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<span class="cdx-text-input__icon cdx-text-input__start-icon"></span> </div> <input type="hidden" name="title" value="מיוחד:חיפוש"> </div> <button class="cdx-button cdx-search-input__end-button">חיפוש</button> </form> </div> </div> </div> <nav class="vector-user-links vector-user-links-wide" aria-label="כלים אישיים"> <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="מראה"> <div id="vector-appearance-dropdown" class="vector-dropdown " title="שינוי המראה של גודל הגופן, הרוחב והצבע של הדף" > <input type="checkbox" id="vector-appearance-dropdown-checkbox" role="button" aria-haspopup="true" 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id="pt-sitesupport-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="https://donate.wikimedia.org/?wmf_source=donate&wmf_medium=sidebar&wmf_campaign=he.wikipedia.org&uselang=he" class=""><span>תרומה לוויקיפדיה</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=%D7%9E%D7%99%D7%95%D7%97%D7%93:%D7%94%D7%A8%D7%A9%D7%9E%D7%94_%D7%9C%D7%97%D7%A9%D7%91%D7%95%D7%9F&returnto=%D7%90%D7%A7%D7%A1%D7%A6%D7%A0%D7%98%D7%A8%D7%99%D7%95%D7%AA+%28%D7%9E%D7%AA%D7%9E%D7%98%D7%99%D7%A7%D7%94%29" title="מומלץ ליצור חשבון ולהיכנס אליו, אך אין חובה לעשות זאת" class=""><span>יצירת חשבון</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=%D7%9E%D7%99%D7%95%D7%97%D7%93:%D7%9B%D7%A0%D7%99%D7%A1%D7%94_%D7%9C%D7%97%D7%A9%D7%91%D7%95%D7%9F&returnto=%D7%90%D7%A7%D7%A1%D7%A6%D7%A0%D7%98%D7%A8%D7%99%D7%95%D7%AA+%28%D7%9E%D7%AA%D7%9E%D7%98%D7%99%D7%A7%D7%94%29" title="מומלץ להיכנס לחשבון, אך אין חובה לעשות זאת [o]" accesskey="o" class=""><span>כניסה לחשבון</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="אפשרויות נוספות" > <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="כלים אישיים" > <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">כלים אישיים</span> </label> <div class="vector-dropdown-content"> <div id="p-personal" class="vector-menu mw-portlet mw-portlet-personal user-links-collapsible-item" title="תפריט משתמש" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport" class="user-links-collapsible-item mw-list-item"><a href="https://donate.wikimedia.org/?wmf_source=donate&wmf_medium=sidebar&wmf_campaign=he.wikipedia.org&uselang=he"><span>תרומה לוויקיפדיה</span></a></li><li id="pt-createaccount" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=%D7%9E%D7%99%D7%95%D7%97%D7%93:%D7%94%D7%A8%D7%A9%D7%9E%D7%94_%D7%9C%D7%97%D7%A9%D7%91%D7%95%D7%9F&returnto=%D7%90%D7%A7%D7%A1%D7%A6%D7%A0%D7%98%D7%A8%D7%99%D7%95%D7%AA+%28%D7%9E%D7%AA%D7%9E%D7%98%D7%99%D7%A7%D7%94%29" title="מומלץ ליצור חשבון ולהיכנס אליו, אך אין חובה לעשות זאת"><span class="vector-icon mw-ui-icon-userAdd mw-ui-icon-wikimedia-userAdd"></span> <span>יצירת חשבון</span></a></li><li id="pt-login" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=%D7%9E%D7%99%D7%95%D7%97%D7%93:%D7%9B%D7%A0%D7%99%D7%A1%D7%94_%D7%9C%D7%97%D7%A9%D7%91%D7%95%D7%9F&returnto=%D7%90%D7%A7%D7%A1%D7%A6%D7%A0%D7%98%D7%A8%D7%99%D7%95%D7%AA+%28%D7%9E%D7%AA%D7%9E%D7%98%D7%99%D7%A7%D7%94%29" title="מומלץ להיכנס לחשבון, אך אין חובה לעשות זאת [o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>כניסה לחשבון</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"> דפים לעורכים שלא נכנסו לחשבון <a href="/wiki/%D7%A2%D7%96%D7%A8%D7%94:%D7%91%D7%A8%D7%95%D7%9B%D7%99%D7%9D_%D7%94%D7%91%D7%90%D7%99%D7%9D" aria-label="מידע נוסף על עריכה"><span>מידע נוסף</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/%D7%9E%D7%99%D7%95%D7%97%D7%93:%D7%94%D7%AA%D7%A8%D7%95%D7%9E%D7%95%D7%AA_%D7%A9%D7%9C%D7%99" title="רשימת העריכות שנעשו מכתובת IP זו [y]" accesskey="y"><span>תרומות</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/%D7%9E%D7%99%D7%95%D7%97%D7%93:%D7%94%D7%A9%D7%99%D7%97%D7%94_%D7%A9%D7%9C%D7%99" title="דיון על העריכות שנעשו מכתובת IP זו [n]" accesskey="n"><span>שיחה</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="אתר"> <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="תוכן עניינים" 