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="lv" dir="ltr"> <head> <meta charset="UTF-8"> <title>Elipse — Vikipēdija</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(/(?:^|; )lvwikimwclientpreferences=([^;]+)/);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":[",\t."," \t,"],"wgDigitTransformTable":["",""], "wgDefaultDateFormat":"ydm","wgMonthNames":["","janvāris","februāris","marts","aprīlis","maijs","jūnijs","jūlijs","augusts","septembris","oktobris","novembris","decembris"],"wgRequestId":"89dc8757-08c9-4bc2-b586-d98480c28e38","wgCanonicalNamespace":"","wgCanonicalSpecialPageName":false,"wgNamespaceNumber":0,"wgPageName":"Elipse","wgTitle":"Elipse","wgCurRevisionId":3853399,"wgRevisionId":3853399,"wgArticleId":14395,"wgIsArticle":true,"wgIsRedirect":false,"wgAction":"view","wgUserName":null,"wgUserGroups":["*"],"wgCategories":["Ģeometrija","Konusa šķēlumi"],"wgPageViewLanguage":"lv","wgPageContentLanguage":"lv","wgPageContentModel":"wikitext","wgRelevantPageName":"Elipse","wgRelevantArticleId":14395,"wgIsProbablyEditable":true,"wgRelevantPageIsProbablyEditable":true,"wgRestrictionEdit":[],"wgRestrictionMove":[],"wgNoticeProject":"wikipedia","wgCiteReferencePreviewsActive":true,"wgMediaViewerOnClick":true,"wgMediaViewerEnabledByDefault":true,"wgPopupsFlags":0,"wgVisualEditor":{ "pageLanguageCode":"lv","pageLanguageDir":"ltr","pageVariantFallbacks":"lv"},"wgMFDisplayWikibaseDescriptions":{"search":true,"watchlist":true,"tagline":true,"nearby":true},"wgWMESchemaEditAttemptStepOversample":false,"wgWMEPageLength":3000,"wgRelatedArticlesCompat":[],"wgEditSubmitButtonLabelPublish":true,"wgULSPosition":"interlanguage","wgULSisCompactLinksEnabled":false,"wgVector2022LanguageInHeader":true,"wgULSisLanguageSelectorEmpty":false,"wgWikibaseItemId":"Q40112","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.math.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=["mediawiki.page.media","site","mediawiki.page.ready","mediawiki.toc","skins.vector.js","ext.centralNotice.geoIP","ext.centralNotice.startUp","ext.gadget.opacity-edit","ext.gadget.refToolbar","ext.gadget.edittop","ext.gadget.Editpage","ext.gadget.switcher","ext.gadget.wikibugs","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=lv&modules=ext.math.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=lv&modules=startup&only=scripts&raw=1&skin=vector-2022"></script> <meta name="ResourceLoaderDynamicStyles" content=""> <link rel="stylesheet" href="/w/load.php?lang=lv&modules=site.styles&only=styles&skin=vector-2022"> <meta name="generator" content="MediaWiki 1.44.0-wmf.5"> <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/1/12/Conicas1.PNG"> <meta property="og:image:width" content="1200"> <meta property="og:image:height" content="1200"> <meta property="og:image" content="https://upload.wikimedia.org/wikipedia/commons/1/12/Conicas1.PNG"> <meta property="og:image:width" content="800"> <meta property="og:image:height" content="800"> <meta property="og:image:width" content="640"> <meta property="og:image:height" content="640"> <meta name="viewport" content="width=1120"> <meta property="og:title" content="Elipse — Vikipēdija"> <meta property="og:type" content="website"> <link rel="preconnect" href="//upload.wikimedia.org"> <link rel="alternate" media="only screen and (max-width: 640px)" href="//lv.m.wikipedia.org/wiki/Elipse"> <link rel="alternate" type="application/x-wiki" title="Labot šo lapu" href="/w/index.php?title=Elipse&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="Vikipēdija (lv)"> <link rel="EditURI" type="application/rsd+xml" href="//lv.wikipedia.org/w/api.php?action=rsd"> <link rel="canonical" href="https://lv.wikipedia.org/wiki/Elipse"> <link rel="license" href="https://creativecommons.org/licenses/by-sa/4.0/deed.lv"> <link rel="alternate" type="application/atom+xml" title="Vikipēdija Atom padeve" href="/w/index.php?title=Special:RecentChanges&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-Elipse rootpage-Elipse skin-vector-2022 action-view"><a class="mw-jump-link" href="#bodyContent">Pāriet uz saturu</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="Vietne"> <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="Galvenā izvēlne" > <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">Galvenā izvēlne</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">Galvenā izvēlne</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-main-menu.pin">pārvietot uz sānjoslu</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-main-menu.unpin">paslēpt</button> </div> <div id="p-navigation" class="vector-menu mw-portlet mw-portlet-navigation" > <div class="vector-menu-heading"> Navigācija </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="n-mainpage" class="mw-list-item"><a href="/wiki/S%C4%81kumlapa" title="Iet uz sākumlapu [z]" accesskey="z"><span>Sākumlapa</span></a></li><li id="n-portal" class="mw-list-item"><a href="/wiki/Vikip%C4%93dija:Kopienas_port%C4%81ls" title="Šeit Tu vari uzdot sev interesējošus jautājumus"><span>Kopienas portāls</span></a></li><li id="n-currentevents" class="mw-list-item"><a href="/wiki/Vikip%C4%93dija:Aktualit%C4%81tes" title="Uzzini, kas nesen noticis Vikipēdijā"><span>Aktualitātes</span></a></li><li id="n-recentchanges" class="mw-list-item"><a href="/wiki/Special:RecentChanges" title="Izmaiņas, kas nesen izdarītas Vikipēdijā [r]" accesskey="r"><span>Pēdējās izmaiņas</span></a></li><li id="n-randompage" class="mw-list-item"><a href="/wiki/Special:Random" title="Iet uz nejauši izvēlētu lapu [x]" accesskey="x"><span>Nejauša lapa</span></a></li><li id="n-help" class="mw-list-item"><a href="https://lv.wikipedia.org/wiki/Pal%C4%ABdz%C4%ABba:Saturs" title="Vieta, kur uzzināt par Vikipēdiju vairāk"><span>Palīdzība</span></a></li><li id="n-bug_in_article" class="mw-list-item"><a href="/wiki/Vikip%C4%93dija:Pazi%C5%86ojumi_par_k%C4%BC%C5%ABd%C4%81m"><span>Paziņot par kļūdu</span></a></li><li id="n-contact" class="mw-list-item"><a href="//lv.wikipedia.org/wiki/Vikipēdija:Kontakti"><span>Kontakti</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> <a href="/wiki/S%C4%81kumlapa" 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="Vikipēdija" src="/static/images/mobile/copyright/wikipedia-wordmark-lv.svg" style="width: 7.5em; height: 1.375em;"> <img class="mw-logo-tagline" alt="Brīvā enciklopēdija" src="/static/images/mobile/copyright/wikipedia-tagline-lv.svg" width="120" height="15" style="width: 7.5em; height: 0.9375em;"> </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/Special:Search" class="cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only search-toggle" title="Meklēt Vikipēdijā [f]" accesskey="f"><span class="vector-icon mw-ui-icon-search mw-ui-icon-wikimedia-search"></span> <span>Meklēt</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="Meklēt Vikipēdijā" aria-label="Meklēt Vikipēdijā" autocapitalize="sentences" title="Meklēt Vikipēdijā [f]" accesskey="f" id="searchInput" > <span class="cdx-text-input__icon cdx-text-input__start-icon"></span> </div> <input type="hidden" name="title" value="Special:Search"> </div> <button class="cdx-button cdx-search-input__end-button">Meklēt</button> </form> </div> </div> </div> <nav class="vector-user-links vector-user-links-wide" aria-label="Dalībnieka rīki"> <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="Izskats"> <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="Izskats" > <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">Izskats</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_lv.wikipedia.org&uselang=lv" class=""><span>Ziedojumi</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=Special:CreateAccount&returnto=Elipse" title="Ieteicams izveidot kontu un pieslēgties; tomēr tas nav obligāti." class=""><span>Izveidot jaunu Vikipēdijas kontu</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=Special:UserLogin&returnto=Elipse" title="Aicinām tevi ieiet Vikipēdijā, tomēr tas nav obligāti. [o]" accesskey="o" class=""><span>Ieiet Vikipēdijā</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="Vairāk iespēju" > <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="Dalībnieka rīki" > <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">Dalībnieka rīki</span> </label> <div class="vector-dropdown-content"> <div id="p-personal" class="vector-menu mw-portlet mw-portlet-personal user-links-collapsible-item" title="Dalībnieka izvēlne" > <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_lv.wikipedia.org&uselang=lv"><span>Ziedojumi</span></a></li><li id="pt-createaccount" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Special:CreateAccount&returnto=Elipse" title="Ieteicams izveidot kontu un pieslēgties; tomēr tas nav obligāti."