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Ekscentricitetas – Vikipedija

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Available in 55 languages" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-55" 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">55 kalbų</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/Eksentrisiteit_(wiskunde)" title="Eksentrisiteit (wiskunde) – afrikanų" lang="af" hreflang="af" data-title="Eksentrisiteit (wiskunde)" data-language-autonym="Afrikaans" data-language-local-name="afrikanų" 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/Exzentrizit%C3%A4t_(Mathematik)" title="Exzentrizität (Mathematik) – Šveicarijos vokiečių" lang="gsw" hreflang="gsw" data-title="Exzentrizität (Mathematik)" data-language-autonym="Alemannisch" data-language-local-name="Šveicarijos vokiečių" class="interlanguage-link-target"><span>Alemannisch</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%A7%D8%AE%D8%AA%D9%84%D8%A7%D9%81_%D9%85%D8%B1%D9%83%D8%B2%D9%8A" title="اختلاف مركزي – arabų" lang="ar" hreflang="ar" data-title="اختلاف مركزي" data-language-autonym="العربية" data-language-local-name="arabų" 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/Escentricid%C3%A1_(matem%C3%A1tica)" title="Escentricidá (matemática) – asturianų" lang="ast" hreflang="ast" data-title="Escentricidá (matemática)" data-language-autonym="Asturianu" data-language-local-name="asturianų" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%AD%D0%BA%D1%81%D1%86%D1%8D%D0%BD%D1%82%D1%80%D1%8B%D1%81%D1%96%D1%82%D1%8D%D1%82" title="Эксцэнтрысітэт – baltarusių" lang="be" hreflang="be" data-title="Эксцэнтрысітэт" data-language-autonym="Беларуская" data-language-local-name="baltarusių" 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%BA%D1%81%D1%86%D1%8D%D0%BD%D1%82%D1%80%D1%8B%D1%81%D1%8B%D1%82%D1%8D%D1%82" title="Эксцэнтрысытэт – Belarusian (Taraškievica orthography)" lang="be-tarask" hreflang="be-tarask" data-title="Эксцэнтрысытэт" 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%BA%D1%81%D1%86%D0%B5%D0%BD%D1%82%D1%80%D0%B8%D1%86%D0%B8%D1%82%D0%B5%D1%82_(%D0%BC%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0)" title="Ексцентрицитет (математика) – bulgarų" lang="bg" hreflang="bg" data-title="Ексцентрицитет (математика)" data-language-autonym="Български" data-language-local-name="bulgarų" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Ekscentricitet" title="Ekscentricitet – bosnių" lang="bs" hreflang="bs" data-title="Ekscentricitet" data-language-autonym="Bosanski" data-language-local-name="bosnių" 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/Excentricitat" title="Excentricitat – katalonų" lang="ca" hreflang="ca" data-title="Excentricitat" data-language-autonym="Català" data-language-local-name="katalonų" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%D8%AC%DB%8C%D8%A7%D9%88%D8%A7%D8%B2%DB%8C%DB%8C_%DA%86%DB%95%D9%82%DB%8C_(%D8%A6%DB%95%D9%86%D8%AF%D8%A7%D8%B2%DB%95)" title="جیاوازیی چەقی (ئەندازە) – soranių kurdų" lang="ckb" hreflang="ckb" data-title="جیاوازیی چەقی (ئەندازە)" data-language-autonym="کوردی" data-language-local-name="soranių kurdų" 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/V%C3%BDst%C5%99ednost_ku%C5%BEelose%C4%8Dky" title="Výstřednost kuželosečky – čekų" lang="cs" hreflang="cs" data-title="Výstřednost kuželosečky" data-language-autonym="Čeština" data-language-local-name="čekų" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Excentricitet_(matematik)" title="Excentricitet (matematik) – danų" lang="da" hreflang="da" data-title="Excentricitet (matematik)" data-language-autonym="Dansk" data-language-local-name="danų" 