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">תוכן עניינים</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">העברה לסרגל הצד</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">הסתרה</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">התחלה</div> </a> </li> <li id="toc-אליפסה" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#אליפסה"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>אליפסה</span> </div> </a> <ul id="toc-אליפסה-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-היפרבולה" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#היפרבולה"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>היפרבולה</span> </div> </a> <ul id="toc-היפרבולה-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-ראו_גם" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#ראו_גם"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>ראו גם</span> </div> </a> <ul id="toc-ראו_גם-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-קישורים_חיצוניים" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#קישורים_חיצוניים"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>קישורים חיצוניים</span> </div> </a> <ul id="toc-קישורים_חיצוניים-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="תוכן עניינים" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" title="תוכן עניינים" > <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="מצב תוכן העניינים" > <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">מצב תוכן העניינים</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">אקסצנטריות (מתמטיקה)</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="מעבר לערך בשפה אחרת. זמין ב־56 שפות" > <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-56" 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">56 שפות</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Eccentricity_(mathematics)" title="Eccentricity (mathematics) – אנגלית" lang="en" hreflang="en" data-title="Eccentricity (mathematics)" data-language-autonym="English" data-language-local-name="אנגלית" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-af mw-list-item"><a href="https://af.wikipedia.org/wiki/Eksentrisiteit_(wiskunde)" title="Eksentrisiteit (wiskunde) – אפריקאנס" lang="af" hreflang="af" data-title="Eksentrisiteit (wiskunde)" data-language-autonym="Afrikaans" data-language-local-name="אפריקאנס" 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) – גרמנית שווייצרית" lang="gsw" hreflang="gsw" data-title="Exzentrizität (Mathematik)" data-language-autonym="Alemannisch" data-language-local-name="גרמנית שווייצרית" 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 – ערבית" lang="ar" hreflang="ar" data-title="اختلاف مركزي" data-language-autonym="العربية" data-language-local-name="ערבית" 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) – אסטורית" lang="ast" hreflang="ast" data-title="Escentricidá (matemática)" data-language-autonym="Asturianu" data-language-local-name="אסטורית" 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 – בלארוסית" lang="be" hreflang="be" data-title="Эксцэнтрысітэт" data-language-autonym="Беларуская" data-language-local-name="בלארוסית" 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 – בלארוסית טרשקביץ׳" lang="be-tarask" hreflang="be-tarask" data-title="Эксцэнтрысытэт" data-language-autonym="Беларуская (тарашкевіца)" data-language-local-name="בלארוסית טרשקביץ׳" 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) – בולגרית" lang="bg" hreflang="bg" data-title="Ексцентрицитет (математика)" data-language-autonym="Български" data-language-local-name="בולגרית" 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 – בוסנית" lang="bs" hreflang="bs" data-title="Ekscentricitet" data-language-autonym="Bosanski" data-language-local-name="בוסנית" 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 – קטלאנית" lang="ca" hreflang="ca" data-title="Excentricitat" data-language-autonym="Català" data-language-local-name="קטלאנית" 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) – כורדית סוראנית" lang="ckb" hreflang="ckb" data-title="جیاوازیی