><span class="vector-icon mw-ui-icon-userAdd mw-ui-icon-wikimedia-userAdd"></span> <span>Izveidot jaunu Vikipēdijas kontu</span></a></li><li id="pt-login" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Special:UserLogin&returnto=Elipse" title="Aicinām tevi ieiet Vikipēdijā, tomēr tas nav obligāti. [o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>Ieiet Vikipēdijā</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"> Lapas redaktoriem, kuri nav pieslēgušies <a href="/wiki/Vikip%C4%93dija:Ievads" aria-label="Uzzini vairāk par rediģēšanu"><span>uzzināt vairāk</span></a> </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-anoncontribs" class="mw-list-item"><a href="/wiki/Special:MyContributions" title="Labojumi, kas veikti no šīs IP adreses [y]" accesskey="y"><span>Devums</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/Special:MyTalk" title="Diskusija par labojumiem, kas izdarīti no šīs IP adreses [n]" accesskey="n"><span>Diskusijas</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="Vietne"> <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="Saturs" 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">Saturs</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">pārvietot uz sānjoslu</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">paslēpt</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">Sākums</div> </a> </li> <li id="toc-Īpašības" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Īpašības"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Īpašības</span> </div> </a> <ul id="toc-Īpašības-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Vienādojums" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Vienādojums"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Vienādojums</span> </div> </a> <ul id="toc-Vienādojums-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Formulas" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Formulas"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Formulas</span> </div> </a> <ul id="toc-Formulas-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Elipses_perimetra_aprēķināšana" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Elipses_perimetra_aprēķināšana"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Elipses perimetra aprēķināšana</span> </div> </a> <ul id="toc-Elipses_perimetra_aprēķināšana-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Elipses_optiskā_īpašība" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Elipses_optiskā_īpašība"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Elipses optiskā īpašība</span> </div> </a> <ul id="toc-Elipses_optiskā_īpašība-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Skatīt_arī" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Skatīt_arī"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>Skatīt arī</span> </div> </a> <ul id="toc-Skatīt_arī-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Ārējās_saites" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Ārējās_saites"> <div class="vector-toc-text"> <span class="vector-toc-numb">7</span> <span>Ārējās saites</span> </div> </a> <ul id="toc-Ārējās_saites-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="Saturs" 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="Pārslēgt satura rādītāju" > <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">Pārslēgt satura rādītāju</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">Elipse</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="Pāriet uz rakstu citā valodā. Pieejams 97 valodās" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-97" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">97 valodas</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-af mw-list-item"><a href="https://af.wikipedia.org/wiki/Ellips" title="Ellips – afrikandu" lang="af" hreflang="af" data-title="Ellips" data-language-autonym="Afrikaans" data-language-local-name="afrikandu" class="interlanguage-link-target"><span>Afrikaans</span></a></li><li class="interlanguage-link interwiki-als mw-list-item"><a href="https://als.wikipedia.org/wiki/Ellipse" title="Ellipse – Šveices vācu" lang="gsw" hreflang="gsw" data-title="Ellipse" data-language-autonym="Alemannisch" data-language-local-name="Šveices vācu" class="interlanguage-link-target"><span>Alemannisch</span></a></li><li class="interlanguage-link interwiki-am mw-list-item"><a href="https://am.wikipedia.org/wiki/%E1%88%9E%E1%88%8B%E1%88%8B" title="ሞላላ – amharu" lang="am" hreflang="am" data-title="ሞላላ" data-language-autonym="አማርኛ" data-language-local-name="amharu" class="interlanguage-link-target"><span>አማርኛ</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D9%82%D8%B7%D8%B9_%D9%86%D8%A7%D9%82%D8%B5" title="قطع ناقص – arābu" lang="ar" hreflang="ar" data-title="قطع ناقص" data-language-autonym="العربية" data-language-local-name="arābu" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://ast.wikipedia.org/wiki/Elipse" title="Elipse – astūriešu" lang="ast" hreflang="ast" data-title="Elipse" data-language-autonym="Asturianu" data-language-local-name="astūriešu" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/Ellips" title="Ellips – azerbaidžāņu" lang="az" hreflang="az" data-title="Ellips" data-language-autonym="Azərbaycanca" data-language-local-name="azerbaidžāņu" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-ba mw-list-item"><a href="https://ba.wikipedia.org/wiki/%D0%AD%D0%BB%D0%BB%D0%B8%D0%BF%D1%81" title="Эллипс – baškīru" lang="ba" hreflang="ba" data-title="Эллипс" data-language-autonym="Башҡортса" data-language-local-name="baškīru" class="interlanguage-link-target"><span>Башҡортса</span></a></li><li class="interlanguage-link interwiki-bar mw-list-item"><a href="https://bar.wikipedia.org/wiki/Elipsn" title="Elipsn – Bavarian" lang="bar" hreflang="bar" data-title="Elipsn" data-language-autonym="Boarisch" data-language-local-name="Bavarian" class="interlanguage-link-target"><span>Boarisch</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%AD%D0%BB%D1%96%D0%BF%D1%81" title="Эліпс – baltkrievu" lang="be" hreflang="be" data-title="Эліпс" data-language-autonym="Беларуская" data-language-local-name="baltkrievu" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-be-x-old mw-list-item"><a href="https://be-tarask.wikipedia.org/wiki/%D0%AD%D0%BB%D1%96%D0%BF%D1%81" title="Эліпс – Belarusian (Taraškievica orthography)" lang="be-tarask" hreflang="be-tarask" data-title="Эліпс" data-language-autonym="Беларуская (тарашкевіца)" data-language-local-name="Belarusian (Taraškievica orthography)" class="interlanguage-link-target"><span>Беларуская (тарашкевіца)</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%95%D0%BB%D0%B8%D0%BF%D1%81%D0%B0" title="Елипса – bulgāru" lang="bg" hreflang="bg" data-title="Елипса" data-language-autonym="Български" data-language-local-name="bulgāru" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%89%E0%A6%AA%E0%A6%AC%E0%A7%83%E0%A6%A4%E0%A7%8D%E0%A6%A4" title="উপবৃত্ত – bengāļu" lang="bn" hreflang="bn" data-title="উপবৃত্ত" data-language-autonym="বাংলা" data-language-local-name="bengāļu" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Elipsa" title="Elipsa – bosniešu" lang="bs" hreflang="bs" data-title="Elipsa" data-language-autonym="Bosanski" data-language-local-name="bosniešu" class="interlanguage-link-target"><span>Bosanski</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/El%C2%B7lipse" title="El·lipse – katalāņu" lang="ca" hreflang="ca" data-title="El·lipse" data-language-autonym="Català" data-language-local-name="katalāņu" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cdo mw-list-item"><a href="https://cdo.wikipedia.org/wiki/Ti%C5%8D-u%C3%B2ng" title="Tiō-uòng – Mindong" lang="cdo" hreflang="cdo" data-title="Tiō-uòng" data-language-autonym="閩東語 / Mìng-dĕ̤ng-ngṳ̄" data-language-local-name="Mindong" class="interlanguage-link-target"><span>閩東語 / Mìng-dĕ̤ng-ngṳ̄</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%D8%A8%DA%95%DA%AF%DB%95%DB%8C_%D9%86%D8%A7%D8%AA%DB%95%D9%88%D8%A7%D9%88" title="بڕگەی ناتەواو – centrālkurdu" lang="ckb" hreflang="ckb" data-title="بڕگەی