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class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-main-menu.unpin">skrij</button> </div> <div id="p-navigation" class="vector-menu mw-portlet mw-portlet-navigation" > <div class="vector-menu-heading"> Navigacija </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="n-mainpage" class="mw-list-item"><a href="/wiki/Glavna_stran" title="Obiščite glavno stran [z]" accesskey="z"><span>Glavna stran</span></a></li><li id="n-introduction" class="mw-list-item"><a href="/wiki/Pomo%C4%8D:Uvod"><span>Naučite se urejati</span></a></li><li id="n-Izbrani-članki" class="mw-list-item"><a href="/wiki/Wikipedija:Izbrani_%C4%8Dlanki"><span>Izbrani članki</span></a></li><li id="n-randompage" class="mw-list-item"><a href="/wiki/Posebno:Naklju%C4%8Dno" title="Naložite naključno stran [x]" accesskey="x"><span>Naključna stran</span></a></li><li id="n-recentchanges" class="mw-list-item"><a href="/wiki/Posebno:ZadnjeSpremembe" title="Seznam zadnjih sprememb Wikipedije [r]" accesskey="r"><span>Zadnje spremembe</span></a></li> </ul> </div> </div> <div id="p-obcestvo" class="vector-menu mw-portlet mw-portlet-obcestvo" > <div class="vector-menu-heading"> Skupnost </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="n-help" class="mw-list-item"><a href="/wiki/Pomo%C4%8D:Vsebina" title="Kraj, kjer lahko prejmete pomoč"><span>Pomoč</span></a></li><li id="n-Pod-lipo" class="mw-list-item"><a href="/wiki/Wikipedija:Pod_lipo"><span>Pod lipo</span></a></li><li id="n-portal" class="mw-list-item"><a href="/wiki/Wikipedija:Portal_skupnosti" title="O projektu, kaj lahko storite, kje lahko kaj najdete"><span>Portal skupnosti</span></a></li><li id="n-contact" class="mw-list-item"><a href="/wiki/Wikipedija:Stik_z_nami"><span>Stik z nami</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> <a href="/wiki/Glavna_stran" class="mw-logo"> <img 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aria-label="Osebna orodja"> <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="Videz"> <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="Videz" > <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">Videz</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_sl.wikipedia.org&uselang=sl" class=""><span>Denarni prispevki</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=Posebno:Registracija&returnto=Epicikloida" title="Predlagamo vam, da si ustvarite račun in se prijavite, vendar to ni obvezno." class=""><span>Ustvari račun</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=Posebno:Prijava&returnto=Epicikloida" title="Prijava je zaželena, vendar ni obvezna [o]" accesskey="o" class=""><span>Prijava</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="Več možnosti" > <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="Osebna orodja" > <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">Osebna orodja</span> </label> <div class="vector-dropdown-content"> <div id="p-personal" class="vector-menu mw-portlet mw-portlet-personal user-links-collapsible-item" title="Uporabniški meni" > <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_sl.wikipedia.org&uselang=sl"><span>Denarni prispevki</span></a></li><li id="pt-createaccount" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Posebno:Registracija&returnto=Epicikloida" title="Predlagamo vam, da si ustvarite račun in se prijavite, vendar to ni obvezno."><span class="vector-icon mw-ui-icon-userAdd mw-ui-icon-wikimedia-userAdd"></span> <span>Ustvari račun</span></a></li><li id="pt-login" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Posebno:Prijava&returnto=Epicikloida" title="Prijava je zaželena, vendar ni obvezna [o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>Prijava</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"> Strani za neprijavljene urejevalce <a href="/wiki/Pomo%C4%8D:Uvod" aria-label="Več o urejanju"><span>več o tem</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/Posebno:MojiPrispevki" title="Seznam urejanj s tega IP-naslova [y]" accesskey="y"><span>Prispevki</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/Posebno:MojPogovor" title="Pogovor o urejanjih s tega IP-naslova [n]" accesskey="n"><span>Pogovorna stran</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="Projekt"> <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="Vsebina" 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">Vsebina</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">prestavi v stransko letvico</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">skrij</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">Uvod</div> </a> </li> <li id="toc-Zgledi_različnih_epicikloid" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Zgledi_različnih_epicikloid"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Zgledi različnih epicikloid</span> </div> </a> <ul id="toc-Zgledi_različnih_epicikloid-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Povezave_z_drugimi_krivuljami" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Povezave_z_drugimi_krivuljami"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Povezave z drugimi krivuljami</span> </div> </a> <ul id="toc-Povezave_z_drugimi_krivuljami-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Glej_tudi" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Glej_tudi"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Glej tudi</span> </div> </a> <ul id="toc-Glej_tudi-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Zunanje_povezave" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Zunanje_povezave"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Zunanje povezave</span> </div> </a> <ul id="toc-Zunanje_povezave-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="Vsebina" 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="Vklopi kazalo