CINXE.COM

<!DOCTYPE html> <html class="client-nojs vector-feature-language-in-header-enabled vector-feature-language-in-main-page-header-disabled vector-feature-sticky-header-disabled vector-feature-page-tools-pinned-disabled vector-feature-toc-pinned-clientpref-1 vector-feature-main-menu-pinned-disabled vector-feature-limited-width-clientpref-1 vector-feature-limited-width-content-enabled vector-feature-custom-font-size-clientpref-1 vector-feature-appearance-pinned-clientpref-1 vector-feature-night-mode-disabled skin-theme-clientpref-day vector-toc-available" lang="tl" dir="ltr"> <head> <meta charset="UTF-8"> <title>Euclides - Wikipedia, ang malayang ensiklopedya</title> <script>(function(){var className="client-js vector-feature-language-in-header-enabled vector-feature-language-in-main-page-header-disabled vector-feature-sticky-header-disabled vector-feature-page-tools-pinned-disabled vector-feature-toc-pinned-clientpref-1 vector-feature-main-menu-pinned-disabled vector-feature-limited-width-clientpref-1 vector-feature-limited-width-content-enabled vector-feature-custom-font-size-clientpref-1 vector-feature-appearance-pinned-clientpref-1 vector-feature-night-mode-disabled skin-theme-clientpref-day vector-toc-available";var cookie=document.cookie.match(/(?:^|; )tlwikimwclientpreferences=([^;]+)/);if(cookie){cookie[1].split('%2C').forEach(function(pref){className=className.replace(new RegExp('(^| )'+pref.replace(/-clientpref-\w+$|[^\w-]+/g,'')+'-clientpref-\\w+( |$)'),'$1'+pref+'$2');});}document.documentElement.className=className;}());RLCONF={"wgBreakFrames":false,"wgSeparatorTransformTable":["",""],"wgDigitTransformTable":["",""],"wgDefaultDateFormat":"dmy" ,"wgMonthNames":["","Enero","Pebrero","Marso","Abril","Mayo","Hunyo","Hulyo","Agosto","Setyembre","Oktubre","Nobyembre","Disyembre"],"wgRequestId":"1ea87d10-c024-4b6b-bbac-77105f84ed4e","wgCanonicalNamespace":"","wgCanonicalSpecialPageName":false,"wgNamespaceNumber":0,"wgPageName":"Euclides","wgTitle":"Euclides","wgCurRevisionId":2021558,"wgRevisionId":2021558,"wgArticleId":78627,"wgIsArticle":true,"wgIsRedirect":false,"wgAction":"view","wgUserName":null,"wgUserGroups":["*"],"wgCategories":["Articles with hCards","Stub (Matematiko)","Stub (Gresya)","Mga lathalaing dapat palawigin","Mga sinaunang Griyego","Mga matematikong Griyego","Heometriyang Euclidean"],"wgPageViewLanguage":"tl","wgPageContentLanguage":"tl","wgPageContentModel":"wikitext","wgRelevantPageName":"Euclides","wgRelevantArticleId":78627,"wgIsProbablyEditable":true,"wgRelevantPageIsProbablyEditable":true,"wgRestrictionEdit":[],"wgRestrictionMove":[],"wgNoticeProject":"wikipedia","wgCiteReferencePreviewsActive":true, "wgMediaViewerOnClick":true,"wgMediaViewerEnabledByDefault":true,"wgPopupsFlags":0,"wgVisualEditor":{"pageLanguageCode":"tl","pageLanguageDir":"ltr","pageVariantFallbacks":"tl"},"wgMFDisplayWikibaseDescriptions":{"search":true,"watchlist":true,"tagline":true,"nearby":true},"wgWMESchemaEditAttemptStepOversample":false,"wgWMEPageLength":3000,"wgRelatedArticlesCompat":[],"wgCentralAuthMobileDomain":false,"wgEditSubmitButtonLabelPublish":true,"wgULSPosition":"interlanguage","wgULSisCompactLinksEnabled":false,"wgVector2022LanguageInHeader":true,"wgULSisLanguageSelectorEmpty":false,"wgWikibaseItemId":"Q8747","wgCheckUserClientHintsHeadersJsApi":["brands","architecture","bitness","fullVersionList","mobile","model","platform","platformVersion"],"GEHomepageSuggestedEditsEnableTopics":true,"wgGETopicsMatchModeEnabled":false,"wgGEStructuredTaskRejectionReasonTextInputEnabled":false,"wgGELevelingUpEnabledForUser":false};RLSTATE={"ext.globalCssJs.user.styles":"ready","site.styles":"ready", "user.styles":"ready","ext.globalCssJs.user":"ready","user":"ready","user.options":"loading","ext.cite.styles":"ready","skins.vector.search.codex.styles":"ready","skins.vector.styles":"ready","skins.vector.icons":"ready","ext.wikimediamessages.styles":"ready","ext.visualEditor.desktopArticleTarget.noscript":"ready","ext.uls.interlanguage":"ready","wikibase.client.init":"ready","ext.wikimediaBadges":"ready"};RLPAGEMODULES=["ext.cite.ux-enhancements","mediawiki.page.media","site","mediawiki.page.ready","skins.vector.js","ext.centralNotice.geoIP","ext.centralNotice.startUp","ext.urlShortener.toolbar","ext.centralauth.centralautologin","mmv.bootstrap","ext.popups","ext.visualEditor.desktopArticleTarget.init","ext.visualEditor.targetLoader","ext.echo.centralauth","ext.eventLogging","ext.wikimediaEvents","ext.navigationTiming","ext.uls.interface","ext.cx.eventlogging.campaigns","ext.cx.uls.quick.actions","wikibase.client.vector-2022","ext.checkUser.clientHints", "ext.growthExperiments.SuggestedEditSession","wikibase.sidebar.tracking"];</script> <script>(RLQ=window.RLQ||[]).push(function(){mw.loader.impl(function(){return["user.options@12s5i",function($,jQuery,require,module){mw.user.tokens.set({"patrolToken":"+\\","watchToken":"+\\","csrfToken":"+\\"}); }];});});</script> <link rel="stylesheet" href="/w/load.php?lang=tl&modules=ext.cite.styles%7Cext.uls.interlanguage%7Cext.visualEditor.desktopArticleTarget.noscript%7Cext.wikimediaBadges%7Cext.wikimediamessages.styles%7Cskins.vector.icons%2Cstyles%7Cskins.vector.search.codex.styles%7Cwikibase.client.init&only=styles&skin=vector-2022"> <script async="" src="/w/load.php?lang=tl&modules=startup&only=scripts&raw=1&skin=vector-2022"></script> <meta name="ResourceLoaderDynamicStyles" content=""> <link rel="stylesheet" href="/w/load.php?lang=tl&modules=site.styles&only=styles&skin=vector-2022"> <meta name="generator" content="MediaWiki 1.44.0-wmf.4"> <meta name="referrer" content="origin"> <meta name="referrer" content="origin-when-cross-origin"> <meta name="robots" content="max-image-preview:standard"> <meta name="format-detection" content="telephone=no"> <meta property="og:image" content="https://upload.wikimedia.org/wikipedia/commons/e/e3/Scuola_di_atene_07.jpg"> <meta property="og:image:width" content="1200"> <meta property="og:image:height" content="1412"> <meta property="og:image" content="https://upload.wikimedia.org/wikipedia/commons/thumb/e/e3/Scuola_di_atene_07.jpg/800px-Scuola_di_atene_07.jpg"> <meta property="og:image:width" content="800"> <meta property="og:image:height" content="941"> <meta property="og:image" content="https://upload.wikimedia.org/wikipedia/commons/thumb/e/e3/Scuola_di_atene_07.jpg/640px-Scuola_di_atene_07.jpg"> <meta property="og:image:width" content="640"> <meta property="og:image:height" content="753"> <meta name="viewport" content="width=1120"> <meta property="og:title" content="Euclides - Wikipedia, ang malayang ensiklopedya"> <meta property="og:type" content="website"> <link rel="preconnect" href="//upload.wikimedia.org"> <link rel="alternate" media="only screen and (max-width: 640px)" href="//tl.m.wikipedia.org/wiki/Euclides"> <link rel="alternate" type="application/x-wiki" title="Baguhin" href="/w/index.php?title=Euclides&action=edit"> <link rel="apple-touch-icon" href="/static/apple-touch/wikipedia.png"> <link rel="icon" href="/static/favicon/wikipedia.ico"> <link rel="search" type="application/opensearchdescription+xml" href="/w/rest.php/v1/search" title="Wikipedia (tl)"> <link rel="EditURI" type="application/rsd+xml" href="//tl.wikipedia.org/w/api.php?action=rsd"> <link rel="canonical" href="https://tl.wikipedia.org/wiki/Euclides"> <link rel="license" href="https://creativecommons.org/licenses/by-sa/4.0/deed.tl"> <link rel="alternate" type="application/atom+xml" title="Atom feed ng Wikipedia" href="/w/index.php?title=Natatangi:Mga_huling_binago&feed=atom"> <link rel="dns-prefetch" href="//meta.wikimedia.org" /> <link rel="dns-prefetch" href="//login.wikimedia.org"> </head> <body class="skin--responsive skin-vector skin-vector-search-vue mediawiki ltr sitedir-ltr mw-hide-empty-elt ns-0 ns-subject mw-editable page-Euclides rootpage-Euclides skin-vector-2022 action-view"><a class="mw-jump-link" href="#bodyContent">Pumunta sa nilalaman</a> <div class="vector-header-container"> <header class="vector-header mw-header"> <div class="vector-header-start"> <nav class="vector-main-menu-landmark" aria-label="Sayt"> <div id="vector-main-menu-dropdown" class="vector-dropdown vector-main-menu-dropdown vector-button-flush-left vector-button-flush-right" > <input type="checkbox" id="vector-main-menu-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-main-menu-dropdown" class="vector-dropdown-checkbox " aria-label="Pangunahing pagpipilian" > <label id="vector-main-menu-dropdown-label" for="vector-main-menu-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-menu mw-ui-icon-wikimedia-menu"></span> <span class="vector-dropdown-label-text">Pangunahing pagpipilian</span> </label> <div class="vector-dropdown-content"> <div id="vector-main-menu-unpinned-container" class="vector-unpinned-container"> <div id="vector-main-menu" class="vector-main-menu vector-pinnable-element"> <div class="vector-pinnable-header vector-main-menu-pinnable-header vector-pinnable-header-unpinned" data-feature-name="main-menu-pinned" data-pinnable-element-id="vector-main-menu" data-pinned-container-id="vector-main-menu-pinned-container" data-unpinned-container-id="vector-main-menu-unpinned-container" > <div class="vector-pinnable-header-label">Pangunahing pagpipilian</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-main-menu.pin">ilipat sa gilid</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-main-menu.unpin">itago</button> </div> <div id="p-navigation" class="vector-menu mw-portlet mw-portlet-navigation" > <div class="vector-menu-heading"> Maglibot </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="n-mainpage-description" class="mw-list-item"><a href="/wiki/Unang_Pahina" title="Puntahan ang unang pahina [z]" accesskey="z"><span>Unang pahina</span></a></li><li id="n-contents" class="mw-list-item"><a href="/wiki/Wikipedia:Tingnan_ang_buod" title="Mga gabay sa pagbabasa ng laktaw-laktaw sa Wikipedia"><span>Mga nilalaman</span></a></li><li id="n-Napiling-nilalaman" class="mw-list-item"><a href="/wiki/Wikipedia:Mga_napiling_artikulo"><span>Napiling nilalaman</span></a></li><li id="n-randompage" class="mw-list-item"><a href="/wiki/Natatangi:Alin_man" title="Magpalabas ng kahit-anong artikulo [x]" accesskey="x"><span>Alinmang artikulo</span></a></li><li id="n-aboutsite" class="mw-list-item"><a href="/wiki/Wikipedia:Patungkol"><span>Patungkol sa Wikipedia</span></a></li><li id="n-currentevents" class="mw-list-item"><a href="/wiki/Wikipedia:Kasalukuyang_pangyayari" title="Hanapin ang mga impormasyon tungkol sa mga kamakailang kaganapan"><span>Mga kaganapan</span></a></li> </ul> </div> </div> <div id="p-Pakikihalubilo" class="vector-menu mw-portlet mw-portlet-Pakikihalubilo" > <div class="vector-menu-heading"> Pakikihalubilo </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="n-portal" class="mw-list-item"><a href="/wiki/Wikipedia:Puntahan_ng_pamayanan" title="Tungkol sa proyekto, ano ang maari mong gawin, at kung saan maari maghanap ng mga bagay"><span>Pamayanan</span></a></li><li id="n-Kapihan" class="mw-list-item"><a href="/wiki/Wikipedia:Kapihan"><span>Kapihan</span></a></li><li id="n-recentchanges" class="mw-list-item"><a href="/wiki/Natatangi:Mga_huling_binago" title="Tala ng mga huling pagbabago sa wiki. [r]" accesskey="r"><span>Mga huling binago</span></a></li><li id="n-contactpage" class="mw-list-item"><a href="/wiki/Wikipedia:Makipag-ugnayan_sa_amin" title="Paano makokontak ang Wikipedia"><span>Makipag-ugnayan</span></a></li><li id="n-help" class="mw-list-item"><a href="/wiki/Wikipedia:Tulong" title="Ang lugar para maghanap ng tulong sa Wikipedia."