ناتەواو" data-language-autonym="کوردی" data-language-local-name="centrālkurdu" class="interlanguage-link-target"><span>کوردی</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Elipsa" title="Elipsa – čehu" lang="cs" hreflang="cs" data-title="Elipsa" data-language-autonym="Čeština" data-language-local-name="čehu" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%AD%D0%BB%D0%BB%D0%B8%D0%BF%D1%81" title="Эллипс – čuvašu" lang="cv" hreflang="cv" data-title="Эллипс" data-language-autonym="Чӑвашла" data-language-local-name="čuvašu" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-cy mw-list-item"><a href="https://cy.wikipedia.org/wiki/El%C3%ADps" title="Elíps – velsiešu" lang="cy" hreflang="cy" data-title="Elíps" data-language-autonym="Cymraeg" data-language-local-name="velsiešu" class="interlanguage-link-target"><span>Cymraeg</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Ellipse_(geometri)" title="Ellipse (geometri) – dāņu" lang="da" hreflang="da" data-title="Ellipse (geometri)" data-language-autonym="Dansk" data-language-local-name="dāņu" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Ellipse" title="Ellipse – vācu" lang="de" hreflang="de" data-title="Ellipse" data-language-autonym="Deutsch" data-language-local-name="vācu" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%88%CE%BB%CE%BB%CE%B5%CE%B9%CF%88%CE%B7_(%CE%B3%CE%B5%CF%89%CE%BC%CE%B5%CF%84%CF%81%CE%AF%CE%B1)" title="Έλλειψη (γεωμετρία) – grieķu" lang="el" hreflang="el" data-title="Έλλειψη (γεωμετρία)" data-language-autonym="Ελληνικά" data-language-local-name="grieķu" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Ellipse" title="Ellipse – angļu" lang="en" hreflang="en" data-title="Ellipse" data-language-autonym="English" data-language-local-name="angļu" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Elipso_(matematiko)" title="Elipso (matematiko) – esperanto" lang="eo" hreflang="eo" data-title="Elipso (matematiko)" data-language-autonym="Esperanto" data-language-local-name="esperanto" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Elipse" title="Elipse – spāņu" lang="es" hreflang="es" data-title="Elipse" data-language-autonym="Español" data-language-local-name="spāņu" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Ellips" title="Ellips – igauņu" lang="et" hreflang="et" data-title="Ellips" data-language-autonym="Eesti" data-language-local-name="igauņu" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Elipse" title="Elipse – basku" lang="eu" hreflang="eu" data-title="Elipse" data-language-autonym="Euskara" data-language-local-name="basku" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa badge-Q17437798 badge-goodarticle mw-list-item" title="labs raksts"><a href="https://fa.wikipedia.org/wiki/%D8%A8%DB%8C%D8%B6%DB%8C" title="بیضی – persiešu" lang="fa" hreflang="fa" data-title="بیضی" data-language-autonym="فارسی" data-language-local-name="persiešu" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Ellipsi" title="Ellipsi – somu" lang="fi" hreflang="fi" data-title="Ellipsi" data-language-autonym="Suomi" data-language-local-name="somu" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Ellipse_(math%C3%A9matiques)" title="Ellipse (mathématiques) – franču" lang="fr" hreflang="fr" data-title="Ellipse (mathématiques)" data-language-autonym="Français" data-language-local-name="franču" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-frr mw-list-item"><a href="https://frr.wikipedia.org/wiki/Elips" title="Elips – ziemeļfrīzu" lang="frr" hreflang="frr" data-title="Elips" data-language-autonym="Nordfriisk" data-language-local-name="ziemeļfrīzu" class="interlanguage-link-target"><span>Nordfriisk</span></a></li><li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://ga.wikipedia.org/wiki/%C3%89ilips" title="Éilips – īru" lang="ga" hreflang="ga" data-title="Éilips" data-language-autonym="Gaeilge" data-language-local-name="īru" class="interlanguage-link-target"><span>Gaeilge</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Elipse_(xeometr%C3%ADa)" title="Elipse (xeometría) – galisiešu" lang="gl" hreflang="gl" data-title="Elipse (xeometría)" data-language-autonym="Galego" data-language-local-name="galisiešu" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%90%D7%9C%D7%99%D7%A4%D7%A1%D7%94" title="אליפסה – ivrits" lang="he" hreflang="he" data-title="אליפסה" data-language-autonym="עברית" data-language-local-name="ivrits" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%A6%E0%A5%80%E0%A4%B0%E0%A5%8D%E0%A4%98%E0%A4%B5%E0%A5%83%E0%A4%A4%E0%A5%8D%E0%A4%A4" title="दीर्घवृत्त – hindi" lang="hi" hreflang="hi" data-title="दीर्घवृत्त" data-language-autonym="हिन्दी" data-language-local-name="hindi" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Elipsa" title="Elipsa – horvātu" lang="hr" hreflang="hr" data-title="Elipsa" data-language-autonym="Hrvatski" data-language-local-name="horvātu" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-ht mw-list-item"><a href="https://ht.wikipedia.org/wiki/Elips" title="Elips – haitiešu" lang="ht" hreflang="ht" data-title="Elips" data-language-autonym="Kreyòl ayisyen" data-language-local-name="haitiešu" class="interlanguage-link-target"><span>Kreyòl ayisyen</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Ellipszis_(g%C3%B6rbe)" title="Ellipszis (görbe) – ungāru" lang="hu" hreflang="hu" data-title="Ellipszis (görbe)" data-language-autonym="Magyar" data-language-local-name="ungāru" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D4%B7%D5%AC%D5%AB%D5%BA%D5%BD" title="Էլիպս – armēņu" lang="hy" hreflang="hy" data-title="Էլիպս" data-language-autonym="Հայերեն" data-language-local-name="armēņu" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-ia mw-list-item"><a href="https://ia.wikipedia.org/wiki/Ellipse_(forma_geometric)" title="Ellipse (forma geometric) – interlingva" lang="ia" hreflang="ia" data-title="Ellipse (forma geometric)" data-language-autonym="Interlingua" data-language-local-name="interlingva" 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/Elips" title="Elips – indonēziešu" lang="id" hreflang="id" data-title="Elips" data-language-autonym="Bahasa Indonesia" data-language-local-name="indonēziešu" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-io mw-list-item"><a href="https://io.wikipedia.org/wiki/Elipso" title="Elipso – ido" lang="io" hreflang="io" data-title="Elipso" data-language-autonym="Ido" data-language-local-name="ido" class="interlanguage-link-target"><span>Ido</span></a></li><li class="interlanguage-link interwiki-is mw-list-item"><a href="https://is.wikipedia.org/wiki/Sporbaugur" title="Sporbaugur – islandiešu" lang="is" hreflang="is" data-title="Sporbaugur" data-language-autonym="Íslenska" data-language-local-name="islandiešu" class="interlanguage-link-target"><span>Íslenska</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Ellisse" title="Ellisse – itāļu" lang="it" hreflang="it" data-title="Ellisse" data-language-autonym="Italiano" data-language-local-name="itāļu" 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/%E6%A5%95%E5%86%86" title="楕円 – japāņu" lang="ja" hreflang="ja" data-title="楕円" data-language-autonym="日本語" data-language-local-name="japāņu" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-jv mw-list-item"><a href="https://jv.wikipedia.org/wiki/Elips" title="Elips – javiešu" lang="jv" hreflang="jv" data-title="Elips" data-language-autonym="Jawa" data-language-local-name="javiešu" class="interlanguage-link-target"><span>Jawa</span></a></li><li class="interlanguage-link interwiki-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/%E1%83%94%E1%83%9A%E1%83%98%E1%83%A4%E1%83%A1%E1%83%98" title="ელიფსი – gruzīnu" lang="ka" hreflang="ka" data-title="ელიფსი" data-language-autonym="ქართული" data-language-local-name="gruzīnu" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-kab mw-list-item"><a href="https://kab.wikipedia.org/wiki/Aglay_(tusnakt)" title="Aglay (tusnakt) – kabilu" lang="kab" hreflang="kab" data-title="Aglay (tusnakt)" data-language-autonym="Taqbaylit" data-language-local-name="kabilu" class="interlanguage-link-target"><span>Taqbaylit</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%AD%D0%BB%D0%BB%D0%B8%D0%BF%D1%81" title="Эллипс – kazahu" lang="kk" hreflang="kk" data-title="Эллипс" data-language-autonym="Қазақша" data-language-local-name="kazahu" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-km