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/Exzentrizit%C3%A4t_(Mathematik)" title="Exzentrizität (Mathematik) – vokiečių" lang="de" hreflang="de" data-title="Exzentrizität (Mathematik)" data-language-autonym="Deutsch" data-language-local-name="vokiečių" 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%95%CE%BA%CE%BA%CE%B5%CE%BD%CF%84%CF%81%CF%8C%CF%84%CE%B7%CF%84%CE%B1" title="Εκκεντρότητα – graikų" lang="el" hreflang="el" data-title="Εκκεντρότητα" data-language-autonym="Ελληνικά" data-language-local-name="graikų" 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/Eccentricity_(mathematics)" title="Eccentricity (mathematics) – anglų" lang="en" hreflang="en" data-title="Eccentricity (mathematics)" data-language-autonym="English" data-language-local-name="anglų" 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/Discentreco" title="Discentreco – esperanto" lang="eo" hreflang="eo" data-title="Discentreco" 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/Excentricidad_(matem%C3%A1tica)" title="Excentricidad (matemática) – ispanų" lang="es" hreflang="es" data-title="Excentricidad (matemática)" data-language-autonym="Español" data-language-local-name="ispanų" 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/Ekstsentrilisus" title="Ekstsentrilisus – estų" lang="et" hreflang="et" data-title="Ekstsentrilisus" data-language-autonym="Eesti" data-language-local-name="estų" 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/Eszentrikotasun" title="Eszentrikotasun – baskų" lang="eu" hreflang="eu" data-title="Eszentrikotasun" data-language-autonym="Euskara" data-language-local-name="baskų" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%A8%D8%B1%D9%88%D9%86%E2%80%8C%D9%85%D8%B1%DA%A9%D8%B2%DB%8C_(%D9%87%D9%86%D8%AF%D8%B3%D9%87)" title="برون‌مرکزی (هندسه) – persų" lang="fa" hreflang="fa" data-title="برون‌مرکزی (هندسه)" data-language-autonym="فارسی" data-language-local-name="persų" 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/Eksentrisyys" title="Eksentrisyys – suomių" lang="fi" hreflang="fi" data-title="Eksentrisyys" data-language-autonym="Suomi" data-language-local-name="suomių" 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/Excentricit%C3%A9_(math%C3%A9matiques)" title="Excentricité (mathématiques) – prancūzų" lang="fr" hreflang="fr" data-title="Excentricité (mathématiques)" data-language-autonym="Français" data-language-local-name="prancūzų" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Excentricidade" title="Excentricidade – galisų" lang="gl" hreflang="gl" data-title="Excentricidade" data-language-autonym="Galego" data-language-local-name="galisų" 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%A7%D7%A1%D7%A6%D7%A0%D7%98%D7%A8%D7%99%D7%95%D7%AA_(%D7%9E%D7%AA%D7%9E%D7%98%D7%99%D7%A7%D7%94)" title="אקסצנטריות (מתמטיקה) – hebrajų" lang="he" hreflang="he" data-title="אקסצנטריות (מתמטיקה)" data-language-autonym="עברית" data-language-local-name="hebrajų" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Ekscentricitet" title="Ekscentricitet – kroatų" lang="hr" hreflang="hr" data-title="Ekscentricitet" data-language-autonym="Hrvatski" data-language-local-name="kroatų" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Excentricit%C3%A1s_(geometria)" title="Excentricitás (geometria) – vengrų" lang="hu" hreflang="hu" data-title="Excentricitás (geometria)" data-language-autonym="Magyar" data-language-local-name="vengrų" 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%D6%84%D5%BD%D6%81%D5%A5%D5%B6%D5%BF%D6%80%D5%AB%D5%BD%D5%AB%D5%BF%D5%A5%D5%BF" title="Էքսցենտրիսիտետ – armėnų" lang="hy" hreflang="hy" data-title="Էքսցենտրիսիտետ" data-language-autonym="Հայերեն" data-language-local-name="armėnų" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Eccentricit%C3%A0_(matematica)" title="Eccentricità (matematica) – italų" lang="it" hreflang="it" data-title="Eccentricità (matematica)" data-language-autonym="Italiano" data-language-local-name="italų" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E9%9B%A2%E5%BF%83%E7%8E%87" title="離心率 – japonų" lang="ja" hreflang="ja" data-title="離心率" data-language-autonym="日本語" data-language-local-name="japonų" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/%E1%83%94%E1%83%A5%E1%83%A1%E1%83%AA%E1%83%94%E1%83%9C%E1%83%A2%E1%83%A0%E1%83%98%E1%83%A1%E1%83%98%E1%83%A2%E1%83%94%E1%83%A2%E1%83%98" title="ექსცენტრისიტეტი – gruzinų" lang="ka" hreflang="ka" data-title="ექსცენტრისიტეტი" data-language-autonym="ქართული" data-language-local-name="gruzinų" 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/Allunmas" title="Allunmas – kebailų" lang="kab" hreflang="kab" data-title="Allunmas" data-language-autonym="Taqbaylit" data-language-local-name="kebailų" class="interlanguage-link-target"><span>Taqbaylit</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EC%9D%B4%EC%8B%AC%EB%A5%A0" title="이심률 – korėjiečių" lang="ko" hreflang="ko" data-title="이심률" data-language-autonym="한국어" data-language-local-name="korėjiečių" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/Eccentricitas" title="Eccentricitas – lotynų" lang="la" hreflang="la" data-title="Eccentricitas" data-language-autonym="Latina" data-language-local-name="lotynų" 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/Exzentrizit%C3%A9it_(Mathematik)" title="Exzentrizitéit (Mathematik) – liuksemburgiečių" lang="lb" hreflang="lb" data-title="Exzentrizitéit (Mathematik)" data-language-autonym="Lëtzebuergesch" data-language-local-name="liuksemburgiečių" class="interlanguage-link-target"><span>Lëtzebuergesch</span></a></li><li class="interlanguage-link interwiki-ml mw-list-item"><a href="https://ml.wikipedia.org/wiki/%E0%B4%B5%E0%B4%BF%E0%B4%95%E0%B5%87%E0%B4%A8%E0%B5%8D%E0%B4%A6%E0%B5%8D%E0%B4%B0%E0%B4%A4" title="വികേന്ദ്രത – malajalių" lang="ml" hreflang="ml" data-title="വികേന്ദ്രത" data-language-autonym="മലയാളം" data-language-local-name="malajalių" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-nds mw-list-item"><a href="https://nds.wikipedia.org/wiki/Exzentrizit%C3%A4t" title="Exzentrizität – Žemutinės Vokietijos" lang="nds" hreflang="nds" data-title="Exzentrizität" data-language-autonym="Plattdüütsch" data-language-local-name="Žemutinės Vokietijos" class="interlanguage-link-target"><span>Plattdüütsch</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Excentriciteit_(wiskunde)" title="Excentriciteit (wiskunde) – olandų" lang="nl" hreflang="nl" data-title="Excentriciteit (wiskunde)" data-language-autonym="Nederlands" data-language-local-name="olandų" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Eksentrisitet" title="Eksentrisitet – norvegų bukmolas" lang="nb" hreflang="nb" data-title="Eksentrisitet" data-language-autonym="Norsk bokmål" data-language-local-name="norvegų bukmolas" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Mimo%C5%9Br%C3%B3d_(matematyka)" title="Mimośród (matematyka) – lenkų" lang="pl" hreflang="pl" data-title="Mimośród (matematyka)" data-language-autonym="Polski" data-language-local-name="lenkų" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Excentricidade_(matem%C3%A1tica)" title="Excentricidade (matemática) – portugalų" lang="pt" hreflang="pt" data-title="Excentricidade (matemática)" data-language-autonym="Português" data-language-local-name="portugalų" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Excentricitate_(matematic%C4%83)" title="Excentricitate (matematică) – rumunų" lang="ro" hreflang="ro" data-title="Excentricitate (matematică)" data-language-autonym="Română" data-language-local-name="rumunų" 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%BA%D1%81%D1%86%D0%B5%D0%BD%D1%82%D1%80%D0%B8%D1%81%D0%B8%D1%82%D0%B5%D1%82" title="Эксцентриситет – rusų" lang="ru" hreflang="ru" data-title="Эксцентриситет" data-language-autonym="Русский" data-language-local-name="rusų" 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%BA%D1%81%D1%86%D0%B5%D0%BD%D1%82%D1%80%D0%B8%D1%86%D0%B8%D1%82%D0%B0" title="Ексцентрицита – rusinų" lang="rue" hreflang="rue" data-title="Ексцентрицита" data-language-autonym="Русиньскый" data-language-local-name="rusinų" class="interlanguage-link-target"><span>Русиньскый</span></a></li><li class="interlanguage-link interwiki-sco mw-list-item"><a href="https://sco.wikipedia.org/wiki/Eccentricity_(mathematics)" title="Eccentricity (mathematics) – škotų" lang="sco" hreflang="sco" data-title="Eccentricity (mathematics)" data-language-autonym="Scots" data-language-local-name="škotų" class="interlanguage-link-target"><span>Scots</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Ekscentricitet" title="Ekscentricitet – serbų-kroatų" lang="sh" hreflang="sh" data-title="Ekscentricitet" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="serbų-kroatų" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Izsrednost" title="Izsrednost – slovėnų" lang="sl" hreflang="sl" data-title="Izsrednost" data-language-autonym="Slovenščina" data-language-local-name="slovėnų" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a 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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">Straipsnis iš Vikipedijos, laisvosios enciklopedijos.</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="lt" dir="ltr"><figure typeof="mw:File/Thumb"><a href="/wiki/Vaizdas:Ellipse_and_hyperbola.gif" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/5/54/Ellipse_and_hyperbola.gif/250px-Ellipse_and_hyperbola.gif" decoding="async" width="250" height="250" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/54/Ellipse_and_hyperbola.gif/375px-Ellipse_and_hyperbola.gif 1.5x, //upload.wikimedia.org/wikipedia/commons/5/54/Ellipse_and_hyperbola.gif 2x" data-file-width="400" data-file-height="400" /></a><figcaption>Elipsės ir hiperbolės (rudos kreivės) su fiksuotu vienu pusašiu ir kintančiu ekscentricitetu <i>e</i>.</figcaption></figure> <p><b>Ekscentricitetas</b> (santrumpa – <i>e</i>) – tai dydis, apibūdinantis <a href="/wiki/Orbita" title="Orbita">orbitos</a> elipsiškumą. Jis lygus <a href="/wiki/Atstumas" title="Atstumas">atstumo</a> tarp <a href="/wiki/Elips%C4%97" title="Elipsė">elipsės</a> centro ir jos židinio santykiui su didžiuoju elipsės <a href="/w/index.php?title=Pusa%C5%A1is&amp;action=edit&amp;redlink=1" class="new" title="Pusašis (puslapis neegzistuoja)">pusašiu</a>. <a href="/wiki/Apskritimas" title="Apskritimas">Apskritiminės</a> orbitos e = 0, <a href="/wiki/Parabol%C4%97" title="Parabolė">parabolinės</a> orbitos e = 1. Žinant didįjį orbitos pusašį ir ekscentricitetą, galima apskaičiuoti orbitos <a href="https://lt.wiktionary.org/wiki/perihelis" class="extiw" title="wikt:perihelis">perihelį</a> ir <a href="https://lt.wiktionary.org/wiki/afelis" class="extiw" title="wikt:afelis">afelį</a>. </p><p>Elipsės ekscentricitetas apskaičiuojamas pagal formulę: </p><p><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\text{e}}={\sqrt {1-{b^{2} \over a^{2}}}},}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mtext>e</mtext> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>1</mn> <mo>&#x2212;<!