><span>Tulong</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> <a href="/wiki/Unang_Pahina" class="mw-logo"> <img class="mw-logo-icon" src="/static/images/icons/wikipedia.png" alt="" aria-hidden="true" height="50" width="50"> <span class="mw-logo-container skin-invert"> <img class="mw-logo-wordmark" alt="Wikipedia" src="/static/images/mobile/copyright/wikipedia-wordmark-en.svg" style="width: 7.5em; height: 1.125em;"> <img class="mw-logo-tagline" alt="Ang Malayang Ensiklopedya" src="/static/images/mobile/copyright/wikipedia-tagline-tl.svg" width="119" height="13" style="width: 7.4375em; height: 0.8125em;"> </span> </a> </div> <div class="vector-header-end"> <div id="p-search" role="search" class="vector-search-box-vue vector-search-box-collapses vector-search-box-show-thumbnail vector-search-box-auto-expand-width vector-search-box"> <a href="/wiki/Natatangi:Maghanap" class="cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only search-toggle" title="Maghanap sa Wikipedia [f]" accesskey="f"><span class="vector-icon mw-ui-icon-search mw-ui-icon-wikimedia-search"></span> <span>Hanapin</span> </a> <div class="vector-typeahead-search-container"> <div class="cdx-typeahead-search cdx-typeahead-search--show-thumbnail cdx-typeahead-search--auto-expand-width"> <form action="/w/index.php" id="searchform" class="cdx-search-input cdx-search-input--has-end-button"> <div id="simpleSearch" class="cdx-search-input__input-wrapper" data-search-loc="header-moved"> <div class="cdx-text-input cdx-text-input--has-start-icon"> <input class="cdx-text-input__input" type="search" name="search" placeholder="Maghanap sa Wikipedia" aria-label="Maghanap sa Wikipedia" autocapitalize="sentences" title="Maghanap sa Wikipedia [f]" accesskey="f" id="searchInput" > <span class="cdx-text-input__icon cdx-text-input__start-icon"></span> </div> <input type="hidden" name="title" value="Natatangi:Maghanap"> </div> <button class="cdx-button cdx-search-input__end-button">Hanapin</button> </form> </div> </div> </div> <nav class="vector-user-links vector-user-links-wide" aria-label="Mga pansariling kagamitan"> <div class="vector-user-links-main"> <div id="p-vector-user-menu-preferences" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <div id="p-vector-user-menu-userpage" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <nav class="vector-appearance-landmark" aria-label="Itsura"> <div id="vector-appearance-dropdown" class="vector-dropdown " title="Change the appearance of the page's font size, width, and color" > <input type="checkbox" id="vector-appearance-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-appearance-dropdown" class="vector-dropdown-checkbox " aria-label="Itsura" > <label id="vector-appearance-dropdown-label" for="vector-appearance-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-appearance mw-ui-icon-wikimedia-appearance"></span> <span class="vector-dropdown-label-text">Itsura</span> </label> <div class="vector-dropdown-content"> <div id="vector-appearance-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <div id="p-vector-user-menu-notifications" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <div id="p-vector-user-menu-overflow" class="vector-menu mw-portlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="//donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&utm_medium=sidebar&utm_campaign=C13_tl.wikipedia.org&uselang=tl" class=""><span>Donasyon</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=Natatangi:Likhain_ang_kuwenta&returnto=Euclides" title="Mas maganda kung gagawa ka ng account at magla-login; gayunpaman, hindi ka pinipilit gawin ito" class=""><span>Gumawa ng account</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=Natatangi:Paglagda_ng_tagagamit&returnto=Euclides" title="Mas maganda kung magla-login ka; gayunpaman, hindi ka pinipilit gawin ito [o]" accesskey="o" class=""><span>Mag-login</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="Marami pang pagpipilian" > <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="Mga pansariling kagamitan" > <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">Mga pansariling kagamitan</span> </label> <div class="vector-dropdown-content"> <div id="p-personal" class="vector-menu mw-portlet mw-portlet-personal" title="User menu" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport" class="user-links-collapsible-item mw-list-item"><a href="//donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&utm_medium=sidebar&utm_campaign=C13_tl.wikipedia.org&uselang=tl"><span>Donasyon</span></a></li><li id="pt-contribute" class="mw-list-item"><a href="/wiki/Natatangi:Contribute"><span class="vector-icon mw-ui-icon-edit mw-ui-icon-wikimedia-edit"></span> <span>Mag-ambag</span></a></li><li id="pt-createaccount" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Natatangi:Likhain_ang_kuwenta&returnto=Euclides" title="Mas maganda kung gagawa ka ng account at magla-login; gayunpaman, hindi ka pinipilit gawin ito"><span class="vector-icon mw-ui-icon-userAdd mw-ui-icon-wikimedia-userAdd"></span> <span>Gumawa ng account</span></a></li><li id="pt-login" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Natatangi:Paglagda_ng_tagagamit&returnto=Euclides" title="Mas maganda kung magla-login ka; gayunpaman, hindi ka pinipilit gawin ito [o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>Mag-login</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"> Mga pahina para sa naka-logout na mga patnugot o editor <a href="/wiki/Wikipedia:Maligayang_pagdating!" aria-label="Alamin pa ang tungkol sa pagpapatnugot"><span>alamin pa</span></a> </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-anontalk" class="mw-list-item"><a href="/wiki/Natatangi:Usapan_ko" title="Usapang tungkol sa mga pagbabagong ginawa sa ip address na ito [n]" accesskey="n"><span>Usapan</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="Sayt"> <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="Mga nilalaman" 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">Mga nilalaman</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">ilipat sa gilid</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">itago</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">Simula</div> </a> </li> <li id="toc-Mga_sanggunian" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Mga_sanggunian"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Mga sanggunian</span> </div> </a> <ul id="toc-Mga_sanggunian-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="Mga nilalaman" 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="Itago/Ipakita ang talaan ng mga nilalaman" > <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">Itago/Ipakita ang talaan ng mga nilalaman</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">Euclides</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="Pumunta sa isang artikulo na nakasulat sa ibang wika. Mayroon ito sa 161 (na) wika" > <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-161" 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">161 wika</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/Euklides" title="Euklides – Afrikaans" lang="af" hreflang="af" data-title="Euklides" data-language-autonym="Afrikaans" data-language-local-name="Afrikaans" 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/Euklid" title="Euklid – Alemannic" lang="gsw" hreflang="gsw" data-title="Euklid" data-language-autonym="Alemannisch" data-language-local-name="Alemannic" class="interlanguage-link-target"><span>Alemannisch</span></a></li><li class="interlanguage-link interwiki-am mw-list-item"><a href="https://am.wikipedia.org/wiki/%E1%8B%A9%E1%8A%AD%E1%88%8A%E1%8B%B5" title="ዩክሊድ – Amharic" lang="am" hreflang="am" data-title="ዩክሊድ" data-language-autonym="አማርኛ" data-language-local-name="Amharic" class="interlanguage-link-target"><span>አማርኛ</span></a></li><li class="interlanguage-link interwiki-an mw-list-item"><a href="https://an.wikipedia.org/wiki/Euclides" title="Euclides – Aragonese" lang="an" hreflang="an" data-title="Euclides" data-language-autonym="Aragonés" data-language-local-name="Aragonese" class="interlanguage-link-target"><span>Aragonés</span></a></li><li class="interlanguage-link interwiki-ann mw-list-item"><a href="https://ann.wikipedia.org/wiki/Yukilidi" title="Yukilidi – Obolo" lang="ann" hreflang="ann" data-title="Yukilidi" data-language-autonym="Obolo" data-language-local-name="Obolo" class="interlanguage-link-target"><span>Obolo</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%A5%D9%82%D9%84%D9%8A%D8%AF%D8%B3" title="إقليدس – Arabic" lang="ar" hreflang="ar" data-title="إقليدس" data-language-autonym="العربية" data-language-local-name="Arabic" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-arz mw-list-item"><a href="https://arz.wikipedia.org/wiki/%D8%A7%D9%8A%D9%83%D9%84%D9%8A%D8%AF%D9%8A%D8%B3" title="ايكليديس – Egyptian Arabic" lang="arz" hreflang="arz" data-title="ايكليديس" 