چەقی (ئەندازە)" data-language-autonym="کوردی" data-language-local-name="כורדית סוראנית" 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/Excentricita_dr%C3%A1hy" title="Excentricita dráhy – צ׳כית" lang="cs" hreflang="cs" data-title="Excentricita dráhy" data-language-autonym="Čeština" data-language-local-name="צ׳כית" 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) – דנית" lang="da" hreflang="da" data-title="Excentricitet (matematik)" data-language-autonym="Dansk" data-language-local-name="דנית" 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) – גרמנית" lang="de" hreflang="de" data-title="Exzentrizität (Mathematik)" data-language-autonym="Deutsch" data-language-local-name="גרמנית" 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 – יוונית" lang="el" hreflang="el" data-title="Εκκεντρότητα" data-language-autonym="Ελληνικά" data-language-local-name="יוונית" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Discentreco" title="Discentreco – אספרנטו" lang="eo" hreflang="eo" data-title="Discentreco" data-language-autonym="Esperanto" data-language-local-name="אספרנטו" 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) – ספרדית" lang="es" hreflang="es" data-title="Excentricidad (matemática)" data-language-autonym="Español" data-language-local-name="ספרדית" 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 – אסטונית" lang="et" hreflang="et" data-title="Ekstsentrilisus" data-language-autonym="Eesti" data-language-local-name="אסטונית" 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 – בסקית" lang="eu" hreflang="eu" data-title="Eszentrikotasun" data-language-autonym="Euskara" data-language-local-name="בסקית" 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) – פרסית" lang="fa" hreflang="fa" data-title="برون‌مرکزی (هندسه)" data-language-autonym="فارسی" data-language-local-name="פרסית" 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 – פינית" lang="fi" hreflang="fi" data-title="Eksentrisyys" data-language-autonym="Suomi" data-language-local-name="פינית" 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) – צרפתית" lang="fr" hreflang="fr" data-title="Excentricité (mathématiques)" data-language-autonym="Français" data-language-local-name="צרפתית" 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 – גליסית" lang="gl" hreflang="gl" data-title="Excentricidade" data-language-autonym="Galego" data-language-local-name="גליסית" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Ekscentricitet" title="Ekscentricitet – קרואטית" lang="hr" hreflang="hr" data-title="Ekscentricitet" data-language-autonym="Hrvatski" data-language-local-name="קרואטית" 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) – הונגרית" lang="hu" hreflang="hu" data-title="Excentricitás (geometria)" data-language-autonym="Magyar" data-language-local-name="הונגרית" 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 – ארמנית" lang="hy" hreflang="hy" data-title="Էքսցենտրիսիտետ" data-language-autonym="Հայերեն" data-language-local-name="ארמנית" 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) – איטלקית" lang="it" hreflang="it" data-title="Eccentricità (matematica)" data-language-autonym="Italiano" data-language-local-name="איטלקית" 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 – יפנית" lang="ja" hreflang="ja" data-title="離心率" data-language-autonym="日本語" data-language-local-name="יפנית" 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 – גאורגית" lang="ka" hreflang="ka" data-title="ექსცენტრისიტეტი" data-language-autonym="ქართული" data-language-local-name="גאורגית" 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 – קבילה" lang="kab" hreflang="kab" data-title="Allunmas" data-language-autonym="Taqbaylit" data-language-local-name="קבילה" 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 – קוריאנית" lang="ko" hreflang="ko" data-title="이심률" data-language-autonym="한국어" data-language-local-name="קוריאנית" 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 – לטינית" lang="la" hreflang="la" data-title="Eccentricitas" data-language-autonym="Latina" data-language-local-name="לטינית" 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) – לוקסמבורגית" lang="lb" hreflang="lb" data-title="Exzentrizitéit (Mathematik)" data-language-autonym="Lëtzebuergesch" data-language-local-name="לוקסמבורגית" 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/Ekscentricitetas" title="Ekscentricitetas – ליטאית" lang="lt" hreflang="lt" data-title="Ekscentricitetas" data-language-autonym="Lietuvių" data-language-local-name="ליטאית" class="interlanguage-link-target"><span>Lietuvių</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 – מליאלאם" lang="ml" hreflang="ml" data-title="വികേന്ദ്രത" data-language-autonym="മലയാളം" data-language-local-name="מליאלאם" 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 – גרמנית תחתית" lang="nds" hreflang="nds" data-title="Exzentrizität" data-language-autonym="Plattdüütsch" data-language-local-name="גרמנית תחתית" 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) – הולנדית" lang="nl" hreflang="nl" data-title="Excentriciteit (wiskunde)" data-language-autonym="Nederlands" data-language-local-name="הולנדית" 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/Eksentrisitet" title="Eksentrisitet – נורווגית חדשה" lang="nn" hreflang="nn" data-title="Eksentrisitet" data-language-autonym="Norsk nynorsk" data-language-local-name="נורווגית חדשה" 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/Eksentrisitet" title="Eksentrisitet – נורווגית ספרותית" lang="nb" hreflang="nb" data-title="Eksentrisitet" data-language-autonym="Norsk bokmål" data-language-local-name="נורווגית ספרותית" 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) – פולנית" lang="pl" hreflang="pl" data-title="Mimośród (matematyka)" data-language-autonym="Polski" data-language-local-name="פולנית" 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) – פורטוגזית" lang="pt" hreflang="pt" data-title="Excentricidade (matemática)" data-language-autonym="Português" data-language-local-name="פורטוגזית" 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) – רומנית" lang="ro" hreflang="ro" data-title="Excentricitate (matematică)" data-language-autonym="Română" data-language-local-name="רומנית" 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 – רוסית" lang="ru" hreflang="ru" data-title="Эксцентриситет" data-language-autonym="Русский" data-language-local-name="רוסית" 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 – רוסינית קרפטית" lang="rue" hreflang="rue" data-title="Ексцентрицита" data-language-autonym="Русиньскый" data-language-local-name="רוסינית קרפטית" 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) – סקוטית" lang="sco" hreflang="sco" data-title="Eccentricity (mathematics)" data-language-autonym="Scots" data-language-local-name="סקוטית" 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 – סרבו-קרואטית" lang="sh" hreflang="sh" data-title="Ekscentricitet" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="סרבו-קרואטית" 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 – סלובנית" lang="sl" hreflang="sl" data-title="Izsrednost" data-language-autonym="Slovenščina" data-language-local-name="סלובנית" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.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" title="Ексцентрицитет – סרבית" lang="sr" hreflang="sr" data-title="Ексцентрицитет" data-language-autonym="Српски / srpski" data-language-local-name="סרבית" 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/Excentricitet" title="Excentricitet – שוודית" lang="sv" hreflang="sv" data-title="Excentricitet" data-language-autonym="Svenska" data-language-local-name="שוודית" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%B5%E0%AE%9F%E0%AF%8D%E0%AE%9F%E0%AE%B5%E0%AE%BF%E0%AE%B2%E0%AE%95%E0%AE%B2%E0%AF%8D" title="வட்டவிலகல் – טמילית" lang="ta" hreflang="ta" data-title="வட்டவிலகல்" data-language-autonym="தமிழ்" data-language-local-name="טמילית" 