vsebine" > <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">Vklopi kazalo vsebine</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">Epicikloida</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="P9jdi na članek v drugem jeziku. Na voljo v 39 jezikih." > <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-39" 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">39 jezikov</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/Episiklo%C3%AFed" title="Episikloïed – afrikanščina" lang="af" hreflang="af" data-title="Episikloïed" data-language-autonym="Afrikaans" data-language-local-name="afrikanščina" class="interlanguage-link-target"><span>Afrikaans</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%AF%D9%88%D9%8A%D8%B1%D9%8A_%D9%81%D9%88%D9%82%D9%8A" title="دويري فوقي – arabščina" lang="ar" hreflang="ar" data-title="دويري فوقي" data-language-autonym="العربية" data-language-local-name="arabščina" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%95%D0%BF%D0%B8%D1%86%D0%B8%D0%BA%D0%BB%D0%BE%D0%B8%D0%B4%D0%B0" title="Епициклоида – bolgarščina" lang="bg" hreflang="bg" data-title="Епициклоида" data-language-autonym="Български" data-language-local-name="bolgarščina" 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/Epicikloida" title="Epicikloida – bosanščina" lang="bs" hreflang="bs" data-title="Epicikloida" data-language-autonym="Bosanski" data-language-local-name="bosanščina" 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/Epicicloide" title="Epicicloide – katalonščina" lang="ca" hreflang="ca" data-title="Epicicloide" data-language-autonym="Català" data-language-local-name="katalonščina" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Epicykloida" title="Epicykloida – češčina" lang="cs" hreflang="cs" data-title="Epicykloida" data-language-autonym="Čeština" data-language-local-name="češčina" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Epizykloide" title="Epizykloide – nemščina" lang="de" hreflang="de" data-title="Epizykloide" data-language-autonym="Deutsch" data-language-local-name="nemščina" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Epicycloid" title="Epicycloid – angleščina" lang="en" hreflang="en" data-title="Epicycloid" data-language-autonym="English" data-language-local-name="angleščina" 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/Epicikloido" title="Epicikloido – esperanto" lang="eo" hreflang="eo" data-title="Epicikloido" 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/Epicicloide" title="Epicicloide – španščina" lang="es" hreflang="es" data-title="Epicicloide" data-language-autonym="Español" data-language-local-name="španščina" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Epizikloide" title="Epizikloide – baskovščina" lang="eu" hreflang="eu" data-title="Epizikloide" data-language-autonym="Euskara" data-language-local-name="baskovščina" 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%DA%86%D8%B1%D8%AE%E2%80%8C%D8%B2%D8%A7%D8%AF" title="برون‌چرخ‌زاد – perzijščina" lang="fa" hreflang="fa" data-title="برون‌چرخ‌زاد" data-language-autonym="فارسی" data-language-local-name="perzijščina" 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/Episykloidi" title="Episykloidi – finščina" lang="fi" hreflang="fi" data-title="Episykloidi" data-language-autonym="Suomi" data-language-local-name="finščina" 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/%C3%89picyclo%C3%AFde" title="Épicycloïde – francoščina" lang="fr" hreflang="fr" data-title="Épicycloïde" data-language-autonym="Français" data-language-local-name="francoščina" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%90%D7%A4%D7%99%D7%A6%D7%99%D7%A7%D7%9C%D7%95%D7%90%D7%99%D7%93" title="אפיציקלואיד – hebrejščina" lang="he" hreflang="he" data-title="אפיציקלואיד" data-language-autonym="עברית" data-language-local-name="hebrejščina" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Epiciklois" title="Epiciklois – madžarščina" lang="hu" hreflang="hu" data-title="Epiciklois" data-language-autonym="Magyar" data-language-local-name="madžarščina" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D5%80%D5%AB%D5%BA%D5%B8%D6%81%D5%AB%D5%AF%D5%AC%D5%B8%D5%AB%D5%A4%D5%B6%D5%A5%D6%80_%D6%87_%D5%A7%D5%BA%D5%AB%D6%81%D5%AB%D5%AF%D5%AC%D5%B8%D5%AB%D5%A4%D5%B6%D5%A5%D6%80" title="Հիպոցիկլոիդներ և էպիցիկլոիդներ – armenščina" lang="hy" hreflang="hy" data-title="Հիպոցիկլոիդներ և էպիցիկլոիդներ" data-language-autonym="Հայերեն" data-language-local-name="armenščina" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-io mw-list-item"><a href="https://io.wikipedia.org/wiki/Epicikloido" title="Epicikloido – ido" lang="io" hreflang="io" data-title="Epicikloido" data-language-autonym="Ido" data-language-local-name="ido" class="interlanguage-link-target"><span>Ido</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Epicicloide" title="Epicicloide – italijanščina" lang="it" hreflang="it" data-title="Epicicloide" data-language-autonym="Italiano" data-language-local-name="italijanščina" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E3%82%A8%E3%83%94%E3%82%B5%E3%82%A4%E3%82%AF%E3%83%AD%E3%82%A4%E3%83%89" title="エピサイクロイド – japonščina" lang="ja" hreflang="ja" data-title="エピサイクロイド" data-language-autonym="日本語" data-language-local-name="japonščina" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%AD%D0%BF%D0%B8%D1%86%D0%B8%D0%BA%D0%BB%D0%BE%D0%B8%D0%B4%D0%B0" title="Эпициклоида – kazaščina" lang="kk" hreflang="kk" data-title="Эпициклоида" data-language-autonym="Қазақша" data-language-local-name="kazaščina" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EC%97%90%ED%94%BC%EC%82%AC%EC%9D%B4%ED%81%B4%EB%A1%9C%EC%9D%B4%EB%93%9C" title="에피사이클로이드 – korejščina" lang="ko" hreflang="ko" data-title="에피사이클로이드" data-language-autonym="한국어" data-language-local-name="korejščina" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-lmo mw-list-item"><a