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%87%E0%A6%89%E0%A6%95%E0%A7%8D%E0%A6%B2%E0%A6%BF%E0%A6%A1" title="ইউক্লিড – Assamese" lang="as" hreflang="as" data-title="ইউক্লিড" data-language-autonym="অসমীয়া" data-language-local-name="Assamese" 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/Euclides" title="Euclides – Asturian" lang="ast" hreflang="ast" data-title="Euclides" data-language-autonym="Asturianu" data-language-local-name="Asturian" 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%AD%D0%B2%D0%BA%D0%BB%D0%B8%D0%B4" title="Эвклид – Avaric" lang="av" hreflang="av" data-title="Эвклид" data-language-autonym="Авар" data-language-local-name="Avaric" class="interlanguage-link-target"><span>Авар</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/Evklid" title="Evklid – Azerbaijani" lang="az" hreflang="az" data-title="Evklid" data-language-autonym="Azərbaycanca" data-language-local-name="Azerbaijani" 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/%D8%A7%D9%88%D9%82%D9%84%DB%8C%D8%AF%D8%B3" title="اوقلیدس – South Azerbaijani" lang="azb" hreflang="azb" data-title="اوقلیدس" 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%95%D0%B2%D0%BA%D0%BB%D0%B8%D0%B4" title="Евклид – Bashkir" lang="ba" hreflang="ba" data-title="Евклид" data-language-autonym="Башҡортса" data-language-local-name="Bashkir" class="interlanguage-link-target"><span>Башҡортса</span></a></li><li class="interlanguage-link interwiki-bat-smg mw-list-item"><a href="https://bat-smg.wikipedia.org/wiki/Eukl%C4%97ds" title="Euklėds – Samogitian" lang="sgs" hreflang="sgs" data-title="Euklėds" 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/Euclid" title="Euclid – Central Bikol" lang="bcl" hreflang="bcl" data-title="Euclid" 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%AD%D1%9E%D0%BA%D0%BB%D1%96%D0%B4" title="Эўклід – Belarusian" lang="be" hreflang="be" data-title="Эўклід" data-language-autonym="Беларуская" data-language-local-name="Belarusian" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-be-x-old mw-list-item"><a href="https://be-tarask.wikipedia.org/wiki/%D0%AD%D1%9E%D0%BA%D0%BB%D1%96%D0%B4" title="Эўклід – Belarusian (Taraškievica orthography)" lang="be-tarask" hreflang="be-tarask" data-title="Эўклід" 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-bew mw-list-item"><a href="https://bew.wikipedia.org/wiki/Iklid%C3%A8s" title="Iklidès – Betawi" lang="bew" hreflang="bew" data-title="Iklidès" data-language-autonym="Betawi" data-language-local-name="Betawi" class="interlanguage-link-target"><span>Betawi</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%95%D0%B2%D0%BA%D0%BB%D0%B8%D0%B4" title="Евклид – Bulgarian" lang="bg" hreflang="bg" data-title="Евклид" data-language-autonym="Български" data-language-local-name="Bulgarian" 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%AF%E0%A5%82%E0%A4%95%E0%A5%8D%E0%A4%B2%E0%A4%BF%E0%A4%A1" title="यूक्लिड – Bhojpuri" lang="bh" hreflang="bh" data-title="यूक्लिड" data-language-autonym="भोजपुरी" data-language-local-name="Bhojpuri" class="interlanguage-link-target"><span>भोजपुरी</span></a></li><li class="interlanguage-link interwiki-bi mw-list-item"><a href="https://bi.wikipedia.org/wiki/Euclid" title="Euclid – Bislama" lang="bi" hreflang="bi" data-title="Euclid" data-language-autonym="Bislama" data-language-local-name="Bislama" class="interlanguage-link-target"><span>Bislama</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%87%E0%A6%89%E0%A6%95%E0%A7%8D%E0%A6%B2%E0%A6%BF%E0%A6%A1" title="ইউক্লিড – Bangla" lang="bn" hreflang="bn" data-title="ইউক্লিড" data-language-autonym="বাংলা" data-language-local-name="Bangla" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-bo mw-list-item"><a href="https://bo.wikipedia.org/wiki/%E0%BD%A1%E0%BD%BC%E0%BD%A0%E0%BD%B4%E0%BC%8B%E0%BD%81%E0%BD%BA%E0%BC%8B%E0%BD%A3%E0%BD%BA%E0%BC%8B%E0%BD%8F%E0%BD%BA%E0%BC%8D" title="ཡོའུ་ཁེ་ལེ་ཏེ། – Tibetan" lang="bo" hreflang="bo" data-title="ཡོའུ་ཁེ་ལེ་ཏེ།" data-language-autonym="བོད་ཡིག" data-language-local-name="Tibetan" class="interlanguage-link-target"><span>བོད་ཡིག</span></a></li><li class="interlanguage-link interwiki-br mw-list-item"><a href="https://br.wikipedia.org/wiki/Euklides" title="Euklides – Breton" lang="br" hreflang="br" data-title="Euklides" data-language-autonym="Brezhoneg" data-language-local-name="Breton" 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/Euklid" title="Euklid – Bosnian" lang="bs" hreflang="bs" data-title="Euklid" data-language-autonym="Bosanski" data-language-local-name="Bosnian" 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/Euklides" title="Euklides – Batak Mandailing" lang="btm" hreflang="btm" data-title="Euklides" 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-bxr mw-list-item"><a href="https://bxr.wikipedia.org/wiki/%D0%95%D0%B2%D0%BA%D0%BB%D0%B8%D0%B4" title="Евклид – Russia Buriat" lang="bxr" hreflang="bxr" data-title="Евклид" data-language-autonym="Буряад" data-language-local-name="Russia Buriat" class="interlanguage-link-target"><span>Буряад</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Euclides" title="Euclides – Catalan" lang="ca" hreflang="ca" data-title="Euclides" data-language-autonym="Català" data-language-local-name="Catalan" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-ce mw-list-item"><a href="https://ce.wikipedia.org/wiki/%D0%95%D0%B2%D0%BA%D0%BB%D0%B8%D0%B4" title="Евклид – Chechen" lang="ce" hreflang="ce" data-title="Евклид" data-language-autonym="Нохчийн" data-language-local-name="Chechen" class="interlanguage-link-target"><span>Нохчийн</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%D8%A6%DB%8C%D9%82%D9%84%DB%8C%D8%AF%D8%B3" title="ئیقلیدس – Central Kurdish" lang="ckb" hreflang="ckb" data-title="ئیقلیدس" data-language-autonym="کوردی" data-language-local-name="Central Kurdish" 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/Eukleid%C3%A9s" title="Eukleidés – Czech" lang="cs" hreflang="cs" data-title="Eukleidés" data-language-autonym="Čeština" data-language-local-name="Czech" 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%95%D0%B2%D0%BA%D0%BB%D0%B8%D0%B4" title="Евклид – Chuvash" lang="cv" hreflang="cv" data-title="Евклид" data-language-autonym="Чӑвашла" data-language-local-name="Chuvash" 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/Euclid" title="Euclid – Welsh" lang="cy" hreflang="cy" data-title="Euclid" data-language-autonym="Cymraeg" data-language-local-name="Welsh" 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/Euklid" title="Euklid – Danish" lang="da" hreflang="da" data-title="Euklid" data-language-autonym="Dansk" data-language-local-name="Danish" 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/Euklid" title="Euklid – German" lang="de" hreflang="de" data-title="Euklid" data-language-autonym="Deutsch" data-language-local-name="German" 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/%C3%96klid" title="Öklid – Zazaki" lang="diq" hreflang="diq" data-title="Öklid" data-language-autonym="Zazaki" data-language-local-name="Zazaki" class="interlanguage-link-target"><span>Zazaki</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%95%CF%85%CE%BA%CE%BB%CE%B5%CE%AF%CE%B4%CE%B7%CF%82" title="Ευκλείδης – Greek" lang="el" hreflang="el" data-title="Ευκλείδης" data-language-autonym="Ελληνικά" data-language-local-name="Greek" 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/Euclid" title="Euclid – English" lang="en" hreflang="en" data-title="Euclid" data-language-autonym="English" data-language-local-name="English" 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/E%C5%ADklido" title="Eŭklido – Esperanto" lang="eo" hreflang="eo" data-title="Eŭklido" data-language-autonym="Esperanto" data-language-local-name="Esperanto" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Euclides" title="Euclides – Spanish" lang="es" hreflang="es" data-title="Euclides" data-language-autonym="Español" data-language-local-name="Spanish" 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/Eukleides" title="Eukleides – Estonian" lang="et" hreflang="et" data-title="Eukleides" data-language-autonym="Eesti" data-language-local-name="Estonian" 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/Euklides" title="Euklides – Basque" lang="eu" hreflang="eu" data-title="Euklides" data-language-autonym="Euskara" data-language-local-name="Basque" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-ext mw-list-item"><a href="https://ext.wikipedia.org/wiki/Uclidi" title="Uclidi – Extremaduran" lang="ext" hreflang="ext" data-title="Uclidi" data-language-autonym="Estremeñu" data-language-local-name="Extremaduran" class="interlanguage-link-target"><span>Estremeñu</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%A7%D9%82%D9%84%DB%8C%D8%AF%D8%B3" title="اقلیدس – Persian" lang="fa" hreflang="fa" data-title="اقلیدس" data-language-autonym="فارسی" data-language-local-name="Persian" 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/Eukleides" title="Eukleides – Finnish" lang="fi" hreflang="fi" data-title="Eukleides" data-language-autonym="Suomi" data-language-local-name="Finnish" 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/Eukleides" title="Eukleides – Võro" lang="vro" hreflang="vro" data-title="Eukleides" data-language-autonym="Võro" data-language-local-name="Võro" class="interlanguage-link-target"><span>Võro</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Euclide" title="Euclide – French" lang="fr" hreflang="fr" data-title="Euclide" data-language-autonym="Français" data-language-local-name="French" 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/Euklid" title="Euklid – Northern Frisian" lang="frr" hreflang="frr" data-title="Euklid" data-language-autonym="Nordfriisk" data-language-local-name="Northern Frisian" 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/Euklides" title="Euklides – Western Frisian" lang="fy" hreflang="fy" data-title="Euklides" data-language-autonym="Frysk" data-language-local-name="Western Frisian" class="interlanguage-link-target"><span>Frysk</span></a></li><li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://ga.wikipedia.org/wiki/Eoicl%C3%ADd%C3%A9as" title="Eoiclídéas – Irish" lang="ga" hreflang="ga" data-title="Eoiclídéas" data-language-autonym="Gaeilge" data-language-local-name="Irish" class="interlanguage-link-target"><span>Gaeilge</span></a></li><li