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class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="https://donate.wikimedia.org/?wmf_source=donate&wmf_medium=sidebar&wmf_campaign=km.wikipedia.org&uselang=km" class=""><span>បរិច្ចាគ</span></a> </li> <li id="pt-createaccount-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=%E1%9E%96%E1%9E%B7%E1%9E%9F%E1%9F%81%E1%9E%9F:%E1%9E%94%E1%9E%84%E1%9F%92%E1%9E%80%E1%9E%BE%E1%9E%8F%E1%9E%82%E1%9E%8E%E1%9E%93%E1%9E%B8&returnto=%E1%9E%A2%E1%9F%8A%E1%9E%B8%E1%9E%96%E1%9F%82%E1%9E%94%E1%9E%BC%E1%9E%9B" title="អ្នកត្រូវបានលើកទឹកចិត្តបង្កើតគណនីនិងកត់ឈ្មោះចូល។ ប៉ុន្តែនេះមិនមែនជាការបង្ខំទេ។" class=""><span>បង្កើតគណនី</span></a> </li> <li id="pt-login-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=%E1%9E%96%E1%9E%B7%E1%9E%9F%E1%9F%81%E1%9E%9F:%E1%9E%80%E1%9E%B6%E1%9E%9A%E1%9E%80%E1%9E%8F%E1%9F%8B%E1%9E%88%E1%9F%92%E1%9E%98%E1%9F%84%E1%9F%87%E1%9E%85%E1%9E%BC%E1%9E%9B%E1%9E%9A%E1%9E%94%E1%9E%9F%E1%9F%8B%E1%9E%A2%E1%9F%92%E1%9E%93%E1%9E%80%E1%9E%94%E1%9F%92%E1%9E%9A%E1%9E%BE%E1%9E%94%E1%9F%92%E1%9E%9A%E1%9E%B6%E1%9E%9F%E1%9F%8B&returnto=%E1%9E%A2%E1%9F%8A%E1%9E%B8%E1%9E%96%E1%9F%82%E1%9E%94%E1%9E%BC%E1%9E%9B" title="អ្នកត្រូវបានលើកទឹកចិត្តឱ្យកត់ឈ្មោះចូល។ ប៉ុន្តែនេះមិនមែនជាការបង្ខំទេ។ [o]" accesskey="o" class=""><span>កត់ឈ្មោះចូល</span></a> </li> </ul> </div> </div> </div> <div id="vector-user-links-dropdown" class="vector-dropdown vector-user-menu vector-button-flush-right vector-user-menu-logged-out" title="ជម្រើសផ្សេងទៀត" > <input type="checkbox" id="vector-user-links-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-user-links-dropdown" class="vector-dropdown-checkbox " aria-label="ឧបករណ៍ផ្ទាល់ខ្លួន" > <label id="vector-user-links-dropdown-label" for="vector-user-links-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-ellipsis mw-ui-icon-wikimedia-ellipsis"></span> <span class="vector-dropdown-label-text">ឧបករណ៍ផ្ទាល់ខ្លួន</span> </label> <div class="vector-dropdown-content"> <div id="p-personal" class="vector-menu mw-portlet mw-portlet-personal user-links-collapsible-item" title="បញ្ជីសម្រាប់អ្នកប្រើប្រាស់" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport" class="user-links-collapsible-item mw-list-item"><a href="https://donate.wikimedia.org/?wmf_source=donate&wmf_medium=sidebar&wmf_campaign=km.wikipedia.org&uselang=km"><span>បរិច្ចាគ</span></a></li><li id="pt-createaccount" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=%E1%9E%96%E1%9E%B7%E1%9E%9F%E1%9F%81%E1%9E%9F:%E1%9E%94%E1%9E%84%E1%9F%92%E1%9E%80%E1%9E%BE%E1%9E%8F%E1%9E%82%E1%9E%8E%E1%9E%93%E1%9E%B8&returnto=%E1%9E%A2%E1%9F%8A%E1%9E%B8%E1%9E%96%E1%9F%82%E1%9E%94%E1%9E%BC%E1%9E%9B" title="អ្នកត្រូវបានលើកទឹកចិត្តបង្កើតគណនីនិងកត់ឈ្មោះចូល។ ប៉ុន្តែនេះមិនមែនជាការបង្ខំទេ។"><span class="vector-icon mw-ui-icon-userAdd mw-ui-icon-wikimedia-userAdd"></span> <span>បង្កើតគណនី</span></a></li><li id="pt-login" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=%E1%9E%96%E1%9E%B7%E1%9E%9F%E1%9F%81%E1%9E%9F:%E1%9E%80%E1%9E%B6%E1%9E%9A%E1%9E%80%E1%9E%8F%E1%9F%8B%E1%9E%88%E1%9F%92%E1%9E%98%E1%9F%84%E1%9F%87%E1%9E%85%E1%9E%BC%E1%9E%9B%E1%9E%9A%E1%9E%94%E1%9E%9F%E1%9F%8B%E1%9E%A2%E1%9F%92%E1%9E%93%E1%9E%80%E1%9E%94%E1%9F%92%E1%9E%9A%E1%9E%BE%E1%9E%94%E1%9F%92%E1%9E%9A%E1%9E%B6%E1%9E%9F%E1%9F%8B&returnto=%E1%9E%A2%E1%9F%8A%E1%9E%B8%E1%9E%96%E1%9F%82%E1%9E%94%E1%9E%BC%E1%9E%9B" title="អ្នកត្រូវបានលើកទឹកចិត្តឱ្យកត់ឈ្មោះចូល។ ប៉ុន្តែនេះមិនមែនជាការបង្ខំទេ។ [o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>កត់ឈ្មោះចូល</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"> ទំព័រសម្រាប់អ្នកកែសម្រួលដែលបានកត់ឈ្មោះចេញ <a href="/wiki/%E1%9E%87%E1%9F%86%E1%9E%93%E1%9E%BD%E1%9E%99:Introduction" aria-label="ស្វែងយល់បន្ថែមអំពីការកែសម្រួល"><span>ស្វែងយល់បន្ថែម</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/%E1%9E%96%E1%9E%B7%E1%9E%9F%E1%9F%81%E1%9E%9F:%E1%9E%80%E1%9E%B6%E1%9E%9A%E1%9E%9A%E1%9E%BD%E1%9E%98%E1%9E%85%E1%9F%86%E1%9E%8E%E1%9F%82%E1%9E%80%E1%9E%9A%E1%9E%94%E1%9E%9F%E1%9F%8B%E1%9E%81%E1%9F%92%E1%9E%89%E1%9E%BB%E1%9F%86" title="បញ្ជីកំណែប្រែធ្វើឡើងពីអាសយដ្ឋាន IP នេះ [y]" accesskey="y"><span>ការរួមចំណែក</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/%E1%9E%96%E1%9E%B7%E1%9E%9F%E1%9F%81%E1%9E%9F:%E1%9E%80%E1%9E%B6%E1%9E%9A%E1%9E%96%E1%9E%B7%E1%9E%97%E1%9E%B6%E1%9E%80%E1%9F%92%E1%9E%9F%E1%9E%B6%E1%9E%9A%E1%9E%94%E1%9E%9F%E1%9F%8B%E1%9E%81%E1%9F%92%E1%9E%89%E1%9E%BB%E1%9F%86" title="ការពិភាក្សាអំពីកំណែប្រែដែលធ្វើឡើងចេញពីអាសយដ្ឋាន IP នេះ [n]" accesskey="n"><span>ការពិភាក្សា</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 id="mw-dismissablenotice-anonplace"></div><script>(function(){var node=document.getElementById("mw-dismissablenotice-anonplace");if(node){node.outerHTML="\u003Cdiv class=\"mw-dismissable-notice\"\u003E\u003Cdiv class=\"mw-dismissable-notice-close\"\u003E[\u003Ca tabindex=\"0\" role=\"button\"\u003Eលាក់\u003C/a\u003E]\u003C/div\u003E\u003Cdiv 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class=\"center\"\u003E\n\u003Cp\u003E\u003Csmall\u003E\n\u003Ca rel=\"nofollow\" class=\"external text\" href=\"https://facebook.com/kmwp.fb\"\u003EFB Fan Page\u003C/a\u003E |\n\u003Ca rel=\"nofollow\" class=\"external text\" href=\"https://twitter.com/KhmerWikipedia\"\u003ETwitter\u003C/a\u003E |\n\u003Ca class=\"external text\" href=\"https://lists.wikimedia.org/mailman/listinfo/wikimedia-kh\"\u003EMailing List\u003C/a\u003E\u003C/small\u003E\n\u003C/p\u003E\n\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E";}}());</script></div> </div> <div class="vector-column-start"> <div