href="https://lmo.wikipedia.org/wiki/Epicicl%C3%B2it" title="Epiciclòit – Lombard" lang="lmo" hreflang="lmo" data-title="Epiciclòit" data-language-autonym="Lombard" data-language-local-name="Lombard" class="interlanguage-link-target"><span>Lombard</span></a></li><li class="interlanguage-link interwiki-ml mw-list-item"><a href="https://ml.wikipedia.org/wiki/%E0%B4%85%E0%B4%A7%E0%B4%BF%E0%B4%9A%E0%B4%95%E0%B5%8D%E0%B4%B0%E0%B4%BE%E0%B4%AD%E0%B4%82" title="അധിചക്രാഭം – malajalamščina" lang="ml" hreflang="ml" data-title="അധിചക്രാഭം" data-language-autonym="മലയാളം" data-language-local-name="malajalamščina" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Episykloide" title="Episykloide – novonorveščina" lang="nn" hreflang="nn" data-title="Episykloide" data-language-autonym="Norsk nynorsk" data-language-local-name="novonorveščina" 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/Episykloide" title="Episykloide – knjižna norveščina" lang="nb" hreflang="nb" data-title="Episykloide" data-language-autonym="Norsk bokmål" data-language-local-name="knjižna norveščina" 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/Epicykloida" title="Epicykloida – poljščina" lang="pl" hreflang="pl" data-title="Epicykloida" data-language-autonym="Polski" data-language-local-name="poljščina" 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/Epissicl%C3%B2ida" title="Epissiclòida – Piedmontese" lang="pms" hreflang="pms" data-title="Epissiclòida" 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/Epicicloide" title="Epicicloide – portugalščina" lang="pt" hreflang="pt" data-title="Epicicloide" data-language-autonym="Português" data-language-local-name="portugalščina" 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/Epicicloid%C4%83" title="Epicicloidă – romunščina" lang="ro" hreflang="ro" data-title="Epicicloidă" data-language-autonym="Română" data-language-local-name="romunščina" 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%BF%D0%B8%D1%86%D0%B8%D0%BA%D0%BB%D0%BE%D0%B8%D0%B4%D0%B0" title="Эпициклоида – ruščina" lang="ru" hreflang="ru" data-title="Эпициклоида" data-language-autonym="Русский" data-language-local-name="ruščina" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%95%D0%BF%D0%B8%D1%86%D0%B8%D0%BA%D0%BB%D0%BE%D0%B8%D0%B4%D0%B0" title="Епициклоида – srbščina" lang="sr" hreflang="sr" data-title="Епициклоида" data-language-autonym="Српски / srpski" data-language-local-name="srbščina" 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/Epicykloid" title="Epicykloid – švedščina" lang="sv" hreflang="sv" data-title="Epicykloid" data-language-autonym="Svenska" data-language-local-name="švedščina" 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%AF%86%E0%AE%B3%E0%AE%BF%E0%AE%B5%E0%AE%9F%E0%AF%8D%E0%AE%9F%E0%AE%AA%E0%AF%8D%E0%AE%AA%E0%AF%81%E0%AE%B3%E0%AF%8D%E0%AE%B3%E0%AE%BF%E0%AE%AF%E0%AF%81%E0%AE%B0%E0%AF%81" title="வெளிவட்டப்புள்ளியுரு – tamilščina" lang="ta" hreflang="ta" data-title="வெளிவட்டப்புள்ளியுரு" data-language-autonym="தமிழ்" data-language-local-name="tamilščina" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B9%80%E0%B8%AD%E0%B8%9E%E0%B8%B4%E0%B9%84%E0%B8%8B%E0%B8%84%E0%B8%A5%E0%B8%AD%E0%B8%A2%E0%B8%94%E0%B9%8C" title="เอพิไซคลอยด์ – tajščina" lang="th" hreflang="th" data-title="เอพิไซคลอยด์" data-language-autonym="ไทย" data-language-local-name="tajščina" 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/Episikloid" title="Episikloid – turščina" lang="tr" hreflang="tr" data-title="Episikloid" data-language-autonym="Türkçe" data-language-local-name="turščina" 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%BF%D1%96%D1%86%D0%B8%D0%BA%D0%BB%D0%BE%D1%97%D0%B4%D0%B0" title="Епіциклоїда – ukrajinščina" lang="uk" hreflang="uk" data-title="Епіциклоїда" data-language-autonym="Українська" data-language-local-name="ukrajinščina" 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/Epitsikloida" title="Epitsikloida – uzbeščina" lang="uz" hreflang="uz" data-title="Epitsikloida" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="uzbeščina" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E5%A4%96%E6%91%86%E7%BA%BF" title="外摆线 – kitajščina" lang="zh" hreflang="zh" data-title="外摆线" data-language-autonym="中文" data-language-local-name="kitajščina" 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/Q214556#sitelinks-wikipedia" title="Uredi medjezikovne povezave" class="wbc-editpage">Uredi povezave</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div 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<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">Videz</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">prestavi v stransko letvico</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">skrij</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">Iz Wikipedije, proste enciklopedije</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="sl" dir="ltr"><figure class="mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/Slika:EpitrochoidOn3-generation.gif" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/a/ae/EpitrochoidOn3-generation.gif/250px-EpitrochoidOn3-generation.gif" decoding="async" width="250" height="253" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/ae/EpitrochoidOn3-generation.gif/375px-EpitrochoidOn3-generation.gif 1.5x, //upload.wikimedia.org/wikipedia/commons/a/ae/EpitrochoidOn3-generation.gif 2x" data-file-width="446" data-file-height="451" /></a><figcaption>Krivulja v rdeči barvi je epicikloida, ki nastane pri spremljanju gibanja izbrane točke na manjšem krogu s polmerom <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 r=1\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>r</mi> <mo>=</mo> <mn>1</mn> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle r=1\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/09311e77113e6f1b702c317b2a53e771133a1733" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:5.697ex; height:2.176ex;" alt="{\displaystyle r=1\,}"></span> med tem, ko se ta krog brez drsenja kotali na zunanji strani večje krožnice s polmerom <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 r=3\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>r</mi> <mo>=</mo> <mn>3</mn> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle r=3\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ceea991e298e29eeb84e0dec03650b9a674c107c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:5.697ex; height:2.176ex;" alt="{\displaystyle r=3\,}"></span>.