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%84%E0%B8%A7%E0%B8%B2%E0%B8%A1%E0%B9%80%E0%B8%A2%E0%B8%B7%E0%B9%89%E0%B8%AD%E0%B8%87%E0%B8%A8%E0%B8%B9%E0%B8%99%E0%B8%A2%E0%B9%8C%E0%B8%81%E0%B8%A5%E0%B8%B2%E0%B8%87_(%E0%B8%84%E0%B8%93%E0%B8%B4%E0%B8%95%E0%B8%A8%E0%B8%B2%E0%B8%AA%E0%B8%95%E0%B8%A3%E0%B9%8C)" title="ความเยื้องศูนย์กลาง (คณิตศาสตร์) – תאית" lang="th" hreflang="th" data-title="ความเยื้องศูนย์กลาง (คณิตศาสตร์)" data-language-autonym="ไทย" data-language-local-name="תאית" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Eksantriklik_(matematik)" title="Eksantriklik (matematik) – טורקית" lang="tr" hreflang="tr" data-title="Eksantriklik (matematik)" data-language-autonym="Türkçe" data-language-local-name="טורקית" 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%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="Ексцентриситет – אוקראינית" lang="uk" hreflang="uk" data-title="Ексцентриситет" data-language-autonym="Українська" data-language-local-name="אוקראינית" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Ekssentrisitet" title="Ekssentrisitet – אוזבקית" lang="uz" hreflang="uz" data-title="Ekssentrisitet" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="אוזבקית" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/%C4%90%E1%BB%99_l%E1%BB%87ch_t%C3%A2m" title="Độ lệch tâm – וייטנאמית" lang="vi" hreflang="vi" data-title="Độ lệch tâm" data-language-autonym="Tiếng Việt" data-language-local-name="וייטנאמית" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E9%9B%A2%E5%BF%83%E7%8E%87" title="離心率 – סינית" lang="zh" hreflang="zh" data-title="離心率" data-language-autonym="中文" data-language-local-name="סינית" class="interlanguage-link-target"><span>中文</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/Q104486#sitelinks-wikipedia" title="עריכת קישורים בין־לשוניים" class="wbc-editpage">עריכת הקישורים</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="מרחבי שם"> <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/%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="צפייה בדף התוכן [c]" accesskey="c"><span>ערך</span></a></li><li id="ca-talk" class="vector-tab-noicon mw-list-item"><a href="/wiki/%D7%A9%D7%99%D7%97%D7%94:%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)" rel="discussion" title="שיחה על דף התוכן [t]" accesskey="t"><span>שיחה</span></a></li> </ul> </div> </div> <div id="vector-variants-dropdown" class="vector-dropdown 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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">כלים</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-page-tools.pin">העברה לסרגל הצד</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-page-tools.unpin">הסתרה</button> </div> <div id="p-cactions" class="vector-menu mw-portlet mw-portlet-cactions emptyPortlet vector-has-collapsible-items" title="אפשרויות נוספות" > <div class="vector-menu-heading"> פעולות 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href="/w/index.php?title=%D7%9E%D7%99%D7%95%D7%97%D7%93:DownloadAsPdf&page=%D7%90%D7%A7%D7%A1%D7%A6%D7%A0%D7%98%D7%A8%D7%99%D7%95%D7%AA_%28%D7%9E%D7%AA%D7%9E%D7%98%D7%99%D7%A7%D7%94%29&action=show-download-screen"><span>הורדה כ־PDF</span></a></li><li id="t-print" class="mw-list-item"><a href="/w/index.php?title=%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)&printable=yes" title="גרסה להדפסה של הדף הזה [p]" accesskey="p"><span>גרסה להדפסה</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"> במיזמים אחרים </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="wb-otherproject-link wb-otherproject-commons mw-list-item"><a href="https://commons.wikimedia.org/wiki/Category:Eccentricity" hreflang="en"><span>ויקישיתוף</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/Q104486" title="קישור לפריט המשויך במאגר הנתונים [g]" accesskey="g"><span>פריט ויקינתונים</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="כלי דף"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="מראה"> <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">מראה</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">העברה לסרגל הצד</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">הסתרה</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">מתוך ויקיפדיה, האנציקלופדיה החופשית</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-rtl mw-parser-output" lang="he" dir="rtl"><figure class="mw-halign-left" typeof="mw:File/Thumb"><a href="/wiki/%D7%A7%D7%95%D7%91%D7%A5:Conic_sections_2n.