mw-list-item"><a href="https://km.wikipedia.org/wiki/%E1%9E%A2%E1%9F%81%E1%9E%9B%E1%9E%B8%E1%9E%94" title="អេលីប – khmeru" lang="km" hreflang="km" data-title="អេលីប" data-language-autonym="ភាសាខ្មែរ" data-language-local-name="khmeru" class="interlanguage-link-target"><span>ភាសាខ្មែរ</span></a></li><li class="interlanguage-link interwiki-kn mw-list-item"><a href="https://kn.wikipedia.org/wiki/%E0%B2%A6%E0%B3%80%E0%B2%B0%E0%B3%8D%E0%B2%98%E0%B2%B5%E0%B3%83%E0%B2%A4%E0%B3%8D%E0%B2%A4" title="ದೀರ್ಘವೃತ್ತ – kannadu" lang="kn" hreflang="kn" data-title="ದೀರ್ಘವೃತ್ತ" data-language-autonym="ಕನ್ನಡ" data-language-local-name="kannadu" class="interlanguage-link-target"><span>ಕನ್ನಡ</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%ED%83%80%EC%9B%90" title="타원 – korejiešu" lang="ko" hreflang="ko" data-title="타원" data-language-autonym="한국어" data-language-local-name="korejiešu" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-ky mw-list-item"><a href="https://ky.wikipedia.org/wiki/%D0%AD%D0%BB%D0%BB%D0%B8%D0%BF%D1%81" title="Эллипс – kirgīzu" lang="ky" hreflang="ky" data-title="Эллипс" data-language-autonym="Кыргызча" data-language-local-name="kirgīzu" class="interlanguage-link-target"><span>Кыргызча</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/Ellipsis" title="Ellipsis – latīņu" lang="la" hreflang="la" data-title="Ellipsis" data-language-autonym="Latina" data-language-local-name="latīņu" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-lb mw-list-item"><a href="https://lb.wikipedia.org/wiki/Ellips" title="Ellips – luksemburgiešu" lang="lb" hreflang="lb" data-title="Ellips" data-language-autonym="Lëtzebuergesch" data-language-local-name="luksemburgiešu" class="interlanguage-link-target"><span>Lëtzebuergesch</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Elips%C4%97" title="Elipsė – lietuviešu" lang="lt" hreflang="lt" data-title="Elipsė" data-language-autonym="Lietuvių" data-language-local-name="lietuviešu" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%95%D0%BB%D0%B8%D0%BF%D1%81%D0%B0" title="Елипса – maķedoniešu" lang="mk" hreflang="mk" data-title="Елипса" data-language-autonym="Македонски" data-language-local-name="maķedoniešu" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-mr mw-list-item"><a href="https://mr.wikipedia.org/wiki/%E0%A4%B2%E0%A4%82%E0%A4%AC%E0%A4%B5%E0%A4%B0%E0%A5%8D%E0%A4%A4%E0%A5%81%E0%A4%B3" title="लंबवर्तुळ – marathu" lang="mr" hreflang="mr" data-title="लंबवर्तुळ" data-language-autonym="मराठी" data-language-local-name="marathu" class="interlanguage-link-target"><span>मराठी</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Elips" title="Elips – malajiešu" lang="ms" hreflang="ms" data-title="Elips" data-language-autonym="Bahasa Melayu" data-language-local-name="malajiešu" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Ellips_(wiskunde)" title="Ellips (wiskunde) – holandiešu" lang="nl" hreflang="nl" data-title="Ellips (wiskunde)" data-language-autonym="Nederlands" data-language-local-name="holandiešu" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Ellipse" title="Ellipse – jaunnorvēģu" lang="nn" hreflang="nn" data-title="Ellipse" data-language-autonym="Norsk nynorsk" data-language-local-name="jaunnorvēģu" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Ellipse" title="Ellipse – norvēģu bukmols" lang="nb" hreflang="nb" data-title="Ellipse" data-language-autonym="Norsk bokmål" data-language-local-name="norvēģu bukmols" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-oc mw-list-item"><a href="https://oc.wikipedia.org/wiki/Ellipsa" title="Ellipsa – oksitāņu" lang="oc" hreflang="oc" data-title="Ellipsa" data-language-autonym="Occitan" data-language-local-name="oksitāņu" class="interlanguage-link-target"><span>Occitan</span></a></li><li class="interlanguage-link interwiki-om mw-list-item"><a href="https://om.wikipedia.org/wiki/Okokkee" title="Okokkee – oromu" lang="om" hreflang="om" data-title="Okokkee" data-language-autonym="Oromoo" data-language-local-name="oromu" class="interlanguage-link-target"><span>Oromoo</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Elipsa" title="Elipsa – poļu" lang="pl" hreflang="pl" data-title="Elipsa" data-language-autonym="Polski" data-language-local-name="poļu" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pms mw-list-item"><a href="https://pms.wikipedia.org/wiki/Eliss" title="Eliss – Piedmontese" lang="pms" hreflang="pms" data-title="Eliss" data-language-autonym="Piemontèis" data-language-local-name="Piedmontese" class="interlanguage-link-target"><span>Piemontèis</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Elipse" title="Elipse – portugāļu" lang="pt" hreflang="pt" data-title="Elipse" data-language-autonym="Português" data-language-local-name="portugāļu" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-qu mw-list-item"><a href="https://qu.wikipedia.org/wiki/Lunp%27u" title="Lunp'u – kečvu" lang="qu" hreflang="qu" data-title="Lunp'u" data-language-autonym="Runa Simi" data-language-local-name="kečvu" class="interlanguage-link-target"><span>Runa Simi</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Elips%C4%83" title="Elipsă – rumāņu" lang="ro" hreflang="ro" data-title="Elipsă" data-language-autonym="Română" data-language-local-name="rumāņu" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%AD%D0%BB%D0%BB%D0%B8%D0%BF%D1%81" title="Эллипс – krievu" lang="ru" hreflang="ru" data-title="Эллипс" data-language-autonym="Русский" data-language-local-name="krievu" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-rue mw-list-item"><a href="https://rue.wikipedia.org/wiki/%D0%95%D0%BB%D0%B8%D0%BF%D1%81%D0%B0" title="Елипса – Rusyn" lang="rue" hreflang="rue" data-title="Елипса" data-language-autonym="Русиньскый" data-language-local-name="Rusyn" class="interlanguage-link-target"><span>Русиньскый</span></a></li><li class="interlanguage-link interwiki-scn mw-list-item"><a href="https://scn.wikipedia.org/wiki/Ellissi" title="Ellissi – sicīliešu" lang="scn" hreflang="scn" data-title="Ellissi" data-language-autonym="Sicilianu" data-language-local-name="sicīliešu" class="interlanguage-link-target"><span>Sicilianu</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Elipsa" title="Elipsa – serbu–horvātu" lang="sh" hreflang="sh" data-title="Elipsa" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="serbu–horvātu" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Ellipse" title="Ellipse – Simple English" lang="en-simple" hreflang="en-simple" data-title="Ellipse" data-language-autonym="Simple English" data-language-local-name="Simple English" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Elipsa" title="Elipsa – slovāku" lang="sk" hreflang="sk" data-title="Elipsa" data-language-autonym="Slovenčina" data-language-local-name="slovāku" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Elipsa" title="Elipsa – slovēņu" lang="sl" hreflang="sl" data-title="Elipsa" data-language-autonym="Slovenščina" data-language-local-name="slovēņu" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sn mw-list-item"><a href="https://sn.wikipedia.org/wiki/Denderende" title="Denderende – šonu" lang="sn" hreflang="sn" data-title="Denderende" data-language-autonym="ChiShona" data-language-local-name="šonu" class="interlanguage-link-target"><span>ChiShona</span></a></li><li class="interlanguage-link interwiki-so mw-list-item"><a href="https://so.wikipedia.org/wiki/Qabaal" title="Qabaal – somāļu" lang="so" hreflang="so" data-title="Qabaal" data-language-autonym="Soomaaliga" data-language-local-name="somāļu" class="interlanguage-link-target"><span>Soomaaliga</span></a></li><li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://sq.wikipedia.org/wiki/Elipsi" title="Elipsi – albāņu" lang="sq" hreflang="sq" data-title="Elipsi" data-language-autonym="Shqip" data-language-local-name="albāņu" class="interlanguage-link-target"><span>Shqip</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%95%D0%BB%D0%B8%D0%BF%D1%81%D0%B0" title="Елипса – serbu" lang="sr" hreflang="sr" data-title="Елипса" data-language-autonym="Српски / srpski" data-language-local-name="serbu" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Ellips_(matematik)" title="Ellips (matematik) – zviedru" lang="sv" hreflang="sv" data-title="Ellips (matematik)" data-language-autonym="Svenska" data-language-local-name="zviedru" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-sw