</figcaption></figure> <p><b>Epicikloida</b> je <a href="/wiki/Ravnina" title="Ravnina">ravninska</a> <a href="/wiki/Krivulja" title="Krivulja">krivulja</a>, ki nastane pri spremljanju izbrane <a href="/wiki/To%C4%8Dka_(geometrija)" title="Točka (geometrija)">točke</a> na <a href="/wiki/Kro%C5%BEnica" title="Krožnica">krožnici</a> (imenuje se <a href="/w/index.php?title=Epicikel&action=edit&redlink=1" class="new" title="Epicikel (stran ne obstaja)">epicikel</a>), ki se brez drsenja <a href="/wiki/Vrtenje" title="Vrtenje">vrti</a> po drugi negibni krožnici. Krivulja, ki nastane, je posebni primer <a href="/wiki/Ruleta_(krivulja)" title="Ruleta (krivulja)">rulete</a>. </p><p>Če ima manjša krožnica polmer <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 r\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>r</mi> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle r\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f08ce4d4c86c5b43f36c8435fb598da6471047c6" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.436ex; height:1.676ex;" alt="{\displaystyle r\,}"></span> večja pa <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 R=kr\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>R</mi> <mo>=</mo> <mi>k</mi> <mi>r</mi> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle R=kr\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5e15a9eef1a6143bee06472c34072556d506986e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:7.509ex; height:2.176ex;" alt="{\displaystyle R=kr\,}"></span>, potem je <a href="/wiki/Parametri%C4%8Dna_ena%C4%8Dba" title="Parametrična enačba">parametrična enačba</a> epicikloide dana z: </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 x(\theta )=(R+r)\cos \theta -r\cos \left({\frac {R+r}{r}}\theta \right)\!\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>x</mi> <mo stretchy="false">(</mo> <mi>θ</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mo stretchy="false">(</mo> <mi>R</mi> <mo>+</mo> <mi>r</mi> <mo stretchy="false">)</mo> <mi>cos</mi> <mo>⁡</mo> <mi>θ</mi> <mo>−</mo> <mi>r</mi> <mi>cos</mi> <mo>⁡</mo> <mrow> <mo>(</mo> <mrow> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>R</mi> <mo>+</mo> <mi>r</mi> </mrow> <mi>r</mi> </mfrac> </mrow> <mi>θ</mi> </mrow> <mo>)</mo> </mrow> <mspace width="negativethinmathspace" /> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x(\theta )=(R+r)\cos \theta -r\cos \left({\frac {R+r}{r}}\theta \right)\!\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/889fe898d38348f544bf3b08d33fb0ba9e5e23c0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:38.154ex; height:6.176ex;" alt="{\displaystyle x(\theta )=(R+r)\cos \theta -r\cos \left({\frac {R+r}{r}}\theta \right)\!\,}"></span></dd> <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 y(\theta )=(R+r)\sin \theta -r\sin \left({\frac {R+r}{r}}\theta \right)\!\,,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>y</mi> <mo stretchy="false">(</mo> <mi>θ</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mo stretchy="false">(</mo> <mi>R</mi> <mo>+</mo> <mi>r</mi> <mo stretchy="false">)</mo> <mi>sin</mi> <mo>⁡</mo> <mi>θ</mi> <mo>−</mo> <mi>r</mi> <mi>sin</mi> <mo>⁡</mo> <mrow> <mo>(</mo> <mrow> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>R</mi> <mo>+</mo> <mi>r</mi> </mrow> <mi>r</mi> </mfrac> </mrow> <mi>θ</mi> </mrow> <mo>)</mo> </mrow> <mspace width="negativethinmathspace" /> <mspace width="thinmathspace" /> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle y(\theta )=(R+r)\sin \theta -r\sin \left({\frac {R+r}{r}}\theta \right)\!\,,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0c2eaa1f7366d6b87c6c5b5872081291771e60b1" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:38.116ex; height:6.176ex;" alt="{\displaystyle y(\theta )=(R+r)\sin \theta -r\sin \left({\frac {R+r}{r}}\theta \right)\!\,,}"></span></dd></dl> <p>ali: </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 x(\theta )=r(k+1)\cos \theta -r\cos \left((k+1)\theta \right)\!\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>x</mi> <mo stretchy="false">(</mo> <mi>θ</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mi>r</mi> <mo stretchy="false">(</mo> <mi>k</mi> <mo>+</mo> <mn>1</mn> <mo stretchy="false">)</mo> <mi>cos</mi> <mo>⁡</mo> <mi>θ</mi> <mo>−</mo> <mi>r</mi> <mi>cos</mi> <mo>⁡</mo> <mrow> <mo>(</mo> <mrow> <mo stretchy="false">(</mo> <mi>k</mi> <mo>+</mo> <mn>1</mn> <mo stretchy="false">)</mo> <mi>θ</mi> </mrow> <mo>)</mo> </mrow> <mspace width="negativethinmathspace" /> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x(\theta )=r(k+1)\cos \theta -r\cos \left((k+1)\theta \right)\!\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ac6d24c808f4b657cf83ad22d7b5223184742472" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:37.686ex; height:2.843ex;" alt="{\displaystyle x(\theta )=r(k+1)\cos \theta -r\cos \left((k+1)\theta \right)\!\,}"></span></dd> <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 y(\theta )=r(k+1)\sin \theta -r\sin \left((k+1)\theta \right)\!\,.