-- − --></mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msup> <mi>b</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> </msqrt> </mrow> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\text{e}}={\sqrt {1-{b^{2} \over a^{2}}}},}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9aa9e0923ad2b044d912780b9f43186aa83ffbcf" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.005ex; width:14.224ex; height:7.509ex;" alt="{\displaystyle {\text{e}}={\sqrt {1-{b^{2} \over a^{2}}}},}"></span> kur a ir b atitinkamai yra elipsės didysis ir mažasis pusašiai. </p><p>Ekscentriciteto sąvoka įvedama ir <a href="/wiki/Hiperbol%C4%97_(matematika)" title="Hiperbolė (matematika)">hiperbolėms</a>, joms jis yra didesnis už vienetą. Kuo didesnis yra hiperbolės ekscentricitetas, tuo labiau jos dvi šakos yra panašios į lygiagrečias tieses. </p><p>Hiperbolės ekscentricitetas apskaičiuojamas pagal formulę: </p><p><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\text{e}}={\sqrt {1+{b^{2} \over a^{2}}}},}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mtext>e</mtext> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>1</mn> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msup> <mi>b</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> </msqrt> </mrow> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\text{e}}={\sqrt {1+{b^{2} \over a^{2}}}},}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c965cb1ff6c1dd1287e3e30b9e0c036e24f1eb0a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.005ex; width:14.224ex; height:7.509ex;" alt="{\displaystyle {\text{e}}={\sqrt {1+{b^{2} \over a^{2}}}},}"></span> kur a ir b atitinkamai yra hiperbolės realus ir menamas pusašiai. </p><p>Kreivės, turinčios vienodus ekscentricitetus, yra panašios.<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">&#91;</span>1<span class="cite-bracket">&#93;</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Šaltiniai"><span id=".C5.A0altiniai"></span>Šaltiniai</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Ekscentricitetas&amp;veaction=edit&amp;section=1" title="Redaguoti skyrelį: Šaltiniai" class="mw-editsection-visualeditor"><span>redaguoti</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Ekscentricitetas&amp;action=edit&amp;section=1" title="Edit section&#039;s source code: Šaltiniai"><span>redaguoti vikitekstą</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="references-small" style="list-style-type: decimal;"> <ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><a href="#cite_ref-1">↑</a></span> <span class="reference-text"><a rel="nofollow" class="external text" href="https://www.vle.lt/straipsnis/ekscentricitetas/">ekscentricitetas</a>. <a href="/wiki/Visuotin%C4%97_lietuvi%C5%B3_enciklopedija" title="Visuotinė lietuvių enciklopedija">Visuotinė lietuvių enciklopedija</a> (tikrinta 2024-02-03).</span> </li> </ol> </div> <!-- NewPP limit report Parsed by mw‐web.eqiad.main‐5dc468848‐c65qz Cached time: 20241124161755 Cache expiry: 2592000 Reduced expiry: false Complications: [] CPU time usage: 0.017 seconds Real time usage: 0.070 seconds Preprocessor visited node count: 72/1000000 Post‐expand include size: 286/2097152 bytes Template argument size: 42/2097152 bytes Highest expansion depth: 6/100 Expensive parser function count: 0/500 Unstrip recursion depth: 0/20 Unstrip post‐expand size: 541/5000000 bytes Number of Wikibase entities loaded: 0/400 --> <!-- Transclusion expansion time report (%,ms,calls,template) 100.00% 5.451 1 -total 100.00% 5.451 1 Šablonas:Išnašos 38.45% 2.096 1 Šablonas:Vle --> <!-- Saved in parser cache with key ltwiki:pcache:idhash:23552-0!canonical and timestamp 20241124161755 and revision id 7179182. 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