class="vector-main-menu-container"> <div id="mw-navigation"> <nav id="mw-panel" class="vector-main-menu-landmark" aria-label="Site"> <div id="vector-main-menu-pinned-container" class="vector-pinned-container"> </div> </nav> </div> </div> <div class="vector-sticky-pinned-container"> <nav id="mw-panel-toc" aria-label="មាតិកា" 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">មាតិកា</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">ប្ដូរទីតាំងទៅរបារចំហៀង</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">លាក់</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">ក្បាលទំព័រ</div> </a> </li> <li 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<a class="vector-toc-link" href="#ទំរង់ទូទៅសមីការអ៊ីពែបូល"> <div class="vector-toc-text"> <span class="vector-toc-numb">៣</span> <span>ទំរង់ទូទៅសមីការអ៊ីពែបូល</span> </div> </a> <ul id="toc-ទំរង់ទូទៅសមីការអ៊ីពែបូល-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-សមីការអ៊ីពែបូលដែលមានផ្ចិតស្ថិតនៅចំគល់អ័ក្ស" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#សមីការអ៊ីពែបូលដែលមានផ្ចិតស្ថិតនៅចំគល់អ័ក្ស"> <div class="vector-toc-text"> <span class="vector-toc-numb">៤</span> <span>សមីការអ៊ីពែបូលដែលមានផ្ចិតស្ថិតនៅចំគល់អ័ក្ស</span> </div> </a> <ul id="toc-សមីការអ៊ីពែបូលដែលមានផ្ចិតស្ថិតនៅចំគល់អ័ក្ស-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="មាតិកា" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="Toggle the table of contents" > <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">Toggle the table of contents</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">អ៊ីពែបូល</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="Go to an article in another language. Available in ៧៤ languages" > <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-74" 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">៧៤ ភាសា</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/Hiperbool" title="Hiperbool – អាហ្វ្រិកាន" lang="af" hreflang="af" data-title="Hiperbool" data-language-autonym="Afrikaans" data-language-local-name="អាហ្វ្រិកាន" class="interlanguage-link-target"><span>Afrikaans</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D9%82%D8%B7%D8%B9_%D8%B2%D8%A7%D8%A6%D8%AF" title="قطع زائد – អារ៉ាប់" lang="ar" hreflang="ar" data-title="قطع زائد" data-language-autonym="العربية" data-language-local-name="អារ៉ាប់" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://ast.wikipedia.org/wiki/Hip%C3%A9rbola" title="Hipérbola – អាស្ទូរី" lang="ast" hreflang="ast" data-title="Hipérbola" data-language-autonym="Asturianu" data-language-local-name="អាស្ទូរី" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/Hiperbola_(riyaziyyat)" title="Hiperbola (riyaziyyat) – អាស៊ែបៃហ្សង់" lang="az" hreflang="az" data-title="Hiperbola (riyaziyyat)" data-language-autonym="Azərbaycanca" data-language-local-name="អាស៊ែបៃហ្សង់" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-ba mw-list-item"><a href="https://ba.wikipedia.org/wiki/%D0%93%D0%B8%D0%BF%D0%B5%D1%80%D0%B1%D0%BE%D0%BB%D0%B0_(%D0%BC%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0)" title="Гипербола (математика) – បាស្គៀ" lang="ba" hreflang="ba" data-title="Гипербола (математика)" data-language-autonym="Башҡортса" data-language-local-name="បាស្គៀ" class="interlanguage-link-target"><span>Башҡортса</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%93%D1%96%D0%BF%D0%B5%D1%80%D0%B1%D0%B0%D0%BB%D0%B0_(%D0%BC%D0%B0%D1%82%D1%8D%D0%BC%D0%B0%D1%82%D1%8B%D0%BA%D0%B0)" title="Гіпербала (матэматыка) – បេឡារុស" lang="be" hreflang="be" data-title="Гіпербала (матэматыка)" data-language-autonym="Беларуская" data-language-local-name="បេឡារុស" 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%93%D1%96%D0%BF%D1%8D%D1%80%D0%B1%D0%B0%D0%BB%D0%B0_(%D0%B3%D0%B5%D0%B0%D0%BC%D1%8D%D1%82%D1%80%D1%8B%D1%8F)" title="Гіпэрбала (геамэтрыя) – Belarusian (Taraškievica orthography)" lang="be-tarask" hreflang="be-tarask" data-title="Гіпэрбала (геамэтрыя)" data-language-autonym="Беларуская (тарашкевіца)" data-language-local-name="Belarusian (Taraškievica orthography)" class="interlanguage-link-target"><span>Беларуская (тарашкевіца)</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%A5%D0%B8%D0%BF%D0%B5%D1%80%D0%B1%D0%BE%D0%BB%D0%B0" title="Хипербола – ប៊ុលហ្ការី" lang="bg" hreflang="bg" data-title="Хипербола" data-language-autonym="Български" data-language-local-name="ប៊ុលហ្ការី" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%85%E0%A6%A7%E0%A6%BF%E0%A6%AC%E0%A7%83%E0%A6%A4%E0%A7%8D%E0%A6%A4" title="অধিবৃত্ত – បង់ក្លាដែស" lang="bn" hreflang="bn" data-title="অধিবৃত্ত" data-language-autonym="বাংলা" data-language-local-name="បង់ក្លាដែស" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Hiperbola" title="Hiperbola – បូស្នី" lang="bs" hreflang="bs" data-title="Hiperbola" data-language-autonym="Bosanski" data-language-local-name="បូស្នី" class="interlanguage-link-target"><span>Bosanski</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Hip%C3%A8rbola" title="Hipèrbola – កាតាឡាន" lang="ca" hreflang="ca" data-title="Hipèrbola" data-language-autonym="Català" data-language-local-name="កាតាឡាន" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%D8%A8%DA%95%DA%AF%DB%95%DB%8C_%D8%B2%DB%8C%D8%A7%D8%AF" title="بڕگەی زیاد – ឃើដភាគកណ្តាល" lang="ckb" hreflang="ckb" data-title="بڕگەی زیاد" data-language-autonym="کوردی" data-language-local-name="ឃើដភាគកណ្តាល" 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/Hyperbola" title="Hyperbola – ឆែក" lang="cs" hreflang="cs" data-title="Hyperbola" data-language-autonym="Čeština" data-language-local-name="ឆែក" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%93%D0%B8%D0%BF%D0%B5%D1%80%D0%B1%D0%BE%D0%BB%D0%B0_(%D0%BC%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0)" title="Гипербола (математика) – ឈូវ៉ាស" lang="cv" hreflang="cv" data-title="Гипербола (математика)" data-language-autonym="Чӑвашла" data-language-local-name="ឈូវ៉ាស" 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/Hyperbola" title="Hyperbola – វេល" lang="cy" hreflang="cy" data-title="Hyperbola" data-language-autonym="Cymraeg" data-language-local-name="វេល" 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/Hyperbel" title="Hyperbel – ដាណឺម៉ាក" lang="da" hreflang="da" data-title="Hyperbel" data-language-autonym="Dansk" data-language-local-name="ដាណឺម៉ាក" 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/Hyperbel_(Mathematik)" title="Hyperbel (Mathematik) – អាល្លឺម៉ង់" lang="de" hreflang="de" data-title="Hyperbel (Mathematik)" data-language-autonym="Deutsch" data-language-local-name="អាល្លឺម៉ង់" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%A5%CF%80%CE%B5%CF%81%CE%B2%CE%BF%CE%BB%CE%AE_(%CE%B3%CE%B5%CF%89%CE%BC%CE%B5%CF%84%CF%81%CE%AF%CE%B1)" title="Υπερβολή (γεωμετρία) – ក្រិក" lang="el" hreflang="el" data-title="Υπερβολή (γεωμετρία)" data-language-autonym="Ελληνικά" data-language-local-name="ក្រិក" 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/Hyperbola" title="Hyperbola – អង់គ្លេស" lang="en" hreflang="en" data-title="Hyperbola" data-language-autonym="English" data-language-local-name="អង់គ្លេស" 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/Hiperbolo" title="Hiperbolo – អេស្ពេរ៉ាន់តូ" lang="eo" hreflang="eo" data-title="Hiperbolo" data-language-autonym="Esperanto" data-language-local-name="អេស្ពេរ៉ាន់តូ" 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/Hip%C3%A9rbola" title="Hipérbola – អេស្ប៉ាញ" lang="es" hreflang="es" data-title="Hipérbola" data-language-autonym="Español" data-language-local-name="អេស្ប៉ាញ" 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/H%C3%BCperbool" title="Hüperbool – អេស្តូនី" lang="et" hreflang="et" data-title="Hüperbool" data-language-autonym="Eesti" data-language-local-name="អេស្តូនី" 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/Hiperbola" title="Hiperbola – បាសខ៍" lang="eu" hreflang="eu" data-title="Hiperbola" data-language-autonym="Euskara" data-language-local-name="បាសខ៍" 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%87%D8%B0%D9%84%D9%88%D9%84%DB%8C" title="هذلولی – ភឺសៀន" lang="fa" hreflang="fa" data-title="هذلولی" data-language-autonym="فارسی" data-language-local-name="ភឺសៀន" 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/Hyperbeli" title="Hyperbeli – ហ្វាំងឡង់" lang="fi" hreflang="fi" data-title="Hyperbeli" data-language-autonym="Suomi" data-language-local-name="ហ្វាំងឡង់" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Hyperbole_(math%C3%A9matiques)" title="Hyperbole (mathématiques) – បារាំង" lang="fr" hreflang="fr" data-title="Hyperbole (mathématiques)" data-language-autonym="Français" data-language-local-name="បារាំង" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://ga.wikipedia.org/wiki/Hipearb%C3%B3il" title="Hipearbóil – អៀរឡង់" lang="ga" hreflang="ga" data-title="Hipearbóil" data-language-autonym="Gaeilge" data-language-local-name="អៀរឡង់" class="interlanguage-link-target"><span>Gaeilge</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Hip%C3%A9rbole_(xeometr%C3%ADa)" title="Hipérbole (xeometría) – ហ្កាលីស្យាន" lang="gl" hreflang="gl" data-title="Hipérbole (xeometría)" data-language-autonym="Galego" data-language-local-name="ហ្កាលីស្យាន" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%94%D7%99%D7%A4%D7%A8%D7%91%D7%95%D7%9C%D7%94" title="היפרבולה – ហេប្រឺ" lang="he" hreflang="he" data-title="היפרבולה" data-language-autonym="עברית" data-language-local-name="ហេប្រឺ" 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%85%E0%A4%A4%E0%A4%BF_%E0%A4%AA%E0%A4%B0%E0%A4%B5%E0%A4%B2%E0%A4%AF" title="अति परवलय – ហិណ្ឌី" lang="hi" hreflang="hi" data-title="अति परवलय" data-language-autonym="हिन्दी" data-language-local-name="ហិណ្ឌី" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Hiperbola_(krivulja)" title="Hiperbola (krivulja) – ក្រូអាត" lang="hr" hreflang="hr" data-title="Hiperbola (krivulja)" data-language-autonym="Hrvatski" data-language-local-name="ក្រូអាត" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Hiperbola_(matematika)" title="Hiperbola (matematika) – ហុងគ្រី" lang="hu" hreflang="hu" data-title="Hiperbola (matematika)" data-language-autonym="Magyar" data-language-local-name="ហុងគ្រី" 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%80%D5%AB%D5%BA%D5%A5%D6%80%D5%A2%D5%B8%D5%AC" title="Հիպերբոլ – អាមេនី" lang="hy" hreflang="hy" data-title="Հիպերբոլ" data-language-autonym="Հայերեն" data-language-local-name="អាមេនី" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Hiperbola" title="Hiperbola – ឥណ្ឌូណេស៊ី" lang="id" hreflang="id" data-title="Hiperbola" data-language-autonym="Bahasa Indonesia" data-language-local-name="ឥណ្ឌូណេស៊ី" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-is mw-list-item"><a href="https://is.wikipedia.org/wiki/Brei%C3%B0bogi" title="Breiðbogi – អ៊ីស្លង់" lang="is" hreflang="is" data-title="Breiðbogi" data-language-autonym="Íslenska" data-language-local-name="អ៊ីស្លង់" 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/Iperbole_(geometria)" title="Iperbole (geometria) – អ៊ីតាលី" lang="it" hreflang="it" data-title="Iperbole (geometria)" data-language-autonym="Italiano" data-language-local-name="អ៊ីតាលី" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E5%8F%8C%E6%9B%B2%E7%B7%9A" title="双曲線 – ជប៉ុន" lang="ja" hreflang="ja" data-title="双曲線" data-language-autonym="日本語" data-language-local-name="ជប៉ុន" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/%E1%83%B0%E1%83%98%E1%83%9E%E1%83%94%E1%83%A0%E1%83%91%E1%83%9D%E1%83%9A%E1%83%90" title="ჰიპერბოლა – ហ្សកហ្ស៊ី" lang="ka" hreflang="ka" data-title="ჰიპერბოლა" data-language-autonym="ქართული" data-language-local-name="ហ្សកហ្ស៊ី" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EC%8C%8D%EA%B3%A1%EC%84%A0" title="쌍곡선 – កូរ៉េ" lang="ko" hreflang="ko" data-title="쌍곡선" data-language-autonym="한국어" data-language-local-name="កូរ៉េ" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-ky mw-list-item"><a href="https://ky.wikipedia.org/wiki/%D0%93%D0%B8%D0%BF%D0%B5%D1%80%D0%B1%D0%BE%D0%BB%D0%B0_%D0%BC%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0%D0%B4%D0%B0" title="Гипербола математикада – កៀហ្ស៊ីស" lang="ky" hreflang="ky" data-title="Гипербола математикада" data-language-autonym="Кыргызча" data-language-local-name="កៀហ្ស៊ីស" 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/Hyperbola" title="Hyperbola – ឡាតំាង" lang="la" hreflang="la" data-title="Hyperbola" data-language-autonym="Latina" data-language-local-name="ឡាតំាង" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Hiperbol%C4%97_(matematika)" title="Hiperbolė (matematika) – លីទុយអានី" lang="lt" hreflang="lt" data-title="Hiperbolė (matematika)" data-language-autonym="Lietuvių" data-language-local-name="លីទុយអានី" 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/Hiperbola" title="Hiperbola – ឡាតវី" lang="lv" hreflang="lv" data-title="Hiperbola" data-language-autonym="Latviešu" data-language-local-name="ឡាតវី" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%A5%D0%B8%D0%BF%D0%B5%D1%80%D0%B1%D0%BE%D0%BB%D0%B0" title="Хипербола – ម៉ាសេដូនី" lang="mk" hreflang="mk" data-title="Хипербола" data-language-autonym="Македонски" data-language-local-name="ម៉ាសេដូនី" 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%85%E0%B4%A7%E0%B4%BF%E0%B4%B5%E0%B4%B2%E0%B4%AF%E0%B4%82" title="അധിവലയം – ម៉ាឡាយ៉ាឡាម" lang="ml" hreflang="ml" data-title="അധിവലയം" data-language-autonym="മലയാളം" data-language-local-name="ម៉ាឡាយ៉ាឡាម" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Hyperbool_(meetkunde)" title="Hyperbool (meetkunde) – ហូឡង់" lang="nl" hreflang="nl" data-title="Hyperbool (meetkunde)" data-language-autonym="Nederlands" data-language-local-name="ហូឡង់" 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/Hyperbel" title="Hyperbel – ន័រវែស នីនូស" lang="nn" hreflang="nn" data-title="Hyperbel" data-language-autonym="Norsk nynorsk" data-language-local-name="ន័រវែស នីនូស" 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/Hyperbel" title="Hyperbel – ន័រវែស បុកម៉ាល់" lang="nb" hreflang="nb" data-title="Hyperbel" data-language-autonym="Norsk bokmål" data-language-local-name="ន័រវែស បុកម៉ាល់" 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/Iperb%C3%B2la_(matematicas)" title="Iperbòla (matematicas) – អូសីតាន់" lang="oc" hreflang="oc" data-title="Iperbòla (matematicas)" data-language-autonym="Occitan" data-language-local-name="អូសីតាន់" class="interlanguage-link-target"><span>Occitan</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Hiperbola_(matematyka)" title="Hiperbola (matematyka) – ប៉ូឡូញ" lang="pl" hreflang="pl" data-title="Hiperbola (matematyka)" data-language-autonym="Polski" data-language-local-name="ប៉ូឡូញ" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pms mw-list-item"><a href="https://pms.wikipedia.org/wiki/Ip%C3%A9rbol" title="Ipérbol – Piedmontese" lang="pms" hreflang="pms" data-title="Ipérbol" data-language-autonym="Piemontèis" data-language-local-name="Piedmontese" class="interlanguage-link-target"><span>Piemontèis</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Hip%C3%A9rbole" title="Hipérbole – ព័រទុយហ្គាល់" lang="pt" hreflang="pt" data-title="Hipérbole" data-language-autonym="Português" data-language-local-name="ព័រទុយហ្គាល់" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Hiperbol%C4%83" title="Hiperbolă – រូម៉ានី" lang="ro" hreflang="ro" data-title="Hiperbolă" data-language-autonym="Română" data-language-local-name="រូម៉ានី" 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%93%D0%B8%D0%BF%D0%B5%D1%80%D0%B1%D0%BE%D0%BB%D0%B0_(%D0%BC%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0)" title="Гипербола (математика) – រុស្ស៊ី" lang="ru" hreflang="ru" data-title="Гипербола (математика)" data-language-autonym="Русский" data-language-local-name="រុស្ស៊ី" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-rue mw-list-item"><a href="https://rue.wikipedia.org/wiki/%D0%93%D0%B8%D0%BF%D0%B5%D1%80%D0%B1%D0%BE%D0%BB%D0%B0" title="Гипербола – Rusyn" lang="rue" hreflang="rue" data-title="Гипербола" data-language-autonym="Русиньскый" data-language-local-name="Rusyn" class="interlanguage-link-target"><span>Русиньскый</span></a></li><li class="interlanguage-link interwiki-scn mw-list-item"><a href="https://scn.wikipedia.org/wiki/Ip%C3%A8rbuli_(matim%C3%A0tica)" title="Ipèrbuli (matimàtica) – ស៊ីស៊ីលាន" lang="scn" hreflang="scn" data-title="Ipèrbuli (matimàtica)" data-language-autonym="Sicilianu" data-language-local-name="ស៊ីស៊ីលាន" 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/Hyperbola" title="Hyperbola – ស្កុត" lang="sco" hreflang="sco" data-title="Hyperbola" data-language-autonym="Scots" data-language-local-name="ស្កុត" class="interlanguage-link-target"><span>Scots</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Hiperbola" title="Hiperbola – សឺបូក្រូអាត" lang="sh" hreflang="sh" data-title="Hiperbola" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="សឺបូក្រូអាត" 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/Hyperbola" title="Hyperbola – Simple English" lang="en-simple" hreflang="en-simple" data-title="Hyperbola" 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/Hyperbola_(matematika)" title="Hyperbola (matematika) – ស្លូវ៉ាគី" lang="sk" hreflang="sk" data-title="Hyperbola (matematika)" data-language-autonym="Slovenčina" data-language-local-name="ស្លូវ៉ាគី" 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/Hiperbola" title="Hiperbola – ស្លូវ៉ានី" lang="sl" hreflang="sl" data-title="Hiperbola" data-language-autonym="Slovenščina" data-language-local-name="ស្លូវ៉ានី" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://sq.wikipedia.org/wiki/Hiperbola_(matematik%C3%AB)" title="Hiperbola (matematikë) – អាល់បានី" lang="sq" hreflang="sq" data-title="Hiperbola (matematikë)" data-language-autonym="Shqip" data-language-local-name="អាល់បានី" 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%A5%D0%B8%D0%BF%D0%B5%D1%80%D0%B1%D0%BE%D0%BB%D0%B0" title="Хипербола – ស៊ែប" lang="sr" hreflang="sr" data-title="Хипербола" data-language-autonym="Српски / srpski" data-language-local-name="ស៊ែប" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Hyperbel" title="Hyperbel – ស៊ុយអែត" lang="sv" hreflang="sv" data-title="Hyperbel" data-language-autonym="Svenska" data-language-local-name="ស៊ុយអែត" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%85%E0%AE%A4%E0%AE%BF%E0%AE%AA%E0%AE%B0%E0%AE%B5%E0%AE%B3%E0%AF%88%E0%AE%B5%E0%AF%81" title="அதிபரவளைவு – តាមីល" lang="ta" hreflang="ta" data-title="அதிபரவளைவு" data-language-autonym="தமிழ்" data-language-local-name="តាមីល" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B9%84%E0%B8%AE%E0%B9%80%E0%B8%9E%E0%B8%AD%E0%B8%A3%E0%B9%8C%E0%B9%82%E0%B8%9A%E0%B8%A5%E0%B8%B2" title="ไฮเพอร์โบลา – ថៃ" lang="th" hreflang="th" data-title="ไฮเพอร์โบลา" data-language-autonym="ไทย" data-language-local-name="ថៃ" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Hiperbol" title="Hiperbol – ទួរគី" lang="tr" hreflang="tr" data-title="Hiperbol" data-language-autonym="Türkçe" data-language-local-name="ទួរគី" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%93%D1%96%D0%BF%D0%B5%D1%80%D0%B1%D0%BE%D0%BB%D0%B0_(%D0%BC%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0)" title="Гіпербола (математика) – អ៊ុយក្រែន" lang="uk" hreflang="uk" data-title="Гіпербола (математика)" data-language-autonym="Українська" data-language-local-name="អ៊ុយក្រែន" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Giperbola" title="Giperbola – អ៊ូសបេគ" lang="uz" hreflang="uz" data-title="Giperbola" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="អ៊ូសបេគ" 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/Hyperbol" title="Hyperbol – វៀតណាម" lang="vi" hreflang="vi" data-title="Hyperbol" data-language-autonym="Tiếng Việt" data-language-local-name="វៀតណាម" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://wuu.wikipedia.org/wiki/%E5%8F%8C%E6%9B%B2%E7%BA%BF" title="双曲线 – អ៊ូចិន" lang="wuu" hreflang="wuu" data-title="双曲线" data-language-autonym="吴语" data-language-local-name="អ៊ូចិន" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E5%8F%8C%E6%9B%B2%E7%BA%BF" title="双曲线 – ចិន" lang="zh" hreflang="zh" data-title="双曲线" data-language-autonym="中文" data-language-local-name="ចិន" class="interlanguage-link-target"><span>中文</span></a></li><li class="interlanguage-link interwiki-zh-classical mw-list-item"><a href="https://zh-classical.wikipedia.org/wiki/%E9%9B%99%E6%9B%B2%E7%B7%9A" title="雙曲線 – Literary Chinese" lang="lzh" hreflang="lzh" data-title="雙曲線" data-language-autonym="文言" data-language-local-name="Literary Chinese" class="interlanguage-link-target"><span>文言</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E9%9B%99%E6%9B%B2%E7%B6%AB" title="雙曲綫 – កន្តាំង" lang="yue" hreflang="yue" data-title="雙曲綫" data-language-autonym="粵語" data-language-local-name="កន្តាំង" 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/Q165301#sitelinks-wikipedia" title="កែប្រែតំណភ្ជាប់អន្តរភាសា" class="wbc-editpage">កែប្រែតំណភ្ជាប់</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="លំហឈ្មោះ"> <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/%E1%9E%A2%E1%9F%8A%E1%9E%B8%E1%9E%96%E1%9F%82%E1%9E%94%E1%9E%BC%E1%9E%9B" title="មើលទំព័រមាតិកា [c]" accesskey="c"><span>ទំព័រ</span></a></li><li id="ca-talk" class="new vector-tab-noicon mw-list-item"><a href="/w/index.php?title=%E1%9E%80%E1%9E%B6%E1%9E%9A%E1%9E%96%E1%9E%B7%E1%9E%97%E1%9E%B6%E1%9E%80%E1%9F%92%E1%9E%9F%E1%9E%B6:%E1%9E%A2%E1%9F%8A%E1%9E%B8%E1%9E%96%E1%9F%82%E1%9E%94%E1%9E%BC%E1%9E%9B&action=edit&redlink=1" rel="discussion" class="new" title="ការពិភាក្សាអំពីទំព័រខ្លឹមសារនេះ (ទំព័រនេះមិនទាន់មាននៅឡើយទេ) [t]" accesskey="t"><span>ការពិភាក្សា</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="Change language variant" > <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 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title="ជម្រើសផ្សេងទៀត" > <div class="vector-menu-heading"> សកម្មភាព </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/%E1%9E%A2%E1%9F%8A%E1%9E%B8%E1%9E%96%E1%9F%82%E1%9E%94%E1%9E%BC%E1%9E%9B"><span>អាន</span></a></li><li