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>y</mi> <mo stretchy="false">(</mo> <mi>θ</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mi>r</mi> <mo stretchy="false">(</mo> <mi>k</mi> <mo>+</mo> <mn>1</mn> <mo stretchy="false">)</mo> <mi>sin</mi> <mo>⁡</mo> <mi>θ</mi> <mo>−</mo> <mi>r</mi> <mi>sin</mi> <mo>⁡</mo> <mrow> <mo>(</mo> <mrow> <mo stretchy="false">(</mo> <mi>k</mi> <mo>+</mo> <mn>1</mn> <mo stretchy="false">)</mo> <mi>θ</mi> </mrow> <mo>)</mo> </mrow> <mspace width="negativethinmathspace" /> <mspace width="thinmathspace" /> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle y(\theta )=r(k+1)\sin \theta -r\sin \left((k+1)\theta \right)\!\,.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f885dd84011c338e67fd9902fbbadb34865bfa2f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:37.648ex; height:2.843ex;" alt="{\displaystyle y(\theta )=r(k+1)\sin \theta -r\sin \left((k+1)\theta \right)\!\,.}"></span></dd></dl> <ul><li>Kadar je <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 k\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>k</mi> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle k\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a5665cb00a844c1c6a671c119c6e4984d28fb851" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.598ex; height:2.176ex;" alt="{\displaystyle k\,}"></span> <a href="/wiki/Celo_%C5%A1tevilo" title="Celo število">celo število</a>, je krivulja zaprta in ima točno <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 k\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>k</mi> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle k\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a5665cb00a844c1c6a671c119c6e4984d28fb851" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.598ex; height:2.176ex;" alt="{\displaystyle k\,}"></span> ostrih kotov (oziroma toliko lokov), v katerih ni diferenciabilna.</li> <li>Če je <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 k\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>k</mi> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle k\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a5665cb00a844c1c6a671c119c6e4984d28fb851" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.598ex; height:2.176ex;" alt="{\displaystyle k\,}"></span> <a href="/wiki/Racionalno_%C5%A1tevilo" title="Racionalno število">racionalno število</a> (npr. <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 k=p/q\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>k</mi> <mo>=</mo> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <mi>q</mi> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle k=p/q\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3838db751b906adcd482086045dfee741bf60376" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:8.098ex; height:2.843ex;" alt="{\displaystyle k=p/q\,}"></span>), potem ima krivulja <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle p\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>p</mi> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle p\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e4fa5f88a712eb9b03398066a0577fdcf33e02c6" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; margin-left: -0.089ex; width:1.646ex; height:2.009ex;" alt="{\displaystyle p\,}"></span> lokov.</li> <li>Če je <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 k\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>k</mi> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle k\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a5665cb00a844c1c6a671c119c6e4984d28fb851" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.598ex; height:2.176ex;" alt="{\displaystyle k\,}"></span> <a href="/wiki/Iracionalno_%C5%A1tevilo" title="Iracionalno število">iracionalno število</a>, se krivulja nikoli ne zaključi (zapre). V tem primeru tvori <a href="/w/index.php?title=Gosta_mno%C5%BEica&action=edit&redlink=1" class="new" title="Gosta množica (stran ne obstaja)">gosto množico</a> v prostoru med večjo krožnico in krožnico s polmerom <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 R+2r\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>R</mi> <mo>+</mo> <mn>2</mn> <mi>r</mi> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle R+2r\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/524ea14ffa0f99d7bedcc2c7e0362b7cc7283141" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:7.203ex; height:2.343ex;" alt="{\displaystyle R+2r\,}"></span>.</li></ul> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Zgledi_različnih_epicikloid"><span id="Zgledi_razli.C4.8Dnih_epicikloid"></span>Zgledi različnih epicikloid</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Epicikloida&veaction=edit&section=1" title="Uredi razdelek: Zgledi različnih epicikloid" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Epicikloida&action=edit&section=1" title="Urejanje izvorne kode razdelka: Zgledi različnih epicikloid"><span>uredi kodo</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul class="gallery mw-gallery-traditional"> <li class="gallerycaption">Zgledi epickloid za različne k</li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/Slika:Epicycloid-1.svg" class="mw-file-description" title="k = 1"><img alt="k = 1" src="//upload.wikimedia.org/wikipedia/commons/thumb/a/a0/Epicycloid-1.svg/120px-Epicycloid-1.svg.png" decoding="async" width="120" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/a0/Epicycloid-1.svg/180px-Epicycloid-1.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/a0/Epicycloid-1.svg/240px-Epicycloid-1.svg.png 2x" data-file-width="340" data-file-height="340" /></a></span></div> <div class="gallerytext"> <i>k</i> = 1</div> </li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/Slika:Epicycloid-2.svg" class="mw-file-description" title="k = 2"><img alt="k = 2" src="//upload.wikimedia.org/wikipedia/commons/thumb/b/bf/Epicycloid-2.svg/120px-Epicycloid-2.svg.png" decoding="async" width="120" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/bf/Epicycloid-2.svg/180px-Epicycloid-2.