-name="панджаби" class="interlanguage-link-target"><span>ਪੰਜਾਬੀ</span></a></li><li class="interlanguage-link interwiki-pfl mw-list-item"><a href="https://pfl.wikipedia.org/wiki/Fl%C3%A4che" title="Fläche – Palatine German" lang="pfl" hreflang="pfl" data-title="Fläche" data-language-autonym="Pälzisch" data-language-local-name="Palatine German" class="interlanguage-link-target"><span>Pälzisch</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Pole_powierzchni" title="Pole powierzchni – польский" lang="pl" hreflang="pl" data-title="Pole powierzchni" data-language-autonym="Polski" data-language-local-name="польский" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pnb mw-list-item"><a href="https://pnb.wikipedia.org/wiki/%D8%B1%D9%82%D8%A8%DB%81" title="رقبہ – Western Punjabi" lang="pnb" hreflang="pnb" data-title="رقبہ" data-language-autonym="پنجابی" data-language-local-name="Western Punjabi" class="interlanguage-link-target"><span>پنجابی</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/%C3%81rea" title="Área – португальский" lang="pt" hreflang="pt" data-title="Área" data-language-autonym="Português" data-language-local-name="португальский" 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/Hallka_k%27iti_k%27anchar" title="Hallka k'iti k'anchar – кечуа" lang="qu" hreflang="qu" data-title="Hallka k'iti k'anchar" data-language-autonym="Runa Simi" data-language-local-name="кечуа" 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/Arie" title="Arie – румынский" lang="ro" hreflang="ro" data-title="Arie" data-language-autonym="Română" data-language-local-name="румынский" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%9F%D0%BB%D0%BE%D1%89%D0%B0%D0%B4%D1%8C" title="Площадь – русский" lang="ru" hreflang="ru" data-title="Площадь" data-language-autonym="Русский" data-language-local-name="русский" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sa mw-list-item"><a href="https://sa.wikipedia.org/wiki/%E0%A4%95%E0%A5%8D%E0%A4%B7%E0%A5%87%E0%A4%A4%E0%A5%8D%E0%A4%B0%E0%A4%AB%E0%A4%B2%E0%A4%AE%E0%A5%8D" title="क्षेत्रफलम् – санскрит" lang="sa" hreflang="sa" data-title="क्षेत्रफलम्" data-language-autonym="संस्कृतम्" data-language-local-name="санскрит" class="interlanguage-link-target"><span>संस्कृतम्</span></a></li><li class="interlanguage-link interwiki-sah mw-list-item"><a href="https://sah.wikipedia.org/wiki/%D0%98%D1%8D%D0%BD" title="Иэн – саха" lang="sah" hreflang="sah" data-title="Иэн" data-language-autonym="Саха тыла" data-language-local-name="саха" class="interlanguage-link-target"><span>Саха тыла</span></a></li><li class="interlanguage-link interwiki-scn mw-list-item"><a href="https://scn.wikipedia.org/wiki/%C3%80ria_(supirfici)" title="Ària (supirfici) – сицилийский" lang="scn" hreflang="scn" data-title="Ària (supirfici)" data-language-autonym="Sicilianu" data-language-local-name="сицилийский" class="interlanguage-link-target"><span>Sicilianu</span></a></li><li class="interlanguage-link interwiki-sco mw-list-item"><a href="https://sco.wikipedia.org/wiki/Area" title="Area – шотландский" lang="sco" hreflang="sco" data-title="Area" data-language-autonym="Scots" data-language-local-name="шотландский" class="interlanguage-link-target"><span>Scots</span></a></li><li class="interlanguage-link interwiki-sd mw-list-item"><a href="https://sd.wikipedia.org/wiki/%D8%A7%D9%8A%D8%B1%D8%A7%D8%B6%D9%8A" title="ايراضي – синдхи" lang="sd" hreflang="sd" data-title="ايراضي" data-language-autonym="سنڌي" data-language-local-name="синдхи" class="interlanguage-link-target"><span>سنڌي</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Povr%C5%A1ina" title="Površina – сербскохорватский" lang="sh" hreflang="sh" data-title="Površina" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="сербскохорватский" 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/Area" title="Area – Simple English" lang="en-simple" hreflang="en-simple" data-title="Area" 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/Plocha_(%C3%BAtvar)" title="Plocha (útvar) – словацкий" lang="sk" hreflang="sk" data-title="Plocha (útvar)" data-language-autonym="Slovenčina" data-language-local-name="словацкий" 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/Povr%C5%A1ina" title="Površina – словенский" lang="sl" hreflang="sl" data-title="Površina" data-language-autonym="Slovenščina" data-language-local-name="словенский" 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/Nharaunda" title="Nharaunda – шона" lang="sn" hreflang="sn" data-title="Nharaunda" data-language-autonym="ChiShona" data-language-local-name="шона" 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/Bed" title="Bed – сомали" lang="so" hreflang="so" data-title="Bed" data-language-autonym="Soomaaliga" data-language-local-name="сомали" 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/Sip%C3%ABrfaqja" title="Sipërfaqja – албанский" lang="sq" hreflang="sq" data-title="Sipërfaqja" data-language-autonym="Shqip" data-language-local-name="албанский" 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%9F%D0%BE%D0%B2%D1%80%D1%88%D0%B8%D0%BD%D0%B0" title="Површина – сербский" lang="sr" hreflang="sr" data-title="Површина" data-language-autonym="Српски / srpski" data-language-local-name="сербский" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-su mw-list-item"><a href="https://su.wikipedia.org/wiki/Ar%C3%A9a" title="Aréa – сунданский" lang="su" hreflang="su" data-title="Aréa" data-language-autonym="Sunda" data-language-local-name="сунданский" class="interlanguage-link-target"><span>Sunda</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Area" title="Area – шведский" lang="sv" hreflang="sv" data-title="Area" data-language-autonym="Svenska" data-language-local-name="шведский" 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/Eneo" title="Eneo – суахили" lang="sw" hreflang="sw" data-title="Eneo" data-language-autonym="Kiswahili" data-language-local-name="суахили" class="interlanguage-link-target"><span>Kiswahili</span></a></li><li class="interlanguage-link interwiki-szl mw-list-item"><a href="https://szl.wikipedia.org/wiki/Plac_rozlygowa%C5%84o" title="Plac rozlygowańo – силезский" lang="szl" hreflang="szl" data-title="Plac rozlygowańo" data-language-autonym="Ślůnski" data-language-local-name="силезский" class="interlanguage-link-target"><span>Ślůnski</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%AA%E0%AE%B0%E0%AE%AA%E0%AF%8D%E0%AE%AA%E0%AE%B3%E0%AE%B5%E0%AF%81" title="பரப்பளவு – тамильский" lang="ta" hreflang="ta" data-title="பரப்பளவு" data-language-autonym="தமிழ்" data-language-local-name="тамильский" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-te mw-list-item"><a href="https://te.wikipedia.org/wiki/%E0%B0%B5%E0%B0%BF%E0%B0%B8%E0%B1%8D%E0%B0%A4%E0%B1%80%E0%B0%B0%E0%B1%8D%E0%B0%A3%E0%B0%82" title="విస్తీర్ణం – телугу" lang="te" hreflang="te" data-title="విస్తీర్ణం" data-language-autonym="తెలుగు" data-language-local-name="телугу" class="interlanguage-link-target"><span>తెలుగు</span></a></li><li class="interlanguage-link interwiki-tg mw-list-item"><a href="https://tg.wikipedia.org/wiki/%D0%9C%D0%B0%D1%81%D0%BE%D2%B3%D0%B0%D1%82" title="Масоҳат – таджикский" lang="tg" hreflang="tg" data-title="Масоҳат" data-language-autonym="Тоҷикӣ" data-language-local-name="таджикский" class="interlanguage-link-target"><span>Тоҷикӣ</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%9E%E0%B8%B7%E0%B9%89%E0%B8%99%E0%B8%97%E0%B8%B5%E0%B9%88" title="พื้นที่ – тайский" lang="th" hreflang="th" data-title="พื้นที่" data-language-autonym="ไทย" data-language-local-name="тайский" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-ti mw-list-item"><a href="https://ti.wikipedia.org/wiki/%E1%8C%BD%E1%8D%8D%E1%88%93%E1%89%B5_%E1%88%98%E1%88%AC%E1%89%B5" title="ጽፍሓት መሬት – тигринья" lang="ti" hreflang="ti" data-title="ጽፍሓት መሬት" data-language-autonym="ትግርኛ" data-language-local-name="тигринья" class="interlanguage-link-target"><span>ትግርኛ</span></a></li><li class="interlanguage-link interwiki-tl mw-list-item"><a href="https://tl.wikipedia.org/wiki/Sukat" title="Sukat – тагалог" lang="tl" hreflang="tl" data-title="Sukat" data-language-autonym="Tagalog" data-language-local-name="тагалог" class="interlanguage-link-target"><span>Tagalog</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Alan" title="Alan – турецкий" lang="tr" hreflang="tr" data-title="Alan" data-language-autonym="Türkçe" data-language-local-name="турецкий" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-tt mw-list-item"><a href="https://tt.wikipedia.org/wiki/M%C3%A4ydan" title="Mäydan – татарский" lang="tt" hreflang="tt" data-title="Mäydan" data-language-autonym="Татарча / tatarça" data-language-local-name="татарский" class="interlanguage-link-target"><span>Татарча / tatarça</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%9F%D0%BB%D0%BE%D1%89%D0%B0" title="Площа – украинский" lang="uk" hreflang="uk" data-title="Площа" data-language-autonym="Українська" data-language-local-name="украинский" 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%B1%D9%82%D8%A8%DB%81" title="رقبہ – урду" lang="ur" hreflang="ur" data-title="رقبہ" data-language-autonym="اردو" data-language-local-name="урду" 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/Yuza" title="Yuza – узбекский" lang="uz" hreflang="uz" data-title="Yuza" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="узбекский" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/Di%E1%BB%87n_t%C3%ADch" title="Diện tích – вьетнамский" lang="vi" hreflang="vi" data-title="Diện tích" data-language-autonym="Tiếng Việt" data-language-local-name="вьетнамский" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-vls mw-list-item"><a href="https://vls.wikipedia.org/wiki/Ippervlak" title="Ippervlak – West Flemish" lang="vls" hreflang="vls" data-title="Ippervlak" data-language-autonym="West-Vlams" data-language-local-name="West Flemish" class="interlanguage-link-target"><span>West-Vlams</span></a></li><li class="interlanguage-link interwiki-wa mw-list-item"><a href="https://wa.wikipedia.org/wiki/Sitind%C3%AAye" title="Sitindêye – валлонский" lang="wa" hreflang="wa" data-title="Sitindêye" data-language-autonym="Walon" data-language-local-name="валлонский" class="interlanguage-link-target"><span>Walon</span></a></li><li class="interlanguage-link interwiki-war mw-list-item"><a href="https://war.wikipedia.org/wiki/Kahaluag" title="Kahaluag – варай" lang="war" hreflang="war" data-title="Kahaluag" data-language-autonym="Winaray" data-language-local-name="варай" class="interlanguage-link-target"><span>Winaray</span></a></li><li class="interlanguage-link interwiki-wo mw-list-item"><a href="https://wo.wikipedia.org/wiki/Yaatuwaay" title="Yaatuwaay – волоф" lang="wo" hreflang="wo" data-title="Yaatuwaay" data-language-autonym="Wolof" data-language-local-name="волоф" class="interlanguage-link-target"><span>Wolof</span></a></li><li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://wuu.wikipedia.org/wiki/%E9%9D%A2%E7%A7%AF" title="面积 – у" lang="wuu" hreflang="wuu" data-title="面积" data-language-autonym="吴语" data-language-local-name="у" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-xmf mw-list-item"><a href="https://xmf.wikipedia.org/wiki/%E1%83%A4%E1%83%90%E1%83%A0%E1%83%97%E1%83%9D%E1%83%91%E1%83%98" title="ფართობი – мегрельский" lang="xmf" hreflang="xmf" data-title="ფართობი" data-language-autonym="მარგალური" data-language-local-name="мегрельский" class="interlanguage-link-target"><span>მარგალური</span></a></li><li class="interlanguage-link interwiki-yi mw-list-item"><a href="https://yi.wikipedia.org/wiki/%D7%A9%D7%98%D7%97" title="שטח – идиш" lang="yi" hreflang="yi" data-title="שטח" data-language-autonym="ייִדיש" data-language-local-name="идиш" class="interlanguage-link-target"><span>ייִדיש</span></a></li><li class="interlanguage-link interwiki-yo mw-list-item"><a href="https://yo.wikipedia.org/wiki/%C3%80%C3%A0l%C3%A0" title="Ààlà – йоруба" lang="yo" hreflang="yo" data-title="Ààlà" data-language-autonym="Yorùbá" data-language-local-name="йоруба" class="interlanguage-link-target"><span>Yorùbá</span></a></li><li class="interlanguage-link interwiki-zea mw-list-item"><a href="https://zea.wikipedia.org/wiki/Oppervlak" title="Oppervlak – Zeelandic" lang="zea" hreflang="zea" data-title="Oppervlak" data-language-autonym="Zeêuws" data-language-local-name="Zeelandic" class="interlanguage-link-target"><span>Zeêuws</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E9%9D%A2%E7%A7%AF" title="面积 – китайский" lang="zh" hreflang="zh" data-title="面积" data-language-autonym="中文" data-language-local-name="китайский" class="interlanguage-link-target"><span>中文</span></a></li><li class="interlanguage-link interwiki-zh-min-nan mw-list-item"><a href="https://zh-min-nan.wikipedia.org/wiki/Bi%C4%81n-chek" title="Biān-chek – миньнань" lang="nan" hreflang="nan" data-title="Biān-chek" data-language-autonym="閩南語 / Bân-lâm-gú" data-language-local-name="миньнань" 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/%E9%9D%A2%E7%A9%8D" title="面積 – кантонский" lang="yue" hreflang="yue" data-title="面積" data-language-autonym="粵語" data-language-local-name="кантонский" 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/Q11500#sitelinks-wikipedia" title="Тилле арасы джибериулени тюрлендириу" class="wbc-editpage">Интервикилени тюрлендир</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="Ат аламла"> <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/%D0%9C%D0%B0%D0%B9%D0%B4%D0%B0%D0%BD%D0%BB%D1%8B%D0%BA%D1%8A" title="Статьяны ичиндеги [c]" accesskey="c"><span>Бет</span></a></li><li id="ca-talk" class="new vector-tab-noicon mw-list-item"><a href="/w/index.php?title=%D0%A1%D1%8E%D0%B7%D1%8E%D1%83:%D0%9C%D0%B0%D0%B9%D0%B4%D0%B0%D0%BD%D0%BB%D1%8B%D0%BA%D1%8A&action=edit&redlink=1" rel="discussion" class="new" title="Бетни ичиндегин сюзюу (быллай бет джокъду) [t]" accesskey="t"><span>Сюзюу</span></a></li> </ul> </div> </div> <div id="vector-variants-dropdown" class="vector-dropdown emptyPortlet" > <input type="checkbox" id="vector-variants-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-variants-dropdown" class="vector-dropdown-checkbox " aria-label="Тил вариантны тюрлендир" > <label id="vector-variants-dropdown-label" for="vector-variants-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">къарачай-малкъар</span> </label> <div class="vector-dropdown-content"> <div id="p-variants" class="vector-menu mw-portlet mw-portlet-variants emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> </div> </div> </nav> </div> <div id="right-navigation" class="vector-collapsible"> <nav aria-label="Къараула"> <div id="p-views" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-views" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-view" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/%D0%9C%D0%B0%D0%B9%D0%B4%D0%B0%D0%BD%D0%BB%D1%8B%D0%BA%D1%8A"><span>Окъу</span></a></li><li id="ca-ve-edit" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=%D0%9C%D0%B0%D0%B9%D0%B4%D0%B0%D0%BD%D0%BB%D1%8B%D0%BA%D1%8A&veaction=edit" title="Бу бетни тюзет [v]" accesskey="v"><span>Тюзет</span></a></li><li id="ca-edit" class="collapsible vector-tab-noicon mw-list-item"><a href="/w/index.php?title=%D0%9C%D0%B0%D0%B9%D0%B4%D0%B0%D0%BD%D0%BB%D1%8B%D0%BA%D1%8A&action=edit" title="Бетни чыкъгъан кодун тюрлендир [e]" accesskey="e"><span>Къайнакъны тюзет</span></a></li><li id="ca-history" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=%D0%9C%D0%B0%D0%B9%D0%B4%D0%B0%D0%BD%D0%BB%D1%8B%D0%BA%D1%8A&action=history" title="Бетни алгъын версиялары [h]" accesskey="h"><span>Тарихи</span></a></li> </ul> </div> </div> </nav> <nav class="vector-page-tools-landmark" aria-label="Бет адырла"> <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="Адырла" > <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">Адырла</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">Адырла</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-page-tools.pin">къабыргъа панелге ташы</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-page-tools.unpin">джашыр</button> </div> <div id="p-cactions" class="vector-menu mw-portlet mw-portlet-cactions emptyPortlet vector-has-collapsible-items" title="Аслам сайлам" > <div class="vector-menu-heading"> Этиуле </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/%D0%9C%D0%B0%D0%B9%D0%B4%D0%B0%D0%BD%D0%BB%D1%8B%D0%BA%D1%8A"><span>Окъу</span></a></li><li id="ca-more-ve-edit" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=%D0%9C%D0%B0%D0%B9%D0%B4%D0%B0%D0%BD%D0%BB%D1%8B%D0%BA%D1%8A&veaction=edit" title="Бу бетни тюзет [v]" accesskey="v"><span>Тюзет</span></a></li><li id="ca-more-edit" class="collapsible vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=%D0%9C%D0%B0%D0%B9%D0%B4%D0%B0%D0%BD%D0%BB%D1%8B%D0%BA%D1%8A&action=edit" title="Бетни чыкъгъан кодун тюрлендир [e]" accesskey="e"><span>Къайнакъны тюзет</span></a></li><li id="ca-more-history" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=%D0%9C%D0%B0%D0%B9%D0%B4%D0%B0%D0%BD%D0%BB%D1%8B%D0%BA%D1%8A&action=history"><span>Тарихи</span></a></li> </ul> </div> </div> <div id="p-tb" class="vector-menu mw-portlet mw-portlet-tb" > <div class="vector-menu-heading"> Баш </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-whatlinkshere" class="mw-list-item"><a href="/wiki/%D0%9A%D1%8A%D1%83%D0%BB%D0%BB%D1%83%D0%BA%D1%8A:%D0%A1%D1%81%D1%8B%D0%BB%D0%BA%D0%B8_%D1%81%D1%8E%D0%B4%D0%B0/%D0%9C%D0%B0%D0%B9%D0%B4%D0%B0%D0%BD%D0%BB%D1%8B%D0%BA%D1%8A" title="Бу бетге джибериу берген бютеу бетлени тизмеси [j]" accesskey="j"><span>Бетге джибериуле</span></a></li><li id="t-recentchangeslinked" class="mw-list-item"><a