id="ca-more-edit" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=%E1%9E%A2%E1%9F%8A%E1%9E%B8%E1%9E%96%E1%9F%82%E1%9E%94%E1%9E%BC%E1%9E%9B&action=edit" title="កែប្រែកូដរបស់ទំព័រនេះ [e]" accesskey="e"><span>កែប្រែ</span></a></li><li id="ca-more-history" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=%E1%9E%A2%E1%9F%8A%E1%9E%B8%E1%9E%96%E1%9F%82%E1%9E%94%E1%9E%BC%E1%9E%9B&action=history"><span>មើលប្រវត្តិ</span></a></li> </ul> </div> </div> <div id="p-tb" class="vector-menu mw-portlet mw-portlet-tb" > <div class="vector-menu-heading"> ទូទៅ </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-whatlinkshere" class="mw-list-item"><a href="/wiki/%E1%9E%96%E1%9E%B7%E1%9E%9F%E1%9F%81%E1%9E%9F:%E1%9E%A2%E1%9F%92%E1%9E%9C%E1%9E%B8%E1%9E%8A%E1%9F%82%E1%9E%9B%E1%9E%97%E1%9F%92%E1%9E%87%E1%9E%B6%E1%9E%94%E1%9F%8B%E1%9E%98%E1%9E%80%E1%9E%91%E1%9E%B8%E1%9E%93%E1%9F%81%E1%9F%87/%E1%9E%A2%E1%9F%8A%E1%9E%B8%E1%9E%96%E1%9F%82%E1%9E%94%E1%9E%BC%E1%9E%9B" title="បញ្ជីទំព័វិគីទាំងអស់ដែលភ្ជាប់មកទីនេះ [j]" accesskey="j"><span>អ្វីដែលភ្ជាប់មកទីនេះ</span></a></li><li id="t-recentchangeslinked" class="mw-list-item"><a href="/wiki/%E1%9E%96%E1%9E%B7%E1%9E%9F%E1%9F%81%E1%9E%9F:%E1%9E%94%E1%9F%86%E1%9E%9B%E1%9E%B6%E1%9E%9F%E1%9F%8B%E1%9E%94%E1%9F%92%E1%9E%8A%E1%9E%BC%E1%9E%9A%E1%9E%91%E1%9E%B6%E1%9E%80%E1%9F%8B%E1%9E%91%E1%9E%B7%E1%9E%93/%E1%9E%A2%E1%9F%8A%E1%9E%B8%E1%9E%96%E1%9F%82%E1%9E%94%E1%9E%BC%E1%9E%9B" rel="nofollow" title="បន្លាស់ប្ដូរថ្មីៗក្នុងទំព័រដែលត្រូវបានភ្ជាប់មកទំព័រនេះ [k]" accesskey="k"><span>បន្លាស់ប្ដូរដែលពាក់ព័ន្ធ</span></a></li><li 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title="ទម្រង់សម្រាប់បោះពុម្ភរបស់ទំព័រនេះ [p]" accesskey="p"><span>ទម្រង់សម្រាប់បោះពុម្ភ</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"> ក្នុងគម្រោងផ្សេងៗទៀត </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:Hyperbolas" hreflang="en"><span>Wikimedia Commons</span></a></li><li id="t-wikibase" class="wb-otherproject-link wb-otherproject-wikibase-dataitem mw-list-item"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q165301" title="Link to connected data repository item [g]" accesskey="g"><span>Wikidata item</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 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//upload.wikimedia.org/wikipedia/km/3/31/Hyperbola1.png 2x" data-file-width="800" data-file-height="512" /></a><figcaption></figcaption></figure> <p><b>អ៊ីពែបូល</b>គឺជាសំនុំចំនុច <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(x;y)\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>P</mi> <mo stretchy="false">(</mo> <mi>x</mi> <mo>;</mo> <mi>y</mi> <mo stretchy="false">)</mo> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle P(x;y)\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/52ae1beba2e9134188b1fdd6b0cc936da529ddce" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:7.461ex; height:2.843ex;" alt="{\displaystyle P(x;y)\,}"></span> នៅក្នុងប្លង់ ដែលផលដកចំងាយរវាងចំនុច <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> <mspace width="thinmathspace" /> </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/f60e07ebc2aadee94e4cbbccef71fd9bcf44f5f9" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.133ex; height:2.176ex;" alt="{\displaystyle P\,}"></span> ទៅនឹងចំនុចនឹងពីរ ស្មើនឹងចំនួនថេរ ។ ចំនុចនឹងពីរហៅថា<b>កំនុំ</b>។ </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="ទំរង់ស្តង់ដាសមីការអ៊ីពែបូល"><span id=".E1.9E.91.E1.9F.86.E1.9E.9A.E1.9E.84.E1.9F.8B.E1.9E.9F.E1.9F.92.E1.9E.8F.E1.9E.84.E1.9F.8B.E1.9E.8A.E1.9E.B6.E1.9E.9F.E1.9E.98.E1.9E.B8.E1.9E.80.E1.9E.B6.E1.9E.9A.E1.9E.A2.E1.9F.8A.E1.9E.B8.E1.9E.96.E1.9F.82.E1.9E.94.E1.9E.BC.E1.9E.9B"></span>ទំរង់ស្តង់ដាសមីការអ៊ីពែបូល</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E1%9E%A2%E1%9F%8A%E1%9E%B8%E1%9E%96%E1%9F%82%E1%9E%94%E1%9E%BC%E1%9E%9B&action=edit&section=1" title="កែប្រែផ្នែក៖ ទំរង់ស្តង់ដាសមីការអ៊ីពែបូល"><span>កែប្រែ</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="ទ្រឹស្តីបទ"><span id=".E1.9E.91.E1.9F.92.E1.9E.9A.E1.9E.B9.E1.9E.9F.E1.9F.92.E1.9E.8F.E1.9E.B8.E1.9E.94.E1.9E.91"></span>ទ្រឹស្តីបទ</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E1%9E%A2%E1%9F%8A%E1%9E%B8%E1%9E%96%E1%9F%82%E1%9E%94%E1%9E%BC%E1%9E%9B&action=edit&section=2" title="កែប្រែផ្នែក៖ ទ្រឹស្តីបទ"><span>កែប្រែ</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>ទំរង់ស្តង់ដាសមីការអ៊ីពែបូលដែលមានផ្ចិត <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;k)\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">(</mo> <mi>h</mi> <mo>;</mo> <mi>k</mi> <mo stretchy="false">)</mo> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle (h;k)\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/781492da830fbd15603b6e59296dde16325f25c5" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:5.781ex; height:2.843ex;" alt="{\displaystyle (h;k)\,}"></span> គឺ </p><p>ក. <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\frac {(x-h)^{2}}{a^{2}}}\,-\,{\frac {(y-k)^{2}}{b^{2}}}\,=\,1\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mo stretchy="false">(</mo> <mi>x</mi> <mo>−</mo> <mi>h</mi> <msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mfrac> </mrow> <mspace width="thinmathspace" /> <mo>−</mo> <mspace width="thinmathspace" /> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mo stretchy="false">(</mo> <mi>y</mi> <mo>−</mo> <mi>k</mi> <msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> <msup> <mi>b</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mfrac> </mrow> <mspace width="thinmathspace" /> <mo>=</mo> <mspace width="thinmathspace" /> <mn>1</mn> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {(x-h)^{2}}{a^{2}}}\,-\,{\frac {(y-k)^{2}}{b^{2}}}\,=\,1\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/305a5228df09f5b844568c376f093c5f2fcff8a4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.171ex; width:27.152ex; height:6.176ex;" alt="{\displaystyle {\frac {(x-h)^{2}}{a^{2}}}\,-\,{\frac {(y-k)^{2}}{b^{2}}}\,=\,1\,}"></span> បើអ៊ីពែបូលមានអ័ក្សទទឹងដេក ។ </p><p>ខ. <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 {(y-k)^{2}}{a^{2}}}\,-\,{\frac {(x-h)^{2}}{b^{2}}}\,=\,1\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mo stretchy="false">(</mo> <mi>y</mi> <mo>−</mo> <mi>k</mi> <msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mfrac> </mrow> <mspace width="thinmathspace" /> <mo>−</mo> <mspace width="thinmathspace" /> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mo stretchy="false">(</mo> <mi>x</mi> <mo>−</mo> <mi>h</mi> <msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> <msup> <mi>b</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mfrac> </mrow> <mspace width="thinmathspace" /> <mo>=</mo> <mspace width="thinmathspace" /> <mn>1</mn> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {(y-k)^{2}}{a^{2}}}\,-\,{\frac {(x-h)^{2}}{b^{2}}}\,=\,1\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/baa4b77eb575a45b4d3105b43e9eb2a4b258540c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.171ex; width:27.152ex; height:6.176ex;" alt="{\displaystyle {\frac {(y-k)^{2}}{a^{2}}}\,-\,{\frac {(x-h)^{2}}{b^{2}}}\,=\,1\,}"></span> បើអ៊ីពែបូលមានអ័ក្សទទឹងឈរ ។ </p><p>កំពូលអ៊ីពែបូលស្ថិតនៅចំងាយ <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> <mspace width="thinmathspace" /> </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/1d73aa5354c24942dab5316be466465a9d171510" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.617ex; height:1.676ex;" alt="{\displaystyle a\,}"></span> ឯកតាពីផ្ចិត ហើយកំនុំស្ថិតនៅចំងាយ <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> <mspace width="thinmathspace" /> </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/8573e7d95140b0d4068258d8162e189563baee6b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.394ex; height:1.676ex;" alt="{\displaystyle c\,}"></span> ឯកតាពីផ្ចិត ។ លើសពីនេះទៀត គេបាន <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^{2}=c^{2}-a^{2}\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>b</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>=</mo> <msup> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>−</mo> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle b^{2}=c^{2}-a^{2}\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6693b3a3f7aebe9999d66b1cb8d3e1994e3f76f6" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:12.723ex; height:2.843ex;" alt="{\displaystyle b^{2}=c^{2}-a^{2}\,}"></span> ។ </p> <div class="mw-heading mw-heading2"><h2 id="អាស៊ីមតូតអ៊ីពែបូល"><span id=".E1.9E.A2.E1.9E.B6.E1.9E.9F.E1.9F.8A.E1.9E.B8.E1.9E.98.E1.9E.8F.E1.9E.BC.E1.9E.8F.E1.9E.A2.E1.9F.8A.E1.9E.B8.E1.9E.96.E1.9F.82.E1.9E.94.E1.9E.BC.E1.9E.9B"></span><a href="/w/index.php?title=%E1%9E%A2%E1%9E%B6%E1%9E%9F%E1%9F%8A%E1%9E%B8%E1%9E%98%E1%9E%8F%E1%9E%BC%E1%9E%8F&action=edit&redlink=1" class="new" title="អាស៊ីមតូត (ទំព័រនេះមិនទាន់មាននៅឡើយទេ)">អាស៊ីមតូត</a>អ៊ីពែបូល</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E1%9E%A2%E1%9F%8A%E1%9E%B8%E1%9E%96%E1%9F%82%E1%9E%94%E1%9E%BC%E1%9E%9B&action=edit&section=3" title="កែប្រែផ្នែក៖ អាស៊ីមតូតអ៊ីពែបូល"><span>កែប្រែ</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="ទ្រឹស្តីបទ_2"><span id=".E1.9E.91.E1.9F.92.E1.9E.9A.E1.9E.B9.E1.9E.9F.E1.9F.92.E1.9E.8F.E1.9E.B8.E1.9E.94.E1.9E.91_2"></span>ទ្រឹស្តីបទ</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E1%9E%A2%E1%9F%8A%E1%9E%B8%E1%9E%96%E1%9F%82%E1%9E%94%E1%9E%BC%E1%9E%9B&action=edit&section=4" title="កែប្រែផ្នែក៖ ទ្រឹស្តីបទ"><span>កែប្រែ</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li>ចំពោះអ័ក្សទទឹងដេក សមីការអាស៊ីមតូតមានរាង <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 y=k+{\frac {b}{a}}(x-h)\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>y</mi> <mo>=</mo> <mi>k</mi> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>b</mi> <mi>a</mi> </mfrac> </mrow> <mo stretchy="false">(</mo> <mi>x</mi> <mo>−</mo> <mi>h</mi> <mo stretchy="false">)</mo> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle y=k+{\frac {b}{a}}(x-h)\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/976307c27672fdf4628fe2958e42d6a9efd1a310" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:18.077ex; height:5.343ex;" alt="{\displaystyle y=k+{\frac {b}{a}}(x-h)\,}"></span> និង <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 y=k-{\frac {b}{a}}(x-h)\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>y</mi> <mo>=</mo> <mi>k</mi> <mo>−</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>b</mi> <mi>a</mi> </mfrac> </mrow> <mo stretchy="false">(</mo> <mi>x</mi> <mo>−</mo> <mi>h</mi> <mo stretchy="false">)</mo> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle y=k-{\frac {b}{a}}(x-h)\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4fe55c90133fb1a7529099db0f97e0432bcc7fe8" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:18.077ex; height:5.343ex;" alt="{\displaystyle y=k-{\frac {b}{a}}(x-h)\,}"></span></li></ul> <ul><li> ចំពោះអ័ក្សទទឹងឈរ សមីការអាស៊ីមតូតមានរាង <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 y=k+{\frac {a}{b}}(x-h)\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>y</mi> <mo>=</mo> <mi>k</mi> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>a</mi> <mi>b</mi> </mfrac> </mrow> <mo