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/5/50/Conic_sections_2n.png/250px-Conic_sections_2n.png" decoding="async" width="250" height="139" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/50/Conic_sections_2n.png/375px-Conic_sections_2n.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/5/50/Conic_sections_2n.png/500px-Conic_sections_2n.png 2x" data-file-width="1080" data-file-height="600" /></a><figcaption>חתכי חרוט</figcaption></figure> <p>ב<a href="/wiki/%D7%9E%D7%AA%D7%9E%D7%98%D7%99%D7%A7%D7%94" title="מתמטיקה">מתמטיקה</a>, <b>אקסצנטריות</b> של <a href="/wiki/%D7%97%D7%AA%D7%9B%D7%99_%D7%97%D7%A8%D7%95%D7%98" class="mw-redirect" title="חתכי חרוט">חתך חרוט</a> היא ערך מספרי המודד עד-כמה העקום רחוק מלהיות מעגל. בפרט, </p> <ul><li>האקסצנטריות של <a href="/wiki/%D7%9E%D7%A2%D7%92%D7%9C" title="מעגל">מעגל</a> היא 0.</li> <li>האקסצנטריות של <a href="/wiki/%D7%90%D7%9C%D7%99%D7%A4%D7%A1%D7%94" title="אליפסה">אליפסה</a> גדולה מ־0 וקטנה מ־1.</li> <li>האקסצנטריות של <a href="/wiki/%D7%A4%D7%A8%D7%91%D7%95%D7%9C%D7%94" title="פרבולה">פרבולה</a> היא 1.</li> <li>האקסצנטריות של <a href="/wiki/%D7%94%D7%99%D7%A4%D7%A8%D7%91%D7%95%D7%9C%D7%94" title="היפרבולה">היפרבולה</a> גדולה מ־1.</li> <li>האקסצנטריות של <a href="/wiki/%D7%A7%D7%95_%D7%99%D7%A9%D7%A8" class="mw-redirect" title="קו ישר">קו ישר</a> היא <a href="/wiki/%D7%90%D7%99%D7%A0%D7%A1%D7%95%D7%A3" title="אינסוף">אינסוף</a>.</li></ul> <p>לאקסצנטריות חשיבות גבוהה מאוד ב<a href="/w/index.php?title=%D7%9E%D7%9B%D7%A0%D7%99%D7%A7%D7%94_%D7%9E%D7%A1%D7%9C%D7%95%D7%9C%D7%99%D7%AA&action=edit&redlink=1" class="new" title="מכניקה מסלולית (הדף אינו קיים)">מכניקה מסלולית</a>, מכיוון שתנועת <a href="/wiki/%D7%92%D7%A8%D7%9D_%D7%A9%D7%9E%D7%99%D7%99%D7%9D" title="גרם שמיים">גרמי שמיים</a> סביב <a href="/wiki/%D7%94%D7%A9%D7%9E%D7%A9" title="השמש">השמש</a> היא תמיד בחתכי חרוט; לפי <a href="/wiki/%D7%97%D7%95%D7%A7%D7%99_%D7%A7%D7%A4%D7%9C%D7%A8" title="חוקי קפלר">החוק הראשון של קפלר</a> תנועה של <a href="/wiki/%D7%9B%D7%95%D7%9B%D7%91_%D7%9C%D7%9B%D7%AA" title="כוכב לכת">כוכב לכת</a> היא אליפסה שהשמש נמצאת באחד המוקדים שלה. </p><p>ב<a href="/wiki/%D7%90%D7%A1%D7%98%D7%A8%D7%95%D7%A0%D7%95%D7%9E%D7%99%D7%94" title="אסטרונומיה">אסטרונומיה</a> הוא מהווה אחד מ<a href="/wiki/%D7%90%D7%9C%D7%9E%D7%A0%D7%98%D7%99_%D7%9E%D7%A1%D7%9C%D7%95%D7%9C" title="אלמנטי מסלול">אלמנטי מסלול</a>. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="אליפסה"><span id=".D7.90.D7.9C.D7.99.D7.A4.D7.A1.D7.94"></span>אליפסה</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%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)&action=edit&section=1" title="עריכת קוד המקור של הפרק: אליפסה"><span>עריכת קוד מקור</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%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)&veaction=edit&section=1" title="עריכת פסקה: "אליפסה"" class="mw-editsection-visualeditor"><span>עריכה</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-halign-left" typeof="mw:File/Thumb"><a href="/wiki/%D7%A7%D7%95%D7%91%D7%A5:Ellipse_Eccentricity.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/3/3d/Ellipse_Eccentricity.png/350px-Ellipse_Eccentricity.png" decoding="async" width="350" height="213" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/3/3d/Ellipse_Eccentricity.png 1.5x" data-file-width="510" data-file-height="310" /></a><figcaption>אליפסה, עם סימון המוקדים, הצירים והאקסצנטריות הליניארית שלה</figcaption></figure> <p>באליפסה, מגדירים אקסצנטריות כיחס בין מרחק המוקדים (<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_{1}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>F</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle F_{1}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/100c7fbf174fe8b06eacc2a6b0bb2e1badd1c7ce" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.549ex; height:2.509ex;" alt="{\displaystyle F_{1}}"></span> ו־<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_{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>F</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle F_{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0fd17e0779153d765b40ebef91533489b87b2e37" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.549ex; height:2.509ex;" alt="{\displaystyle F_{2}}"></span>) לבין הציר הראשי, כלומר: <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \left({\frac {\overline {F_{1}F_{2}}}{\overline {AB}}}\right)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow> <mo>(</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mover> <mrow> <msub> <mi>F</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <msub> <mi>F</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mrow> <mo accent="false">¯</mo> </mover> <mover> <mrow> <mi>A</mi> <mi>B</mi> </mrow> <mo accent="false">¯</mo> </mover> </mfrac> </mrow> <mo>)</mo> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \left({\frac {\overline {F_{1}F_{2}}}{\overline {AB}}}\right)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e9e9f9d247c48cd419fb56a50bfa5910c5cef9ee" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.171ex; width:9.73ex; height:7.509ex;" alt="{\displaystyle \left({\frac {\overline {F_{1}F_{2}}}{\overline {AB}}}\right)}"></span>. </p><p>אם אורך חצי <a href="/wiki/%D7%90%D7%9C%D7%99%D7%A4%D7%A1%D7%94" title="אליפסה">הציר הראשי</a> של האליפסה הוא <i>a</i>, ואורך חצי ה<a href="/wiki/%D7%90%D7%9C%D7%99%D7%A4%D7%A1%D7%94" title="אליפסה">ציר המשני</a> שלה הוא <i>b</i>, האקסצנטריות נתונה בנוסחה: <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 e={\sqrt {1-{\frac {b^{2}}{a^{2}}}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>e</mi> <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> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle e={\sqrt {1-{\frac {b^{2}}{a^{2}}}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/84f9893df3274d3b63537988b4158ae5f4e671e7" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.005ex; width:13.629ex; height:7.509ex;" alt="{\displaystyle e={\sqrt {1-{\frac {b^{2}}{a^{2}}}}}}"></span>. </p><p>לגבי אליפסה יש מדד נוסף שנקרא <a href="/wiki/%D7%A4%D7%97%D7%99%D7%A1%D7%95%D7%AA" title="פחיסות">פחיסות</a> המוגדר כ: <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={\frac {a-b}{a}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>f</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>a</mi> <mo>−</mo> <mi>b</mi> </mrow> <mi>a</mi> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle f={\frac {a-b}{a}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/bd99e6bd63e33482860bcbf08442a8193debfb78" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:10.281ex; height:5.343ex;" alt="{\displaystyle f={\frac {a-b}{a}}}"></span>. קיים קשר פשוט בין הפחיסות לבין אקסצנטריות של אליפסה או פני שטח הספרואיד על פי נוסחת המעבר: <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=1-{\sqrt {1-e^{2}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>f</mi> <mo>=</mo> <mn>1</mn> <mo>−</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>1</mn> <mo>−</mo> <msup> <mi>e</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </msqrt> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle f=1-{\sqrt {1-e^{2}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3c1f6c8db0c5aef6edededab2293fa5214d65ae9" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:16.844ex; height:3.509ex;" alt="{\displaystyle f=1-{\sqrt {1-e^{2}}}}"></span>. </p> <div class="mw-heading mw-heading2"><h2 id="היפרבולה"><span id=".D7.94.D7.99.D7.A4.D7.A8.D7.91.D7.95.D7.9C.D7.94"></span>היפרבולה</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%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)&action=edit&section=2" title="עריכת קוד המקור