href="/wiki/%D0%9A%D1%8A%D1%83%D0%BB%D0%BB%D1%83%D0%BA%D1%8A:%D0%91%D0%B0%D0%B9%D0%BB%D0%B0%D0%BC%D0%BB%D1%8B_%D1%82%D1%8E%D1%80%D0%BB%D0%B5%D0%BD%D0%B8%D1%83%D0%BB%D0%B5/%D0%9C%D0%B0%D0%B9%D0%B4%D0%B0%D0%BD%D0%BB%D1%8B%D0%BA%D1%8A" rel="nofollow" title="Бу бет джибериуле берген бетледе ахыр тюрлениуле [k]" accesskey="k"><span>Байламлы тюрлениуле</span></a></li><li id="t-upload" class="mw-list-item"><a href="//commons.wikimedia.org/wiki/Special:UploadWizard?uselang=krc" title="Файлланы джюклеу [u]" accesskey="u"><span>Файл джюкле</span></a></li><li id="t-specialpages" class="mw-list-item"><a href="/wiki/%D0%9A%D1%8A%D1%83%D0%BB%D0%BB%D1%83%D0%BA%D1%8A:%D0%AD%D0%BD%D1%87%D0%B8_%D0%B1%D0%B5%D1%82%D0%BB%D0%B5" title="Бютеу къуллукъ бетлени тизмеси [q]" accesskey="q"><span>Къуллукъ бетле</span></a></li><li id="t-permalink" class="mw-list-item"><a href="/w/index.php?title=%D0%9C%D0%B0%D0%B9%D0%B4%D0%B0%D0%BD%D0%BB%D1%8B%D0%BA%D1%8A&oldid=113416" title="Бетни бу версиясына дайым джибериу"><span>Дайым джибериу</span></a></li><li id="t-info" class="mw-list-item"><a href="/w/index.php?title=%D0%9C%D0%B0%D0%B9%D0%B4%D0%B0%D0%BD%D0%BB%D1%8B%D0%BA%D1%8A&action=info" title="Бу бетни юсюнден аслам информация"><span>Бетни информациясы</span></a></li><li id="t-cite" class="mw-list-item"><a href="/w/index.php?title=%D0%9A%D1%8A%D1%83%D0%BB%D0%BB%D1%83%D0%BA%D1%8A:%D0%A6%D0%B8%D1%82%D0%B0%D1%82%D0%B0&page=%D0%9C%D0%B0%D0%B9%D0%B4%D0%B0%D0%BD%D0%BB%D1%8B%D0%BA%D1%8A&id=113416&wpFormIdentifier=titleform" title="Бу бетни къалай цитата этерге керек болгъаныны юсюнден информация"><span>Бетни цитата эт</span></a></li><li id="t-urlshortener" class="mw-list-item"><a href="/w/index.php?title=%D0%9A%D1%8A%D1%83%D0%BB%D0%BB%D1%83%D0%BA%D1%8A:UrlShortener&url=https%3A%2F%2Fkrc.wikipedia.org%2Fwiki%2F%25D0%259C%25D0%25B0%25D0%25B9%25D0%25B4%25D0%25B0%25D0%25BD%25D0%25BB%25D1%258B%25D0%25BA%25D1%258A"><span>Къысхартылгъан URL-адрес ал</span></a></li><li id="t-urlshortener-qrcode" class="mw-list-item"><a href="/w/index.php?title=%D0%9A%D1%8A%D1%83%D0%BB%D0%BB%D1%83%D0%BA%D1%8A:QrCode&url=https%3A%2F%2Fkrc.wikipedia.org%2Fwiki%2F%25D0%259C%25D0%25B0%25D0%25B9%25D0%25B4%25D0%25B0%25D0%25BD%25D0%25BB%25D1%258B%25D0%25BA%25D1%258A"><span>QR-кодну эндир</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"> Басма/экспорт </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=%D0%9A%D1%8A%D1%83%D0%BB%D0%BB%D1%83%D0%BA%D1%8A:%D0%9A%D0%BE%D0%BB%D0%BB%D0%B5%D0%BA%D1%86%D0%B8%D1%8F_%D0%BA%D0%BD%D0%B8%D0%B3&bookcmd=book_creator&referer=%D0%9C%D0%B0%D0%B9%D0%B4%D0%B0%D0%BD%D0%BB%D1%8B%D0%BA%D1%8A"><span>Китаб къура</span></a></li><li id="coll-download-as-rl" class="mw-list-item"><a href="/w/index.php?title=%D0%9A%D1%8A%D1%83%D0%BB%D0%BB%D1%83%D0%BA%D1%8A:DownloadAsPdf&page=%D0%9C%D0%B0%D0%B9%D0%B4%D0%B0%D0%BD%D0%BB%D1%8B%D0%BA%D1%8A&action=show-download-screen"><span>PDF кибик эндир</span></a></li><li id="t-print" class="mw-list-item"><a href="/w/index.php?title=%D0%9C%D0%B0%D0%B9%D0%B4%D0%B0%D0%BD%D0%BB%D1%8B%D0%BA%D1%8A&printable=yes" title="Бу бетни басмагъа версиясы [p]" accesskey="p"><span>Басмагъа версия</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"> Башха проектледе </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:Area" hreflang="en"><span>Викигёзен</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/Q11500" title="Билгилени репозиторийини байламлы элементине джибериу [g]" accesskey="g"><span>Викибилгиле элементи</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="Бет адырла"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="Кёрюнюую"> <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">Кёрюнюую</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">къабыргъа панелге ташы</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">джашыр</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">Википедия — эркин энциклопедияны статьясы.</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="krc" dir="ltr"><table class="infobox_v2" align="center" style="font-size:90%; vertical-align:top; text-align:center; empty-cells:collapse; min-width:190px; max-width:260px; width:30%;" cellspacing="1px"> <tbody><tr style="font-size:110%; text-align:center;"> <th colspan="2" style="background-color: #b3b7ff;">               Майданлыкъ </th></tr> <tr> <th>Символ </th> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle S}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>S</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle S}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4611d85173cd3b508e67077d4a1252c9c05abca2" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.499ex; height:2.176ex;" alt="{\displaystyle S}"></span>, чыкъгъаны <a href="/wiki/%D0%A4%D1%80%D0%B0%D0%BD%D1%86%D1%83%D0%B7_%D1%82%D0%B8%D0%BB" title="Француз тил">фр.</a> <i><span lang="fr">superficie</span></i> </td></tr> <tr> <th><a href="/wiki/%D0%A4%D0%B8%D0%B7%D0%B8%D0%BA%D0%B0%D0%BB%D1%8B%D0%BA%D1%8A_%D1%83%D0%BB%D0%BB%D1%83%D0%BB%D1%83%D0%BA%D1%8A%D0%BD%D1%83_%D1%91%D0%BB%D1%87%D0%B5%D0%BC%D0%BB%D0%B8%D0%B3%D0%B8" title="Физикалыкъ уллулукъну ёлчемлиги">Ёлчемлик</a> </th> <td>L² </td></tr> <tr> <td colspan="2" style="text-align:center;"><a href="/wiki/%D0%81%D0%BB%D1%87%D0%B5%D0%BB%D0%B5%D1%83_%D0%B1%D0%B8%D1%80%D0%B8%D0%BC" title="Ёлчелеу бирим">Ёлчелеу бирим</a> </td></tr> <tr> <th><a href="/wiki/%D0%81%D0%BB%D1%87%D0%B5%D0%BB%D0%B5%D1%83%D0%BB%D0%B5%D0%BD%D0%B8_%D1%85%D0%B0%D0%BB%D0%BA%D1%8A%D0%BB%D0%B0_%D0%B0%D1%80%D0%B0%D1%81%D1%8B_%D1%81%D0%B8%D1%81%D1%82%D0%B5%D0%BC%D0%B0%D1%81%D1%8B" class="mw-redirect" title="Ёлчелеулени халкъла арасы системасы">ЁС</a> </th> <td><a href="/w/index.php?title=%D0%9A%D0%B2%D0%B0%D0%B4%D1%80%D0%B0%D1%82_%D0%BC%D0%B5%D1%82%D1%80&action=edit&redlink=1" class="new" title="Квадрат метр (быллай бет джокъду)">м²</a> </td></tr> <tr> <th><a href="/wiki/%D0%A1%D0%93%D0%A1" title="СГС">СГС</a> </th> <td><a href="/w/index.php?title=%D0%9A%D0%B2%D0%B0%D0%B4%D1%80%D0%B0%D1%82_%D1%81%D0%B0%D0%BD%D1%82%D0%B8%D0%BC%D0%B5%D1%82%D1%80&action=edit&redlink=1" class="new" title="Квадрат сантиметр (быллай бет джокъду)">см²</a> </td></tr> <tr> <th>Белгиле </th> <td><a href="/w/index.php?title=%D0%A1%D0%BA%D0%B0%D0%BB%D1%8F%D1%80&action=edit&redlink=1" class="new" title="Скаляр (быллай бет джокъду)">скаляр</a> </td></tr></tbody></table> <figure class="mw-default-size mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/%D0%A4%D0%B0%D0%B9%D0%BB:Area.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/b/b9/Area.svg/220px-Area.svg.png" decoding="async" width="220" height="220" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/b9/Area.svg/330px-Area.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/b9/Area.svg/440px-Area.svg.png 2x" data-file-width="800" data-file-height="800" /></a><figcaption>Юч фигураны да бютеулей майданлыгъы 15-16 квадратчыкъ болады</figcaption></figure> <p><b> Майданлыкъ</b> неда <b>Майдан</b> — <a href="/w/index.php?title=%D0%A4%D0%B8%D0%B7%D0%B8%D0%BA%D0%B0%D0%BB%D1%8B%D0%BA%D1%8A_%D1%83%D0%BB%D0%BB%D1%83%D0%BB%D1%83%D0%BA%D1%8A&action=edit&redlink=1" class="new" title="Физикалыкъ уллулукъ (быллай бет джокъду)">физикалыкъ уллулукъду</a>, ол юсню ёлчемин белгилейди, геометриялыкъ фигураланы эм баш шартларыны бириди, математикада, юсню бютеулей неда бир кесегини толтургъан кёблюк нохталаны ёлчесиди<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup>. Эскиден майданлыкъны тергеу <a href="/w/index.php?title=%D0%9A%D0%B2%D0%B0%D0%B4%D1%80%D0%B0%D1%82%D1%83%D1%80%D0%B0_(%D0%BC%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0)&action=edit&redlink=1" class="new" title="Квадратура (математика) (быллай бет джокъду)">квадратура</a> атны джюрютгенди. Бош фигураланы кескин магъанасы бу ангыламгъа практика джанындан берилген излемге кёре болады. Бирча майданлыкълары болгъан фигуралагъа <i>тенг уллулукълу</i> фигурала дейдиле. </p><p>Геометриялыкъ фигураланы тергеуню орталыкъ мадарын <a href="/w/index.php?title=%D0%98%D0%BD%D1%82%D0%B5%D0%B3%D1%80%D0%B0%D0%BB_%D1%82%D0%B5%D1%80%D0%B3%D0%B5%D1%83_%D0%B1%D0%B0%D0%B4%D0%B6%D0%B0%D1%80%D0%B3%D1%8A%D0%B0%D0%BD%D0%B4%D1%8B&action=edit&redlink=1" class="new" title="Интеграл тергеу баджаргъанды (быллай бет джокъду)">интеграл тергеу баджаргъанды</a>. Майданлыкъны бир халгъа келтирилген ангыламы <a href="/w/index.php?title=%D0%9A%D1%91%D0%B1%D0%BB%D1%8E%D0%BA%D0%BD%D1%8E_%D1%91%D0%BB%D1%87%D0%B5%D1%81%D0%B8&action=edit&redlink=1" class="new" title="Кёблюкню ёлчеси (быллай бет джокъду)">кёблюкню ёлчеси</a> болгъанды, ол геометриялыкъ объектлени кенг классына келишеди. Практикада майданлыкъну ёлчелер ючюн <a href="/w/index.php?title=%D0%9F%D0%B0%D0%BB%D0%B5%D1%82%D0%BA%D0%B0_(%D0%B3%D0%B5%D0%BE%D0%B4%D0%B5%D0%B7%D0%B8%D1%8F)&action=edit&redlink=1" class="new" title="Палетка (геодезия) (быллай бет джокъду)">палеткны</a> неда энчи ёлчелеу адырны — <a href="/w/index.php?title=%D0%9F%D0%BB%D0%B0%D0%BD%D0%B8%D0%BC%D0%B5%D1%82%D1%80&action=edit&redlink=1" class="new" title="Планиметр (быллай бет джокъду)">планиметрни</a> хайырландырадыла. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Майданлыкъ_ангыламны_белгилеую"><span id=".D0.9C.D0.B0.D0.B9.D0.B4.D0.B0.D0.BD.D0.BB.D1.8B.D0.BA.D1.8A_.D0.B0.D0.BD.D0.B3.D1.8B.D0.BB.D0.B0.D0.BC.D0.BD.D1.8B_.D0.B1.D0.B5.D0.BB.D0.B3.D0.B8.D0.BB.D0.B5.D1.83.D1.8E"></span>Майданлыкъ ангыламны белгилеую</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%9C%D0%B0%D0%B9%D0%B4%D0%B0%D0%BD%D0%BB%D1%8B%D0%BA%D1%8A&veaction=edit&section=1" title="Майданлыкъ ангыламны белгилеую бёлюмню тюрлендир" class="mw-editsection-visualeditor"><span>тюзет</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%9C%D0%B0%D0%B9%D0%B4%D0%B0%D0%BD%D0%BB%D1%8B%D0%BA%D1%8A&action=edit&section=1" title="Бёлюмню къайнакъ кодун тюзет: Майданлыкъ ангыламны белгилеую"><span>къайнакъны тюзет</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="Энчиликлери"><span id=".D0.AD.D0.BD.D1.87.D0.B8.D0.BB.D0.B8.D0.BA.D0.BB.D0.B5.D1.80.D0.B8"></span>Энчиликлери</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%9C%D0%B0%D0%B9%D0%B4%D0%B0%D0%BD%D0%BB%D1%8B%D0%BA%D1%8A&veaction=edit&section=2" title="Энчиликлери бёлюмню тюрлендир" class="mw-editsection-visualeditor"><span>тюзет</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%9C%D0%B0%D0%B9%D0%B4%D0%B0%D0%BD%D0%BB%D1%8B%D0%BA%D1%8A&action=edit&section=2" title="Бёлюмню къайнакъ кодун тюзет: Энчиликлери"><span>къайнакъны тюзет</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-default-size mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/%D0%A4%D0%B0%D0%B9%D0%BB:Jordan_illustration.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4f/Jordan_illustration.png/220px-Jordan_illustration.png" decoding="async" width="220" height="208" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4f/Jordan_illustration.png/330px-Jordan_illustration.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4f/Jordan_illustration.png/440px-Jordan_illustration.png 2x" data-file-width="1064" data-file-height="1006" /></a><figcaption>Жорданны ич ёлчеси, Жорданны тыш ёлчесине тенг эсе, кёблюк Жордан бла ёлчеленирчады</figcaption></figure> <p>Майданлыкъ — бу энчиликлеге ие болгъан функцияды<sup id="cite_ref-Геометрия—1966——7—13_2-0" class="reference"><a href="#cite_note-Геометрия—1966——7—13-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-mathenc_3-0" class="reference"><a href="#cite_note-mathenc-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup>: </p> <ul><li>Позитивлик, ол демеклик майданлыкъ негатив уллулукъ тюлдю (<a href="/w/index.php?title=%D0%A1%D0%BA%D0%B0%D0%BB%D1%8F%D1%80_%D1%83%D0%BB%D0%BB%D1%83%D0%BB%D1%83%D0%BA%D1%8A&action=edit&redlink=1" class="new" title="Скаляр уллулукъ (быллай бет джокъду)">скаляр</a>);</li> <li><a href="/w/index.php?title=%D0%90%D0%B4%D0%B4%D0%B8%D1%82%D0%B8%D0%B2_%D1%83%D0%BB%D0%BB%D1%83%D0%BB%D1%83%D0%BA%D1%8A&action=edit&redlink=1" class="new" title="Аддитив уллулукъ (быллай бет джокъду)">Аддитивлик</a>, ол демеклик фигураны майданлыгъы, къуралгъан фигураларыны ортакъ ич нохтасыз майнданлыкъларына тенгди;</li> <li>Инвариантлыкъ, ол демеклик <a href="/w/index.php?title=%D0%9A%D0%BE%D0%BD%D0%B3%D1%80%D1%83%D1%8D%D0%BD%D1%82%D0%BD%D0%BB%D0%B8%D0%BA_(%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%8F)&action=edit&redlink=1" class="new" title="Конгруэнтнлик (геометрия) (быллай бет джокъду)">конгруэнт</a> фигураланы майданлыкълары тенгди;</li> <li>Мардалаулукъ, ол демеклик <a href="/w/index.php?title=%D0%91%D0%B8%D1%80%D0%B8%D0%BC%D0%BB%D0%B8_%D0%BA%D0%B2%D0%B0%D0%B4%D1%80%D0%B0%D1%82&action=edit&redlink=1" class="new" title="Биримли квадрат (быллай бет джокъду)">биримли квадратны</a> майданлыгъы 1-ге тенгди.</li></ul> <p>Майданлыкъны бу ачыкълауундан аны монотонлукълугъу чыгъады, ол демеклик фигураны кесеклерини майданлыкълары, бютеу фигураны майндалыкълыгъындан азды<sup id="cite_ref-Геометрия—1966——7—13_2-1" class="reference"><a href="#cite_note-Геометрия—1966——7—13-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup>. </p> <div class="mw-heading mw-heading3"><h3 id="Квадратланнган_фигурала"><span id=".D0.9A.D0.B2.D0.B0.D0.B4.D1.80.D0.B0.D1.82.D0.BB.D0.B0.D0.BD.D0.BD.D0.B3.D0.B0.D0.BD_.D1.84.D0.B8.D0.B3.D1.83.D1.80.D0.B0.D0.BB.D0.B0"></span>Квадратланнган фигурала</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%9C%D0%B0%D0%B9%D0%B4%D0%B0%D0%BD%D0%BB%D1%8B%D0%BA%D1%8A&veaction=edit&section=3" title="Квадратланнган фигурала бёлюмню тюрлендир" class="mw-editsection-visualeditor"><span>тюзет</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%9C%D0%B0%D0%B9%D0%B4%D0%B0%D0%BD%D0%BB%D1%8B%D0%BA%D1%8A&action=edit&section=3" title="Бёлюмню къайнакъ кодун тюзет: Квадратланнган фигурала"><span>къайнакъны тюзет</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="bandeau-section bandeau-niveau-detail loupe"><i><a href="/wiki/%D0%91%D0%B0%D1%88_%D0%B1%D0%B5%D1%82" title="Баш бет">Википедияда</a> бу теманы юсюнден энчи статья барды: <a href="/w/index.php?title=%D0%96%D0%BE%D1%80%D0%B4%D0%B0%D0%BD%D0%BD%D1%8B_%D1%91%D0%BB%D1%87%D0%B5%D1%81%D0%B8&action=edit&redlink=1" class="new" title="Жорданны ёлчеси (быллай бет джокъду)">Жорданны ёлчеси</a>.</i></div> <p>Аллында майданлыкъны ачыкълауу <a href="/w/index.php?title=%D0%9A%D1%91%D0%B1%D0%BC%D1%8E%D0%B9%D1%8E%D1%88&action=edit&redlink=1" class="new" title="Кёбмюйюш (быллай бет джокъду)">кёбмюйюшле</a> ючюн къурашдырылгъанды, артдан ол квадратланнга фигуралагъа да джайылгъанды. Квадратланнган фигура деб, кёбмюйюшню ичинде сыйындырылгъан эмда аны ичине да кёб мюйюш сыйыннган фигурагъа айтылады, эки кёбмюйюшню майданлыгъы кеси излегенча гитче уллулукъгъа айрыды. Аллай фигуралагъа <a href="/w/index.php?title=%D0%96%D0%BE%D1%80%D0%B4%D0%B0%D0%BD%D0%BD%D1%8B_%D1%91%D0%BB%D1%87%D0%B5%D1%81%D0%B8&action=edit&redlink=1" class="new" title="Жорданны ёлчеси (быллай бет джокъду)">Жордан бла ёлчеленалгъан</a> фигурала да дейдиле<sup id="cite_ref-mathenc_3-1" class="reference"><a href="#cite_note-mathenc-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup>. <a href="/w/index.php?title=%D0%91%D0%B8%D1%80%D0%B8%D0%BC%D0%BB%D0%B8_%D0%BA%D0%B2%D0%B0%D0%B4%D1%80%D0%B0%D1%82&action=edit&redlink=1" class="new" title="Биримли квадрат (быллай бет джокъду)">Биримли квадратланы</a> сау санындан къуралмагъан джассылыкъда фигурала ючюн, майданлыкъ <a href="/w/index.php?title=%D0%9B%D0%B8%D0%BC%D0%B8%D1%82_(%D0%BC%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0)&action=edit&redlink=1" class="new" title="Лимит (математика) (быллай бет джокъду)">мардалы кёчюу</a> хайырландырылады; ол озаманда фигура эмда аны чеги кесекли-сыйдам болургъа керекди<sup id="cite_ref-4" class="reference"><a href="#cite_note-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup>. Квадратланмагъан джассы фигурала боладыла<sup id="cite_ref-mathenc_3-2" class="reference"><a href="#cite_note-mathenc-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup>. Башында теджелген майданлыкъны аксиомалыкъ ачыкълаугъа джассы фигурала ючюн конструктив ачыкълау къошулады, ол заманда майданлыкъны ёлчелеу палетка бла этиледи. Ёлчелеу кескинирек болур ючюн, эндиги атламда аллындагъы атламдагъы палеткадан квадратны джаны он кереге аз болгъан палетка хайырландырылады<sup id="cite_ref-kvant_5-0" class="reference"><a href="#cite_note-kvant-5"><span class="cite-bracket">[</span>5<span class="cite-bracket">]</span></a></sup>. </p><p>Квадратланнган джассы фигураны майданлыгъы барды эмда джангызды. Ортакълыракъ кёблюклеге джайылгъан майданлыкъ ангылам, кёблюклени айгъакълаууна келтиргенди, ала <a href="/w/index.php?title=%D0%9B%D0%B5%D0%B1%D0%B5%D0%B3%D0%BD%D0%B8_%D1%91%D0%BB%D1%87%D0%B5%D1%81%D0%B8&action=edit&redlink=1" class="new" title="Лебегни ёлчеси (быллай бет джокъду)">Лебег бла ёлчеленирчадыла</a>, аны бла <a href="/w/index.php?title=%D0%81%D0%BB%D1%87%D0%B5%D0%BD%D0%B8_%D1%82%D0%B5%D0%BE%D1%80%D0%B8%D1%8F%D1%81%D1%8B&action=edit&redlink=1" class="new" title="Ёлчени теориясы (быллай бет джокъду)">ёлчени теориясы</a> кюрешеди. Андан ары баргъанда андан да ортакълыракъ классла чыгъадыла, алагъа майданлыкъны энчилиги джангызлыгъына гарантия бермейди<sup id="cite_ref-mathenc_3-3" class="reference"><a href="#cite_note-mathenc-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup>. </p> <div class="mw-heading mw-heading2"><h2 id="Майданлыкъны_белгилеуню_ортакъ_амалы"><span id=".D0.9C.D0.B0.D0.B9.D0.B4.D0.B0.D0.BD.D0.BB.D1.8B.D0.BA.D1.8A.D0.BD.D1.8B_.D0.B1.D0.B5.D0.BB.D0.B3.D0.B8.D0.BB.D0.B5.D1.83.D0.BD.D1.8E_.D0.BE.D1.80.D1.82.D0.B0.D0.BA.D1.8A_.D0.B0.D0.BC.D0.B0.D0.BB.D1.8B"></span>Майданлыкъны белгилеуню ортакъ амалы</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%9C%D0%B0%D0%B9%D0%B4%D0%B0%D0%BD%D0%BB%D1%8B%D0%BA%D1%8A&veaction=edit&section=4" title="Майданлыкъны белгилеуню ортакъ амалы бёлюмню тюрлендир" class="mw-editsection-visualeditor"><span>тюзет</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%9C%D0%B0%D0%B9%D0%B4%D0%B0%D0%BD%D0%BB%D1%8B%D0%BA%D1%8A&action=edit&section=4" title="Бёлюмню къайнакъ кодун тюзет: Майданлыкъны белгилеуню ортакъ амалы"><span>къайнакъны тюзет</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="Джассы_фигураны_майданлыгъы"><span id=".D0.94.D0.B6.D0.B0.D1.81.D1.81.D1.8B_.D1.84.D0.B8.D0.B3.D1.83.D1.80.D0.B0.D0.BD.D1.8B_.D0.BC.D0.B0.D0.B9.D0.B4.D0.B0.D0.BD.D0.BB.D1.8B.D0.B3.D1.8A.D1.8B"></span>Джассы фигураны майданлыгъы</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%9C%D0%B0%D0%B9%D0%B4%D0%B0%D0%BD%D0%BB%D1%8B%D0%BA%D1%8A&veaction=edit&section=5" title="Джассы фигураны майданлыгъы бёлюмню тюрлендир" class="mw-editsection-visualeditor"><span>тюзет</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%9C%D0%B0%D0%B9%D0%B4%D0%B0%D0%BD%D0%BB%D1%8B%D0%BA%D1%8A&action=edit&section=5" title="Бёлюмню къайнакъ кодун тюзет: Джассы фигураны майданлыгъы"><span>къайнакъны тюзет</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Практикада кёбюсюне кесекли-сыйдадм чеги болгъан чекленнген фигураны майданлыгъын айгъакъларгъа керек болады. <a href="/w/index.php?title=%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0%D0%BB%D1%8B%D0%BA%D1%8A_%D0%B0%D0%BD%D0%B0%D0%BB%D0%B8%D0%B7&action=edit&redlink=1" class="new" title="Математикалыкъ анализ (быллай бет джокъду)">Математикалыкъ анализ</a> быллай хыйсабланы эсеблер ючюн универсал амал теджейди. </p> <div class="mw-heading mw-heading4"><h4 id="Декартны_координатлары"><span id=".D0.94.D0.B5.D0.BA.D0.B0.D1.80.D1.82.D0.BD.D1.8B_.D0.BA.D0.BE.D0.BE.D1.80.D0.B4.D0.B8.D0.BD.D0.B0.D1.82.D0.BB.D0.B0.D1.80.D1.8B"></span>Декартны координатлары</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%9C%D0%B0%D0%B9%D0%B4%D0%B0%D0%BD%D0%BB%D1%8B%D0%BA%D1%8A&veaction=edit&section=6" title="Декартны координатлары бёлюмню тюрлендир" class="mw-editsection-visualeditor"><span>тюзет</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%9C%D0%B0%D0%B9%D0%B4%D0%B0%D0%BD%D0%BB%D1%8B%D0%BA%D1%8A&action=edit&section=6" title="Бёлюмню къайнакъ кодун тюзет: Декартны координатлары"><span>къайнакъны тюзет</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-halign-left" typeof="mw:File/Thumb"><a href="/wiki/%D0%A4%D0%B0%D0%B9%D0%BB:Integral_as_region_under_curve.