class="interlanguage-link interwiki-gan mw-list-item"><a href="https://gan.wikipedia.org/wiki/%E6%AD%90%E5%87%A0%E9%87%8C%E5%BE%97" title="歐几里得 – Gan" lang="gan" hreflang="gan" data-title="歐几里得" data-language-autonym="贛語" data-language-local-name="Gan" class="interlanguage-link-target"><span>贛語</span></a></li><li class="interlanguage-link interwiki-gcr mw-list-item"><a href="https://gcr.wikipedia.org/wiki/%C3%89klid" title="Éklid – Guianan Creole" lang="gcr" hreflang="gcr" data-title="Éklid" data-language-autonym="Kriyòl gwiyannen" data-language-local-name="Guianan Creole" class="interlanguage-link-target"><span>Kriyòl gwiyannen</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Euclides" title="Euclides – Galician" lang="gl" hreflang="gl" data-title="Euclides" data-language-autonym="Galego" data-language-local-name="Galician" 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/Euclides" title="Euclides – Guarani" lang="gn" hreflang="gn" data-title="Euclides" data-language-autonym="Avañe'ẽ" data-language-local-name="Guarani" 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%AF%E0%AB%81%E0%AA%95%E0%AB%8D%E0%AA%B2%E0%AA%BF%E0%AA%A1" title="યુક્લિડ – Gujarati" lang="gu" hreflang="gu" data-title="યુક્લિડ" data-language-autonym="ગુજરાતી" data-language-local-name="Gujarati" class="interlanguage-link-target"><span>ગુજરાતી</span></a></li><li class="interlanguage-link interwiki-ha mw-list-item"><a href="https://ha.wikipedia.org/wiki/Euclid" title="Euclid – Hausa" lang="ha" hreflang="ha" data-title="Euclid" data-language-autonym="Hausa" data-language-local-name="Hausa" class="interlanguage-link-target"><span>Hausa</span></a></li><li class="interlanguage-link interwiki-hak mw-list-item"><a href="https://hak.wikipedia.org/wiki/Euclid" title="Euclid – Hakka Chinese" lang="hak" hreflang="hak" data-title="Euclid" data-language-autonym="客家語 / Hak-kâ-ngî" data-language-local-name="Hakka Chinese" class="interlanguage-link-target"><span>客家語 / Hak-kâ-ngî</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%90%D7%95%D7%A7%D7%9C%D7%99%D7%93%D7%A1" title="אוקלידס – Hebrew" lang="he" hreflang="he" data-title="אוקלידס" data-language-autonym="עברית" data-language-local-name="Hebrew" 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%AF%E0%A5%82%E0%A4%95%E0%A5%8D%E0%A4%B2%E0%A4%BF%E0%A4%A1" title="यूक्लिड – Hindi" lang="hi" hreflang="hi" data-title="यूक्लिड" data-language-autonym="हिन्दी" data-language-local-name="Hindi" 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/Euclid" title="Euclid – Fiji Hindi" lang="hif" hreflang="hif" data-title="Euclid" 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/Euklid" title="Euklid – Croatian" lang="hr" hreflang="hr" data-title="Euklid" data-language-autonym="Hrvatski" data-language-local-name="Croatian" 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/Eukleid%C3%A9sz_(matematikus)" title="Eukleidész (matematikus) – Hungarian" lang="hu" hreflang="hu" data-title="Eukleidész (matematikus)" data-language-autonym="Magyar" data-language-local-name="Hungarian" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D4%B7%D5%BE%D5%AF%D5%AC%D5%AB%D5%A4%D5%A5%D5%BD" title="Էվկլիդես – Armenian" lang="hy" hreflang="hy" data-title="Էվկլիդես" data-language-autonym="Հայերեն" data-language-local-name="Armenian" 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/Euclide" title="Euclide – Interlingua" lang="ia" hreflang="ia" data-title="Euclide" data-language-autonym="Interlingua" data-language-local-name="Interlingua" 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/Euklides" title="Euklides – Indonesian" lang="id" hreflang="id" data-title="Euklides" data-language-autonym="Bahasa Indonesia" data-language-local-name="Indonesian" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-ie mw-list-item"><a href="https://ie.wikipedia.org/wiki/Euclid" title="Euclid – Interlingue" lang="ie" hreflang="ie" data-title="Euclid" data-language-autonym="Interlingue" data-language-local-name="Interlingue" class="interlanguage-link-target"><span>Interlingue</span></a></li><li class="interlanguage-link interwiki-ilo mw-list-item"><a href="https://ilo.wikipedia.org/wiki/Euklides" title="Euklides – Iloko" lang="ilo" hreflang="ilo" data-title="Euklides" data-language-autonym="Ilokano" data-language-local-name="Iloko" 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/Euklid" title="Euklid – Ido" lang="io" hreflang="io" data-title="Euklid" data-language-autonym="Ido" data-language-local-name="Ido" class="interlanguage-link-target"><span>Ido</span></a></li><li class="interlanguage-link interwiki-is mw-list-item"><a href="https://is.wikipedia.org/wiki/Evkl%C3%AD%C3%B0" title="Evklíð – Icelandic" lang="is" hreflang="is" data-title="Evklíð" data-language-autonym="Íslenska" data-language-local-name="Icelandic" 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/Euclide" title="Euclide – Italian" lang="it" hreflang="it" data-title="Euclide" data-language-autonym="Italiano" data-language-local-name="Italian" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E3%82%A8%E3%82%A6%E3%82%AF%E3%83%AC%E3%82%A4%E3%83%87%E3%82%B9" title="エウクレイデス – Japanese" lang="ja" hreflang="ja" data-title="エウクレイデス" data-language-autonym="日本語" data-language-local-name="Japanese" 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/Euclid" title="Euclid – Jamaican Creole English" lang="jam" hreflang="jam" data-title="Euclid" 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-jbo mw-list-item"><a href="https://jbo.wikipedia.org/wiki/euklides" title="euklides – Lojban" lang="jbo" hreflang="jbo" data-title="euklides" data-language-autonym="La .lojban." data-language-local-name="Lojban" class="interlanguage-link-target"><span>La .lojban.</span></a></li><li class="interlanguage-link interwiki-jv mw-list-item"><a href="https://jv.wikipedia.org/wiki/Euklides" title="Euklides – Javanese" lang="jv" hreflang="jv" data-title="Euklides" data-language-autonym="Jawa" data-language-local-name="Javanese" class="interlanguage-link-target"><span>Jawa</span></a></li><li class="interlanguage-link interwiki-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/%E1%83%94%E1%83%95%E1%83%99%E1%83%9A%E1%83%98%E1%83%93%E1%83%94" title="ევკლიდე – Georgian" lang="ka" hreflang="ka" data-title="ევკლიდე" data-language-autonym="ქართული" data-language-local-name="Georgian" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-kaa mw-list-item"><a href="https://kaa.wikipedia.org/wiki/Evklid" title="Evklid – Kara-Kalpak" lang="kaa" hreflang="kaa" data-title="Evklid" data-language-autonym="Qaraqalpaqsha" data-language-local-name="Kara-Kalpak" class="interlanguage-link-target"><span>Qaraqalpaqsha</span></a></li><li class="interlanguage-link interwiki-kbp mw-list-item"><a href="https://kbp.wikipedia.org/wiki/Euclid" title="Euclid – Kabiye" lang="kbp" hreflang="kbp" data-title="Euclid" data-language-autonym="Kabɩyɛ" data-language-local-name="Kabiye" class="interlanguage-link-target"><span>Kabɩyɛ</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%95%D0%B2%D0%BA%D0%BB%D0%B8%D0%B4" title="Евклид – Kazakh" lang="kk" hreflang="kk" data-title="Евклид" data-language-autonym="Қазақша" data-language-local-name="Kazakh" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-kn mw-list-item"><a href="https://kn.wikipedia.org/wiki/%E0%B2%AF%E0%B3%82%E0%B2%95%E0%B3%8D%E0%B2%B2%E0%B2%BF%E0%B2%A1%E0%B3%8D" title="ಯೂಕ್ಲಿಡ್ – Kannada" lang="kn" hreflang="kn" data-title="ಯೂಕ್ಲಿಡ್" data-language-autonym="ಕನ್ನಡ" data-language-local-name="Kannada" class="interlanguage-link-target"><span>ಕನ್ನಡ</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EC%97%90%EC%9A%B0%ED%81%B4%EB%A0%88%EC%9D%B4%EB%8D%B0%EC%8A%A4" title="에우클레이데스 – Korean" lang="ko" hreflang="ko" data-title="에우클레이데스" data-language-autonym="한국어" data-language-local-name="Korean" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-ksh mw-list-item"><a href="https://ksh.wikipedia.org/wiki/Euklid_va_Alexandria" title="Euklid va Alexandria – Colognian" lang="ksh" hreflang="ksh" data-title="Euklid va Alexandria" data-language-autonym="Ripoarisch" data-language-local-name="Colognian" class="interlanguage-link-target"><span>Ripoarisch</span></a></li><li class="interlanguage-link interwiki-ku mw-list-item"><a href="https://ku.wikipedia.org/wiki/Iql%C3%AEdes" title="Iqlîdes – Kurdish" lang="ku" hreflang="ku" data-title="Iqlîdes" data-language-autonym="Kurdî" data-language-local-name="Kurdish" 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/Euclid" title="Euclid – Cornish" lang="kw" hreflang="kw" data-title="Euclid" data-language-autonym="Kernowek" data-language-local-name="Cornish" 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%95%D0%B2%D0%BA%D0%BB%D0%B8%D0%B4" title="Евклид – Kyrgyz" lang="ky" hreflang="ky" data-title="Евклид" data-language-autonym="Кыргызча" data-language-local-name="Kyrgyz" 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/Euclides" title="Euclides – Latin" lang="la" hreflang="la" data-title="Euclides" data-language-autonym="Latina" data-language-local-name="Latin" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-lez mw-list-item"><a href="https://lez.wikipedia.org/wiki/%D0%95%D0%B2%D0%BA%D0%BB%D0%B8%D0%B4" title="Евклид – Lezghian" lang="lez" hreflang="lez" data-title="Евклид" data-language-autonym="Лезги" data-language-local-name="Lezghian" class="interlanguage-link-target"><span>Лезги</span></a></li><li class="interlanguage-link interwiki-li mw-list-item"><a href="https://li.wikipedia.org/wiki/Euclides" title="Euclides – Limburgish" lang="li" hreflang="li" data-title="Euclides" data-language-autonym="Limburgs" data-language-local-name="Limburgish" 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/Euclide" title="Euclide – Ligurian" lang="lij" hreflang="lij" data-title="Euclide" data-language-autonym="Ligure" data-language-local-name="Ligurian" 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/Euclid" title="Euclid – Lombard" lang="lmo" hreflang="lmo" data-title="Euclid" data-language-autonym="Lombard" data-language-local-name="Lombard" class="interlanguage-link-target"><span>Lombard</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Euklidas_Aleksandrietis" title="Euklidas Aleksandrietis – Lithuanian" lang="lt" hreflang="lt" data-title="Euklidas