stretchy="false">(</mo> <mi>x</mi> <mo>−</mo> <mi>h</mi> <mo stretchy="false">)</mo> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle y=k+{\frac {a}{b}}(x-h)\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7b99c6fbd5fad36d2f6823cf95bcaa54e66a1262" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:18.077ex; height:4.843ex;" alt="{\displaystyle y=k+{\frac {a}{b}}(x-h)\,}"></span> និង <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 y=k-{\frac {a}{b}}(x-h)\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>y</mi> <mo>=</mo> <mi>k</mi> <mo>−</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>a</mi> <mi>b</mi> </mfrac> </mrow> <mo stretchy="false">(</mo> <mi>x</mi> <mo>−</mo> <mi>h</mi> <mo stretchy="false">)</mo> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle y=k-{\frac {a}{b}}(x-h)\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/dbed016ce4cb3376d9d8982708dedf0ce77f2bd3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:18.077ex; height:4.843ex;" alt="{\displaystyle y=k-{\frac {a}{b}}(x-h)\,}"></span></li></ul> <div class="mw-heading mw-heading2"><h2 id="ទំរង់ទូទៅសមីការអ៊ីពែបូល"><span id=".E1.9E.91.E1.9F.86.E1.9E.9A.E1.9E.84.E1.9F.8B.E1.9E.91.E1.9E.BC.E1.9E.91.E1.9F.85.E1.9E.9F.E1.9E.98.E1.9E.B8.E1.9E.80.E1.9E.B6.E1.9E.9A.E1.9E.A2.E1.9F.8A.E1.9E.B8.E1.9E.96.E1.9F.82.E1.9E.94.E1.9E.BC.E1.9E.9B"></span>ទំរង់ទូទៅសមីការអ៊ីពែបូល</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E1%9E%A2%E1%9F%8A%E1%9E%B8%E1%9E%96%E1%9F%82%E1%9E%94%E1%9E%BC%E1%9E%9B&action=edit&section=5" title="កែប្រែផ្នែក៖ ទំរង់ទូទៅសមីការអ៊ីពែបូល"><span>កែប្រែ</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>ទំរង់ទូទៅរបស់សមីការអ៊ីពែបូលមានរាង <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 Ax^{2}+By^{2}+Cx+Dy+E=0\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>A</mi> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <mi>B</mi> <msup> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <mi>C</mi> <mi>x</mi> <mo>+</mo> <mi>D</mi> <mi>y</mi> <mo>+</mo> <mi>E</mi> <mo>=</mo> <mn>0</mn> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle Ax^{2}+By^{2}+Cx+Dy+E=0\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/fd19680b97800495cfb020bb8b3e741f3e5f23b1" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:32.067ex; height:3.009ex;" alt="{\displaystyle Ax^{2}+By^{2}+Cx+Dy+E=0\,}"></span> ដែល <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\neq 0\,;\,B\neq 0\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>A</mi> <mo>≠</mo> <mn>0</mn> <mspace width="thinmathspace" /> <mo>;</mo> <mspace width="thinmathspace" /> <mi>B</mi> <mo>≠</mo> <mn>0</mn> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle A\neq 0\,;\,B\neq 0\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6317b2f259e705eee9dfdecc6a2b0230858344ae" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:14.224ex; height:2.676ex;" alt="{\displaystyle A\neq 0\,;\,B\neq 0\,}"></span> ។ </p> <div class="mw-heading mw-heading2"><h2 id="សមីការអ៊ីពែបូលដែលមានផ្ចិតស្ថិតនៅចំគល់អ័ក្ស"><span id=".E1.9E.9F.E1.9E.98.E1.9E.B8.E1.9E.80.E1.9E.B6.E1.9E.9A.E1.9E.A2.E1.9F.8A.E1.9E.B8.E1.9E.96.E1.9F.82.E1.9E.94.E1.9E.BC.E1.9E.9B.E1.9E.8A.E1.9F.82.E1.9E.9B.E1.9E.98.E1.9E.B6.E1.9E.93.E1.9E.95.E1.9F.92.E1.9E.85.E1.9E.B7.E1.9E.8F.E1.9E.9F.E1.9F.92.E1.9E.90.E1.9E.B7.E1.9E.8F.E1.9E.93.E1.9F.85.E1.9E.85.E1.9F.86.E1.9E.82.E1.9E.9B.E1.9F.8B.E1.9E.A2.E1.9F.90.E1.9E.80.E1.9F.92.E1.9E.9F"></span>សមីការអ៊ីពែបូលដែលមានផ្ចិតស្ថិតនៅចំគល់អ័ក្ស</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E1%9E%A2%E1%9F%8A%E1%9E%B8%E1%9E%96%E1%9F%82%E1%9E%94%E1%9E%BC%E1%9E%9B&action=edit&section=6" title="កែប្រែផ្នែក៖ សមីការអ៊ីពែបូលដែលមានផ្ចិតស្ថិតនៅចំគល់អ័ក្ស"><span>កែប្រែ</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>បើផ្ចិតអ៊ីពែបូលស្ថិតនៅចំគល់អ័ក្ស គេបានទំរង់ស្តង់ដារបស់សមីការអ៊ីពែបូលគឺ </p><p>ក. <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\frac {x^{2}}{a^{2}}}\,-\,{\frac {y^{2}}{b^{2}}}\,=\,1\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mfrac> </mrow> <mspace width="thinmathspace" /> <mo>−</mo> <mspace width="thinmathspace" /> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msup> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <msup> <mi>b</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mfrac> </mrow> <mspace width="thinmathspace" /> <mo>=</mo> <mspace width="thinmathspace" /> <mn>1</mn> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {x^{2}}{a^{2}}}\,-\,{\frac {y^{2}}{b^{2}}}\,=\,1\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4ed99cd53ef5e8650711e24e7d0b40f8d9df5854" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.171ex; width:15.308ex; height:6.009ex;" alt="{\displaystyle {\frac {x^{2}}{a^{2}}}\,-\,{\frac {y^{2}}{b^{2}}}\,=\,1\,}"></span> បើអ៊ីពែបូលមានអ័ក្សទទឹងដេក ។ </p><p>ខ. <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 {y^{2}}{a^{2}}}\,-\,{\frac {x^{2}}{b^{2}}}\,=\,1\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msup> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mfrac> </mrow> <mspace width="thinmathspace" /> <mo>−</mo> <mspace width="thinmathspace" /> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <msup> <mi>b</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mfrac> </mrow> <mspace width="thinmathspace" /> <mo>=</mo> <mspace width="thinmathspace" /> <mn>1</mn> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {y^{2}}{a^{2}}}\,-\,{\frac {x^{2}}{b^{2}}}\,=\,1\,}</annotation> </semantics> 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