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/f/f2/Integral_as_region_under_curve.svg/180px-Integral_as_region_under_curve.svg.png" decoding="async" width="180" height="168" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/f2/Integral_as_region_under_curve.svg/270px-Integral_as_region_under_curve.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/f2/Integral_as_region_under_curve.svg/360px-Integral_as_region_under_curve.svg.png 2x" data-file-width="750" data-file-height="700" /></a><figcaption>Фигураны майданлыгъыча белгиленнген интеграл</figcaption></figure> <figure typeof="mw:File/Thumb"><a href="/wiki/%D0%A4%D0%B0%D0%B9%D0%BB:Areabetweentwographs.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/f/f9/Areabetweentwographs.svg/180px-Areabetweentwographs.svg.png" decoding="async" width="180" height="162" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/f9/Areabetweentwographs.svg/270px-Areabetweentwographs.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/f9/Areabetweentwographs.svg/360px-Areabetweentwographs.svg.png 2x" data-file-width="1000" data-file-height="900" /></a><figcaption>Эки функцияны графиклерини арасында майданлыкъ, бу эки функциядан интегралланы, бирча интеграция лимитлеринде алымларына тенгди</figcaption></figure> <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 [a,b]}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">[</mo> <mi>a</mi> <mo>,</mo> <mi>b</mi> <mo stretchy="false">]</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle [a,b]}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9c4b788fc5c637e26ee98b45f89a5c08c85f7935" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:4.555ex; height:2.843ex;" alt="{\displaystyle [a,b]}"></span> интеравалда бёлюнмеген <a href="/w/index.php?title=%D0%A4%D1%83%D0%BD%D0%BA%D1%86%D0%B8%D1%8F%D0%BD%D1%8B_%D0%B3%D1%80%D0%B0%D1%84%D0%B8%D0%BA%D0%B8&action=edit&redlink=1" class="new" title="Функцияны графики (быллай бет джокъду)">функцияны графики</a> бла горизонтал осну арасындагъы майданлыкъ ол функциядан <a href="/w/index.php?title=%D0%91%D0%B5%D0%BB%D0%B3%D0%B8%D0%BB%D0%B5%D0%BD%D0%BD%D0%B3%D0%B5%D0%BD_%D0%B8%D0%BD%D1%82%D0%B5%D0%B3%D1%80%D0%B0%D0%BB&action=edit&redlink=1" class="new" title="Белгиленнген интеграл (быллай бет джокъду)">белгиленнген интеграл</a> кибик тергелирге боллукъду: </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 S=\int \limits _{a}^{b}f(x)\,dx}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>S</mi> <mo>=</mo> <munderover> <mo>∫</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>b</mi> </mrow> </munderover> <mi>f</mi> <mo stretchy="false">(</mo> <mi>x</mi> <mo stretchy="false">)</mo> <mspace width="thinmathspace" /> <mi>d</mi> <mi>x</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle S=\int \limits _{a}^{b}f(x)\,dx}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/879483eba9aebb5833f27d8cba412f6188c45c21" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.838ex; width:14.529ex; height:9.176ex;" alt="{\displaystyle S=\int \limits _{a}^{b}f(x)\,dx}"></span></dd></dl> <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 f(x),\,g(x)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>f</mi> <mo stretchy="false">(</mo> <mi>x</mi> <mo stretchy="false">)</mo> <mo>,</mo> <mspace width="thinmathspace" /> <mi>g</mi> <mo stretchy="false">(</mo> <mi>x</mi> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle f(x),\,g(x)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c666b0658f9dfbd1bfde6fddca17184db2608c0c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:10.094ex; height:2.843ex;" alt="{\displaystyle f(x),\,g(x)}"></span> эки бёлюнмеген функцияны графиклерини <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle [a,b]}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">[</mo> <mi>a</mi> <mo>,</mo> <mi>b</mi> <mo stretchy="false">]</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle [a,b]}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9c4b788fc5c637e26ee98b45f89a5c08c85f7935" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:4.555ex; height:2.843ex;" alt="{\displaystyle [a,b]}"></span> интервалны арасындагъы майданлыкъ бу функцияланы алымларыны модулларыны белгиленнген интегралыча болады: </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 S=\int \limits _{a}^{b}\left|f(x)-g(x)\right|\,dx}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>S</mi> <mo>=</mo> <munderover> <mo>∫</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>b</mi> </mrow> </munderover> <mrow> <mo>|</mo> <mrow> <mi>f</mi> <mo stretchy="false">(</mo> <mi>x</mi> <mo stretchy="false">)</mo> <mo>−</mo> <mi>g</mi> <mo stretchy="false">(</mo> <mi>x</mi> <mo stretchy="false">)</mo> </mrow> <mo>|</mo> </mrow> <mspace width="thinmathspace" /> <mi>d</mi> <mi>x</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle S=\int \limits _{a}^{b}\left|f(x)-g(x)\right|\,dx}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9a93a35b14998292814fbfd40bfedf98d8b37de6" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.838ex; width:23.305ex; height:9.176ex;" alt="{\displaystyle S=\int \limits _{a}^{b}\left|f(x)-g(x)\right|\,dx}"></span> </p> <div class="mw-heading mw-heading4"><h4 id="Полюс_координатла"><span id=".D0.9F.D0.BE.D0.BB.D1.8E.D1.81_.D0.BA.D0.BE.D0.BE.D1.80.D0.B4.D0.B8.D0.BD.D0.B0.D1.82.D0.BB.D0.B0"></span>Полюс координатла</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%9C%D0%B0%D0%B9%D0%B4%D0%B0%D0%BD%D0%BB%D1%8B%D0%BA%D1%8A&veaction=edit&section=7" title="Полюс координатла бёлюмню тюрлендир" class="mw-editsection-visualeditor"><span>тюзет</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%9C%D0%B0%D0%B9%D0%B4%D0%B0%D0%BD%D0%BB%D1%8B%D0%BA%D1%8A&action=edit&section=7" title="Бёлюмню къайнакъ кодун тюзет: Полюс координатла"><span>къайнакъны тюзет</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><a href="/w/index.php?title=%D0%9F%D0%BE%D0%BB%D1%8E%D1%81_%D0%BA%D0%BE%D0%BE%D1%80%D0%B4%D0%B8%D0%BD%D0%B0%D1%82&action=edit&redlink=1" class="new" title="Полюс координат (быллай бет джокъду)">Полюс координатлада</a>: <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle r=r(\theta )}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>r</mi> <mo>=</mo> <mi>r</mi> <mo stretchy="false">(</mo> <mi>θ</mi> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle r=r(\theta )}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/979c97f7e8c52e8ee26aa2e5ccd517cc76e31508" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:8.096ex; height:2.843ex;" alt="{\displaystyle r=r(\theta )}"></span> функцияны графиги эмда <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 \theta =\theta _{1},\theta =\theta _{2},\theta _{1}<\theta _{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>θ</mi> <mo>=</mo> <msub> <mi>θ</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>,</mo> <mi>θ</mi> <mo>=</mo> <msub> <mi>θ</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>,</mo> <msub> <mi>θ</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo><</mo> <msub> <mi>θ</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \theta =\theta _{1},\theta =\theta _{2},\theta _{1}<\theta _{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c9d941d32fbdd49bdc3fb6c58ca21c5f2ff4c57c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:22.123ex; height:2.509ex;" alt="{\displaystyle \theta =\theta _{1},\theta =\theta _{2},\theta _{1}<\theta _{2}}"></span> сызтаякъ бла чекленнген майданлыкъ бу формула бла тергеленеди: </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 S={1 \over 2}\int \limits _{\theta _{1}}^{\theta _{2}}r^{2}(\theta )\,d\theta }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>S</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </mrow> <munderover> <mo>∫</mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>θ</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mrow> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>θ</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mrow> </munderover> <msup> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo stretchy="false">(</mo> <mi>θ</mi> <mo stretchy="false">)</mo> <mspace width="thinmathspace" /> <mi>d</mi> <mi>θ</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle S={1 \over 2}\int \limits _{\theta _{1}}^{\theta _{2}}r^{2}(\theta )\,d\theta }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e9f7a13ed7459436242b9d5dc717377d3a815a30" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -4.338ex; width:17.551ex; height:9.676ex;" alt="{\displaystyle S={1 \over 2}\int \limits _{\theta _{1}}^{\theta _{2}}r^{2}(\theta )\,d\theta }"></span>.</dd></dl> <p><br /> </p> <div class="mw-heading mw-heading4"><h4 id="Параметрлик_форма"><span id=".D0.9F.D0.B0.D1.80.D0.B0.D0.BC.D0.B5.D1.82.D1.80.D0.BB.D0.B8.D0.BA_.D1.84.D0.BE.D1.80.D0.BC.D0.B0"></span>Параметрлик форма</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%9C%D0%B0%D0%B9%D0%B4%D0%B0%D0%BD%D0%BB%D1%8B%D0%BA%D1%8A&veaction=edit&section=8" title="Параметрлик форма бёлюмню тюрлендир" class="mw-editsection-visualeditor"><span>тюзет</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%9C%D0%B0%D0%B9%D0%B4%D0%B0%D0%BD%D0%BB%D1%8B%D0%BA%D1%8A&action=edit&section=8" title="Бёлюмню къайнакъ кодун тюзет: Параметрлик форма"><span>къайнакъны тюзет</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Фигура параметрлик формада бу тенглендириу бла берилсин: </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 {\begin{cases}x=\varphi \left(t\right)\\y=\psi \left(t\right)\end{cases}},t\in \left[t_{1},t_{2}\right]}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow> <mo>{</mo> <mtable columnalign="left left" rowspacing=".2em" columnspacing="1em" displaystyle="false"> <mtr> <mtd> <mi>x</mi> <mo>=</mo> <mi>φ</mi> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> </mtd> </mtr> <mtr> <mtd> <mi>y</mi> <mo>=</mo> <mi>ψ</mi> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> </mtd> </mtr> </mtable> <mo fence="true" stretchy="true" symmetric="true"></mo> </mrow> </mrow> <mo>,</mo> <mi>t</mi> <mo>∈</mo> <mrow> <mo>[</mo> <mrow> <msub> <mi>t</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>,</mo> <msub> <mi>t</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mrow> <mo>]</mo> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\begin{cases}x=\varphi \left(t\right)\\y=\psi \left(t\right)\end{cases}},t\in \left[t_{1},t_{2}\right]}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/dbf64cfc521d7a84b699569d2d63a1b8ed3f68ce" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:22.308ex; height:6.176ex;" alt="{\displaystyle {\begin{cases}x=\varphi \left(t\right)\\y=\psi \left(t\right)\end{cases}},t\in \left[t_{1},t_{2}\right]}"></span> </p><p>Ол заманда, <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 x=\varphi \left(t\right)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>x</mi> <mo>=</mo> <mi>φ</mi> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x=\varphi \left(t\right)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5e0abd2f4621bf3001c1c3e6889f6fdc16d62bcc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:8.984ex; height:2.843ex;" alt="{\displaystyle x=\varphi \left(t\right)}"></span> функцияны дифференцияланнган кери къайтарылыуу бар эсе, бизни функциябыз <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 f(x)=\psi \left(\varphi ^{-1}\left(t\right)\right)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>f</mi> <mo stretchy="false">(</mo> <mi>x</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mi>ψ</mi> <mrow> <mo>(</mo> <mrow> <msup> <mi>φ</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>−</mo> <mn>1</mn> </mrow> </msup> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> </mrow> <mo>)</mo> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle f(x)=\psi \left(\varphi ^{-1}\left(t\right)\right)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/92345c276570a5a8701e15ebe4b764a834699253" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:18.435ex; height:3.343ex;" alt="{\displaystyle f(x)=\psi \left(\varphi ^{-1}\left(t\right)\right)}"></span> кёрюнюмде бериледи. </p><p>Алай болса, фигураны майданлыгъын бу формула бла тергейдиле: </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 S=\int \limits _{t_{1}}^{t_{2}}f(\varphi \left(t\right){\frac {d\varphi }{dt}}dt}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>S</mi> <mo>=</mo> <munderover> <mo>∫</mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>t</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mrow> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>t</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mrow> </munderover> <mi>f</mi> <mo stretchy="false">(</mo> <mi>φ</mi> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>d</mi> <mi>φ</mi> </mrow> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> </mrow> <mi>d</mi> <mi>t</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle S=\int \limits _{t_{1}}^{t_{2}}f(\varphi \left(t\right){\frac {d\varphi }{dt}}dt}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3930b0a1bad4c621a00eb9f095c18281add56f36" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -4.171ex; width:20.134ex; height:9.509ex;" alt="{\displaystyle S=\int \limits _{t_{1}}^{t_{2}}f(\varphi \left(t\right){\frac {d\varphi }{dt}}dt}"></span> --> </p> <div class="mw-heading mw-heading3"><h3 id="Юсню_майданлыгъы"><span id=".D0.AE.D1.81.D0.BD.D1.8E_.D0.BC.D0.B0.D0.B9.D0.B4.D0.B0.D0.BD.D0.BB.D1.8B.D0.B3.D1.8A.D1.8B"></span>Юсню майданлыгъы</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%9C%D0%B0%D0%B9%D0%B4%D0%B0%D0%BD%D0%BB%D1%8B%D0%BA%D1%8A&veaction=edit&section=9" title="Юсню майданлыгъы бёлюмню тюрлендир" class="mw-editsection-visualeditor"><span>тюзет</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%9C%D0%B0%D0%B9%D0%B4%D0%B0%D0%BD%D0%BB%D1%8B%D0%BA%D1%8A&action=edit&section=9" title="Бёлюмню къайнакъ кодун тюзет: Юсню майданлыгъы"><span>къайнакъны тюзет</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="bandeau-section bandeau-niveau-detail loupe"><i><a href="/wiki/%D0%91%D0%B0%D1%88_%D0%B1%D0%B5%D1%82" title="Баш бет">Википедияда</a> бу теманы юсюнден энчи статья барды: <a href="/w/index.php?title=%D0%AE%D1%81%D0%BD%D1%8E_%D0%BC%D0%B0%D0%B9%D0%B4%D0%B0%D0%BD%D0%BB%D1%8B%D0%B3%D1%8A%D1%8B&action=edit&redlink=1" class="new" title="Юсню майданлыгъы (быллай бет джокъду)">Юсню майданлыгъы</a>.</i></div> <p>Кесекли-сыйдам юсню ючёлчели аламда майданлыгъын белгилер ючюн, тийген джассылыкълагъа хар нохтада ортогонал проекцияланы хайырландырадыла, андан сора лимит кёчюу этедиле. Эсебинде, <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 \mathbf {r} =\mathbf {r} (u,v),}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">r</mi> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">r</mi> </mrow> <mo stretchy="false">(</mo> <mi>u</mi> <mo>,</mo> <mi>v</mi> <mo stretchy="false">)</mo> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mathbf {r} =\mathbf {r} (u,v),}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6aeec617173611dac8fc72db0dff05aa533de232" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:11.25ex; height:2.843ex;" alt="{\displaystyle \mathbf {r} =\mathbf {r} (u,v),}"></span> <a href="/w/index.php?title=%D0%92%D0%B5%D0%BA%D1%82%D0%BE%D1%80-%D1%84%D1%83%D0%BD%D0%BA%D1%86%D0%B8%D1%8F&action=edit&redlink=1" class="new" title="Вектор-функция (быллай бет джокъду)">вектор-функция</a> бла белгиленнген <b>A</b> къынгырланнган юсню майданлыгъы экили интеграл бла бериледи: </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 S=\iint \limits _{A}\left|{\frac {\partial \mathbf {r} }{\partial u}}\times {\frac {\partial \mathbf {r} }{\partial v}}\right|\,du\,dv.