Aleksandrietis" data-language-autonym="Lietuvių" data-language-local-name="Lithuanian" 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/Eikl%C4%ABds" title="Eiklīds – Latvian" lang="lv" hreflang="lv" data-title="Eiklīds" data-language-autonym="Latviešu" data-language-local-name="Latvian" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-mg mw-list-item"><a href="https://mg.wikipedia.org/wiki/Eoklida" title="Eoklida – Malagasy" lang="mg" hreflang="mg" data-title="Eoklida" data-language-autonym="Malagasy" data-language-local-name="Malagasy" class="interlanguage-link-target"><span>Malagasy</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%95%D0%B2%D0%BA%D0%BB%D0%B8%D0%B4" title="Евклид – Macedonian" lang="mk" hreflang="mk" data-title="Евклид" data-language-autonym="Македонски" data-language-local-name="Macedonian" 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%AF%E0%B5%82%E0%B4%95%E0%B5%8D%E0%B4%B2%E0%B4%BF%E0%B4%A1%E0%B5%8D" title="യൂക്ലിഡ് – Malayalam" lang="ml" hreflang="ml" data-title="യൂക്ലിഡ്" data-language-autonym="മലയാളം" data-language-local-name="Malayalam" 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%95%D0%B2%D0%BA%D0%BB%D0%B8%D0%B4" title="Евклид – Mongolian" lang="mn" hreflang="mn" data-title="Евклид" data-language-autonym="Монгол" data-language-local-name="Mongolian" class="interlanguage-link-target"><span>Монгол</span></a></li><li class="interlanguage-link interwiki-mr mw-list-item"><a href="https://mr.wikipedia.org/wiki/%E0%A4%AF%E0%A5%81%E0%A4%95%E0%A5%8D%E0%A4%B2%E0%A4%BF%E0%A4%A1" title="युक्लिड – Marathi" lang="mr" hreflang="mr" data-title="युक्लिड" data-language-autonym="मराठी" data-language-local-name="Marathi" 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/Euclid" title="Euclid – Malay" lang="ms" hreflang="ms" data-title="Euclid" data-language-autonym="Bahasa Melayu" data-language-local-name="Malay" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-mt mw-list-item"><a href="https://mt.wikipedia.org/wiki/Ewklide" title="Ewklide – Maltese" lang="mt" hreflang="mt" data-title="Ewklide" data-language-autonym="Malti" data-language-local-name="Maltese" class="interlanguage-link-target"><span>Malti</span></a></li><li class="interlanguage-link interwiki-mwl mw-list-item"><a href="https://mwl.wikipedia.org/wiki/Ouclides" title="Ouclides – Mirandese" lang="mwl" hreflang="mwl" data-title="Ouclides" data-language-autonym="Mirandés" data-language-local-name="Mirandese" 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%9A%E1%80%B0%E1%80%80%E1%80%9C%E1%80%85%E1%80%BA" title="ယူကလစ် – Burmese" lang="my" hreflang="my" data-title="ယူကလစ်" data-language-autonym="မြန်မာဘာသာ" data-language-local-name="Burmese" class="interlanguage-link-target"><span>မြန်မာဘာသာ</span></a></li><li class="interlanguage-link interwiki-nds mw-list-item"><a href="https://nds.wikipedia.org/wiki/Euklid" title="Euklid – Low German" lang="nds" hreflang="nds" data-title="Euklid" data-language-autonym="Plattdüütsch" data-language-local-name="Low German" class="interlanguage-link-target"><span>Plattdüütsch</span></a></li><li class="interlanguage-link interwiki-new mw-list-item"><a href="https://new.wikipedia.org/wiki/%E0%A4%AF%E0%A5%81%E0%A4%95%E0%A5%8D%E0%A4%B2%E0%A4%BF%E0%A4%A6" title="युक्लिद – Newari" lang="new" hreflang="new" data-title="युक्लिद" data-language-autonym="नेपाल भाषा" data-language-local-name="Newari" class="interlanguage-link-target"><span>नेपाल भाषा</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Euclides_van_Alexandri%C3%AB" title="Euclides van Alexandrië – Dutch" lang="nl" hreflang="nl" data-title="Euclides van Alexandrië" data-language-autonym="Nederlands" data-language-local-name="Dutch" 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/Evklid" title="Evklid – Norwegian Nynorsk" lang="nn" hreflang="nn" data-title="Evklid" data-language-autonym="Norsk nynorsk" data-language-local-name="Norwegian Nynorsk" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Euklid" title="Euklid – Norwegian Bokmål" lang="nb" hreflang="nb" data-title="Euklid" data-language-autonym="Norsk bokmål" data-language-local-name="Norwegian Bokmål" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-oc mw-list-item"><a href="https://oc.wikipedia.org/wiki/Euclides" title="Euclides – Occitan" lang="oc" hreflang="oc" data-title="Euclides" data-language-autonym="Occitan" data-language-local-name="Occitan" class="interlanguage-link-target"><span>Occitan</span></a></li><li class="interlanguage-link interwiki-olo mw-list-item"><a href="https://olo.wikipedia.org/wiki/Eukleides" title="Eukleides – Livvi-Karelian" lang="olo" hreflang="olo" data-title="Eukleides" data-language-autonym="Livvinkarjala" data-language-local-name="Livvi-Karelian" class="interlanguage-link-target"><span>Livvinkarjala</span></a></li><li class="interlanguage-link interwiki-om mw-list-item"><a href="https://om.wikipedia.org/wiki/Yuukiliid" title="Yuukiliid – Oromo" lang="om" hreflang="om" data-title="Yuukiliid" data-language-autonym="Oromoo" data-language-local-name="Oromo" class="interlanguage-link-target"><span>Oromoo</span></a></li><li class="interlanguage-link interwiki-or mw-list-item"><a href="https://or.wikipedia.org/wiki/%E0%AD%9F%E0%AD%81%E0%AC%95%E0%AD%8D%E0%AC%B2%E0%AC%BF%E0%AC%A1%E0%AD%8D" title="ୟୁକ୍ଲିଡ୍ – Odia" lang="or" hreflang="or" data-title="ୟୁକ୍ଲିଡ୍" data-language-autonym="ଓଡ଼ିଆ" data-language-local-name="Odia" class="interlanguage-link-target"><span>ଓଡ଼ିଆ</span></a></li><li class="interlanguage-link interwiki-pa mw-list-item"><a href="https://pa.wikipedia.org/wiki/%E0%A8%AF%E0%A9%82%E0%A8%95%E0%A8%B2%E0%A8%BF%E0%A8%A1" title="ਯੂਕਲਿਡ – Punjabi" lang="pa" hreflang="pa" data-title="ਯੂਕਲਿਡ" data-language-autonym="ਪੰਜਾਬੀ" data-language-local-name="Punjabi" class="interlanguage-link-target"><span>ਪੰਜਾਬੀ</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Euklides" title="Euklides – Polish" lang="pl" hreflang="pl" data-title="Euklides" data-language-autonym="Polski" data-language-local-name="Polish" 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/Euclid" title="Euclid – Piedmontese" lang="pms" hreflang="pms" data-title="Euclid" data-language-autonym="Piemontèis" data-language-local-name="Piedmontese" class="interlanguage-link-target"><span>Piemontèis</span></a></li><li class="interlanguage-link interwiki-pnb mw-list-item"><a href="https://pnb.wikipedia.org/wiki/%D8%A7%D9%82%D9%84%DB%8C%D8%AF%D8%B3" title="اقلیدس – Western Punjabi" lang="pnb" hreflang="pnb" data-title="اقلیدس" data-language-autonym="پنجابی" data-language-local-name="Western Punjabi" class="interlanguage-link-target"><span>پنجابی</span></a></li><li class="interlanguage-link interwiki-ps mw-list-item"><a href="https://ps.wikipedia.org/wiki/%D8%A7%D9%82%D9%84%D9%8A%D8%AF%D8%B3" title="اقليدس – Pashto" lang="ps" hreflang="ps" data-title="اقليدس" data-language-autonym="پښتو" data-language-local-name="Pashto" class="interlanguage-link-target"><span>پښتو</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Euclides" title="Euclides – Portuguese" lang="pt" hreflang="pt" data-title="Euclides" data-language-autonym="Português" data-language-local-name="Portuguese" 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/Euclid" title="Euclid – Romanian" lang="ro" hreflang="ro" data-title="Euclid" data-language-autonym="Română" data-language-local-name="Romanian" 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%95%D0%B2%D0%BA%D0%BB%D0%B8%D0%B4" title="Евклид – Russian" lang="ru" hreflang="ru" data-title="Евклид" data-language-autonym="Русский" data-language-local-name="Russian" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-rue mw-list-item"><a href="https://rue.wikipedia.org/wiki/%D0%95%D0%B2%D0%BA%D0%BB%D1%96%D0%B4" title="Евклід – Rusyn" lang="rue" hreflang="rue" data-title="Евклід" data-language-autonym="Русиньскый" data-language-local-name="Rusyn" class="interlanguage-link-target"><span>Русиньскый</span></a></li><li class="interlanguage-link interwiki-sah mw-list-item"><a href="https://sah.wikipedia.org/wiki/%D0%AD%D0%BA%D0%BB%D0%B8%D0%B4" title="Эклид – Yakut" lang="sah" hreflang="sah" data-title="Эклид" data-language-autonym="Саха тыла" data-language-local-name="Yakut" class="interlanguage-link-target"><span>Саха тыла</span></a></li><li class="interlanguage-link interwiki-sat mw-list-item"><a href="https://sat.wikipedia.org/wiki/%E1%B1%A4%E1%B1%A3%E1%B1%A0%E1%B1%9E%E1%B1%A4%E1%B1%B0" title="ᱤᱣᱠᱞᱤᱰ – Santali" lang="sat" hreflang="sat" data-title="ᱤᱣᱠᱞᱤᱰ" data-language-autonym="ᱥᱟᱱᱛᱟᱲᱤ" data-language-local-name="Santali" class="interlanguage-link-target"><span>ᱥᱟᱱᱛᱟᱲᱤ</span></a></li><li class="interlanguage-link interwiki-scn mw-list-item"><a href="https://scn.wikipedia.org/wiki/Euclidi" title="Euclidi – Sicilian" lang="scn" hreflang="scn" data-title="Euclidi" data-language-autonym="Sicilianu" data-language-local-name="Sicilian" 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/Euclid" title="Euclid – Scots" lang="sco" hreflang="sco" data-title="Euclid" data-language-autonym="Scots" data-language-local-name="Scots" 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%82%D9%84%D9%8A%D8%AF%D8%B3" title="اقليدس – Sindhi" lang="sd" hreflang="sd" data-title="اقليدس" data-language-autonym="سنڌي" data-language-local-name="Sindhi" 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/Euklid" title="Euklid – Serbo-Croatian" lang="sh" hreflang="sh" data-title="Euklid" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="Serbo-Croatian" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-shi mw-list-item"><a href="https://shi.wikipedia.org/wiki/Uklid_(Euclide)" title="Uklid (Euclide) – Tachelhit" lang="shi" hreflang="shi" data-title="Uklid (Euclide)" data-language-autonym="Taclḥit" data-language-local-name="Tachelhit" class="interlanguage-link-target"><span>Taclḥit</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Euclid" title="Euclid – Simple English" lang="en-simple" hreflang="en-simple" data-title="Euclid" 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/Eukleides_z_Alexandrie" title="Eukleides z Alexandrie – Slovak" lang="sk" hreflang="sk" data-title="Eukleides z Alexandrie" data-language-autonym="Slovenčina" data-language-local-name="Slovak" 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/Evklid" title="Evklid – Slovenian" lang="sl" hreflang="sl" data-title="Evklid" data-language-autonym="Slovenščina" data-language-local-name="Slovenian" 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/Euklidi" title="Euklidi – Albanian" lang="sq" hreflang="sq" data-title="Euklidi" data-language-autonym="Shqip" data-language-local-name="Albanian" class="interlanguage-link-target"><span>Shqip</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%95%D1%83%D0%BA%D0%BB%D0%B8%D0%B4" title="Еуклид – Serbian" lang="sr" hreflang="sr" data-title="Еуклид" data-language-autonym="Српски / srpski" data-language-local-name="Serbian" 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/Euklides" title="Euklides – Swedish" lang="sv" hreflang="sv" data-title="Euklides" data-language-autonym="Svenska" data-language-local-name="Swedish" 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/Euklides" title="Euklides – Swahili" lang="sw" hreflang="sw" data-title="Euklides" data-language-autonym="Kiswahili" data-language-local-name="Swahili" 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/Euklides" title="Euklides – Silesian" lang="szl" hreflang="szl" data-title="Euklides" data-language-autonym="Ślůnski" data-language-local-name="Silesian" class="interlanguage-link-target"><span>Ślůnski</span></a></li><li class="interlanguage-link interwiki-szy mw-list-item"><a href="https://szy.wikipedia.org/wiki/U-ci-li-te" title="U-ci-li-te – Sakizaya" lang="szy" hreflang="szy" data-title="U-ci-li-te" data-language-autonym="Sakizaya" data-language-local-name="Sakizaya" class="interlanguage-link-target"><span>Sakizaya</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%AF%E0%AF%82%E0%AE%95%E0%AF%8D%E0%AE%B3%E0%AE%BF%E0%AE%9F%E0%AF%81" title="யூக்ளிடு – Tamil" lang="ta" hreflang="ta" data-title="யூக்ளிடு" data-language-autonym="தமிழ்" data-language-local-name="Tamil" 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%AF%E0%B1%82%E0%B0%95%E0%B1%8D%E0%B0%B2%E0%B0%BF%E0%B0%A1%E0%B1%8D" title="యూక్లిడ్ – Telugu" lang="te" hreflang="te" data-title="యూక్లిడ్" data-language-autonym="తెలుగు" data-language-local-name="Telugu" 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%A3%D2%9B%D0%BB%D0%B8%D0%B4%D1%83%D1%81" title="Уқлидус – Tajik" lang="tg" hreflang="tg" data-title="Уқлидус" data-language-autonym="Тоҷикӣ" data-language-local-name="Tajik" 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%A2%E0%B8%B8%E0%B8%84%E0%B8%A5%E0%B8%B4%E0%B8%94" title="ยุคลิด – Thai" lang="th" hreflang="th" data-title="ยุคลิด" data-language-autonym="ไทย" data-language-local-name="Thai" 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/%C3%96klid" title="Öklid – Turkish" lang="tr" hreflang="tr" data-title="Öklid" data-language-autonym="Türkçe" data-language-local-name="Turkish" 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/%D0%AD%D1%83%D0%BA%D0%BB%D0%B8%D0%B4" title="Эуклид – Tatar" lang="tt" hreflang="tt" data-title="Эуклид" data-language-autonym="Татарча / tatarça" data-language-local-name="Tatar" class="interlanguage-link-target"><span>Татарча / tatarça</span></a></li><li class="interlanguage-link interwiki-tum mw-list-item"><a href="https://tum.wikipedia.org/wiki/Euclid" title="Euclid – Tumbuka" lang="tum" hreflang="tum" data-title="Euclid" data-language-autonym="ChiTumbuka" data-language-local-name="Tumbuka" class="interlanguage-link-target"><span>ChiTumbuka</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%95%D0%B2%D0%BA%D0%BB%D1%96%D0%B4" title="Евклід – Ukrainian" lang="uk" hreflang="uk" data-title="Евклід" data-language-autonym="Українська" data-language-local-name="Ukrainian" 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%A7%D9%82%D9%84%DB%8C%D8%AF%D8%B3" title="اقلیدس – Urdu" lang="ur" hreflang="ur" data-title="اقلیدس" data-language-autonym="اردو" data-language-local-name="Urdu" 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/Yevklid" title="Yevklid – Uzbek" lang="uz" hreflang="uz" data-title="Yevklid" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="Uzbek" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-vec mw-list-item"><a href="https://vec.wikipedia.org/wiki/Euclide" title="Euclide – Venetian" lang="vec" hreflang="vec" data-title="Euclide" data-language-autonym="Vèneto" data-language-local-name="Venetian" class="interlanguage-link-target"><span>Vèneto</span></a></li><li class="interlanguage-link interwiki-vep mw-list-item"><a href="https://vep.wikipedia.org/wiki/Evklid" title="Evklid – Veps" lang="vep" hreflang="vep" data-title="Evklid" data-language-autonym="Vepsän kel’" data-language-local-name="Veps" class="interlanguage-link-target"><span>Vepsän kel’</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/Euclid" title="Euclid – Vietnamese" lang="vi" hreflang="vi" data-title="Euclid" data-language-autonym="Tiếng Việt" data-language-local-name="Vietnamese" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-vo mw-list-item"><a href="https://vo.wikipedia.org/wiki/Eukleides" title="Eukleides – Volapük" lang="vo" hreflang="vo" data-title="Eukleides" data-language-autonym="Volapük" data-language-local-name="Volapük" class="interlanguage-link-target"><span>Volapük</span></a></li><li class="interlanguage-link interwiki-war mw-list-item"><a href="https://war.wikipedia.org/wiki/Eukleides" title="Eukleides – Waray" lang="war" hreflang="war" data-title="Eukleides" data-language-autonym="Winaray" data-language-local-name="Waray" class="interlanguage-link-target"><span>Winaray</span></a></li><li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://wuu.wikipedia.org/wiki/%E6%AC%A7%E5%87%A0%E9%87%8C%E5%BE%97" title="欧几里得 – Wu" lang="wuu" hreflang="wuu" data-title="欧几里得" data-language-autonym="吴语" data-language-local-name="Wu" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-xal mw-list-item"><a href="https://xal.wikipedia.org/wiki/%D0%AD%D0%B2%D0%BA%D0%BB%D0%B8%D0%B4" title="Эвклид – Kalmyk" lang="xal" hreflang="xal" data-title="Эвклид" data-language-autonym="Хальмг" data-language-local-name="Kalmyk" class="interlanguage-link-target"><span>Хальмг</span></a></li><li class="interlanguage-link interwiki-xh mw-list-item"><a href="https://xh.wikipedia.org/wiki/U-Euclid" title="U-Euclid – Xhosa" lang="xh" hreflang="xh" data-title="U-Euclid" data-language-autonym="IsiXhosa" data-language-local-name="Xhosa" class="interlanguage-link-target"><span>IsiXhosa</span></a></li><li class="interlanguage-link interwiki-xmf mw-list-item"><a href="https://xmf.wikipedia.org/wiki/%E1%83%94%E1%83%95%E1%83%99%E1%83%9A%E1%83%98%E1%83%93%E1%83%94" title="ევკლიდე – Mingrelian" lang="xmf" hreflang="xmf" data-title="ევკლიდე" data-language-autonym="მარგალური" data-language-local-name="Mingrelian" 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%90%D7%95%D7%A7%D7%9C%D7%99%D7%93%D7%95%D7%A1" title="אוקלידוס – Yiddish" lang="yi" hreflang="yi" data-title="אוקלידוס" data-language-autonym="ייִדיש" data-language-local-name="Yiddish" 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/Euclid" title="Euclid – Yoruba" lang="yo" hreflang="yo" data-title="Euclid" data-language-autonym="Yorùbá" data-language-local-name="Yoruba" class="interlanguage-link-target"><span>Yorùbá</span></a></li><li class="interlanguage-link interwiki-za mw-list-item"><a href="https://za.wikipedia.org/wiki/Euclid" title="Euclid – Zhuang" lang="za" hreflang="za" data-title="Euclid" data-language-autonym="Vahcuengh" data-language-local-name="Zhuang" class="interlanguage-link-target"><span>Vahcuengh</span></a></li><li class="interlanguage-link interwiki-zgh mw-list-item"><a href="https://zgh.wikipedia.org/wiki/%E2%B5%93%E2%B4%BD%E2%B5%8D%E2%B5%89%E2%B4%B7" title="ⵓⴽⵍⵉⴷ – Standard Moroccan Tamazight" lang="zgh" hreflang="zgh" data-title="ⵓⴽⵍⵉⴷ" data-language-autonym="ⵜⴰⵎⴰⵣⵉⵖⵜ ⵜⴰⵏⴰⵡⴰⵢⵜ" data-language-local-name="Standard Moroccan Tamazight" class="interlanguage-link-target"><span>ⵜⴰⵎⴰⵣⵉⵖⵜ ⵜⴰⵏⴰⵡⴰⵢⵜ</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E6%AC%A7%E5%87%A0%E9%87%8C%E5%BE%97" title="欧几里得 – Chinese" lang="zh" hreflang="zh" data-title="欧几里得" data-language-autonym="中文" data-language-local-name="Chinese" class="interlanguage-link-target"><span>中文</span></a></li><li class="interlanguage-link interwiki-zh-classical mw-list-item"><a href="https://zh-classical.wikipedia.org/wiki/%E6%AD%90%E5%B9%BE%E9%87%8C%E5%BE%97" title="歐幾里得 – Literary Chinese" lang="lzh" hreflang="lzh" data-title="歐幾里得" 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-min-nan mw-list-item"><a href="https://zh-min-nan.wikipedia.org/wiki/Eukleides" title="Eukleides – Minnan" lang="nan" hreflang="nan" data-title="Eukleides" data-language-autonym="閩南語 / Bân-lâm-gú" data-language-local-name="Minnan" class="interlanguage-link-target"><span>閩南語 / Bân-lâm-gú</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E6%AD%90%E5%B9%BE%E9%87%8C%E5%BE%97" title="歐幾里得 – Cantonese" lang="yue" hreflang="yue" data-title="歐幾里得" data-language-autonym="粵語" data-language-local-name="Cantonese" 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/Q8747#sitelinks-wikipedia" title="Baguhin ang link sa ibang wika" class="wbc-editpage">baguhin ang mga link</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="Namespace"> <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/Euclides" title="Tingnan ang nilalaman [c]" accesskey="c"><span>Artikulo</span></a></li><li id="ca-talk" class="new vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Usapan:Euclides&action=edit&redlink=1" rel="discussion" class="new" title="Usapan tungkol sa nilalaman nito (hindi pa naisusulat) [t]" accesskey="t"><span>Usapan</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="Ibahin ang baryante o variant ng wika" > <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">Tagalog</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="Mga tingin"> <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/Euclides"><span>Basahin</span></a></li><li id="ca-ve-edit" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Euclides&veaction=edit" title="Baguhin ito [v]" accesskey="v"><span>Baguhin</span></a></li><li id="ca-edit" class="collapsible vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Euclides&action=edit" title="Baguhin ang kodigong batayan ng pahinang ito [e]" accesskey="e"><span>Baguhin ang wikitext</span></a></li><li