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/bf/Epicycloid-2.svg/240px-Epicycloid-2.svg.png 2x" data-file-width="340" data-file-height="340" /></a></span></div> <div class="gallerytext"> <i>k</i> = 2</div> </li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/Slika:Epicycloid-3.svg" class="mw-file-description" title="k = 3"><img alt="k = 3" src="//upload.wikimedia.org/wikipedia/commons/thumb/9/96/Epicycloid-3.svg/120px-Epicycloid-3.svg.png" decoding="async" width="120" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/9/96/Epicycloid-3.svg/180px-Epicycloid-3.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/9/96/Epicycloid-3.svg/240px-Epicycloid-3.svg.png 2x" data-file-width="340" data-file-height="340" /></a></span></div> <div class="gallerytext"> <i>k</i> = 3</div> </li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/Slika:Epicycloid-4.svg" class="mw-file-description" title="k = 4"><img alt="k = 4" src="//upload.wikimedia.org/wikipedia/commons/thumb/e/e4/Epicycloid-4.svg/120px-Epicycloid-4.svg.png" decoding="async" width="120" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/e4/Epicycloid-4.svg/180px-Epicycloid-4.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/e4/Epicycloid-4.svg/240px-Epicycloid-4.svg.png 2x" data-file-width="340" data-file-height="340" /></a></span></div> <div class="gallerytext"> <i>k</i> = 4</div> </li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/Slika:Epicycloid-2-1.svg" class="mw-file-description" title="k = 2,1 = 21/10"><img alt="k = 2,1 = 21/10" src="//upload.wikimedia.org/wikipedia/commons/thumb/3/3f/Epicycloid-2-1.svg/120px-Epicycloid-2-1.svg.png" decoding="async" width="120" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/3f/Epicycloid-2-1.svg/180px-Epicycloid-2-1.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/3f/Epicycloid-2-1.svg/240px-Epicycloid-2-1.svg.png 2x" data-file-width="340" data-file-height="340" /></a></span></div> <div class="gallerytext"> <i>k</i> = 2,1 = 21/10</div> </li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/Slika:Epicycloid-3-8.svg" class="mw-file-description" title="k = 3,8 = 19/5"><img alt="k = 3,8 = 19/5" src="//upload.wikimedia.org/wikipedia/commons/thumb/8/87/Epicycloid-3-8.svg/120px-Epicycloid-3-8.svg.png" decoding="async" width="120" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/87/Epicycloid-3-8.svg/180px-Epicycloid-3-8.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/87/Epicycloid-3-8.svg/240px-Epicycloid-3-8.svg.png 2x" data-file-width="340" data-file-height="340" /></a></span></div> <div class="gallerytext"> <i>k</i> = 3,8 = 19/5</div> </li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/Slika:Epicycloid-5-5.svg" class="mw-file-description" title="k = 5,5 = 11/2"><img alt="k = 5,5 = 11/2" src="//upload.wikimedia.org/wikipedia/commons/thumb/3/3b/Epicycloid-5-5.svg/120px-Epicycloid-5-5.svg.png" decoding="async" width="120" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/3b/Epicycloid-5-5.svg/180px-Epicycloid-5-5.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/3b/Epicycloid-5-5.svg/240px-Epicycloid-5-5.svg.png 2x" data-file-width="340" data-file-height="340" /></a></span></div> <div class="gallerytext"> <i>k</i> = 5,5 = 11/2</div> </li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/Slika:Epicycloid-7-2.svg" class="mw-file-description" title="k = 7,2 = 36/5"><img alt="k = 7,2 = 36/5" src="//upload.wikimedia.org/wikipedia/commons/thumb/9/9b/Epicycloid-7-2.svg/120px-Epicycloid-7-2.svg.png" decoding="async" width="120" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/9/9b/Epicycloid-7-2.svg/180px-Epicycloid-7-2.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/9/9b/Epicycloid-7-2.svg/240px-Epicycloid-7-2.svg.png 2x" data-file-width="340" data-file-height="340" /></a></span></div> <div class="gallerytext"> <i>k</i> = 7,2 = 36/5</div> </li> </ul> <div class="mw-heading mw-heading2"><h2 id="Povezave_z_drugimi_krivuljami">Povezave z drugimi krivuljami</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Epicikloida&veaction=edit&section=2" title="Uredi razdelek: Povezave z drugimi krivuljami" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Epicikloida&action=edit&section=2" title="Urejanje izvorne kode razdelka: Povezave z drugimi krivuljami"><span>uredi kodo</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li>epicikloida je posebni primer <a href="/wiki/Epitrohoida" title="Epitrohoida">epitrohoide</a>.</li> <li>epicikloida z enim lokom se imenuje <a href="/wiki/Sr%C4%8Dnica" title="Srčnica">srčnica</a> (kardioida).</li> <li>epicikloida in njena <a href="/wiki/Evoluta" title="Evoluta">evoluta</a> sta <a href="/wiki/Podobnost" class="mw-redirect" title="Podobnost">podobni</a>.</li></ul> <div class="mw-heading mw-heading2"><h2 id="Glej_tudi">Glej tudi</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Epicikloida&veaction=edit&section=3" title="Uredi razdelek: Glej tudi" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Epicikloida&action=edit&section=3" title="Urejanje izvorne kode razdelka: Glej tudi"><span>uredi kodo</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Cikloida" title="Cikloida">cikloida</a></li> <li><a href="/wiki/Hipocikloida" title="Hipocikloida">hipocikloida</a></li> <li><a href="/wiki/Epitrohoida" title="Epitrohoida">epitrohoida</a></li> <li><a href="/wiki/Sr%C4%8Dnica" title="Srčnica">srčnica</a></li> <li><a href="/wiki/Nefroida" title="Nefroida">nefroida</a></li> <li><a href="/wiki/Seznam_krivulj" title="Seznam krivulj">seznam krivulj</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="Zunanje_povezave">Zunanje povezave</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Epicikloida&veaction=edit&section=4" title="Uredi razdelek: Zunanje povezave" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Epicikloida&action=edit&section=4" title="Urejanje izvorne kode razdelka: Zunanje povezave"><span>uredi kodo</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><span class="citation mathworld" id="Reference-Mathworld-Epicycloid"><style data-mw-deduplicate="TemplateStyles:r5980307">.mw-parser-output cite.citation{font-style:inherit;word-wrap:break-word}.mw-parser-output .citation q{quotes:"»""«""›""‹"}.mw-parser-output .citation:target{background-color:rgba(0,127,255,0.133)}.mw-parser-output .id-lock-free a,.mw-parser-output .citation .cs1-lock-free a{background:url("//upload.wikimedia.org/wikipedia/commons/6/65/Lock-green.