של הפרק: היפרבולה"><span>עריכת קוד מקור</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%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)&veaction=edit&section=2" title="עריכת פסקה: "היפרבולה"" class="mw-editsection-visualeditor"><span>עריכה</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>אם אורך חצי <a href="/wiki/%D7%94%D7%99%D7%A4%D7%A8%D7%91%D7%95%D7%9C%D7%94" title="היפרבולה">הציר הראשי</a> של ההיפרבולה הוא <i>a</i>, ואורך חצי <a href="/wiki/%D7%94%D7%99%D7%A4%D7%A8%D7%91%D7%95%D7%9C%D7%94" title="היפרבולה">הציר המשני</a> שלה הוא <i>b</i>, האקסצנטריות נתונה בנוסחה: <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 e={\sqrt {1+{\frac {b^{2}}{a^{2}}}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>e</mi> <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> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle e={\sqrt {1+{\frac {b^{2}}{a^{2}}}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6925258c1847fdbc02e34004d0f7436afd38fc22" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.005ex; width:13.629ex; height:7.509ex;" alt="{\displaystyle e={\sqrt {1+{\frac {b^{2}}{a^{2}}}}}}"></span> . </p> <div class="mw-heading mw-heading2"><h2 id="ראו_גם"><span id=".D7.A8.D7.90.D7.95_.D7.92.D7.9D"></span>ראו גם</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%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)&action=edit&section=3" title="עריכת קוד המקור של הפרק: ראו גם"><span>עריכת קוד מקור</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%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)&veaction=edit&section=3" title="עריכת פסקה: "ראו גם"" class="mw-editsection-visualeditor"><span>עריכה</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/%D7%95%D7%A7%D7%98%D7%95%D7%A8_%D7%94%D7%90%D7%A7%D7%A1%D7%A6%D7%A0%D7%98%D7%A8%D7%99%D7%95%D7%AA" title="וקטור האקסצנטריות">וקטור האקסצנטריות</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="קישורים_חיצוניים"><span id=".D7.A7.D7.99.D7.A9.D7.95.D7.A8.D7.99.D7.9D_.D7.97.D7.99.D7.A6.D7.95.D7.A0.D7.99.D7.99.D7.9D"></span>קישורים חיצוניים</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%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)&action=edit&section=4" title="עריכת קוד המקור של הפרק: קישורים חיצוניים"><span>עריכת קוד מקור</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%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)&veaction=edit&section=4" title="עריכת פסקה: "קישורים חיצוניים"" class="mw-editsection-visualeditor"><span>עריכה</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="sisterwikilinkT"><span typeof="mw:File"><a href="https://commons.wikimedia.org/wiki/" title="ויקישיתוף"><img alt="ויקישיתוף" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/15px-Commons-logo.svg.png" decoding="async" width="15" height="20" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/23px-Commons-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/30px-Commons-logo.svg.png 2x" data-file-width="1024" data-file-height="1376" /></a></span> מדיה וקבצים בנושא <b><a href="https://commons.wikimedia.org/wiki/Category:Eccentricity" class="extiw" title="commons:Category:Eccentricity">אקסצנטריות</a></b> ב<a href="/wiki/%D7%95%D7%99%D7%A7%D7%99%D7%A9%D7%99%D7%AA%D7%95%D7%A3" title="ויקישיתוף">וויקישיתוף</a></div> <ul><li><a rel="nofollow" class="external text" href="https://mathworld.wolfram.com/Eccentricity.html">אקסצנטריות</a>, באתר <a href="/wiki/MathWorld" title="MathWorld">MathWorld</a> <span dir="rtl" class="languageicon">(באנגלית)</span><style data-mw-deduplicate="TemplateStyles:r36549940">.mw-parser-output .languageicon{font-size:0.95em;font-weight:bold;color:#555}</style></li></ul> <div role="navigation" class="navbox authority-control" aria-labelledby="בקרת_זהויות_15px&#124;link=https&#58;//www.wikidata.org/wiki/Q104486?uselang=he&#124;עריכת_הנתון_בוויקינתונים" style="padding:3px"><table class="nowraplinks hlist navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th 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