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>S</mi> <mo>=</mo> <munder> <mo>∬</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>A</mi> </mrow> </munder> <mrow> <mo>|</mo> <mrow> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi mathvariant="normal">∂</mi> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">r</mi> </mrow> </mrow> <mrow> <mi mathvariant="normal">∂</mi> <mi>u</mi> </mrow> </mfrac> </mrow> <mo>×</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi mathvariant="normal">∂</mi> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">r</mi> </mrow> </mrow> <mrow> <mi mathvariant="normal">∂</mi> <mi>v</mi> </mrow> </mfrac> </mrow> </mrow> <mo>|</mo> </mrow> <mspace width="thinmathspace" /> <mi>d</mi> <mi>u</mi> <mspace width="thinmathspace" /> <mi>d</mi> <mi>v</mi> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle S=\iint \limits _{A}\left|{\frac {\partial \mathbf {r} }{\partial u}}\times {\frac {\partial \mathbf {r} }{\partial v}}\right|\,du\,dv.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2e7999a7606626325b6895b7a770508bcc314c1e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -4.005ex; width:26.002ex; height:7.509ex;" alt="{\displaystyle S=\iint \limits _{A}\left|{\frac {\partial \mathbf {r} }{\partial u}}\times {\frac {\partial \mathbf {r} }{\partial v}}\right|\,du\,dv.}"></span></dd></dl> <p>Ол координатлада да: </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 S=\iint \limits _{A}{\sqrt {\left({\frac {D(x,y)}{D(u,v)}}\right)^{2}+\left({\frac {D(y,z)}{D(u,v)}}\right)^{2}+\left({\frac {D(z,x)}{D(u,v)}}\right)^{2}}}\;\mathrm {d} \,u\,\mathrm {d} \,v}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>S</mi> <mo>=</mo> <munder> <mo>∬</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>A</mi> </mrow> </munder> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <msup> <mrow> <mo>(</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>D</mi> <mo stretchy="false">(</mo> <mi>x</mi> <mo>,</mo> <mi>y</mi> <mo stretchy="false">)</mo> </mrow> <mrow> <mi>D</mi> <mo stretchy="false">(</mo> <mi>u</mi> <mo>,</mo> <mi>v</mi> <mo stretchy="false">)</mo> </mrow> </mfrac> </mrow> <mo>)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <msup> <mrow> <mo>(</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>D</mi> <mo stretchy="false">(</mo> <mi>y</mi> <mo>,</mo> <mi>z</mi> <mo stretchy="false">)</mo> </mrow> <mrow> <mi>D</mi> <mo stretchy="false">(</mo> <mi>u</mi> <mo>,</mo> <mi>v</mi> <mo stretchy="false">)</mo> </mrow> </mfrac> </mrow> <mo>)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <msup> <mrow> <mo>(</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>D</mi> <mo stretchy="false">(</mo> <mi>z</mi> <mo>,</mo> <mi>x</mi> <mo stretchy="false">)</mo> </mrow> <mrow> <mi>D</mi> <mo stretchy="false">(</mo> <mi>u</mi> <mo>,</mo> <mi>v</mi> <mo stretchy="false">)</mo> </mrow> </mfrac> </mrow> <mo>)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </msqrt> </mrow> <mspace width="thickmathspace" /> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">d</mi> </mrow> <mspace width="thinmathspace" /> <mi>u</mi> <mspace width="thinmathspace" /> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">d</mi> </mrow> <mspace width="thinmathspace" /> <mi>v</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle S=\iint \limits _{A}{\sqrt {\left({\frac {D(x,y)}{D(u,v)}}\right)^{2}+\left({\frac {D(y,z)}{D(u,v)}}\right)^{2}+\left({\frac {D(z,x)}{D(u,v)}}\right)^{2}}}\;\mathrm {d} \,u\,\mathrm {d} \,v}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/702dca0448ddb24ce2e06a80b985c2ace3850052" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -4.005ex; width:60.895ex; height:8.676ex;" alt="{\displaystyle S=\iint \limits _{A}{\sqrt {\left({\frac {D(x,y)}{D(u,v)}}\right)^{2}+\left({\frac {D(y,z)}{D(u,v)}}\right)^{2}+\left({\frac {D(z,x)}{D(u,v)}}\right)^{2}}}\;\mathrm {d} \,u\,\mathrm {d} \,v}"></span></dd></dl> <p>Здесь <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 {D(y,z)}{D(u,v)}}={\begin{vmatrix}y'_{u}&y'_{v}\\z'_{u}&z'_{v}\end{vmatrix}},\quad {\frac {D(z,x)}{D(u,v)}}={\begin{vmatrix}z'_{u}&z'_{v}\\x'_{u}&x'_{v}\end{vmatrix}},\quad {\frac {D(x,y)}{D(u,v)}}={\begin{vmatrix}x'_{u}&x'_{v}\\y'_{u}&y'_{v}\end{vmatrix}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>D</mi> <mo stretchy="false">(</mo> <mi>y</mi> <mo>,</mo> <mi>z</mi> <mo stretchy="false">)</mo> </mrow> <mrow> <mi>D</mi> <mo stretchy="false">(</mo> <mi>u</mi> <mo>,</mo> <mi>v</mi> <mo stretchy="false">)</mo> </mrow> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow> <mo>|</mo> <mtable rowspacing="4pt" columnspacing="1em"> <mtr> <mtd> <msubsup> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>u</mi> </mrow> <mo>′</mo> </msubsup> </mtd> <mtd> <msubsup> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> </mrow> <mo>′</mo> </msubsup> </mtd> </mtr> <mtr> <mtd> <msubsup> <mi>z</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>u</mi> </mrow> <mo>′</mo> </msubsup> </mtd> <mtd> <msubsup> <mi>z</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> </mrow> <mo>′</mo> </msubsup> </mtd> </mtr> </mtable> <mo>|</mo> </mrow> </mrow> <mo>,</mo> <mspace width="1em" /> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>D</mi> <mo stretchy="false">(</mo> <mi>z</mi> <mo>,</mo> <mi>x</mi> <mo stretchy="false">)</mo> </mrow> <mrow> <mi>D</mi> <mo stretchy="false">(</mo> <mi>u</mi> <mo>,</mo> <mi>v</mi> <mo stretchy="false">)</mo> </mrow> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow> <mo>|</mo> <mtable rowspacing="4pt" columnspacing="1em"> <mtr> <mtd> <msubsup> <mi>z</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>u</mi> </mrow> <mo>′</mo> </msubsup> </mtd> <mtd> <msubsup> <mi>z</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> </mrow> <mo>′</mo> </msubsup> </mtd> </mtr> <mtr> <mtd> <msubsup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>u</mi> </mrow> <mo>′</mo> </msubsup> </mtd> <mtd> <msubsup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> </mrow> <mo>′</mo> </msubsup> </mtd> </mtr> </mtable> <mo>|</mo> </mrow> </mrow> <mo>,</mo> <mspace width="1em" /> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>D</mi> <mo stretchy="false">(</mo> <mi>x</mi> <mo>,</mo> <mi>y</mi> <mo stretchy="false">)</mo> </mrow> <mrow> <mi>D</mi> <mo stretchy="false">(</mo> <mi>u</mi> <mo>,</mo> <mi>v</mi> <mo stretchy="false">)</mo> </mrow> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow> <mo>|</mo> <mtable rowspacing="4pt" columnspacing="1em"> <mtr> <mtd> <msubsup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>u</mi> </mrow> <mo>′</mo> </msubsup> </mtd> <mtd> <msubsup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> </mrow> <mo>′</mo> </msubsup> </mtd> </mtr> <mtr> <mtd> <msubsup> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>u</mi> </mrow> <mo>′</mo> </msubsup> </mtd> <mtd> <msubsup> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>v</mi> </mrow> <mo>′</mo> </msubsup> </mtd> </mtr> </mtable> <mo>|</mo> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {D(y,z)}{D(u,v)}}={\begin{vmatrix}y'_{u}&y'_{v}\\z'_{u}&z'_{v}\end{vmatrix}},\quad {\frac {D(z,x)}{D(u,v)}}={\begin{vmatrix}z'_{u}&z'_{v}\\x'_{u}&x'_{v}\end{vmatrix}},\quad {\frac {D(x,y)}{D(u,v)}}={\begin{vmatrix}x'_{u}&x'_{v}\\y'_{u}&y'_{v}\end{vmatrix}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/52ec3b1897cb5563de4f24458024fe8979662968" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.671ex; width:67.526ex; height:6.509ex;" alt="{\displaystyle {\frac {D(y,z)}{D(u,v)}}={\begin{vmatrix}y'_{u}&y'_{v}\\z'_{u}&z'_{v}\end{vmatrix}},\quad {\frac {D(z,x)}{D(u,v)}}={\begin{vmatrix}z'_{u}&z'_{v}\\x'_{u}&x'_{v}\end{vmatrix}},\quad {\frac {D(x,y)}{D(u,v)}}={\begin{vmatrix}x'_{u}&x'_{v}\\y'_{u}&y'_{v}\end{vmatrix}}}"></span>. </p> <div class="mw-heading mw-heading3"><h3 id="Майданланы_теориясы"><span id=".D0.9C.D0.B0.D0.B9.D0.B4.D0.B0.D0.BD.D0.BB.D0.B0.D0.BD.D1.8B_.D1.82.D0.B5.D0.BE.D1.80.D0.B8.D1.8F.D1.81.D1.8B"></span>Майданланы теориясы</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%9C%D0%B0%D0%B9%D0%B4%D0%B0%D0%BD%D0%BB%D1%8B%D0%BA%D1%8A&veaction=edit&section=10" title="Майданланы теориясы бёлюмню тюрлендир" class="mw-editsection-visualeditor"><span>тюзет</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%9C%D0%B0%D0%B9%D0%B4%D0%B0%D0%BD%D0%BB%D1%8B%D0%BA%D1%8A&action=edit&section=10" title="Бёлюмню къайнакъ кодун тюзет: Майданланы теориясы"><span>къайнакъны тюзет</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Майданланы теориясы k-ёлчели майданлыкъны аслам ортакъ аламлагъа кесекли-сыйдам батдырылыууну ачыкълаууну джайылыуу бла байламлы бир халгъа келтириуле бла кюрешеди. Кесекли-сыйдам батдырылыу ючюн f майданлыкъны башында белгиленнген амал бла айгъакълайдыла, аны бла бирге майданлыкъда позитивлик, <a href="/w/index.php?title=%D0%90%D0%B4%D0%B4%D0%B8%D1%82%D0%B8%D0%B2%D0%BB%D0%B8%D0%BA_(%D0%BC%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0)&action=edit&redlink=1" class="new" title="Аддитивлик (математика) (быллай бет джокъду)">аддитивлик</a>, мардаланыулукъ кибик энчиликлери сакъланады эмда джангы энчиликле да джаратыладыла. </p> <div class="mw-heading mw-heading2"><h2 id="Майданлыкъны_ёлчелеу_биримлери"><span id=".D0.9C.D0.B0.D0.B9.D0.B4.D0.B0.D0.BD.D0.BB.D1.8B.D0.BA.D1.8A.D0.BD.D1.8B_.D1.91.D0.BB.D1.87.D0.B5.D0.BB.D0.B5.D1.83_.D0.B1.D0.B8.D1.80.D0.B8.D0.BC.D0.BB.D0.B5.D1.80.D0.B8"></span>Майданлыкъны ёлчелеу биримлери</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%9C%D0%B0%D0%B9%D0%B4%D0%B0%D0%BD%D0%BB%D1%8B%D0%BA%D1%8A&veaction=edit&section=11" title="Майданлыкъны ёлчелеу биримлери бёлюмню тюрлендир" class="mw-editsection-visualeditor"><span>тюзет</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%9C%D0%B0%D0%B9%D0%B4%D0%B0%D0%BD%D0%BB%D1%8B%D0%BA%D1%8A&action=edit&section=11" title="Бёлюмню къайнакъ кодун тюзет: Майданлыкъны ёлчелеу биримлери"><span>къайнакъны тюзет</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/%D0%A4%D0%B0%D0%B9%D0%BB:Area_conversion_-_square_mm_in_a_square_cm.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/8/81/Area_conversion_-_square_mm_in_a_square_cm.png/200px-Area_conversion_-_square_mm_in_a_square_cm.png" decoding="async" width="200" height="168" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/81/Area_conversion_-_square_mm_in_a_square_cm.png/300px-Area_conversion_-_square_mm_in_a_square_cm.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/81/Area_conversion_-_square_mm_in_a_square_cm.png/400px-Area_conversion_-_square_mm_in_a_square_cm.png 2x" data-file-width="831" data-file-height="699" /></a><figcaption>Бир квадрат сантиметрде джюз квадрат миллиметр барды</figcaption></figure> <div class="mw-heading mw-heading3"><h3 id="Метрлик_биримле"><span id=".D0.9C.D0.B5.D1.82.D1.80.D0.BB.D0.B8.D0.BA_.D0.B1.D0.B8.D1.80.D0.B8.D0.BC.D0.BB.D0.B5"></span>Метрлик биримле</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%9C%D0%B0%D0%B9%D0%B4%D0%B0%D0%BD%D0%BB%D1%8B%D0%BA%D1%8A&veaction=edit&section=12" title="Метрлик биримле бёлюмню тюрлендир" class="mw-editsection-visualeditor"><span>тюзет</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%9C%D0%B0%D0%B9%D0%B4%D0%B0%D0%BD%D0%BB%D1%8B%D0%BA%D1%8A&action=edit&section=12" title="Бёлюмню къайнакъ кодун тюзет: Метрлик биримле"><span>къайнакъны тюзет</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/w/index.php?title=%D0%9A%D0%B2%D0%B0%D0%B4%D1%80%D0%B0%D1%82_%D0%BC%D0%B5%D1%82%D1%80&action=edit&redlink=1" class="new" title="Квадрат метр (быллай бет джокъду)">Квадрат метр</a>, <a href="/wiki/%D0%81%D0%A1" title="ЁС">Халкъла арасы биримле системаны (ЁС)</a> чыгъарлыгъан биримиди; 1 <a href="/w/index.php?title=%D0%9C%C2%B2&action=edit&redlink=1" class="new" title="М² (быллай бет джокъду)">м²</a> = 1 са (<a href="/w/index.php?title=%D0%A1%D0%B0%D0%BD%D1%82%D0%B8%D0%B0%D1%80&action=edit&redlink=1" class="new" title="Сантиар (быллай бет джокъду)">сантиар</a>);</li> <li><a href="/w/index.php?title=%D0%9A%D0%B2%D0%B0%D0%B4%D1%80%D0%B0%D1%82_%D0%BA%D0%B8%D0%BB%D0%BE%D0%BC%D0%B5%D1%82%D1%80&action=edit&redlink=1" class="new" title="Квадрат километр (быллай бет джокъду)">Квадрат километр</a>, 1 км² = 1 000 000 м²;</li> <li><a href="/w/index.php?title=%D0%93%D0%B5%D0%BA%D1%82%D0%B0%D1%80&action=edit&redlink=1" class="new" title="Гектар (быллай бет джокъду)">Гектар</a>, 1 га = 10 000 м²;</li> <li><a href="/w/index.php?title=%D0%90%D1%80&action=edit&redlink=1" class="new" title="Ар (быллай бет джокъду)">Ар</a> (сотка), 1 а = 100 м²:</li> <li><a href="/w/index.php?title=%D0%9A%D0%B2%D0%B0%D0%B4%D1%80%D0%B0%D1%82_%D0%B4%D0%B5%D1%86%D0%B8%D0%BC%D0%B5%D1%82%D1%80&action=edit&redlink=1" class="new" title="Квадрат дециметр (быллай бет джокъду)">Квадрат дециметр</a>, 100 дм² = 1 м²;</li> <li><a href="/w/index.php?title=%D0%9A%D0%B2%D0%B0%D0%B4%D1%80%D0%B0%D1%82_%D1%81%D0%B0%D0%BD%D1%82%D0%B8%D0%BC%D0%B5%D1%82%D1%80&action=edit&redlink=1" class="new" title="Квадрат сантиметр (быллай бет джокъду)">Квадрат сантиметр</a>, 10 000 см² = 1 м²;</li> <li><a href="/w/index.php?title=%D0%9A%D0%B2%D0%B0%D0%B4%D1%80%D0%B0%D1%82_%D0%BC%D0%B8%D0%BB%D0%BB%D0%B8%D0%BC%D0%B5%D1%82%D1%80&action=edit&redlink=1" class="new" title="Квадрат миллиметр (быллай бет джокъду)">Квадрат миллиметр</a>, 1 000 000 мм² = 1 м²;</li> <li><a href="/w/index.php?title=%D0%91%D0%B0%D1%80%D0%BD&action=edit&redlink=1" class="new" title="Барн (быллай бет джокъду)">Барн</a>, 1 б = 10<sup>−28</sup> м².</li></ul> <div class="mw-heading mw-heading3"><h3 id="Антик_биримле"><span id=".D0.90.D0.BD.D1.82.D0.B8.D0.BA_.D0.B1.D0.B8.D1.80.D0.B8.D0.BC.D0.BB.D0.B5"></span>Антик биримле</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%9C%D0%B0%D0%B9%D0%B4%D0%B0%D0%BD%D0%BB%D1%8B%D0%BA%D1%8A&veaction=edit&section=13" title="Антик биримле бёлюмню тюрлендир" class="mw-editsection-visualeditor"><span>тюзет</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%9C%D0%B0%D0%B9%D0%B4%D0%B0%D0%BD%D0%BB%D1%8B%D0%BA%D1%8A&action=edit&section=13" title="Бёлюмню къайнакъ кодун тюзет: Антик биримле"><span>къайнакъны тюзет</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/w/index.php?title=%D0%90%D0%BA%D1%82%D1%83%D1%81_(%D1%91%D0%BB%D1%87%D0%B5)&action=edit&redlink=1" class="new" title="Актус (ёлче) (быллай бет джокъду)">Актус</a></li> <li><a href="/w/index.php?title=%D0%90%D1%80%D1%83%D1%80%D0%B0_(%D0%BC%D0%B8%D1%81%D0%B8%D1%80%D1%87%D0%B8_%D1%91%D0%BB%D1%87%D0%B5)&action=edit&redlink=1" class="new" title="Арура (мисирчи ёлче) (быллай бет джокъду)">Арура</a></li> <li><a href="/w/index.php?title=%D0%A6%D0%B5%D0%BD%D1%82%D1%83%D1%80%D0%B8%D1%8F&action=edit&redlink=1" class="new" title="Центурия (быллай бет джокъду)">Центурия</a></li> <li><a href="/w/index.php?title=%D0%AE%D0%B3%D0%B5%D1%80&action=edit&redlink=1" class="new" title="Югер (быллай бет джокъду)">Югер</a></li></ul> <div class="mw-heading mw-heading3"><h3 id="Башхала"><span id=".D0.91.D0.B0.D1.88.D1.85.D0.B0.D0.BB.D0.B0"></span>Башхала</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%9C%D0%B0%D0%B9%D0%B4%D0%B0%D0%BD%D0%BB%D1%8B%D0%BA%D1%8A&veaction=edit&section=14" title="Башхала бёлюмню тюрлендир" class="mw-editsection-visualeditor"><span>тюзет</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%9C%D0%B0%D0%B9%D0%B4%D0%B0%D0%BD%D0%BB%D1%8B%D0%BA%D1%8A&action=edit&section=14" title="Бёлюмню къайнакъ кодун тюзет: Башхала"><span>къайнакъны тюзет</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/w/index.php?title=%D0%90%D0%BA%D1%80&action=edit&redlink=1" class="new" title="Акр (быллай бет джокъду)">Акр</a></li> <li><a href="/w/index.php?title=%D0%A0%D0%B0%D0%B9_(%D0%BC%D0%B0%D0%B9%D0%B4%D0%B0%D0%BD%D0%BB%D1%8B%D0%BA%D1%8A_%D1%91%D0%BB%D1%87%D0%B5)&action=edit&redlink=1" class="new" title="Рай (майданлыкъ ёлче) (быллай бет джокъду)">Рай</a> = 1600 <a href="/w/index.php?title=%D0%9C%C2%B2&action=edit&redlink=1" class="new" title="М² (быллай бет джокъду)">м²</a> (40 м × 40 м).