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-limited a,.mw-parser-output .id-lock-registration a,.mw-parser-output .citation .cs1-lock-limited a,.mw-parser-output .citation .cs1-lock-registration a{background:url("//upload.wikimedia.org/wikipedia/commons/d/d6/Lock-gray-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-subscription a,.mw-parser-output .citation .cs1-lock-subscription a{background:url("//upload.wikimedia.org/wikipedia/commons/a/aa/Lock-red-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .cs1-ws-icon a{background:url("//upload.wikimedia.org/wikipedia/commons/4/4c/Wikisource-logo.svg")right 0.1em center/12px no-repeat}.mw-parser-output .cs1-code{color:inherit;background:inherit;border:none;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;color:#d33}.mw-parser-output .cs1-visible-error{color:#d33}.mw-parser-output .cs1-maint{display:none;color:#3a3;margin-left:0.3em}.mw-parser-output .cs1-format{font-size:95%}.mw-parser-output .cs1-kern-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right{padding-right:0.2em}.mw-parser-output .citation .mw-selflink{font-weight:inherit}</style><cite id="CITEREFWeisstein" class="citation web cs1"><a href="/w/index.php?title=Eric_Wolfgang_Weisstein&action=edit&redlink=1" class="new" title="Eric Wolfgang Weisstein (stran ne obstaja)">Weisstein, Eric Wolfgang</a>. <a rel="nofollow" class="external text" href="https://mathworld.wolfram.com/Epicycloid.html">»Epicycloid«</a>. <i><a href="/wiki/MathWorld" title="MathWorld">MathWorld</a></i>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=neznano&rft.jtitle=MathWorld&rft.atitle=Epicycloid&rft.au=Weisstein%2C+Eric+Wolfgang&rft_id=https%3A%2F%2Fmathworld.wolfram.com%2FEpicycloid.html&rfr_id=info%3Asid%2Fsl.wikipedia.org%3AEpicikloida" class="Z3988"></span></span></li> <li><a rel="nofollow" class="external text" href="http://online.redwoods.cc.ca.us/instruct/darnold/calcproj/sp05/astley/EpicycloidReport.htm">Različne oblike epicikloid</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20080403224223/http://online.redwoods.cc.ca.us/instruct/darnold/CalcProj/sp05/astley/EpicycloidReport.htm">Arhivirano</a> 2008-04-03 na <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a>. <span class="languageicon">(angleško)</span></li> <li><a rel="nofollow" class="external text" href="http://online.redwoods.cc.ca.us/instruct/darnold/calcproj/sp99/lindal/epicycloid.html">Epicikloida (tudi animacija)</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20110907062303/http://online.redwoods.cc.ca.us/instruct/darnold/CalcProj/Sp99/LindaL/epicycloid.html">Arhivirano</a> 2011-09-07 na <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a>. <span class="languageicon">(angleško)</span></li> <li><a rel="nofollow" class="external text" href="http://www-history.mcs.st-and.ac.uk/Curves/Epicycloid.html">Epicikloida (tudi amimacija)</a> <span class="languageicon">(angleško)</span></li> <li><a rel="nofollow" class="external text" href="http://xahlee.org/SpecialPlaneCurves_dir/EpiHypocycloid_dir/epiHypocycloid.html">Vzorci različnih epicikloid in hipocikloid</a> <span class="languageicon">(angleško)</span></li> <li><a rel="nofollow" class="external text" href="http://www.daviddarling.info/encyclopedia/E/epicycloid.html">Epicikloida v The Encyclopedia of Science</a> <span class="languageicon">(angleško)</span></li> <li><a rel="nofollow" class="external text" href="http://www.mathcurve.com/courbes2d/epicycloid/epicycloid.shtml">Epicikloida</a> <span class="languageicon">(francosko)</span></li></ul> <p><br clear="all" /> </p> <div role="navigation" class="navbox" aria-labelledby="Ravninske_krivulje" style="padding:3px"><table class="nowraplinks mw-collapsible autocollapse navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><style data-mw-deduplicate="TemplateStyles:r5911192">.mw-parser-output .navbar{display:inline;font-size:88%;font-weight:normal}.mw-parser-output .navbar-collapse{float:left;text-align:left}.mw-parser-output .navbar-boxtext{word-spacing:0}.mw-parser-output .navbar ul{display:inline-block;white-space:nowrap;line-height:inherit}.mw-parser-output .navbar-brackets::before{margin-right:-0.125em;content:"[ "}.mw-parser-output .navbar-brackets::after{margin-left:-0.125em;content:" ]"}.mw-parser-output .navbar li{word-spacing:-0.125em}.mw-parser-output .navbar a>span,.mw-parser-output .navbar a>abbr{text-decoration:inherit}.mw-parser-output .navbar-mini abbr{font-variant:small-caps;border-bottom:none;text-decoration:none;cursor:inherit}.mw-parser-output .navbar-ct-full{font-size:114%;margin:0 7em}.mw-parser-output .navbar-ct-mini{font-size:114%;margin:0 4em}</style><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-prikaži"><a href="/wiki/Predloga:Ravninske_krivulje" title="Predloga:Ravninske krivulje"><abbr title="Prikaži to predlogo" style=";;background:none transparent;color:inherit;border:none;-moz-box-shadow:none;-webkit-box-shadow:none;box-shadow:none;">p</abbr></a></li><li class="nv-pogovor"><a href="/w/index.php?title=Pogovor_o_predlogi:Ravninske_krivulje&action=edit&redlink=1" class="new" title="Pogovor o predlogi:Ravninske krivulje (stran ne obstaja)"><abbr title="Pogovor o tej predlogi" style=";;background:none transparent;color:inherit;border:none;-moz-box-shadow:none;-webkit-box-shadow:none;box-shadow:none;">p</abbr></a></li><li