mw-list-item"><a href="https://sw.wikipedia.org/wiki/Duaradufu" title="Duaradufu – svahili" lang="sw" hreflang="sw" data-title="Duaradufu" data-language-autonym="Kiswahili" data-language-local-name="svahili" class="interlanguage-link-target"><span>Kiswahili</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%A8%E0%AF%80%E0%AE%B3%E0%AF%8D%E0%AE%B5%E0%AE%9F%E0%AF%8D%E0%AE%9F%E0%AE%AE%E0%AF%8D" title="நீள்வட்டம் – tamilu" lang="ta" hreflang="ta" data-title="நீள்வட்டம்" data-language-autonym="தமிழ்" data-language-local-name="tamilu" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%A3%E0%B8%B9%E0%B8%9B%E0%B8%A7%E0%B8%87%E0%B8%A3%E0%B8%B5" title="รูปวงรี – taju" lang="th" hreflang="th" data-title="รูปวงรี" data-language-autonym="ไทย" data-language-local-name="taju" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tl mw-list-item"><a href="https://tl.wikipedia.org/wiki/Elipse" title="Elipse – tagalu" lang="tl" hreflang="tl" data-title="Elipse" data-language-autonym="Tagalog" data-language-local-name="tagalu" class="interlanguage-link-target"><span>Tagalog</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Elips" title="Elips – turku" lang="tr" hreflang="tr" data-title="Elips" data-language-autonym="Türkçe" data-language-local-name="turku" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%95%D0%BB%D1%96%D0%BF%D1%81" title="Еліпс – ukraiņu" lang="uk" hreflang="uk" data-title="Еліпс" data-language-autonym="Українська" data-language-local-name="ukraiņu" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-ur mw-list-item"><a href="https://ur.wikipedia.org/wiki/%D8%A8%DB%8C%D8%B6%DB%81" title="بیضہ – urdu" lang="ur" hreflang="ur" data-title="بیضہ" 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/Ellips_(chiziq)" title="Ellips (chiziq) – uzbeku" lang="uz" hreflang="uz" data-title="Ellips (chiziq)" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="uzbeku" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-vec mw-list-item"><a href="https://vec.wikipedia.org/wiki/E%C5%82ise" title="Ełise – Venetian" lang="vec" hreflang="vec" data-title="Ełise" data-language-autonym="Vèneto" data-language-local-name="Venetian" class="interlanguage-link-target"><span>Vèneto</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/Elip" title="Elip – vjetnamiešu" lang="vi" hreflang="vi" data-title="Elip" data-language-autonym="Tiếng Việt" data-language-local-name="vjetnamiešu" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-war mw-list-item"><a href="https://war.wikipedia.org/wiki/Elipse" title="Elipse – varaju" lang="war" hreflang="war" data-title="Elipse" data-language-autonym="Winaray" data-language-local-name="varaju" class="interlanguage-link-target"><span>Winaray</span></a></li><li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://wuu.wikipedia.org/wiki/%E6%A9%A2%E5%9C%93" title="橢圓 – vu ķīniešu" lang="wuu" hreflang="wuu" data-title="橢圓" data-language-autonym="吴语" data-language-local-name="vu ķīniešu" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E6%A4%AD%E5%9C%86" title="椭圆 – ķīniešu" lang="zh" hreflang="zh" data-title="椭圆" data-language-autonym="中文" data-language-local-name="ķīniešu" class="interlanguage-link-target"><span>中文</span></a></li><li class="interlanguage-link interwiki-zh-classical mw-list-item"><a href="https://zh-classical.wikipedia.org/wiki/%E6%A9%A2%E5%9C%93" title="橢圓 – Literary Chinese" lang="lzh" hreflang="lzh" data-title="橢圓" 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/Tn%CC%82g-ko-%C3%AE%E2%81%BF" title="Tn̂g-ko-îⁿ – Minnan" lang="nan" hreflang="nan" data-title="Tn̂g-ko-îⁿ" 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%A9%A2%E5%9C%93_(%E5%B9%BE%E4%BD%95)" title="橢圓 (幾何) – kantoniešu" lang="yue" hreflang="yue" data-title="橢圓 (幾何)" data-language-autonym="粵語" data-language-local-name="kantoniešu" class="interlanguage-link-target"><span>粵語</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q40112#sitelinks-wikipedia" title="Labot starpvalodu saites" class="wbc-editpage">Labot saites</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="Vārdtelpas"> <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/Elipse" title="Apskatīt rakstu [c]" accesskey="c"><span>Raksts</span></a></li><li id="ca-talk" class="new vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Diskusija:Elipse&action=edit&redlink=1" rel="discussion" class="new" title="Diskusija par šī raksta lapu (vēl nav uzrakstīts) [t]" accesskey="t"><span>Diskusija</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="Mainīt valodas variantu" > <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">latviešu</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="Apskates"> <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/Elipse"><span>Skatīt</span></a></li><li id="ca-ve-edit" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Elipse&veaction=edit" title="Labot šo lapu [v]" accesskey="v"><span>Labot šo lapu</span></a></li><li id="ca-edit" class="collapsible vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Elipse&action=edit" title="Labot šīs lapas pirmkodu [e]" accesskey="e"><span>Labot pirmkodu</span></a></li><li id="ca-history" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Elipse&action=history" title="Šīs lapas iepriekšējās versijas. [h]" accesskey="h"><span>Hronoloģija</span></a></li> </ul> </div> </div> </nav> <nav class="vector-page-tools-landmark" aria-label="Lapas rīki"> <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="Rīki" > <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">Rīki</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">Rīki</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-page-tools.pin">pārvietot uz sānjoslu</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-page-tools.unpin">paslēpt</button> </div> <div id="p-cactions" class="vector-menu mw-portlet mw-portlet-cactions emptyPortlet vector-has-collapsible-items" title="Vairāk iespēju" > <div class="vector-menu-heading"> Darbības </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/Elipse"><span>Skatīt</span></a></li><li id="ca-more-ve-edit" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Elipse&veaction=edit" title="Labot šo lapu [v]" accesskey="v"><span>Labot šo lapu</span></a></li><li id="ca-more-edit" class="collapsible vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Elipse&action=edit" title="Labot šīs lapas pirmkodu [e]" accesskey="e"><span>Labot pirmkodu</span></a></li><li id="ca-more-history" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Elipse&action=history"><span>Hronoloģija</span></a></li> </ul> </div> </div> <div id="p-tb" class="vector-menu mw-portlet mw-portlet-tb" > <div class="vector-menu-heading"> Vispārīgi </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-whatlinkshere" class="mw-list-item"><a href="/wiki/Special:WhatLinksHere/Elipse" title="Visas Vikipēdijas lapas, kurās ir saites uz šejieni [j]" accesskey="j"><span>Norādes uz šo rakstu</span></a></li><li id="t-recentchangeslinked" class="mw-list-item"><a href="/wiki/Special:RecentChangesLinked/Elipse" rel="nofollow" title="Izmaiņas, kas nesen izdarītas lapās, kurās ir saites uz šo lapu [k]" accesskey="k"><span>Saistītās izmaiņas</span></a></li><li id="t-specialpages" class="mw-list-item"><a href="/wiki/Special:SpecialPages" title="Visu īpašo lapu uzskaitījums [q]" accesskey="q"><span>Īpašās lapas</span></a></li><li id="t-permalink" class="mw-list-item"><a href="/w/index.php?title=Elipse&oldid=3853399" title="Paliekoša saite uz šo lapas versiju"><span>Pastāvīgā saite</span></a></li><li id="t-info" class="mw-list-item"><a href="/w/index.php?title=Elipse&action=info" title="Vairāk informācijas par šo lapu"><span>Lapas informācija</span></a></li><li id="t-cite" class="mw-list-item"><a href="/w/index.php?title=Special:CiteThisPage&page=Elipse&id=3853399&wpFormIdentifier=titleform" title="Kā pareizi atsaukties uz šo rakstu"><span>Atsauce uz šo lapu</span></a></li><li id="t-urlshortener" class="mw-list-item"><a href="/w/index.php?title=Special:UrlShortener&url=https%3A%2F%2Flv.wikipedia.org%2Fwiki%2FElipse"><span>Iegūt saīsinātu URL</span></a></li><li id="t-urlshortener-qrcode" class="mw-list-item"><a href="/w/index.php?title=Special:QrCode&url=https%3A%2F%2Flv.wikipedia.org%2Fwiki%2FElipse"><span>Lejupielādēt QR kodu</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"> Drukāt/eksportēt </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=Special:Book&bookcmd=book_creator&referer=Elipse"><span>Izveidot grāmatu</span></a></li><li id="coll-download-as-rl" class="mw-list-item"><a href="/w/index.php?title=Special:DownloadAsPdf&page=Elipse&action=show-download-screen"><span>Lejupielādēt kā PDF</span></a></li><li id="t-print" class="mw-list-item"><a href="/w/index.php?title=Elipse&printable=yes" title="Drukājama lapas versija [p]" accesskey="p"><span>Drukājama versija</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"> Citos projektos </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="wb-otherproject-link wb-otherproject-commons mw-list-item"><a href="https://commons.wikimedia.org/wiki/Ellipses" hreflang="en"><span>Vikikrātuve</span></a></li><li id="t-wikibase" class="wb-otherproject-link wb-otherproject-wikibase-dataitem mw-list-item"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q40112" title="Saistītais Vikidatu ieraksts [g]" accesskey="g"><span>Ieraksts Vikidatos</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="Lapas rīki"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="Izskats"> <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">Izskats</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">pārvietot uz sānjoslu</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">paslēpt</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">Vikipēdijas lapa</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="lv" dir="ltr"><figure class="mw-default-size mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/Att%C4%93ls:Conicas1.PNG" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/1/12/Conicas1.PNG/220px-Conicas1.PNG" decoding="async" width="220" height="220" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/1/12/Conicas1.PNG 1.5x" data-file-width="300" data-file-height="300" /></a><figcaption>Elipse iegūta kā <a href="/wiki/Konusa_%C5%A1%C4%B7%C4%93lums" title="Konusa šķēlums">konusa šķēlums</a> ar plakni</figcaption></figure> <figure class="mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/Att%C4%93ls:Elipse.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/2/24/Elipse.svg/300px-Elipse.svg.png" decoding="async" width="300" height="235" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/24/Elipse.svg/450px-Elipse.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/24/Elipse.svg/600px-Elipse.svg.png 2x" data-file-width="658" data-file-height="516" /></a><figcaption>Elipse</figcaption></figure> <p><b>Elipse</b> (<a href="/wiki/Grie%C4%B7u_valoda" title="Grieķu valoda">grieķu</a>: <span lang="el"><span style="font-family: palatino linotype, new athena unicode, athena, gentium, code2000, serif; font-size: 105%;"><i>ελλειφις</i></span></span> — ‘trūkums’) ir <a href="/wiki/Plakne" title="Plakne">plaknes</a> <a href="/wiki/L%C4%ABnija" title="Līnija">līnija</a>, kuras jebkura <a href="/wiki/Punkts_(%C4%A3eometrija)" title="Punkts (ģeometrija)">punkta</a> attālumu līdz diviem fiksētiem punktiem <a href="/wiki/Summa" title="Summa">summa</a> ir konstanta. Šos divus fiksētos punktus sauc par elipses <a href="/w/index.php?title=Fokuss_(%C4%A3eometrija)&action=edit&redlink=1" class="new" title="Fokuss (ģeometrija) (vēl nav uzrakstīts)">fokusiem</a>. Elipsi var iegūt kā <a href="/wiki/Ri%C5%86%C4%B7a_l%C4%ABnija" title="Riņķa līnija">riņķa līnijas</a> <a href="/w/index.php?title=Projekcija&action=edit&redlink=1" class="new" title="Projekcija (vēl nav uzrakstīts)">projekciju</a> citā plaknē, kā arī šķeļot <a href="/wiki/Konuss" title="Konuss">konusu</a> ar plakni un <a href="/wiki/Cilindrs" title="Cilindrs">cilindru</a> ar plakni. Elipses speciāls gadījums ir riņķa līnija. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Īpašības"><span id=".C4.AApa.C5.A1.C4.ABbas"></span>Īpašības</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Elipse&veaction=edit&section=1" title="Labot sadaļu: Īpašības" class="mw-editsection-visualeditor"><span>labot šo sadaļu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Elipse&action=edit&section=1" title="Labot sadaļas vikikodu: Īpašības"><span>labot pirmkodu</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li>Elipse ir gluda, slēgta un izliekta plaknes līnija;</li> <li>Elipsei ir divas simetrijas asis, kas ir savstarpēji perpendikulāras.</li> <li>Elipse ir otrās kārtas plaknes līkne.</li></ul> <div class="mw-heading mw-heading2"><h2 id="Vienādojums"><span id="Vien.C4.81dojums"></span>Vienādojums</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Elipse&veaction=edit&section=2" title="Labot sadaļu: Vienādojums" class="mw-editsection-visualeditor"><span>labot šo sadaļu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Elipse&action=edit&section=2" title="Labot sadaļas vikikodu: Vienādojums"><span>labot pirmkodu</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><a href="/w/index.php?title=Elipses_kanoniskais_vien%C4%81dojums&action=edit&redlink=1" class="new" title="Elipses kanoniskais vienādojums (vēl nav uzrakstīts)">Elipses kanoniskais vienādojums</a> ir <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\frac {x^{2}}{a^{2}}}+{\frac {y^{2}}{b^{2}}}=1}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mfrac> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msup> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <msup> <mi>b</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mfrac> </mrow> <mo>=</mo> <mn>1</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {x^{2}}{a^{2}}}+{\frac {y^{2}}{b^{2}}}=1}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3d7eb067b1ac196e718e5003ed60a0ea37577483" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.171ex; width:13.372ex; height:6.009ex;" alt="{\displaystyle {\frac {x^{2}}{a^{2}}}+{\frac {y^{2}}{b^{2}}}=1}"></span>, kur <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a\ }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> <mtext> </mtext> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a\ }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/cab11b679bd92051611e727cc8cc095c5c883745" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.81ex; height:1.676ex;" alt="{\displaystyle a\ }"></span> un <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle b\ }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>b</mi> <mtext> </mtext> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle b\ }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/eb51cf20e2880591bd5eddfff4d9c7b311d272ca" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.578ex; height:2.176ex;" alt="{\displaystyle b\ }"></span> ir <a href="/w/index.php?title=Elipses_pusass&action=edit&redlink=1" class="new" title="Elipses pusass (vēl nav uzrakstīts)">elipses pusasis</a>. </p><p>Elipses parametriskie vienādojumi ir </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\begin{cases}x=a\cos t\ \\y=b\sin t\end{cases}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow> <mo>{</mo> <mtable columnalign="left left" rowspacing=".2em" columnspacing="1em" displaystyle="false"> <mtr> <mtd> <mi>x</mi> <mo>=</mo> <mi>a</mi> <mi>cos</mi> <mo>⁡</mo> <mi>t</mi> <mtext> </mtext> </mtd> </mtr> <mtr> <mtd> <mi>y</mi> <mo>=</mo> <mi>b</mi> <mi>sin</mi> <mo>⁡</mo> <mi>t</mi> </mtd> </mtr> </mtable> <mo fence="true" stretchy="true" symmetric="true"></mo> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\begin{cases}x=a\cos t\ \\y=b\sin t\end{cases}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/763e98f6d3c593fb4cca0f44da807ab4a0ba3aa5" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:13.458ex; height:6.176ex;" alt="{\displaystyle {\begin{cases}x=a\cos t\ \\y=b\sin t\end{cases}}}"></span></dd></dl> <p>kur <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle t\in [0,2\pi ]}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>t</mi> <mo>∈</mo> <mo stretchy="false">[</mo> <mn>0</mn> <mo>,</mo> <mn>2</mn> <mi>π</mi> <mo stretchy="false">]</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle t\in [0,2\pi ]}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8dbc9ed8510c75442ce1d2e73f021258fc7e04c6" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:9.665ex; height:2.843ex;" alt="{\displaystyle t\in [0,2\pi ]}"></span>. </p> <div class="mw-heading mw-heading2"><h2 id="Formulas">Formulas</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Elipse&veaction=edit&section=3" title="Labot sadaļu: Formulas" class="mw-editsection-visualeditor"><span>labot