id="ca-history" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Euclides&action=history" title="Nakaraang pagbabago sa pahinang ito [h]" accesskey="h"><span>Tingnan ang kasaysayan</span></a></li> </ul> </div> </div> </nav> <nav class="vector-page-tools-landmark" aria-label="Page tools"> <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="Mga kagamitan" > <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">Mga kagamitan</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">Mga kagamitan</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-page-tools.pin">ilipat sa gilid</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-page-tools.unpin">itago</button> </div> <div id="p-cactions" class="vector-menu mw-portlet mw-portlet-cactions emptyPortlet vector-has-collapsible-items" title="More options" > <div class="vector-menu-heading"> Mga aksyon </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/Euclides"><span>Basahin</span></a></li><li id="ca-more-ve-edit" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Euclides&veaction=edit" title="Baguhin ito [v]" accesskey="v"><span>Baguhin</span></a></li><li id="ca-more-edit" class="collapsible vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Euclides&action=edit" title="Baguhin ang kodigong batayan ng pahinang ito [e]" accesskey="e"><span>Baguhin ang wikitext</span></a></li><li id="ca-more-history" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Euclides&action=history"><span>Tingnan ang kasaysayan</span></a></li> </ul> </div> </div> <div id="p-tb" class="vector-menu mw-portlet mw-portlet-tb" > <div class="vector-menu-heading"> Pangkalahatan </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-whatlinkshere" class="mw-list-item"><a href="/wiki/Natatangi:Ano_ang_nakakawing_dito/Euclides" title="Talaan ng mga pahinang wiking nakaturo rito. [j]" accesskey="j"><span>Mga nakaturo rito</span></a></li><li id="t-recentchangeslinked" class="mw-list-item"><a href="/wiki/Natatangi:Nakakawing_ng_kamakailang_pagbabago/Euclides" rel="nofollow" title="Mga huling binago sa mga kaugnay na pahina mula sa pahinang ito [k]" accesskey="k"><span>Kaugnay na pagbabago</span></a></li><li id="t-upload" class="mw-list-item"><a href="//commons.wikimedia.org/wiki/Special:UploadWizard?uselang=tl" title="Magkarga ng mga larawan o iba pang midya [u]" accesskey="u"><span>Mag-upload ng file</span></a></li><li id="t-specialpages" class="mw-list-item"><a href="/wiki/Natatangi:Natatanging_mga_pahina" title="Tala ng mga natatanging pahina [q]" accesskey="q"><span>Natatanging pahina</span></a></li><li id="t-permalink" class="mw-list-item"><a href="/w/index.php?title=Euclides&oldid=2021558" title="Ibigay ang palagiang kawing para sa kasalukuyang bersyon ng pahinang ito"><span>Permanenteng link</span></a></li><li id="t-info" class="mw-list-item"><a href="/w/index.php?title=Euclides&action=info" title="More information about this page"><span>Impormasyon ng pahina</span></a></li><li id="t-cite" class="mw-list-item"><a href="/w/index.php?title=Natatangi:Sipiin&page=Euclides&id=2021558&wpFormIdentifier=titleform" title="Impormasyon sa pagsangguni sa pahinang ito"><span>Sumangguni</span></a></li><li id="t-urlshortener" class="mw-list-item"><a href="/w/index.php?title=Natatangi:UrlShortener&url=https%3A%2F%2Ftl.wikipedia.org%2Fwiki%2FEuclides"><span>Kumuha ng pinaikling URL</span></a></li><li id="t-urlshortener-qrcode" class="mw-list-item"><a href="/w/index.php?title=Natatangi:QrCode&url=https%3A%2F%2Ftl.wikipedia.org%2Fwiki%2FEuclides"><span>I-download ang QR code</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"> I-print/I-export </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=Natatangi:Aklat&bookcmd=book_creator&referer=Euclides"><span>Lumikha ng isang aklat</span></a></li><li id="coll-download-as-rl" class="mw-list-item"><a href="/w/index.php?title=Natatangi:DownloadAsPdf&page=Euclides&action=show-download-screen"><span>I-download bilang PDF</span></a></li><li id="t-print" class="mw-list-item"><a href="/w/index.php?title=Euclides&printable=yes" title="Ipakita ang bersyon ng pahinang itong madaling maililimbag [p]" accesskey="p"><span>Bersyong mapi-print</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"> Sa iba pang proyekto </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/Euclid" 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/Q8747" title="Link sa nakakonektang item sa repositoryo ng datos [g]" accesskey="g"><span>Item na Wikidata</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="Page tools"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="Itsura"> <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">Itsura</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">ilipat sa gilid</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">itago</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">Mula sa Wikipedia, ang malayang ensiklopedya</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="tl" dir="ltr"><style data-mw-deduplicate="TemplateStyles:r1971697">.mw-parser-output .infobox-subbox{padding:0;border:none;margin:-3px;width:auto;min-width:100%;font-size:100%;clear:none;float:none;background-color:transparent}.mw-parser-output .infobox-3cols-child{margin:auto}.mw-parser-output .infobox .navbar{font-size:100%}body.skin-minerva .mw-parser-output .infobox-header,body.skin-minerva .mw-parser-output .infobox-subheader,body.skin-minerva .mw-parser-output .infobox-above,body.skin-minerva .mw-parser-output .infobox-title,body.skin-minerva .mw-parser-output .infobox-image,body.skin-minerva .mw-parser-output .infobox-full-data,body.skin-minerva .mw-parser-output .infobox-below{text-align:center}</style><table class="infobox biography vcard"><tbody><tr><th colspan="2" class="infobox-above" style="font-size:125%;"><div class="fn" style="display:inline">Euclides</div></th></tr><tr><td colspan="2" class="infobox-image"><span class="mw-default-size" typeof="mw:File/Frameless"><a href="/wiki/Talaksan:Scuola_di_atene_07.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/e/e3/Scuola_di_atene_07.jpg/220px-Scuola_di_atene_07.jpg" decoding="async" width="220" height="259" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/e3/Scuola_di_atene_07.jpg/330px-Scuola_di_atene_07.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/e3/Scuola_di_atene_07.jpg/440px-Scuola_di_atene_07.jpg 2x" data-file-width="930" data-file-height="1094" /></a></span><div class="infobox-caption">Si Euclid na nasa <i><a href="/wiki/Paaralan_ng_Atenas" title="Paaralan ng Atenas">Paaralan ng Atenas</a></i> ni <a href="/w/index.php?title=Raphael_Sanzio&action=edit&redlink=1" class="new" title="Raphael Sanzio (hindi pa naisusulat)">Raphael</a>.</div></td></tr><tr><th scope="row" class="infobox-label">Kapanganakan</th><td class="infobox-data">Hindi alam</td></tr><tr><th scope="row" class="infobox-label">Kamatayan</th><td class="infobox-data">Hindi alam</td></tr><tr><th scope="row" class="infobox-label">Kilala sa</th><td class="infobox-data"><a href="/w/index.php?title=Heometriyang_Euclidiano&action=edit&redlink=1" class="new" title="Heometriyang Euclidiano (hindi pa naisusulat)">Heometriyang Euclidiano</a> <br /><i><a href="/wiki/Mga_Elemento_ni_Euclides" title="Mga Elemento ni Euclides">Mga Elemento ni Euclides</a></i></td></tr><tr><td colspan="2" class="infobox-full-data"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1971697"><b>Karera sa agham</b></td></tr><tr><th scope="row" class="infobox-label">Larangan</th><td class="infobox-data category"><a href="/wiki/Matematika" title="Matematika">Matematika</a></td></tr><tr style="display:none"><td colspan="2"> </td></tr></tbody></table> <p>Si <b>Euclides</b>, <b>Euclid</b>, o <b>Eukleides</b>  – mula sa Griyegong <i>Ευκλείδης</i> o "Eukleides"  – (ipinanganak noong mga 330 BK) ang Griyegong pilosopong Ama ng <a href="/wiki/Heometriya" title="Heometriya">Heometriya</a>. Siya ay aktibo sa <a href="/wiki/Alexandria" class="mw-redirect" title="Alexandria">Alexandria</a>, Ehipto sa paghahari ni <a href="/w/index.php?title=Ptolemy_I&action=edit&redlink=1" class="new" title="Ptolemy I (hindi pa naisusulat)">Ptolemy I</a>. Ang kanyang aklat ng <a href="/wiki/Heometriya" title="Heometriya">heometriya</a> na pinamagatang <i><a href="/wiki/Mga_Elemento_ni_Euclides" title="Mga Elemento ni Euclides">Mga Elemento</a></i> ay naglalaman ng maraming mga aksiyoma, proposiyon at pagpapatunay ng mga proposiyon sa heometriya. Kanyang ihinuha ang mga prinsipyo ng tinatawag ngayong <a href="/w/index.php?title=Heometriyang_Euclidean&action=edit&redlink=1" class="new" title="Heometriyang Euclidean (hindi pa naisusulat)">heometriyang Euclidean</a> mula sa isang hanay ng mga aksiyoma. Ang aklat na ito ang isa sa pinakamaimpluwensiya <i>(most influential)</i> na akda sa kasaysayan ng matematika na nagsisilbi bilang aklat pampaaraalan para sa pagtuturo ng matematika lalo na sa heometriya mula sa paglilimbag nito hanggang sa huling ika-19 at simulang ika-20 siglo.<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><sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> Kaunti ang nalalaman hinggil sa buhay ni Euclid. Ang ilang mga historikal na reperensiya kay Euclides ay isinulat nina Proclus at Pappus of Alexandria mga siglo pagkatapos niyang mabuhay. Ipinakilala ni Proclus si Euclides bilang ang may akda ng <i>Mga Elemento</i> sa kanyang ika-5 siglong komentaryo nito. Binanggit naman ni Pappus noong ika-4 siglo na si Apollonius ay "gumugol ng isang napakahabang panahong kasama ng mga estudyante ni Euclides sa Alexandria at kaya ay nagkamit ito ng isang gayong siyentipikong kasanayan ng pag-iisip. Karagdagan ring pininiwalaan na si Euclides ay maaaring nag-aral sa Akademya ni <a href="/wiki/Plato" class="mw-redirect" title="Plato">Plato</a> sa <a href="/wiki/Athens" class="mw-redirect" title="Athens">Athens</a>. </p> <figure class="mw-default-size mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/Talaksan:P._Oxy._I_29.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/8/8d/P._Oxy._I_29.jpg/220px-P._Oxy._I_29.jpg" decoding="async" width="220" height="134" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/8d/P._Oxy._I_29.jpg/330px-P._Oxy._I_29.