</li> <li>Квадрат парсек</li> <li><a href="/w/index.php?title=%D0%9F%D0%BB%D0%B0%D0%BD%D0%BA_%D0%BC%D0%B0%D0%B9%D0%B4%D0%B0%D0%BD%D0%BB%D1%8B%D0%BA%D1%8A&action=edit&redlink=1" class="new" title="Планк майданлыкъ (быллай бет джокъду)">Планк майданлыкъ</a> (<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle S_{P},{\ell }_{P}^{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>S</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>P</mi> </mrow> </msub> <mo>,</mo> <msubsup> <mrow class="MJX-TeXAtom-ORD"> <mi>ℓ</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>P</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msubsup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle S_{P},{\ell }_{P}^{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/73e2c93a4bcde3249ba3ceb019e24a2cd85ef746" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:6.361ex; height:3.176ex;" alt="{\displaystyle S_{P},{\ell }_{P}^{2}}"></span>) ≈ 2,612099 · 10<sup>−70</sup> м<sup>2</sup></li></ul> <div class="mw-heading mw-heading2"><h2 id="Бош_фигураланы_майданлыкъларын_тергеу_формулалары"><span id=".D0.91.D0.BE.D1.88_.D1.84.D0.B8.D0.B3.D1.83.D1.80.D0.B0.D0.BB.D0.B0.D0.BD.D1.8B_.D0.BC.D0.B0.D0.B9.D0.B4.D0.B0.D0.BD.D0.BB.D1.8B.D0.BA.D1.8A.D0.BB.D0.B0.D1.80.D1.8B.D0.BD_.D1.82.D0.B5.D1.80.D0.B3.D0.B5.D1.83_.D1.84.D0.BE.D1.80.D0.BC.D1.83.D0.BB.D0.B0.D0.BB.D0.B0.D1.80.D1.8B"></span>Бош фигураланы майданлыкъларын тергеу формулалары</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%9C%D0%B0%D0%B9%D0%B4%D0%B0%D0%BD%D0%BB%D1%8B%D0%BA%D1%8A&veaction=edit&section=15" title="Бош фигураланы майданлыкъларын тергеу формулалары бёлюмню тюрлендир" class="mw-editsection-visualeditor"><span>тюзет</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%9C%D0%B0%D0%B9%D0%B4%D0%B0%D0%BD%D0%BB%D1%8B%D0%BA%D1%8A&action=edit&section=15" title="Бёлюмню къайнакъ кодун тюзет: Бош фигураланы майданлыкъларын тергеу формулалары"><span>къайнакъны тюзет</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="Кёбмюйюшле"><span id=".D0.9A.D1.91.D0.B1.D0.BC.D1.8E.D0.B9.D1.8E.D1.88.D0.BB.D0.B5"></span><a href="/w/index.php?title=%D0%9A%D1%91%D0%B1%D0%BC%D1%8E%D0%B9%D1%8E%D1%88&action=edit&redlink=1" class="new" title="Кёбмюйюш (быллай бет джокъду)">Кёбмюйюшле</a></h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%9C%D0%B0%D0%B9%D0%B4%D0%B0%D0%BD%D0%BB%D1%8B%D0%BA%D1%8A&veaction=edit&section=16" title="Кёбмюйюшле бёлюмню тюрлендир" class="mw-editsection-visualeditor"><span>тюзет</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%9C%D0%B0%D0%B9%D0%B4%D0%B0%D0%BD%D0%BB%D1%8B%D0%BA%D1%8A&action=edit&section=16" title="Бёлюмню къайнакъ кодун тюзет: Кёбмюйюшле"><span>къайнакъны тюзет</span></a><span class="mw-editsection-bracket">]</span></span></div> <table class="wikitable"> <tbody><tr> <th><a href="/w/index.php?title=%D0%A4%D0%B8%D0%B3%D1%83%D1%80%D0%B0_(%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%8F)&action=edit&redlink=1" class="new" title="Фигура (геометрия) (быллай бет джокъду)">Фигура</a> </th> <th>Формула </th> <th>Тюрленмеле </th></tr> <tr> <td><a href="/w/index.php?title=%D0%A2%D1%8E%D0%B7_%D1%8E%D1%87%D0%BC%D1%8E%D0%B9%D1%8E%D1%88&action=edit&redlink=1" class="new" title="Тюз ючмюйюш (быллай бет джокъду)">Тюз ючмюйюш</a> </td> <td style="text-align:center"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a^{2}{\frac {\sqrt {3}}{4}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msqrt> <mn>3</mn> </msqrt> <mn>4</mn> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a^{2}{\frac {\sqrt {3}}{4}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0889f2b79212175cb435bcdd4dfad76ba5e40a4b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:6.219ex; height:5.843ex;" alt="{\displaystyle a^{2}{\frac {\sqrt {3}}{4}}}"></span> </td> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ffd2487510aa438433a2579450ab2b3d557e5edc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.23ex; height:1.676ex;" alt="{\displaystyle a}"></span> — ючмюйюшню бир джаны </td></tr> <tr> <td><a href="/w/index.php?title=%D0%A2%D0%B8%D0%BA%D0%BC%D1%8E%D0%B9%D1%8E%D1%88_%D1%8E%D1%87%D0%BC%D1%8E%D0%B9%D1%8E%D1%88&action=edit&redlink=1" class="new" title="Тикмюйюш ючмюйюш (быллай бет джокъду)">Тикмюйюш ючмюйюш</a> </td> <td style="text-align:center"><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 {ab}{2}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>a</mi> <mi>b</mi> </mrow> <mn>2</mn> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {ab}{2}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f9d08e669542196b313d142f67a1ba557ebc1f2a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:3.063ex; height:5.343ex;" alt="{\displaystyle {\frac {ab}{2}}}"></span> </td> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ffd2487510aa438433a2579450ab2b3d557e5edc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.23ex; height:1.676ex;" alt="{\displaystyle a}"></span> и <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 b}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>b</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle b}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f11423fbb2e967f986e36804a8ae4271734917c3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:0.998ex; height:2.176ex;" alt="{\displaystyle b}"></span> — ючмюйюшню катетлери </td></tr> <tr> <td rowspan="4">Кесича болгъан <a href="/w/index.php?title=%D0%AE%D1%87%D0%BC%D1%8E%D0%B9%D1%8E%D1%88&action=edit&redlink=1" class="new" title="Ючмюйюш (быллай бет джокъду)">ючмюйюш</a> </td> <td style="text-align:center"><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 {1}{2}}ah}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </mrow> <mi>a</mi> <mi>h</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {1}{2}}ah}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ee7e2efa7f51aa0532e5c90d14e294f179d7eeff" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:4.567ex; height:5.176ex;" alt="{\displaystyle {\frac {1}{2}}ah}"></span> </td> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ffd2487510aa438433a2579450ab2b3d557e5edc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.23ex; height:1.676ex;" alt="{\displaystyle a}"></span> — ючмюйюшню бир джаны, <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle h}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>h</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle h}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b26be3e694314bc90c3215047e4a2010c6ee184a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.339ex; height:2.176ex;" alt="{\displaystyle h}"></span> — ол джанына келтирилген мийиклик </td></tr> <tr> <td style="text-align:center"><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 {1}{2}}ab\sin \alpha }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </mrow> <mi>a</mi> <mi>b</mi> <mi>sin</mi> <mo>⁡</mo> <mi>α</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {1}{2}}ab\sin \alpha }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/eeba489f661c65300fe7a844f427056b0be0ff0e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:9.343ex; height:5.176ex;" alt="{\displaystyle {\frac {1}{2}}ab\sin \alpha }"></span> </td> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ffd2487510aa438433a2579450ab2b3d557e5edc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.23ex; height:1.676ex;" alt="{\displaystyle a}"></span> и <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 b}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>b</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle b}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f11423fbb2e967f986e36804a8ae4271734917c3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:0.998ex; height:2.176ex;" alt="{\displaystyle b}"></span> — къайсы болса да эки джаны, <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 \alpha }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>α</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \alpha }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b79333175c8b3f0840bfb4ec41b8072c83ea88d3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.488ex; height:1.676ex;" alt="{\displaystyle \alpha }"></span> — аланы арасында мюйюш </td></tr> <tr> <td style="text-align:center"><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 {p(p-a)(p-b)(p-c)}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mi>p</mi> <mo stretchy="false">(</mo> <mi>p</mi> <mo>−</mo> <mi>a</mi> <mo stretchy="false">)</mo> <mo stretchy="false">(</mo> <mi>p</mi> <mo>−</mo> <mi>b</mi> <mo stretchy="false">)</mo> <mo stretchy="false">(</mo> <mi>p</mi> <mo>−</mo> <mi>c</mi> <mo stretchy="false">)</mo> </msqrt> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\sqrt {p(p-a)(p-b)(p-c)}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/cb1e0813779f3167bfaaf69bc611350ddfc466d8" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:24.185ex; height:4.843ex;" alt="{\displaystyle {\sqrt {p(p-a)(p-b)(p-c)}}}"></span> <br /> (<a href="/w/index.php?title=%D0%93%D0%B5%D1%80%D0%BE%D0%BD%D0%BD%D1%83_%D1%84%D0%BE%D1%80%D0%BC%D1%83%D0%BB%D0%B0%D1%81%D1%8B&action=edit&redlink=1" class="new" title="Геронну формуласы (быллай бет джокъду)">Геронну формуласы</a>) </td> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ffd2487510aa438433a2579450ab2b3d557e5edc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.23ex; height:1.676ex;" alt="{\displaystyle 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 b}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>b</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle b}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f11423fbb2e967f986e36804a8ae4271734917c3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:0.998ex; height:2.176ex;" alt="{\displaystyle b}"></span> и <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 c}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>c</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle c}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/86a67b81c2de995bd608d5b2df50cd8cd7d92455" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.007ex; height:1.676ex;" alt="{\displaystyle c}"></span> — ючмюйюшню джанлары, <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 p}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>p</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle p}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/81eac1e205430d1f40810df36a0edffdc367af36" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; margin-left: -0.089ex; width:1.259ex; height:2.009ex;" alt="{\displaystyle p}"></span> — джарымпериметр <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 \left(p={\frac {a+b+c}{2}}\right)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow> <mo>(</mo> <mrow> <mi>p</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>a</mi> <mo>+</mo> <mi>b</mi> <mo>+</mo> <mi>c</mi> </mrow> <mn>2</mn> </mfrac> </mrow> </mrow> <mo>)</mo> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \left(p={\frac {a+b+c}{2}}\right)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/275b53955511bfb0a9dc0db74ae9cb54841645df" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:17.44ex; height:6.176ex;" alt="{\displaystyle \left(p={\frac {a+b+c}{2}}\right)}"></span> </td></tr> <tr> <td style="text-align:center"><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 {1}{2}}{\begin{vmatrix}x_{0}&y_{0}&1\\x_{1}&y_{1}&1\\x_{2}&y_{2}&1\end{vmatrix}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mrow> <mo>|</mo> <mtable rowspacing="4pt" columnspacing="1em"> <mtr> <mtd> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> </mtd> <mtd> <mn>1</mn> </mtd> </mtr> <mtr> <mtd> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mtd> <mtd> <mn>1</mn> </mtd> </mtr> <mtr> <mtd> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mtd> <mtd> <mn>1</mn> </mtd> </mtr> </mtable> <mo>|</mo> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {1}{2}}{\begin{vmatrix}x_{0}&y_{0}&1\\x_{1}&y_{1}&1\\x_{2}&y_{2}&1\end{vmatrix}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/17421f3e918754bf781f24810d8f9d6d4e5164ec" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -4.171ex; width:14.429ex; height:9.509ex;" alt="{\displaystyle {\frac {1}{2}}{\begin{vmatrix}x_{0}&y_{0}&1\\x_{1}&y_{1}&1\\x_{2}&y_{2}&1\end{vmatrix}}}"></span> </td> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle (x_{0};y_{0})}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">(</mo> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> <mo>;</mo> <msub> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle (x_{0};y_{0})}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/09c30273a2d45c355be53ed1a212b63b88d8b11d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:7.421ex; height:2.843ex;" alt="{\displaystyle (x_{0};y_{0})}"></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 (x_{1};y_{1})}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">(</mo> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>;</mo> <msub> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle (x_{1};y_{1})}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8af1a89219a3b56ad6f9ca799d4ef9eb5d8598c4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:7.421ex; height:2.843ex;" alt="{\displaystyle (x_{1};y_{1})}"></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 (x_{2};y_{2})}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">(</mo> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>;</mo> <msub> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle (x_{2};y_{2})}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a106873ad953d7a93d1dd65bbd0513f98ca1d108" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:7.421ex; height:2.843ex;" alt="{\displaystyle (x_{2};y_{2})}"></span> — ючмюйюшню джитилерини координатлары (джитилерин сагъат бурулгъан бла джанласакъ позитив эсеб аллыкъбыз, алай болмаса негатив) </td></tr> <tr> <td><a href="/w/index.php?title=%D0%9A%D0%B2%D0%B0%D0%B4%D1%80%D0%B0%D1%82&action=edit&redlink=1" class="new" title="Квадрат (быллай бет джокъду)">Квадрат</a> </td> <td style="text-align:center"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a^{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a^{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f564e5dc0b6e68af32ca8614e972f5b36e944a24" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.284ex; height:2.676ex;" alt="{\displaystyle a^{2}}"></span> </td> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ffd2487510aa438433a2579450ab2b3d557e5edc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.23ex; height:1.676ex;" alt="{\displaystyle a}"></span> — квадратны бир джаныны узунлугъу </td></tr> <tr> <td><a href="/w/index.php?title=%D0%A2%D0%B8%D0%BA%D0%BC%D1%8E%D0%B9%D1%8E%D1%88&action=edit&redlink=1" class="new" title="Тикмюйюш (быллай бет джокъду)">Тикмюйюш</a> </td> <td style="text-align:center"><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}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> <mi>b</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle ab}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/49337c5cf256196e2292f7047cb5da68c24ca95d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.227ex; height:2.176ex;" alt="{\displaystyle ab}"></span> </td> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ffd2487510aa438433a2579450ab2b3d557e5edc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.23ex; height:1.676ex;" alt="{\displaystyle a}"></span> эмда <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 b}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>b</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle b}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f11423fbb2e967f986e36804a8ae4271734917c3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:0.998ex; height:2.176ex;" alt="{\displaystyle b}"></span> — тикмюйюшню джанларыны узунлугъу (узунлугъу бла кенглиги) </td></tr> <tr> <td><a href="/w/index.php?title=%D0%A0%D0%BE%D0%BC%D0%B1&action=edit&redlink=1" class="new" title="Ромб (быллай бет джокъду)">Ромб</a> </td> <td style="text-align:center"><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 {1}{2}}cd}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </mrow> <mi>c</mi> <mi>d</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {1}{2}}cd}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d5e45cd598302d0075ad1c90941e4c2910569556" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:4.221ex; height:5.176ex;" alt="{\displaystyle {\frac {1}{2}}cd}"></span> </td> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle c}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>c</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle c}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/86a67b81c2de995bd608d5b2df50cd8cd7d92455" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.007ex; height:1.676ex;" alt="{\displaystyle c}"></span> и <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 d}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>d</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle d}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e85ff03cbe0c7341af6b982e47e9f90d235c66ab" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.216ex; height:2.176ex;" alt="{\displaystyle d}"></span> — ромбну диагоналларыны узунлугъу </td></tr> <tr> <td rowspan="2"><a href="/w/index.php?title=%D0%9F%D0%B0%D1%80%D0%B0%D0%BB%D0%BB%D0%B5%D0%BB%D0%BE%D0%B3%D1%80%D0%B0%D0%BC%D0%BC&action=edit&redlink=1" class="new" title="Параллелограмм (быллай бет джокъду)">Параллелограмм</a> </td> <td style="text-align:center"><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 ah}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> <mi>h</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle ah}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ac609e5e6bdcf3826deec0cf9b8a4a2ba8c3555e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.569ex; height:2.176ex;" alt="{\displaystyle ah}"></span> </td> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ffd2487510aa438433a2579450ab2b3d557e5edc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.23ex; height:1.676ex;" alt="{\displaystyle a}"></span> и <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle h}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>h</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle h}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b26be3e694314bc90c3215047e4a2010c6ee184a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.339ex; height:2.176ex;" alt="{\displaystyle h}"></span> — бир джанынын эмда аннга тюшюрюлген мийикликни узунлукълары </td></tr> <tr> <td style="text-align:center"><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\sin \alpha }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> <mi>b</mi> <mi>sin</mi> <mo>⁡</mo> <mi>α</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle ab\sin \alpha }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4590aa29058fcade6e511ce2ef32dc4445e569e6" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:7.345ex; height:2.176ex;" alt="{\displaystyle ab\sin \alpha }"></span> </td> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ffd2487510aa438433a2579450ab2b3d557e5edc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.23ex; height:1.676ex;" alt="{\displaystyle a}"></span> эмда <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 b}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>b</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle b}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f11423fbb2e967f986e36804a8ae4271734917c3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:0.998ex; height:2.176ex;" alt="{\displaystyle b}"></span> — параллелограммны хоншу джанлары, <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 \alpha }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>α</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \alpha }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b79333175c8b3f0840bfb4ec41b8072c83ea88d3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.488ex; height:1.676ex;" alt="{\displaystyle \alpha }"></span> — араларында мюйюш </td></tr> <tr> <td><a href="/w/index.php?title=%D0%A2%D1%80%D0%B0%D0%BF%D0%B5%D1%86%D0%B8%D1%8F&action=edit&redlink=1" class="new" title="Трапеция (быллай бет джокъду)">Трапеция</a> </td> <td style="text-align:center"><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 {1}{2}}(a+b)h}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </mrow> <mo stretchy="false">(</mo> <mi>a</mi> <mo>+</mo> <mi>b</mi> <mo stretchy="false">)</mo> <mi>h</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {1}{2}}(a+b)h}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/63b75588bfc53fbe7812b6ac717568bce5eda5d7" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:10.215ex; height:5.176ex;" alt="{\displaystyle {\frac {1}{2}}(a+b)h}"></span> </td> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ffd2487510aa438433a2579450ab2b3d557e5edc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.23ex; height:1.676ex;" alt="{\displaystyle a}"></span> и <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 b}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>b</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle b}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f11423fbb2e967f986e36804a8ae4271734917c3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:0.998ex; height:2.176ex;" alt="{\displaystyle b}"></span> — тамал трапеция, <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle h}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>h</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle h}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b26be3e694314bc90c3215047e4a2010c6ee184a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.339ex; height:2.176ex;" alt="{\displaystyle h}"></span> — трапецияны мийиклиги </td></tr> <tr> <td>Кесича болгъан <a href="/w/index.php?title=%D0%A2%D1%91%D1%80%D1%82%D0%BC%D1%8E%D0%B9%D1%8E%D1%88&action=edit&redlink=1" class="new" title="Тёртмюйюш (быллай бет джокъду)">тёртмюйюш</a> </td> <td style="text-align:center"><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 {(p-a)(p-b)(p-c)(p-d)-abcd\cos \alpha }}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mo stretchy="false">(</mo> <mi>p</mi> <mo>−</mo> <mi>a</mi> <mo stretchy="false">)</mo> <mo stretchy="false">(</mo> <mi>p</mi> <mo>−</mo> <mi>b</mi> <mo stretchy="false">)</mo> <mo stretchy="false">(</mo> <mi>p</mi> <mo>−</mo> <mi>c</mi> <mo stretchy="false">)</mo> <mo stretchy="false">(</mo> <mi>p</mi> <mo>−</mo> <mi>d</mi> <mo stretchy="false">)</mo> <mo>−</mo> <mi>a</mi> <mi>b</mi> <mi>c</mi> <mi>d</mi> <mi>cos</mi> <mo>⁡</mo> <mi>α</mi> </msqrt> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\sqrt {(p-a)(p-b)(p-c)(p-d)-abcd\cos \alpha }}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/fd41492e86a75cb80bb346800066b5ee27cd7c0b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:42.714ex; height:4.843ex;" alt="{\displaystyle {\sqrt {(p-a)(p-b)(p-c)(p-d)-abcd\cos \alpha }}}"></span> <br /> (<a href="/w/index.php?title=%D0%91%D1%80%D0%B0%D1%85%D0%BC%D0%B0%D0%B3%D1%83%D0%BF%D1%82%D0%B0%D0%BD%D1%8B_%D1%84%D0%BE%D1%80%D0%BC%D1%83%D0%BB%D0%B0%D1%81%D1%8B&action=edit&redlink=1" class="new" title="Брахмагуптаны формуласы (быллай бет джокъду)">Брахмагуптаны формуласы</a>) </td> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ffd2487510aa438433a2579450ab2b3d557e5edc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.23ex; height:1.676ex;" alt="{\displaystyle 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 b}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>b</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle b}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f11423fbb2e967f986e36804a8ae4271734917c3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:0.998ex; height:2.176ex;" alt="{\displaystyle b}"></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 c}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>c</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle c}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/86a67b81c2de995bd608d5b2df50cd8cd7d92455" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.007ex; height:1.676ex;" alt="{\displaystyle c}"></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 d}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>d</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle d}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e85ff03cbe0c7341af6b982e47e9f90d235c66ab" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.216ex; height:2.176ex;" alt="{\displaystyle d}"></span> — тёртмюйюшню джанлары, <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 p}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>p</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle p}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/81eac1e205430d1f40810df36a0edffdc367af36" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; margin-left: -0.089ex; width:1.259ex; height:2.009ex;" alt="{\displaystyle p}"></span> — аны джарымпериметри, <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 \alpha }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>α</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \alpha }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b79333175c8b3f0840bfb4ec41b8072c83ea88d3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.488ex; height:1.676ex;" alt="{\displaystyle \alpha }"></span> — тёртмюйюшню къаршчы тургъан мюйшлерини джарымсуммасы </td></tr> <tr> <td><a href="/w/index.php?title=%D0%A2%D1%8E%D0%B7_%D0%B0%D0%BB%D1%82%D1%8B%D0%BC%D1%8E%D0%B9%D1%8E%D1%88&action=edit&redlink=1" class="new" title="Тюз алтымюйюш (быллай бет джокъду)">Тюз алтымюйюш</a> </td> <td style="text-align:center"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a^{2}{\frac {3{\sqrt {3}}}{2}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mn>3</mn> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>3</mn> </msqrt> </mrow> </mrow> <mn>2</mn> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a^{2}{\frac {3{\sqrt {3}}}{2}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/fce4963f2fa22730aa6685a931344e08145f8c04" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:7.381ex; height:5.843ex;" alt="{\displaystyle a^{2}{\frac {3{\sqrt {3}}}{2}}}"></span> </td> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ffd2487510aa438433a2579450ab2b3d557e5edc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.23ex; height:1.676ex;" alt="{\displaystyle a}"></span> — алтымюйюшню бир джаныны узунлугъу </td></tr> <tr> <td><a href="/w/index.php?title=%D0%A2%D1%8E%D0%B7_%D1%81%D0%B5%D0%B3%D0%B8%D0%B7%D0%BC%D1%8E%D0%B9%D1%8E%D1%88&action=edit&redlink=1" class="new" title="Тюз сегизмюйюш (быллай бет джокъду)">Тюз сегизмюйюш</a> </td> <td style="text-align:center"><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 2a^{2}(1+{\sqrt {2}})}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>2</mn> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo stretchy="false">(</mo> <mn>1</mn> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>2</mn> </msqrt> </mrow> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 2a^{2}(1+{\sqrt {2}})}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/fdd2f47077872ce2826fede2d7fb6cd954a3b018" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:12.357ex; height:3.176ex;" alt="{\displaystyle 2a^{2}(1+{\sqrt {2}})}"></span> </td> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ffd2487510aa438433a2579450ab2b3d557e5edc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.23ex; height:1.676ex;" alt="{\displaystyle a}"></span> — сегизмюйюшню бир джаныны узунлугъу </td></tr> <tr> <td><a href="/w/index.php?title=%D0%A2%D1%8E%D0%B7_%D0%BA%D1%91%D0%B1%D0%BC%D1%8E%D0%B9%D1%8E%D1%88&action=edit&redlink=1" class="new" title="Тюз кёбмюйюш (быллай бет джокъду)">Тюз кёбмюйюш</a> </td> <td style="text-align:center"><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 {P^{2}/n}{4\operatorname {tg} (\pi /n)}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <msup> <mi>P</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <mi>n</mi> </mrow> <mrow> <mn>4</mn> <mi>tg</mi> <mo>⁡</mo> <mo stretchy="false">(</mo> <mi>π</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <mi>n</mi> <mo stretchy="false">)</mo> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {P^{2}/n}{4\operatorname {tg} (\pi /n)}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/296e9bcafc60f68ea60adcf7d76269ebb09e834a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.671ex; width:10.151ex; height:6.676ex;" alt="{\displaystyle {\frac {P^{2}/n}{4\operatorname {tg} (\pi /n)}}}"></span> </td> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle P}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>P</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle P}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b4dc73bf40314945ff376bd363916a738548d40a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.745ex; height:2.176ex;" alt="{\displaystyle P}"></span> — периметр, <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 n}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>n</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle n}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a601995d55609f2d9f5e233e36fbe9ea26011b3b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.395ex; height:1.676ex;" alt="{\displaystyle n}"></span> — джанларыны саны </td></tr> <tr> <td>Кесича болгъан <a href="/w/index.php?title=%D0%9A%D1%91%D0%B1%D0%BC%D1%8E%D0%B9%D1%8E%D1%88&action=edit&redlink=1" class="new" title="Кёбмюйюш (быллай бет джокъду)">кёбмюйюш</a> (тышына бюгюлген эмда тышына бюгюлмеген) </td> <td style="text-align:center"><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 {1}{2}}\left|\sum _{i=1}^{n}(x_{i+1}-x_{i})(y_{i+1}+y_{i})\right|}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </mrow> <mrow> <mo>|</mo> <mrow> <munderover> <mo>∑</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </munderover> <mo stretchy="false">(</mo> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> <mo>+</mo> <mn>1</mn> </mrow> </msub> <mo>−</mo> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </msub> <mo stretchy="false">)</mo> <mo stretchy="false">(</mo> <msub> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> <mo>+</mo> <mn>1</mn> </mrow> </msub> <mo>+</mo> <msub> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </msub> <mo stretchy="false">)</mo> </mrow> <mo>|</mo> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {1}{2}}\left|\sum _{i=1}^{n}(x_{i+1}-x_{i})(y_{i+1}+y_{i})\right|}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d091912161f20e5e27a3b5bf33deca63138089a0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.005ex; width:28.671ex; height:7.176ex;" alt="{\displaystyle {\frac {1}{2}}\left|\sum _{i=1}^{n}(x_{i+1}-x_{i})(y_{i+1}+y_{i})\right|}"></span> <br /> (<a href="/w/index.php?title=%D0%A2%D1%80%D0%B0%D0%BF%D0%B5%D1%86%D0%B8%D1%8F%D0%BB%D0%B0%D0%BD%D1%8B_%D0%B0%D0%BC%D0%B0%D0%BB%D1%8B&action=edit&redlink=1" class="new" title="Трапецияланы амалы (быллай бет джокъду)">трапецияланы амалы</a>) </td> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle (x_{i};y_{i})}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">(</mo> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </msub> <mo>;</mo> <msub> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </msub> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle (x_{i};y_{i})}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ba0289cb64ddb2e27700bce27cb50adf3f10beee" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:6.912ex; height:2.843ex;" alt="{\displaystyle (x_{i};y_{i})}"></span> — кёбмюйюшню джитилерини координатлары, аланы джанлау мизамлары бла, ахыргъы биринчи бла джалгъанады: <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 (x_{n+1};y_{n+1})=(x_{1};y_{1})}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">(</mo> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> <mo>+</mo> <mn>1</mn> </mrow> </msub> <mo>;</mo> <msub> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> <mo>+</mo> <mn>1</mn> </mrow> </msub> <mo stretchy="false">)</mo> <mo>=</mo> <mo stretchy="false">(</mo> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>;</mo> <msub> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle (x_{n+1};y_{n+1})=(x_{1};y_{1})}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/94065e86e079b2935eb9b5d08cb0437b0a2386c7" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:22.469ex; height:2.843ex;" alt="{\displaystyle (x_{n+1};y_{n+1})=(x_{1};y_{1})}"></span>; тешиклериболса, аланы джанлауларыны сюремлери кёбмюйшню тыш чегинден джанлаууна къаршчыды турады </td></tr> <tr> <td>Кесича болгъан <a href="/w/index.php?title=%D0%9A%D1%91%D0%B1%D0%BC%D1%8E%D0%B9%D1%8E%D1%88&action=edit&redlink=1" class="new" title="Кёбмюйюш (быллай бет джокъду)">кёбмюйюш</a> (тышына бюгюлген эмда тышына бюгюлмеген) </td> <td>Кёбмюйшлени майданлыкъларын Саррону амалы бла тергеу<sup id="cite_ref-6" class="reference"><a href="#cite_note-6"><span class="cite-bracket">[</span>6<span class="cite-bracket">]</span></a></sup>. Аналитикалыкъ формуласы барды. </td> <td>Кёбмюйюшню джанларыны узунлугъу эмда джанланы азимут мюйюшлери берилгенди </td></tr></tbody></table> <div class="mw-heading mw-heading3"><h3 id="Тогъайны,_аны_кесеклерини,_ичи_бла_эмда_тышы_бла_тартылгъан_фигураланы_майданлыкълары"><span id=".D0.A2.D0.BE.D0.B3.D1.8A.D0.B0.D0.B9.D0.BD.D1.8B.2C_.D0.B0.D0.BD.D1.8B_.D0.BA.D0.B5.D1.81.D0.B5.D0.BA.D0.BB.D0.B5.D1.80.D0.B8.D0.BD.D0.B8.2C_.D0.B8.D1.87.D0.B8_.D0.B1.D0.BB.D0.B0_.D1.8D.D0.BC.D0.B4.D0.B0_.D1.82.D1.8B.D1.88.D1.8B_.D0.B1.D0.BB.D0.B0_.D1.82.D0.B0.D1.80.D1.82.D1.8B.D0.BB.D0.B3.D1.8A.D0.B0.D0.BD_.D1.84.D0.B8.D0.B3.D1.83.D1.80.D0.B0.D0.BB.D0.B0.D0.BD.D1.8B_.D0.BC.D0.B0.D0.B9.D0.B4.D0.B0.D0.BD.D0.BB.D1.8B.D0.BA.D1.8A.D0.BB.D0.B0.D1.80.D1.8B"></span>Тогъайны, аны кесеклерини, ичи бла эмда тышы бла тартылгъан фигураланы майданлыкълары</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%9C%D0%B0%D0%B9%D0%B4%D0%B0%D0%BD%D0%BB%D1%8B%D0%BA%D1%8A&veaction=edit&section=17" title="Тогъайны, аны кесеклерини, ичи бла эмда тышы бла тартылгъан фигураланы майданлыкълары бёлюмню тюрлендир" class="mw-editsection-visualeditor"><span>тюзет</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%9C%D0%B0%D0%B9%D0%B4%D0%B0%D0%BD%D0%BB%D1%8B%D0%BA%D1%8A&action=edit&section=17" title="Бёлюмню къайнакъ кодун тюзет: Тогъайны, аны кесеклерини, ичи бла эмда тышы бла тартылгъан фигураланы майданлыкълары"><span>къайнакъны тюзет</span></a><span class="mw-editsection-bracket">]</span></span></div> <table class="wikitable"> <tbody><tr> <th>Фигура </th> <th>Формула </th> <th>Тюрленмеле </th></tr> <tr> <td><a href="/w/index.php?title=%D0%A2%D0%BE%D0%B3%D1%8A%D0%B0%D0%B9&action=edit&redlink=1" class="new" title="Тогъай (быллай бет джокъду)">Тогъай</a> </td> <td style="text-align:center"><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 \pi r^{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>π</mi> <msup> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \pi r^{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/cd37db3982ad4e1157dcf8ddbfb280e7bae3b192" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.435ex; height:2.676ex;" alt="{\displaystyle \pi r^{2}}"></span> неда <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 {\pi d^{2}}{4}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>π</mi> <msup> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> <mn>4</mn> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {\pi d^{2}}{4}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ec02ef8d8f4112f5de22e75dfb28b9d7586f160e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:4.44ex; height:5.676ex;" alt="{\displaystyle {\frac {\pi d^{2}}{4}}}"></span> </td> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle r}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>r</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle r}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0d1ecb613aa2984f0576f70f86650b7c2a132538" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.049ex; height:1.676ex;" alt="{\displaystyle r}"></span> — радиус, <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 d}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>d</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle d}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e85ff03cbe0c7341af6b982e47e9f90d235c66ab" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.216ex; height:2.176ex;" alt="{\displaystyle d}"></span> — тогъайны <a href="/w/index.php?title=%D0%94%D0%B8%D0%B0%D0%BC%D0%B5%D1%82%D1%80&action=edit&redlink=1" class="new" title="Диаметр (быллай бет