šo sadaļu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Elipse&action=edit&section=3" title="Labot sadaļas vikikodu: Formulas"><span>labot pirmkodu</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/w/index.php?title=Ekscentricit%C4%81te&action=edit&redlink=1" class="new" title="Ekscentricitāte (vēl nav uzrakstīts)">ekscentricitāte</a>: <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \varepsilon ={\sqrt {\frac {a^{2}-b^{2}}{a^{2}}}}<1}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>ε</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mfrac> <mrow> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>−</mo> <msup> <mi>b</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mfrac> </msqrt> </mrow> <mo><</mo> <mn>1</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \varepsilon ={\sqrt {\frac {a^{2}-b^{2}}{a^{2}}}}<1}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3ceb95cacb65d18375ca188c74e92fccd2b7b1a4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.005ex; width:18.779ex; height:7.509ex;" alt="{\displaystyle \varepsilon ={\sqrt {\frac {a^{2}-b^{2}}{a^{2}}}}<1}"></span> vai <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \epsilon ={\frac {c}{a}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>ϵ</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>c</mi> <mi>a</mi> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \epsilon ={\frac {c}{a}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3536ac0285ddb7034d3b9f912f83fcbbdac7eff1" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:6.109ex; height:4.676ex;" alt="{\displaystyle \epsilon ={\frac {c}{a}}}"></span>, kur <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a>b}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> <mo>></mo> <mi>b</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a>b}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/83fc0063781fb9bf4ec7608b2fd11ed6d5b05a13" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:5.326ex; height:2.176ex;" alt="{\displaystyle a>b}"></span></li> <li><a href="/w/index.php?title=Elipses_laukums&action=edit&redlink=1" class="new" title="Elipses laukums (vēl nav uzrakstīts)">elipses laukums</a>: <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle S=\pi ab\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>S</mi> <mo>=</mo> <mi>π</mi> <mi>a</mi> <mi>b</mi> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle S=\pi ab\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7a10dd076d85cbbaefb33f29e15dac3d414ad5c4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:8.544ex; height:2.176ex;" alt="{\displaystyle S=\pi ab\,}"></span></li> <li>attālums no elipses centra līdz tās fokusiem: <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle f={\sqrt {a^{2}-b^{2}}}=a\varepsilon }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>f</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>−</mo> <msup> <mi>b</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </msqrt> </mrow> <mo>=</mo> <mi>a</mi> <mi>ε</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle f={\sqrt {a^{2}-b^{2}}}=a\varepsilon }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2964f3a4a35e4982b23002b74337c3f4edb46180" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:19.289ex; height:3.509ex;" alt="{\displaystyle f={\sqrt {a^{2}-b^{2}}}=a\varepsilon }"></span></li> <li><a href="/w/index.php?title=Elipses_fok%C4%81lais_parametrs&action=edit&redlink=1" class="new" title="Elipses fokālais parametrs (vēl nav uzrakstīts)">elipses fokālais parametrs</a>: <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle p={\frac {b^{2}}{a}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>p</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msup> <mi>b</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mi>a</mi> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle p={\frac {b^{2}}{a}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/37ba3648fa608ef48d8e45a82cf9cd44c98a3944" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; margin-left: -0.089ex; width:7.245ex; height:5.676ex;" alt="{\displaystyle p={\frac {b^{2}}{a}}}"></span></li> <li><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a^{2}-b^{2}=c^{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>−</mo> <msup> <mi>b</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>=</mo> <msup> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a^{2}-b^{2}=c^{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/381df0b747c89311bc97f86ba9ceb73acd0cea7b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:12.336ex; height:2.843ex;" alt="{\displaystyle a^{2}-b^{2}=c^{2}}"></span>, kur <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 2c}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>2</mn> <mi>c</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 2c}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8389d669a77876483e5dded26a9112dc4013e23a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.169ex; height:2.176ex;" alt="{\displaystyle 2c}"></span> ir attālums starp fokusiem un <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a>b}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> <mo>></mo> <mi>b</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a>b}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/83fc0063781fb9bf4ec7608b2fd11ed6d5b05a13" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:5.326ex; height:2.176ex;" alt="{\displaystyle a>b}"></span>.</li></ul> <div class="mw-heading mw-heading2"><h2 id="Elipses_perimetra_aprēķināšana"><span id="Elipses_perimetra_apr.C4.93.C4.B7in.C4.81.C5.A1ana"></span>Elipses perimetra aprēķināšana</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Elipse&veaction=edit&section=4" title="Labot sadaļu: Elipses perimetra aprēķināšana" class="mw-editsection-visualeditor"><span>labot šo sadaļu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Elipse&action=edit&section=4" title="Labot sadaļas vikikodu: Elipses perimetra aprēķināšana"><span>labot pirmkodu</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Elipses, ar pusasīm <i>a</i> un <i>b</i>, <a href="/wiki/Perimetrs" title="Perimetrs">perimetrs</a> ir vienāds ar </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle P(a,b)=\int _{0}^{2\pi }{\sqrt {a^{2}\sin ^{2}t+b^{2}\cos ^{2}t}}dt}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>P</mi> <mo stretchy="false">(</mo> <mi>a</mi> <mo>,</mo> <mi>b</mi> <mo stretchy="false">)</mo> <mo>=</mo> <msubsup> <mo>∫</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> <mi>π</mi> </mrow> </msubsup> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <msup> <mi>sin</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>⁡</mo> <mi>t</mi> <mo>+</mo> <msup> <mi>b</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <msup> <mi>cos</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>⁡</mo> <mi>t</mi> </msqrt> </mrow> <mi>d</mi> <mi>t</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle P(a,b)=\int _{0}^{2\pi }{\sqrt {a^{2}\sin ^{2}t+b^{2}\cos ^{2}t}}dt}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/40152266b5265a42d32a5736d477730cacbd62cd" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:37.62ex; height:6.176ex;" alt="{\displaystyle P(a,b)=\int _{0}^{2\pi }{\sqrt {a^{2}\sin ^{2}t+b^{2}\cos ^{2}t}}dt}"></span></dd></dl> <p>Ja <a href="/w/index.php?title=Elipses_pusass&action=edit&redlink=1" class="new" title="Elipses pusass (vēl nav uzrakstīts)">elipses pusasis</a> a un b ir vienādas, tad elipse ir riņķa līnija ar rādiusu a, tāpēc tās perimetrs ir <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 2\pi a}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>2</mn> <mi>π</mi> <mi>a</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 2\pi a}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/dcf68a5ac76f0d5a957464f181bf60d2807eda74" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.724ex; height:2.176ex;" alt="{\displaystyle 2\pi a}"></span>. Savukārt, ja <a href="/w/index.php?title=Elipses_pusasis&action=edit&redlink=1" class="new" title="Elipses pusasis (vēl nav uzrakstīts)">elipses pusasis</a> a un b ir dažādas, tad šādas elipses perimetrs ir izsakāms ar eliptiskajiem integrāļiem, kas nav izsakāmi ar elementārajām funkcijām. Tāpēc ir izveidotas daudzas elipses perimetra tuvinātas aprēķināšanas. Piemēram:<br /> </p> <ul><li><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle P(a,b)\approx 2\pi \left({\frac {a^{\frac {3}{2}}+b^{\frac {3}{2}}}{2}}\right)^{\frac {2}{3}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>P</mi> <mo stretchy="false">(</mo> <mi>a</mi> <mo>,</mo> <mi>b</mi> <mo stretchy="false">)</mo> <mo>≈</mo> <mn>2</mn> <mi>π</mi> <msup> <mrow> <mo>(</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>3</mn> <mn>2</mn> </mfrac> </mrow> </msup> <mo>+</mo> <msup> <mi>b</mi> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>3</mn> <mn>2</mn> </mfrac> </mrow> </msup> </mrow> <mn>2</mn> </mfrac> </mrow> <mo>)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>2</mn> <mn>3</mn> </mfrac> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle P(a,b)\approx 2\pi \left({\frac {a^{\frac {3}{2}}+b^{\frac {3}{2}}}{2}}\right)^{\frac {2}{3}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b78a624db387a8c1a37d8c4d9e0b2df2dc230709" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.671ex; width:27.587ex; height:9.509ex;" alt="{\displaystyle P(a,b)\approx 2\pi \left({\frac {a^{\frac {3}{2}}+b^{\frac {3}{2}}}{2}}\right)^{\frac {2}{3}}}"></span></li></ul> <ul><li><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle P(a,b)\approx \pi \left(3(a+b)-{\sqrt {(3a+b)(a+3b)}}\right)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>P</mi> <mo stretchy="false">(</mo> <mi>a</mi> <mo>,</mo> <mi>b</mi> <mo stretchy="false">)</mo> <mo>≈</mo> <mi>π</mi> <mrow> <mo>(</mo> <mrow> <mn>3</mn> <mo stretchy="false">(</mo> <mi>a</mi> <mo>+</mo> <mi>b</mi> <mo stretchy="false">)</mo> <mo>−</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mo stretchy="false">(</mo> <mn>3</mn> <mi>a</mi> <mo>+</mo> <mi>b</mi> <mo stretchy="false">)</mo> <mo stretchy="false">(</mo> <mi>a</mi> <mo>+</mo> <mn>3</mn> <mi>b</mi> <mo stretchy="false">)</mo> </msqrt> </mrow> </mrow> <mo>)</mo> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle P(a,b)\approx \pi \left(3(a+b)-{\sqrt {(3a+b)(a+3b)}}\right)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e6c549474cb9a445b72a58951f43d87dda2979e2" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:43.692ex; height:4.843ex;" alt="{\displaystyle P(a,b)\approx \pi \left(3(a+b)-{\sqrt {(3a+b)(a+3b)}}\right)}"></span>.</li></ul> <div class="mw-heading mw-heading2"><h2 id="Elipses_optiskā_īpašība"><span id="Elipses_optisk.C4.81_.C4.ABpa.C5.A1.C4.ABba"></span>Elipses optiskā īpašība</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Elipse&veaction=edit&section=5" title="Labot sadaļu: Elipses optiskā īpašība" class="mw-editsection-visualeditor"><span>labot šo sadaļu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Elipse&action=edit&section=5" title="Labot sadaļas vikikodu: Elipses optiskā īpašība"><span>labot pirmkodu</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Elipsei piemīt šāda optiskā īpašība: ja vienā tās fokusā novieto gaismas avotu, tad no tā izejošie stari pēc atstarošanās nonāk otrā elipses fokusā. </p> <div class="mw-heading mw-heading2"><h2 id="Skatīt_arī"><span id="Skat.C4.ABt_ar.C4.AB"></span>Skatīt arī</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Elipse&veaction=edit&section=6" title="Labot sadaļu: Skatīt arī" class="mw-editsection-visualeditor"><span>labot šo sadaļu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Elipse&action=edit&section=6" title="Labot sadaļas vikikodu: Skatīt arī"><span>labot pirmkodu</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Elipso%C4%ABds" title="Elipsoīds">Elipsoīds</a></li> <li><a href="/wiki/Eliptiskais_parabolo%C4%ABds" class="mw-redirect" title="Eliptiskais paraboloīds">Eliptiskais paraboloīds</a></li> <li><a href="/w/index.php?title=Fok%C4%81lais_r%C4%81diuss&action=edit&redlink=1" class="new" title="Fokālais rādiuss (vēl nav uzrakstīts)">Fokālais rādiuss</a></li> <li><a href="/wiki/Hiperbola" title="Hiperbola">Hiperbola</a></li> <li><a href="/wiki/Parabola" title="Parabola">Parabola</a></li> <li><a href="/wiki/Ri%C5%86%C4%B7a_l%C4%ABnija" title="Riņķa līnija">Riņķa līnija</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="Ārējās_saites"><span id=".C4.80r.C4.93j.C4.81s_saites"></span>Ārējās saites</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Elipse&veaction=edit&section=7" title="Labot sadaļu: Ārējās saites" class="mw-editsection-visualeditor"><span>labot šo sadaļu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Elipse&action=edit&section=7" title="Labot sadaļas vikikodu: Ārējās saites"><span>labot pirmkodu</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li>Eric W. Weisstein, <a rel="nofollow" class="external text" href="http://mathworld.wolfram.com/Ellipse.html">Ellipse</a>, MathWorld.</li></ul>    </div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1&useformat=desktop" alt="" width="1" height="1" style="border: none; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">Saturs iegūts no "<a dir="ltr" href="https://lv.wikipedia.org/w/index.php?title=Elipse&oldid=3853399">https://lv.wikipedia.org/w/index.php?title=Elipse&oldid=3853399</a>"</div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a href="/wiki/Special:Categories" title="Special:Categories">Kategorijas</a>: <ul><li><a href="/wiki/Kategorija:%C4%A2eometrija" title="Kategorija:Ģeometrija">Ģeometrija</a></li><li><a href="/wiki/Kategorija:Konusa_%C5%A1%C4%B7%C4%93lumi" title="Kategorija:Konusa šķēlumi">Konusa šķēlumi</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"> Šī lapa pēdējoreiz labota: 2023. gada 23. maijs plkst. 12.04.</li> <li id="footer-info-copyright">Teksts ir pieejams saskaņā ar <a rel="nofollow" class="external text" href="//creativecommons.org/licenses/by-sa/4.0/">Creative Commons Attribution/Share-Alike licenci</a>; var pastāvēt papildu ierobežojumi. Plašākai informācijai skatīt <a href="/wiki/Vikip%C4%93dija:Lieto%C5%A1anas_noteikumi" title="Vikipēdija:Lietošanas noteikumi">lietošanas noteikumus</a>.</li> </ul> <ul id="footer-places"> <li id="footer-places-privacy"><a href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Privacy_policy">Privātuma politika</a></li> <li id="footer-places-about"><a href="/wiki/Vikip%C4%93dija:Par">Par Vikipēdiju</a></li> <li id="footer-places-disclaimers"><a href="/wiki/Vikip%C4%93dija:Saist%C4%ABbu_atrunas">Saistību atrunas</a></li> <li id="footer-places-wm-codeofconduct"><a href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Universal_Code_of_Conduct">Code of Conduct</a></li> <li id="footer-places-developers"><a href="https://developer.wikimedia.org">Izstrādātāji</a></li> <li id="footer-places-statslink"><a href="https://stats.wikimedia.org/#/lv.wikipedia.org">Statistika</a></li> <li id="footer-places-cookiestatement"><a href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Cookie_statement">Sīkdatņu deklarācija</a></li> <li id="footer-places-mobileview"><a href="//lv.m.wikipedia.org/w/index.php?title=Elipse&mobileaction=toggle_view_mobile" class="noprint stopMobileRedirectToggle">Mobilais skats</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-6d94db5ff4-mlnrs","wgBackendResponseTime":156,"wgPageParseReport":{"limitreport":{"cputime":"0.049","walltime":"0.248","ppvisitednodes":{"value":177,"limit":1000000},"postexpandincludesize":{"value":1187,"limit":2097152},"templateargumentsize":{"value":367,"limit":2097152},"expansiondepth":{"value":12,"limit":100},"expensivefunctioncount":{"value":1,"limit":500},"unstrip-depth":{"value":0,"limit":20},"unstrip-size":{"value":648,"limit":5000000},"entityaccesscount":{"value":0,"limit":400},"timingprofile":["100.00% 13.748 1 -total","100.00% 13.748 1 Veidne:Val"," 78.59% 10.805 1 Veidne:Val-el"," 55.32% 7.605 1 Veidne:LangWithName"," 32.04% 4.405 1 Veidne:Lang"," 20.28% 2.788 1 Veidne:Gree"," 10.22% 1.405 1 Veidne:Language_link"]},"cachereport":{"origin":"mw-web.codfw.main-76dfdc59c8-sqmcq","timestamp":"20241126120848","ttl":2592000,"transientcontent":false}}});});</script> <script type="application/ld+json">{"@context":"https:\/\/schema.org","@type":"Article","name":"Elipse","url":"https:\/\/lv.wikipedia.org\/wiki\/Elipse","sameAs":"http:\/\/www.wikidata.org\/entity\/Q40112","mainEntity":"http:\/\/www.wikidata.org\/entity\/Q40112","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":"2006-06-09T13:52:43Z","dateModified":"2023-05-23T10:04:05Z","image":"https:\/\/upload.wikimedia.org\/wikipedia\/commons\/1\/12\/Conicas1.PNG"}</script> </body> </html>