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/8d/P._Oxy._I_29.jpg/440px-P._Oxy._I_29.jpg 2x" data-file-width="1694" data-file-height="1032" /></a><figcaption>Isa sa pinakamatandang manuskrito ng <a href="/wiki/Mga_Elemento_ni_Euclides" title="Mga Elemento ni Euclides">Mga Elemento ni Euclides</a>.</figcaption></figure> <figure typeof="mw:File/Thumb"><a href="/wiki/Talaksan:Woman_teaching_geometry.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/d/d4/Woman_teaching_geometry.jpg/230px-Woman_teaching_geometry.jpg" decoding="async" width="230" height="254" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/d4/Woman_teaching_geometry.jpg/345px-Woman_teaching_geometry.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/d4/Woman_teaching_geometry.jpg/460px-Woman_teaching_geometry.jpg 2x" data-file-width="1039" data-file-height="1148" /></a><figcaption>Ang harapan ng saling <a href="/wiki/Latin" class="mw-redirect" title="Latin">Latin</a> ng Mga Elemento ni Euclides ni <a href="/w/index.php?title=Adelard_of_Bath&action=edit&redlink=1" class="new" title="Adelard of Bath (hindi pa naisusulat)">Adelard of Bath</a> c. 1309–1316; ang pinakamatandang umiiral na saling Latin ng Mga Elemento ay isang ika-12 siglong salin ni Adelard na nagsalin sa Latin mula sa Arabiko.</figcaption></figure> <div class="mw-heading mw-heading2"><h2 id="Mga_sanggunian">Mga sanggunian</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Euclides&veaction=edit&section=1" title="Baguhin seksiyon: Mga sanggunian" class="mw-editsection-visualeditor"><span>baguhin</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Euclides&action=edit&section=1" title="Edit section's source code: Mga sanggunian"><span>baguhin ang wikitext</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r2121818">.mw-parser-output .reflist{font-size:90%;margin-bottom:0.5em;list-style-type:decimal}.mw-parser-output .reflist .references{font-size:100%;margin-bottom:0;list-style-type:inherit}.mw-parser-output .reflist-columns-2{column-width:30em}.mw-parser-output .reflist-columns-3{column-width:25em}.mw-parser-output .reflist-columns{margin-top:0.3em}.mw-parser-output .reflist-columns ol{margin-top:0}.mw-parser-output .reflist-columns li{page-break-inside:avoid;break-inside:avoid-column}.mw-parser-output .reflist-upper-alpha{list-style-type:upper-alpha}.mw-parser-output .reflist-upper-roman{list-style-type:upper-roman}.mw-parser-output .reflist-lower-alpha{list-style-type:lower-alpha}.mw-parser-output .reflist-lower-greek{list-style-type:lower-greek}.mw-parser-output .reflist-lower-roman{list-style-type:lower-roman}</style><div class="reflist"> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><a href="#cite_ref-1">↑</a></span> <span class="reference-text">Ball, pp. 50–62.</span> </li> <li id="cite_note-2"><span class="mw-cite-backlink"><a href="#cite_ref-2">↑</a></span> <span class="reference-text">Boyer, pp. 100–19.</span> </li> <li id="cite_note-3"><span class="mw-cite-backlink"><a href="#cite_ref-3">↑</a></span> <span class="reference-text">Macardle, et al. (2008). <i>Scientists: Extraordinary People Who Altered the Course of History.</i> New York: Metro Books. g. 12.</span> </li> </ol></div></div> <p><span typeof="mw:File"><a href="/wiki/Talaksan:NewtonDetail.jpg" class="mw-file-description" title="Matematiko"><img alt="Matematiko" src="//upload.wikimedia.org/wikipedia/commons/thumb/3/35/NewtonDetail.jpg/35px-NewtonDetail.jpg" decoding="async" width="35" height="35" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/35/NewtonDetail.jpg/53px-NewtonDetail.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/35/NewtonDetail.jpg/70px-NewtonDetail.jpg 2x" data-file-width="350" data-file-height="350" /></a></span><span typeof="mw:File"><a href="/wiki/Talaksan:Flag_of_Greece.svg" class="mw-file-description" title="Gresya"><img alt="Gresya" src="//upload.wikimedia.org/wikipedia/commons/thumb/5/5c/Flag_of_Greece.svg/35px-Flag_of_Greece.svg.png" decoding="async" width="35" height="23" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/5c/Flag_of_Greece.svg/53px-Flag_of_Greece.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/5/5c/Flag_of_Greece.svg/70px-Flag_of_Greece.svg.png 2x" data-file-width="600" data-file-height="400" /></a></span> <i>Ang lathalaing ito na tungkol sa <b>Matematiko</b> at <b>Gresya</b> ay isang <a href="/wiki/Wikipedia:Usbong" title="Wikipedia:Usbong">usbong</a>. Makatutulong ka sa <a href="/wiki/Wikipedia" title="Wikipedia">Wikipedia</a> sa <span class="plainlinks"><a class="external text" href="https://tl.wikipedia.org/w/index.php?title=Euclides&action=edit">pagpapalawig</a></span> nito.</i> </p>    </div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1" alt="" width="1" height="1" style="border: none; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">Kinuha sa "<a dir="ltr" href="https://tl.wikipedia.org/w/index.php?title=Euclides&oldid=2021558">https://tl.wikipedia.org/w/index.php?title=Euclides&oldid=2021558</a>"</div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a href="/wiki/Natatangi:Mga_kategorya" title="Natatangi:Mga kategorya">Kategorya</a>: <ul><li><a href="/wiki/Kategorya:Mga_sinaunang_Griyego" title="Kategorya:Mga sinaunang Griyego">Mga sinaunang Griyego</a></li><li><a href="/wiki/Kategorya:Mga_matematikong_Griyego" title="Kategorya:Mga matematikong Griyego">Mga matematikong Griyego</a></li><li><a href="/wiki/Kategorya:Heometriyang_Euclidean" title="Kategorya:Heometriyang Euclidean">Heometriyang Euclidean</a></li></ul></div><div id="mw-hidden-catlinks" class="mw-hidden-catlinks mw-hidden-cats-hidden">Mga nakatagong kategorya: <ul><li><a href="/wiki/Kategorya:Articles_with_hCards" title="Kategorya:Articles with hCards">Articles with hCards</a></li><li><a href="/wiki/Kategorya:Stub_(Matematiko)" title="Kategorya:Stub (Matematiko)">Stub (Matematiko)</a></li><li><a href="/wiki/Kategorya:Stub_(Gresya)" title="Kategorya:Stub (Gresya)">Stub (Gresya)</a></li><li><a href="/wiki/Kategorya:Mga_lathalaing_dapat_palawigin" title="Kategorya:Mga lathalaing dapat palawigin">Mga lathalaing dapat palawigin</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"> Huling pagbabago: 20:41, 24 Mayo 2023.</li> <li id="footer-info-copyright">Magagamit ang teksto sa ilalim ng <a rel="nofollow" class="external text" href="//creativecommons.org/licenses/by-sa/4.0/">Lisensyang Creative Commons Attribution/Share-Alike</a>; maaaring mailapat ang karagdagang termino. Tingnan ang <a class="external text" href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Terms_of_Use">Takdang Gamit</a> para sa mga detalye.</li> </ul> <ul id="footer-places"> <li id="footer-places-privacy"><a href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Privacy_policy">Patakaran sa Pagkapribado</a></li> <li id="footer-places-about"><a href="/wiki/Wikipedia:Patungkol">Patungkol sa Wikipedia</a></li> <li id="footer-places-disclaimers"><a href="/wiki/Wikipedia:Pangkalahatang_pagtatanggi">Pagtatanggi</a></li> <li id="footer-places-wm-codeofconduct"><a href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Universal_Code_of_Conduct">Kodigo ng Paggawi</a></li> <li id="footer-places-developers"><a href="https://developer.wikimedia.org">Mga Developer</a></li> <li id="footer-places-statslink"><a href="https://stats.wikimedia.org/#/tl.wikipedia.org">Estadistika</a></li> <li id="footer-places-cookiestatement"><a href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Cookie_statement">Tungkol sa Cookie</a></li> <li id="footer-places-mobileview"><a href="//tl.m.wikipedia.org/w/index.php?title=Euclides&mobileaction=toggle_view_mobile" class="noprint stopMobileRedirectToggle">Itsura sa mobile</a></li> </ul> <ul id="footer-icons" class="noprint"> <li id="footer-copyrightico"><a href="https://wikimediafoundation.org/" class="cdx-button cdx-button--fake-button cdx-button--size-large cdx-button--fake-button--enabled"><img src="/static/images/footer/wikimedia-button.svg" width="84" height="29" alt="Wikimedia Foundation" loading="lazy"></a></li> <li id="footer-poweredbyico"><a href="https://www.mediawiki.org/" class="cdx-button cdx-button--fake-button cdx-button--size-large cdx-button--fake-button--enabled"><img src="/w/resources/assets/poweredby_mediawiki.svg" alt="Powered by MediaWiki" width="88" height="31" loading="lazy"></a></li> </ul> </footer> </div> </div> </div> <div class="vector-settings" id="p-dock-bottom"> <ul></ul> </div><script>(RLQ=window.RLQ||[]).push(function(){mw.config.set({"wgHostname":"mw-web.codfw.main-6b8d669998-6f6jb","wgBackendResponseTime":151,"wgPageParseReport":{"limitreport":{"cputime":"0.153","walltime":"1.189","ppvisitednodes":{"value":1477,"limit":1000000},"postexpandincludesize":{"value":5914,"limit":2097152},"templateargumentsize":{"value":1291,"limit":2097152},"expansiondepth":{"value":11,"limit":100},"expensivefunctioncount":{"value":0,"limit":500},"unstrip-depth":{"value":0,"limit":20},"unstrip-size":{"value":3497,"limit":5000000},"entityaccesscount":{"value":1,"limit":400},"timingprofile":["100.00% 160.249 1 -total"," 86.40% 138.462 1 Padron:Infobox_scientist"," 82.84% 132.754 1 Padron:Infobox_person"," 21.16% 33.912 1 Padron:Wikidata_image"," 14.88% 23.850 1 Padron:Infobox"," 7.50% 12.026 1 Padron:Unbulleted_list"," 6.52% 10.448 3 Padron:If_empty"," 5.78% 9.264 1 Padron:Reflist"," 4.67% 7.483 1 Padron:Stub"," 2.33% 3.741 5 Padron:Br_separated_entries"]},"scribunto":{"limitreport-timeusage":{"value":"0.040","limit":"10.000"},"limitreport-memusage":{"value":1313821,"limit":52428800}},"cachereport":{"origin":"mw-web.codfw.main-cc877b49b-kkw9j","timestamp":"20241127114703","ttl":2592000,"transientcontent":false}}});});</script> <script type="application/ld+json">{"@context":"https:\/\/schema.org","@type":"Article","name":"Euclides","url":"https:\/\/tl.wikipedia.org\/wiki\/Euclides","sameAs":"http:\/\/www.wikidata.org\/entity\/Q8747","mainEntity":"http:\/\/www.wikidata.org\/entity\/Q8747","author":{"@type":"Organization","name":"Contributors to Wikimedia projects"},"publisher":{"@type":"Organization","name":"Wikimedia Foundation, Inc.","logo":{"@type":"ImageObject","url":"https:\/\/www.wikimedia.org\/static\/images\/wmf-hor-googpub.png"}},"datePublished":"2009-03-27T19:25:17Z","dateModified":"2023-05-24T20:41:50Z","image":"https:\/\/upload.wikimedia.org\/wikipedia\/commons\/e\/e3\/Scuola_di_atene_07.jpg"}</script> </body> </html>