джокъду)">диаметри</a> </td></tr> <tr> <td><a href="/w/index.php?title=%D0%A2%D0%BE%D0%B3%D1%8A%D0%B0%D0%B9%D0%BD%D1%8B_%D1%81%D0%B5%D0%BA%D1%82%D0%BE%D1%80%D1%83&action=edit&redlink=1" class="new" title="Тогъайны сектору (быллай бет джокъду)">Тогъайны сектору</a> </td> <td style="text-align:center"><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 {\alpha r^{2}}{2}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>α</mi> <msup> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> <mn>2</mn> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {\alpha r^{2}}{2}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/72c9e315acc9f6f5aeb54c1343678dbc6cf39394" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:4.427ex; height:5.676ex;" alt="{\displaystyle {\frac {\alpha r^{2}}{2}}}"></span> </td> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle r}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>r</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle r}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0d1ecb613aa2984f0576f70f86650b7c2a132538" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.049ex; height:1.676ex;" alt="{\displaystyle r}"></span> — тогъайны райдиусу, <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 \alpha }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>α</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \alpha }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b79333175c8b3f0840bfb4ec41b8072c83ea88d3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.488ex; height:1.676ex;" alt="{\displaystyle \alpha }"></span> — секуторну ара мюйюшю (<a href="/w/index.php?title=%D0%A0%D0%B0%D0%B4%D0%B8%D0%B0%D0%BD&action=edit&redlink=1" class="new" title="Радиан (быллай бет джокъду)">радианлада</a>) </td></tr> <tr> <td><a href="/w/index.php?title=%D0%A2%D0%BE%D0%B3%D1%8A%D0%B0%D0%B9%D0%BD%D1%8B_%D1%81%D0%B5%D0%B3%D0%BC%D0%B5%D0%BD%D1%82%D0%B8&action=edit&redlink=1" class="new" title="Тогъайны сегменти (быллай бет джокъду)">Тогъайны сегменти</a> </td> <td style="text-align:center"><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 {r^{2}}{2}}(\alpha -\sin \alpha )}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msup> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mn>2</mn> </mfrac> </mrow> <mo stretchy="false">(</mo> <mi>α</mi> <mo>−</mo> <mi>sin</mi> <mo>⁡</mo> <mi>α</mi> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {r^{2}}{2}}(\alpha -\sin \alpha )}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/dfbec4b17c3a597085813c6d3ab6c1b0d22348ca" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:13.807ex; height:5.676ex;" alt="{\displaystyle {\frac {r^{2}}{2}}(\alpha -\sin \alpha )}"></span> </td> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle r}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>r</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle r}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0d1ecb613aa2984f0576f70f86650b7c2a132538" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.049ex; height:1.676ex;" alt="{\displaystyle r}"></span> — тогъайны радиусу, <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 \alpha }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>α</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \alpha }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b79333175c8b3f0840bfb4ec41b8072c83ea88d3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.488ex; height:1.676ex;" alt="{\displaystyle \alpha }"></span> — секуторну ара мюйюшю (<a href="/w/index.php?title=%D0%A0%D0%B0%D0%B4%D0%B8%D0%B0%D0%BD&action=edit&redlink=1" class="new" title="Радиан (быллай бет джокъду)">радианлада</a>) </td></tr> <tr> <td><a href="/w/index.php?title=%D0%AD%D0%BB%D0%BB%D0%B8%D0%BF%D1%81&action=edit&redlink=1" class="new" title="Эллипс (быллай бет джокъду)">Эллипс</a> </td> <td style="text-align:center"><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 \pi ab}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>π</mi> <mi>a</mi> <mi>b</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \pi ab}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e49e097530aa054f7782fc7de33b0a60418ff964" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.559ex; height:2.176ex;" alt="{\displaystyle \pi ab}"></span> </td> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ffd2487510aa438433a2579450ab2b3d557e5edc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.23ex; height:1.676ex;" alt="{\displaystyle 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 b}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>b</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle b}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f11423fbb2e967f986e36804a8ae4271734917c3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:0.998ex; height:2.176ex;" alt="{\displaystyle b}"></span> — эллипсни уллу эмда гитче джарымосу </td></tr> <tr> <td>Тёгерекни ичи бла тартылгъан ючмюйюш </td> <td style="text-align:center"><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 {abc}{4R}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>a</mi> <mi>b</mi> <mi>c</mi> </mrow> <mrow> <mn>4</mn> <mi>R</mi> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {abc}{4R}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/eb0d8922b6338ba6452dae1dacf129aa32e761a7" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:4.07ex; height:5.509ex;" alt="{\displaystyle {\frac {abc}{4R}}}"></span> </td> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ffd2487510aa438433a2579450ab2b3d557e5edc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.23ex; height:1.676ex;" alt="{\displaystyle 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 b}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>b</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle b}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f11423fbb2e967f986e36804a8ae4271734917c3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:0.998ex; height:2.176ex;" alt="{\displaystyle b}"></span> и <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 c}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>c</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle c}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/86a67b81c2de995bd608d5b2df50cd8cd7d92455" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.007ex; height:1.676ex;" alt="{\displaystyle c}"></span> — ючмюйюшню джанлары, <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle R}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>R</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle R}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4b0bfb3769bf24d80e15374dc37b0441e2616e33" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.764ex; height:2.176ex;" alt="{\displaystyle R}"></span> — тышы бла баргъан тёгерекни радиусу </td></tr> <tr> <td>Тогъайны ичи бла тартылгъан тёртюмюйш </td> <td style="text-align:center"><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 {(p-a)(p-b)(p-c)(p-d)}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mo stretchy="false">(</mo> <mi>p</mi> <mo>−</mo> <mi>a</mi> <mo stretchy="false">)</mo> <mo stretchy="false">(</mo> <mi>p</mi> <mo>−</mo> <mi>b</mi> <mo stretchy="false">)</mo> <mo stretchy="false">(</mo> <mi>p</mi> <mo>−</mo> <mi>c</mi> <mo stretchy="false">)</mo> <mo stretchy="false">(</mo> <mi>p</mi> <mo>−</mo> <mi>d</mi> <mo stretchy="false">)</mo> </msqrt> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\sqrt {(p-a)(p-b)(p-c)(p-d)}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/85f23ce46d32c0636129220d7f57883024df642f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:30.05ex; height:4.843ex;" alt="{\displaystyle {\sqrt {(p-a)(p-b)(p-c)(p-d)}}}"></span> <br /> (<a href="/w/index.php?title=%D0%91%D1%80%D0%B0%D1%85%D0%BC%D0%B0%D0%B3%D1%83%D0%BF%D1%82%D0%B0%D0%BD%D1%8B_%D1%84%D0%BE%D1%80%D0%BC%D1%83%D0%BB%D0%B0%D1%81%D1%8B&action=edit&redlink=1" class="new" title="Брахмагуптаны формуласы (быллай бет джокъду)">Брахмагуптаны формуласы</a>) </td> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ffd2487510aa438433a2579450ab2b3d557e5edc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.23ex; height:1.676ex;" alt="{\displaystyle 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 b}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>b</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle b}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f11423fbb2e967f986e36804a8ae4271734917c3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:0.998ex; height:2.176ex;" alt="{\displaystyle b}"></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 c}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>c</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle c}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/86a67b81c2de995bd608d5b2df50cd8cd7d92455" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.007ex; height:1.676ex;" alt="{\displaystyle c}"></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 d}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>d</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle d}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e85ff03cbe0c7341af6b982e47e9f90d235c66ab" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.216ex; height:2.176ex;" alt="{\displaystyle d}"></span> — тёртмюйюшню джанлары, <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 p}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>p</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle p}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/81eac1e205430d1f40810df36a0edffdc367af36" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; margin-left: -0.089ex; width:1.259ex; height:2.009ex;" alt="{\displaystyle p}"></span> — джарымпериметри </td></tr> <tr> <td>Тогъайдан узакъ болмай тартылгъан кёбмюйюш </td> <td style="text-align:center"><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 {1}{2}}Pr}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </mrow> <mi>P</mi> <mi>r</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {1}{2}}Pr}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/261ffa1a5e46f00bea9173740fc20f6536aa28ef" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:4.793ex; height:5.176ex;" alt="{\displaystyle {\frac {1}{2}}Pr}"></span> </td> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle r}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>r</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle r}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0d1ecb613aa2984f0576f70f86650b7c2a132538" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.049ex; height:1.676ex;" alt="{\displaystyle r}"></span> — тёгерекни радиусу, кёбмюйюшню ичи бла тартылгъанды, <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 P}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>P</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle P}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b4dc73bf40314945ff376bd363916a738548d40a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.745ex; height:2.176ex;" alt="{\displaystyle P}"></span> — кёбмюйюшню <a href="/w/index.php?title=%D0%9F%D0%B5%D1%80%D0%B8%D0%BC%D0%B5%D1%82%D1%80&action=edit&redlink=1" class="new" title="Периметр (быллай бет джокъду)">периметри</a> </td></tr> <tr> <td>Тёгерекни къатында тартылгъан тикмюйюш трапеция </td> <td style="text-align:center"><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}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> <mi>b</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle ab}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/49337c5cf256196e2292f7047cb5da68c24ca95d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.227ex; height:2.176ex;" alt="{\displaystyle ab}"></span> </td> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ffd2487510aa438433a2579450ab2b3d557e5edc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.23ex; height:1.676ex;" alt="{\displaystyle 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 b}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>b</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle b}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f11423fbb2e967f986e36804a8ae4271734917c3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:0.998ex; height:2.176ex;" alt="{\displaystyle b}"></span> — трапецияны тамаллары </td></tr></tbody></table> <div class="mw-heading mw-heading3"><h3 id="Затланы_аламда_юслерини_майданлыкълары"><span id=".D0.97.D0.B0.D1.82.D0.BB.D0.B0.D0.BD.D1.8B_.D0.B0.D0.BB.D0.B0.D0.BC.D0.B4.D0.B0_.D1.8E.D1.81.D0.BB.D0.B5.D1.80.D0.B8.D0.BD.D0.B8_.D0.BC.D0.B0.D0.B9.D0.B4.D0.B0.D0.BD.D0.BB.D1.8B.D0.BA.D1.8A.D0.BB.D0.B0.D1.80.D1.8B"></span>Затланы аламда юслерини майданлыкълары</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%9C%D0%B0%D0%B9%D0%B4%D0%B0%D0%BD%D0%BB%D1%8B%D0%BA%D1%8A&veaction=edit&section=18" title="Затланы аламда юслерини майданлыкълары бёлюмню тюрлендир" class="mw-editsection-visualeditor"><span>тюзет</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%9C%D0%B0%D0%B9%D0%B4%D0%B0%D0%BD%D0%BB%D1%8B%D0%BA%D1%8A&action=edit&section=18" title="Бёлюмню къайнакъ кодун тюзет: Затланы аламда юслерини майданлыкълары"><span>къайнакъны тюзет</span></a><span class="mw-editsection-bracket">]</span></span></div> <table class="wikitable"> <tbody><tr> <th>Зат </th> <th>Формула </th> <th>Тюрленмеле </th></tr> <tr> <td>Тюз тёгерек <a href="/w/index.php?title=%D0%A6%D0%B8%D0%BB%D0%B8%D0%BD%D0%B4%D1%80&action=edit&redlink=1" class="new" title="Цилиндр (быллай бет джокъду)">цилиндрни</a> толу юсю </td> <td style="text-align:center"><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 2\pi r(r+h)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>2</mn> <mi>π</mi> <mi>r</mi> <mo stretchy="false">(</mo> <mi>r</mi> <mo>+</mo> <mi>h</mi> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 2\pi r(r+h)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/540fd341370c845484ed38751872e27df0219682" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:10.58ex; height:2.843ex;" alt="{\displaystyle 2\pi r(r+h)}"></span> </td> <td rowspan="2"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle r}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>r</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle r}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0d1ecb613aa2984f0576f70f86650b7c2a132538" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.049ex; height:1.676ex;" alt="{\displaystyle r}"></span> и <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle h}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>h</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle h}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b26be3e694314bc90c3215047e4a2010c6ee184a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.339ex; height:2.176ex;" alt="{\displaystyle h}"></span> — радиусу эмда мийиклиги </td></tr> <tr> <td>Тюз тёгерек <a href="/w/index.php?title=%D0%A6%D0%B8%D0%BB%D0%B8%D0%BD%D0%B4%D1%80&action=edit&redlink=1" class="new" title="Цилиндр (быллай бет джокъду)">цилиндрни</a> къабыргъа юсю </td> <td style="text-align:center"><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 2\pi rh}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>2</mn> <mi>π</mi> <mi>r</mi> <mi>h</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 2\pi rh}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f07078e1d90c08fc9da0783148430ba17472d282" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:4.882ex; height:2.176ex;" alt="{\displaystyle 2\pi rh}"></span> </td></tr> <tr> <td>Тюз тёгерек <a href="/w/index.php?title=%D0%9A%D0%BE%D0%BD%D1%83%D1%81&action=edit&redlink=1" class="new" title="Конус (быллай бет джокъду)">конусну</a> толу юсю </td> <td style="text-align:center"><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 \pi r(l+r)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>π</mi> <mi>r</mi> <mo stretchy="false">(</mo> <mi>l</mi> <mo>+</mo> <mi>r</mi> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \pi r(l+r)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/19dfe019ab7c128951d3d3f9c1aa42bdb797f52c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:8.772ex; height:2.843ex;" alt="{\displaystyle \pi r(l+r)}"></span> </td> <td rowspan="2"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle r}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>r</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle r}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0d1ecb613aa2984f0576f70f86650b7c2a132538" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.049ex; height:1.676ex;" alt="{\displaystyle r}"></span> и <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle l}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>l</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle l}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/829091f745070b9eb97a80244129025440a1cfac" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:0.693ex; height:2.176ex;" alt="{\displaystyle l}"></span> — радиус эмда къабыргъа юсню къураучусу </td></tr> <tr> <td>Тюз тёгерек <a href="/w/index.php?title=%D0%9A%D0%BE%D0%BD%D1%83%D1%81&action=edit&redlink=1" class="new" title="Конус (быллай бет джокъду)">конусну</a> къабыргъа юсю </td> <td style="text-align:center"><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 \pi rl}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>π</mi> <mi>r</mi> <mi>l</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \pi rl}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/150bc25be0060c8e640e924e29242b9a1a8af64c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.074ex; height:2.176ex;" alt="{\displaystyle \pi rl}"></span> </td></tr> <tr> <td><a href="/w/index.php?title=%D0%A1%D1%84%D0%B5%D1%80%D0%B0&action=edit&redlink=1" class="new" title="Сфера (быллай бет джокъду)">Сфераны</a> юсю (<a href="/w/index.php?title=%D0%A2%D0%BE%D0%B1&action=edit&redlink=1" class="new" title="Тоб (быллай бет джокъду)">тобну</a>) </td> <td style="text-align:center"><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 4\pi r^{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>4</mn> <mi>π</mi> <msup> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 4\pi r^{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b81fcce302776a01dc66fc186a1ce0a616b4d772" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:4.597ex; height:2.676ex;" alt="{\displaystyle 4\pi r^{2}}"></span> или <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 \pi d^{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>π</mi> <msup> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \pi d^{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/336b3c3a4775ed154a7f7b1c0adbab673c6d1697" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.604ex; height:2.676ex;" alt="{\displaystyle \pi d^{2}}"></span> </td> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle r}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>r</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle r}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0d1ecb613aa2984f0576f70f86650b7c2a132538" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.049ex; height:1.676ex;" alt="{\displaystyle r}"></span> и <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 d}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>d</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle d}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e85ff03cbe0c7341af6b982e47e9f90d235c66ab" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.216ex; height:2.176ex;" alt="{\displaystyle d}"></span> — радиусу эмда диаметри </td></tr> <tr> <td>Тюз <a href="/w/index.php?title=%D0%9F%D1%80%D0%B8%D0%B7%D0%BC%D0%B0_(%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%8F)&action=edit&redlink=1" class="new" title="Призма (геометрия) (быллай бет джокъду)">призманы</a> къабыргъа юсю </td> <td style="text-align:center"><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 Ph}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>P</mi> <mi>h</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle Ph}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b29c8237595b7c59f6e45a9163b4c293da3fb359" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.084ex; height:2.176ex;" alt="{\displaystyle Ph}"></span> </td> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle P}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>P</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle P}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b4dc73bf40314945ff376bd363916a738548d40a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.745ex; height:2.176ex;" alt="{\displaystyle P}"></span> — тамалыны периметри, <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle h}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>h</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle h}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b26be3e694314bc90c3215047e4a2010c6ee184a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.339ex; height:2.176ex;" alt="{\displaystyle h}"></span> — мийиклиги </td></tr> <tr> <td>Кесича болгъан <a href="/w/index.php?title=%D0%9F%D1%80%D0%B8%D0%B7%D0%BC%D0%B0_(%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%8F)&action=edit&redlink=1" class="new" title="Призма (геометрия) (быллай бет джокъду)">призманы</a> толу юсю </td> <td style="text-align:center"><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 2A_{1}+A_{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>2</mn> <msub> <mi>A</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>+</mo> <msub> <mi>A</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 2A_{1}+A_{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/61551c191a081e01e900eaa3daaf6bcedb07191d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:9.598ex; height:2.509ex;" alt="{\displaystyle 2A_{1}+A_{2}}"></span> </td> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle A_{1}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>A</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle A_{1}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6bc2435b217c1a0f46f8a517ffa225c6f9440e81" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.797ex; height:2.509ex;" alt="{\displaystyle A_{1}}"></span> — тамалыны майданлыгъы <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle A_{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>A</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle A_{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3ec73b8bc9abc3efb934f5a6ec2803713771f4bc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.797ex; height:2.509ex;" alt="{\displaystyle A_{2}}"></span> — къабыргъа юсюню майданлыгъы </td></tr></tbody></table> <div class="mw-heading mw-heading2"><h2 id="Белгиле"><span id=".D0.91.D0.B5.D0.BB.D0.B3.D0.B8.D0.BB.D0.B5"></span>Белгиле</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%9C%D0%B0%D0%B9%D0%B4%D0%B0%D0%BD%D0%BB%D1%8B%D0%BA%D1%8A&veaction=edit&section=19" title="Белгиле бёлюмню тюрлендир" class="mw-editsection-visualeditor"><span>тюзет</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%9C%D0%B0%D0%B9%D0%B4%D0%B0%D0%BD%D0%BB%D1%8B%D0%BA%D1%8A&action=edit&section=19" title="Бёлюмню къайнакъ кодун тюзет: Белгиле"><span>къайнакъны тюзет</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="references-small" style="font-size:90%;"> <ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><a href="#cite_ref-1">↑</a></span> <span class="reference-text"> <a rel="nofollow" class="external text" href="http://leksika.com.ua/12260220/ure/ploscha">«Площа»</a> // <span class="citation no-wikidata" data-wikidata-property-id="P1343"><a href="/w/index.php?title=%D0%A3%D0%BA%D1%80%D0%B0%D1%97%D0%BD%D1%81%D1%8C%D0%BA%D0%B0_%D1%80%D0%B0%D0%B4%D1%8F%D0%BD%D1%81%D1%8C%D0%BA%D0%B0_%D0%B5%D0%BD%D1%86%D0%B8%D0%BA%D0%BB%D0%BE%D0%BF%D0%B5%D0%B4%D1%96%D1%8F&action=edit&redlink=1" class="new" title="Українська радянська енциклопедія (быллай бет джокъду)">Українська радянська енциклопедія</a> : у 12 т.. / гол. ред. <a href="/w/index.php?title=%D0%91%D0%B0%D0%B6%D0%B0%D0%BD_%D0%9C%D0%B8%D0%BA%D0%BE%D0%BB%D0%B0_%D0%9F%D0%BB%D0%B0%D1%82%D0%BE%D0%BD%D0%BE%D0%B2%D0%B8%D1%87&action=edit&redlink=1" class="new" title="Бажан Микола Платонович (быллай бет джокъду)">М. П. Бажан</a> ; редкол.: <a href="/w/index.php?title=%D0%90%D0%BD%D1%82%D0%BE%D0%BD%D0%BE%D0%B2_%D0%9E%D0%BB%D0%B5%D0%B3_%D0%9A%D0%BE%D1%81%D1%82%D1%8F%D0%BD%D1%82%D0%B8%D0%BD%D0%BE%D0%B2%D0%B8%D1%87&action=edit&redlink=1" class="new" title="Антонов Олег Костянтинович (быллай бет джокъду)">О. К. Антонов</a> та ін.. — Київ: <a href="/w/index.php?title=%D0%93%D0%BE%D0%BB%D0%BE%D0%B2%D0%BD%D0%B0_%D1%80%D0%B5%D0%B4%D0%B0%D0%BA%D1%86%D1%96%D1%8F_%D0%A3%D0%BA%D1%80%D0%B0%D1%97%D0%BD%D1%81%D1%8C%D0%BA%D0%BE%D1%97_%D1%80%D0%B0%D0%B4%D1%8F%D0%BD%D1%81%D1%8C%D0%BA%D0%BE%D1%97_%D0%B5%D0%BD%D1%86%D0%B8%D0%BA%D0%BB%D0%BE%D0%BF%D0%B5%D0%B4%D1%96%D1%97&action=edit&redlink=1" class="new" title="Головна редакція Української радянської енциклопедії (быллай бет джокъду)">Головна редакція УРЕ</a>, 1974–1985.</span></span> </li> <li id="cite_note-Геометрия—1966——7—13-2"><span class="mw-cite-backlink">↑ <sup><a href="#cite_ref-Геометрия—1966——7—13_2-0">2,0</a></sup> <sup><a href="#cite_ref-Геометрия—1966——7—13_2-1">2,1</a></sup></span> <span class="reference-text"><a href="#CITEREFГеометрия1966">Геометрия, 1966</a>, с. 7—13</span> </li> <li id="cite_note-mathenc-3"><span class="mw-cite-backlink">↑ <sup><a href="#cite_ref-mathenc_3-0">3,0</a></sup> <sup><a href="#cite_ref-mathenc_3-1">3,1</a></sup> <sup><a href="#cite_ref-mathenc_3-2">3,2</a></sup> <sup><a href="#cite_ref-mathenc_3-3">3,3</a></sup></span> <span class="error mw-ext-cite-error" lang="krc" dir="ltr">Цитата этиуде халат: Неверный тег <code><ref></code>; для сносок <code>mathenc</code> не указан текст</span></li> <li id="cite_note-4"><span class="mw-cite-backlink"><a href="#cite_ref-4">↑</a></span> <span class="reference-text"><span class="citation no-wikidata" data-wikidata-property-id="P1343"><i><a href="/w/index.php?title=%D0%A4%D0%B8%D1%85%D1%82%D0%B5%D0%BD%D0%B3%D0%BE%D0%BB%D1%8C%D1%86,_%D0%93%D1%80%D0%B8%D0%B3%D0%BE%D1%80%D0%B8%D0%B9_%D0%9C%D0%B8%D1%85%D0%B0%D0%B9%D0%BB%D0%BE%D0%B2%D0%B8%D1%87&action=edit&redlink=1" class="new" title="Фихтенгольц, Григорий Михайлович (быллай бет джокъду)">Фихтенгольц Г. М.</a></i> Курс дифференциального и интегрального исчисления. — Изд. 6-е. — <span style="border-bottom:1px dotted gray; cursor:default" title="Москва">М</span>.: ФИЗМАТЛИТ, 1966. — Т. 2. — Б. 186—224. — 800 б.</span></span> </li> <li id="cite_note-kvant-5"><span class="mw-cite-backlink"><a href="#cite_ref-kvant_5-0">↑</a></span> <span class="reference-text"><i>Болтянский В.</i> <a rel="nofollow" class="external text" href="http://kvant.mccme.ru/1977/05/o_ponyatiyah_ploshchadi_i_obem.htm">О понятиях площади и объёма.</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20170505023703/http://kvant.mccme.ru/1977/05/o_ponyatiyah_ploshchadi_i_obem.htm">Архивная копия</a> от 5 май 2017 на <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a> <a href="/w/index.php?title=%D0%9A%D0%B2%D0%B0%D0%BD%D1%82_(%D0%B6%D1%83%D1%80%D0%BD%D0%B0%D0%BB)&action=edit&redlink=1" class="new" title="Квант (журнал) (быллай бет джокъду)">Квант</a>, № 5, 1977, c.2—9</span> </li> <li id="cite_note-6"><span class="mw-cite-backlink"><a href="#cite_ref-6">↑</a></span> <span class="reference-text">Хренов Л. С. Вычисление площадей многоугольников по способу Саррона// Матем. просвещение. 1936. Выпуск 6. С. 12-15</span> </li> </ol> </div> <div class="mw-heading mw-heading2"><h2 id="Литература"><span id=".D0.9B.D0.B8.D1.82.D0.B5.D1.80.D0.B0.D1.82.D1.83.D1.80.D0.B0"></span>Литература</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%9C%D0%B0%D0%B9%D0%B4%D0%B0%D0%BD%D0%BB%D1%8B%D0%BA%D1%8A&veaction=edit&section=20" title="Литература бёлюмню тюрлендир" class="mw-editsection-visualeditor"><span>тюзет</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%9C%D0%B0%D0%B9%D0%B4%D0%B0%D0%BD%D0%BB%D1%8B%D0%BA%D1%8A&action=edit&section=20" title="Бёлюмню къайнакъ кодун тюзет: Литература"><span>къайнакъны тюзет</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><span class="citation no-wikidata" data-wikidata-property-id="P1343" id="CITEREFГеометрия1966"><a rel="nofollow" class="external text" href="http://ilib.mccme.ru/djvu/encikl/enc-el-5.htm">Энциклопедия элементарной математики. Книга пятая. Геометрия</a> / под редакцией <a href="/w/index.php?title=%D0%90%D0%BB%D0%B5%D0%BA%D1%81%D0%B0%D0%BD%D0%B4%D1%80%D0%BE%D0%B2,_%D0%9F%D0%B0%D0%B2%D0%B5%D0%BB_%D0%A1%D0%B5%D1%80%D0%B3%D0%B5%D0%B5%D0%B2%D0%B8%D1%87&action=edit&redlink=1" class="new" title="Александров, Павел Сергеевич (быллай бет джокъду)">П. С. Александрова</a>, А. И. Маркушевича и А. Я. Хинчина. — <span style="border-bottom:1px dotted gray; cursor:default" title="Москва">М</span>.: Наука, 1966. — 624 б.</span><span class="ref-info" title="орусча" style="font-size:85%; cursor:help; margin-left:0.2em; color:#888;">(орус.)</span></li> <li><i>Рашевский П. К.</i> Риманова геометрия и тензорный анализ. Изд. 3-е, М.: Наука, 1967.<span class="ref-info" title="орусча" style="font-size:85%; cursor:help; margin-left:0.2em; color:#888;">(орус.)</span></li> <li><span class="citation no-wikidata" data-wikidata-property-id="P1343"><i><a href="/w/index.php?title=%D0%A4%D0%B8%D1%85%D1%82%D0%B5%D0%BD%D0%B3%D0%BE%D0%BB%D1%8C%D1%86,_%D0%93%D1%80%D0%B8%D0%B3%D0%BE%D1%80%D0%B8%D0%B9_%D0%9C%D0%B8%D1%85%D0%B0%D0%B9%D0%BB%D0%BE%D0%B2%D0%B8%D1%87&action=edit&redlink=1" class="new" title="Фихтенгольц, Григорий Михайлович (быллай бет джокъду)">Фихтенгольц Г. М.</a></i> Курс дифференциального и интегрального исчисления. — <span style="border-bottom:1px dotted gray; cursor:default" title="Москва">М</span>.: ФИЗМАТЛИТ, 1960. — Т. 2. — 680 б. — <a href="/wiki/%D0%9A%D1%8A%D1%83%D0%BB%D0%BB%D1%83%D0%BA%D1%8A:%D0%9A%D0%B8%D1%82%D0%B0%D0%B1%D0%BB%D0%B0%D0%BD%D1%8B_%D0%BA%D1%8A%D0%B0%D0%B9%D0%BD%D0%B0%D0%BA%D1%8A%D0%BB%D0%B0%D1%80%D1%8B/5922101552" class="internal mw-magiclink-isbn">ISBN 5-9221-0155-2</a>.</span><span class="ref-info" title="орусча" style="font-size:85%; cursor:help; margin-left:0.2em; color:#888;">(орус.)</span></li> <li><span class="citation no-wikidata" data-wikidata-property-id="P1343" id="CITEREFИстория_математики,_т._I1970">История математики: в 3 т / под редакцией <a href="/w/index.php?title=%D0%AE%D1%88%D0%BA%D0%B5%D0%B2%D0%B8%D1%87,_%D0%90%D0%B4%D0%BE%D0%BB%D1%8C%D1%84_%D0%9F%D0%B0%D0%B2%D0%BB%D0%BE%D0%B2%D0%B8%D1%87&action=edit&redlink=1" class="new" title="Юшкевич, Адольф Павлович (быллай бет джокъду)">А. П. Юшкевича</a>. — <span style="border-bottom:1px dotted gray; cursor:default" title="Москва">М</span>.: Наука, 1970. — Т. I: С древнейших времён до начала Нового времени.</span><span class="ref-info" title="орусча" style="font-size:85%; cursor:help; margin-left:0.2em; color:#888;">(орус.)</span></li> <li><span class="citation no-wikidata" data-wikidata-property-id="P1343" id="CITEREFИстория_математики,_т._II1970">История математики: в 3 т / под редакцией А. П. Юшкевича. — <span style="border-bottom:1px dotted gray; cursor:default" title="Москва">М</span>.: Наука, 1970. — Т. II: Математика XVII столетия.</span><span class="ref-info" title="орусча" style="font-size:85%; cursor:help; margin-left:0.2em; color:#888;">(орус.)</span></li> <li><span class="citation no-wikidata" data-wikidata-property-id="P1343" id="CITEREFBoyer_&_Merzbach2010"><i>Boyer C. B., Merzbach U. C.</i> <a rel="nofollow" class="external text" href="https://books.google.ca/books?id=BokVHiuIk9UC&source=gbs_navlinks_s">A History of Mathematics</a>. — John Wiley & Sons, 2010. — 640 p.</span> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20190709130802/https://books.google.ca/books?id=BokVHiuIk9UC&source=gbs_navlinks_s">Архивная копия</a> от 9 июль 2019 на <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a><span class="ref-info" title="ингилизча" style="font-size:85%; cursor:help; margin-left:0.2em; color:#888;">(ингил.)</span></li></ul>    </div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?useformat=desktop&type=1x1&usesul3=0" alt="" width="1" height="1" style="border: none; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">Чыкъгъаны — «<a dir="ltr" href="https://krc.wikipedia.org/w/index.php?title=Майданлыкъ&oldid=113416">https://krc.wikipedia.org/w/index.php?title=Майданлыкъ&oldid=113416</a>»</div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a href="/wiki/%D0%9A%D1%8A%D1%83%D0%BB%D0%BB%D1%83%D0%BA%D1%8A:%D0%9A%D0%B0%D1%82%D0%B5%D0%B3%D0%BE%D1%80%D0%B8%D1%8F%D0%BB%D0%B0" title="Къуллукъ:Категорияла">Категорияла</a>: <ul><li><a href="/w/index.php?title=%D0%9A%D0%B0%D1%82%D0%B5%D0%B3%D0%BE%D1%80%D0%B8%D1%8F:%D0%A1%D1%82%D1%80%D0%B0%D0%BD%D0%B8%D1%86%D1%8B_%D1%81_%D0%BE%D1%88%D0%B8%D0%B1%D0%BA%D0%B0%D0%BC%D0%B8_%D0%B2_%D0%BF%D1%80%D0%B8%D0%BC%D0%B5%D1%87%D0%B0%D0%BD%D0%B8%D1%8F%D1%85&action=edit&redlink=1" class="new" title="Категория:Страницы с ошибками в примечаниях (быллай бет джокъду)">Страницы с ошибками в примечаниях</a></li><li><a href="/w/index.php?title=%D0%9A%D0%B0%D1%82%D0%B5%D0%B3%D0%BE%D1%80%D0%B8%D1%8F:%D0%A8%D0%B0%D0%B1%D0%BB%D0%BE%D0%BD_%D1%87%D0%B0%D0%BA%D1%8A%D1%8B%D1%80%D1%8B%D1%83%D0%BB%D0%B0%D0%B4%D0%B0_%D0%B4%D1%83%D0%B1%D0%BB%D0%B8%D0%BA%D0%B0%D1%82_%D1%87%D1%83%D1%80%D1%83%D0%BC%D0%BB%D0%B0%D0%BD%D1%8B_%D1%85%D0%B0%D0%B9%D1%8B%D1%80%D0%BB%D0%B0%D0%BD%D0%BD%D0%B3%D0%B0%D0%BD_%D0%B1%D0%B5%D1%82%D0%BB%D0%B5&action=edit&redlink=1" class="new" title="Категория:Шаблон чакъырыулада дубликат чурумланы хайырланнган бетле (быллай бет джокъду)">Шаблон чакъырыулада дубликат чурумланы хайырланнган бетле</a></li><li><a href="/wiki/%D0%9A%D0%B0%D1%82%D0%B5%D0%B3%D0%BE%D1%80%D0%B8%D1%8F:%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0" title="Категория:Математика">Математика</a></li><li><a href="/wiki/%D0%9A%D0%B0%D1%82%D0%B5%D0%B3%D0%BE%D1%80%D0%B8%D1%8F:%D0%81%D0%BB%D1%87%D0%B5%D0%BB%D0%B5%D1%83_%D0%B1%D0%B8%D1%80%D0%B8%D0%BC%D0%BB%D0%B5" title="Категория:Ёлчелеу биримле">Ёлчелеу биримле</a></li><li><a href="/wiki/%D0%9A%D0%B0%D1%82%D0%B5%D0%B3%D0%BE%D1%80%D0%B8%D1%8F:%D0%A4%D0%B8%D0%B7%D0%B8%D0%BA%D0%B0%D0%BB%D1%8B%D0%BA%D1%8A_%D1%83%D0%BB%D0%BB%D1%83%D0%BB%D1%83%D0%BA%D1%8A%D0%BB%D0%B0" title="Категория:Физикалыкъ уллулукъла">Физикалыкъ уллулукъла</a></li><li><a href="/wiki/%D0%9A%D0%B0%D1%82%D0%B5%D0%B3%D0%BE%D1%80%D0%B8%D1%8F:ISBN_%D1%82%D0%B0%D0%BC%D0%B0%D1%88%D0%B0_%D0%B4%D0%B6%D0%B8%D0%B1%D0%B5%D1%80%D0%B8%D1%83%D0%BD%D1%8E_%D1%85%D0%B0%D0%B9%D1%8B%D1%80%D0%BB%D0%B0%D0%BD%D0%BD%D0%B3%D0%B0%D0%BD_%D0%B1%D0%B5%D1%82%D0%BB%D0%B5" title="Категория:ISBN тамаша джибериуню хайырланнган бетле">ISBN тамаша джибериуню хайырланнган бетле</a></li></ul></div></div> </div> </main> </div> <div class="mw-footer-container"> <footer id="footer" class="mw-footer" > <ul id="footer-info"> <li id="footer-info-lastmod"> Бу бетни ахыр тюрленнгени: 17:53, 4 январь 2025.</li> <li id="footer-info-copyright">Текст <a rel="nofollow" class="external text" href="http://creativecommons.org/licenses/by-sa/4.0/">Creative Commons Attribution/Share-Alike</a> лицензияны шартларында ачылады, бир-бирде къошакъ шартла да болургъа боллукъдула. 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