class="nv-uredi"><a class="external text" href="https://sl.wikipedia.org/w/index.php?title=Predloga:Ravninske_krivulje&action=edit"><abbr title="Uredi to predlogo" style=";;background:none transparent;color:inherit;border:none;-moz-box-shadow:none;-webkit-box-shadow:none;box-shadow:none;">u</abbr></a></li></ul></div><div id="Ravninske_krivulje" style="font-size:114%;margin:0 4em"><a href="/wiki/Ravnina" title="Ravnina">Ravninske</a> <a href="/wiki/Krivulja" title="Krivulja">krivulje</a></div></th></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Linearna_funkcija" title="Linearna funkcija">1. reda</a></th><td class="navbox-list navbox-odd hlist" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><a href="/wiki/Premica" title="Premica">premica</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Sto%C5%BEnica" title="Stožnica">Stožnice</a> (<a href="/wiki/Algebrska_krivulja" title="Algebrska krivulja">2. reda</a>)</th><td class="navbox-list navbox-even hlist" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><a href="/wiki/Elipsa" title="Elipsa">elipsa</a></li> <li><a href="/wiki/Kro%C5%BEnica" title="Krožnica">krožnica</a></li> <li><a href="/wiki/Hiperbola" title="Hiperbola">hiperbola</a></li> <li><a href="/wiki/Parabola" title="Parabola">parabola</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Lemniskata" title="Lemniskata">Lemniskate</a></th><td class="navbox-list navbox-odd hlist" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><a href="/wiki/Bernoullijeva_lemniskata" title="Bernoullijeva lemniskata">Bernoullijeva</a></li> <li><a href="/wiki/Hipopeda" title="Hipopeda">Boothova</a></li> <li><a href="/wiki/Cassinijev_oval" title="Cassinijev oval">Cassinijev oval</a></li> <li><a href="/wiki/Descartesov_oval" title="Descartesov oval">Descartesov oval</a></li> <li><a href="/wiki/Geronova_lemniskata" title="Geronova lemniskata">Geronova</a></li> <li><a href="/wiki/Hipopeda" title="Hipopeda">hipopeda</a></li> <li><a href="/wiki/Polinomska_lemniskata" title="Polinomska lemniskata">polinomska</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Spirala" title="Spirala">Spirale</a></th><td class="navbox-list navbox-even hlist" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><a href="/wiki/Arhimedska_spirala" title="Arhimedska spirala">arhimedske</a> <ul><li><a href="/wiki/Arhimedova_spirala" title="Arhimedova spirala">Arhimedova</a></li> <li><a href="/wiki/Fermatova_spirala" title="Fermatova spirala">parabolična</a> <ul><li><a href="/wiki/Fermatova_spirala" title="Fermatova spirala">Fermatova</a></li></ul></li> <li><a href="/wiki/Cotesova_spirala" title="Cotesova spirala">Cotesova</a></li> <li><a href="/wiki/Epispirala" title="Epispirala">epispirala</a></li> <li><a href="/wiki/Hiperboli%C4%8Dna_spirala" title="Hiperbolična spirala">hiperbolična</a></li> <li><a href="/w/index.php?title=Kvadratna_hiperboli%C4%8Dna_spirala&action=edit&redlink=1" class="new" title="Kvadratna hiperbolična spirala (stran ne obstaja)">kvadratna hiperbolična</a></li> <li><a href="/wiki/Lituus" title="Lituus">lituus</a></li></ul></li> <li><a href="/wiki/Logaritemska_spirala" title="Logaritemska spirala">enakokotna</a></li> <li><a href="/wiki/Evolventa" title="Evolventa">evolventa krožnice</a></li> <li><a href="/wiki/Galilejeva_spirala" title="Galilejeva spirala">Galilejeva</a></li> <li><a href="/wiki/Klotoida" title="Klotoida">klotoida</a></li> <li><a href="/wiki/Logaritemska_spirala" title="Logaritemska spirala">logaritemska</a></li> <li><a href="/wiki/Poinsotova_spirala" title="Poinsotova spirala">Poinsotova</a></li> <li><a href="/wiki/Sinusoidna_spirala" title="Sinusoidna spirala">sinusoidna</a> <ul><li><a href="/wiki/Cayleyjeva_sekstika" title="Cayleyjeva sekstika">Cayleyjeva sekstika</a></li></ul></li> <li><a href="/wiki/Zlata_spirala" title="Zlata spirala">zlata</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Fraktal" title="Fraktal">Fraktalne</a></th><td class="navbox-list navbox-odd hlist" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><a href="/wiki/Hilbertova_krivulja" title="Hilbertova krivulja">Hilbertova</a></li> <li><a href="/wiki/Kochova_sne%C5%BEinka" title="Kochova snežinka">Kochova snežinka</a></li> <li><a href="/w/index.php?title=L%C3%A9vyjeva_krivulja_C&action=edit&redlink=1" class="new" title="Lévyjeva krivulja C (stran ne obstaja)">Lévyjeva krivulja C</a></li> <li><a href="/w/index.php?title=Krivulja_Minkowskega&action=edit&redlink=1" class="new" title="Krivulja Minkowskega (stran ne obstaja)">Minkowskega</a></li> <li><a href="/w/index.php?title=Peanova_krivulja&action=edit&redlink=1" class="new" title="Peanova krivulja (stran ne obstaja)">Peanova</a></li> <li><a href="/w/index.php?title=Krivulja_Sierpi%C5%84skega&action=edit&redlink=1" class="new" title="Krivulja Sierpińskega (stran ne obstaja)">Sierpińskega</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/w/index.php?title=Odvojna_krivulja&action=edit&redlink=1" class="new" title="Odvojna krivulja (stran ne obstaja)">Odvojne</a></th><td class="navbox-list navbox-even hlist" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><a href="/wiki/Cikloida" title="Cikloida">cikloida</a> <ul><li><a href="/wiki/Brahistokrona" title="Brahistokrona">brahistokrona</a></li></ul></li> <li><a href="/wiki/Epitrohoida" title="Epitrohoida">epitrohoida</a> <ul><li><a href="/wiki/Pascalov_pol%C5%BE" title="Pascalov polž">Pascalov polž</a></li></ul></li> <li><a class="mw-selflink selflink">epicikloida</a></li> <li><a href="/wiki/Evoluta" title="Evoluta">evoluta</a></li> <li><a href="/wiki/Evolventa" title="Evolventa">evolventa</a> <ul><li><i><a href="/wiki/Evolventa" title="Evolventa">evolventa krožnice</a></i></li></ul></li> <li><a href="/wiki/Hipocikloida" title="Hipocikloida">hipocikloida</a> <ul><li><i><a href="/wiki/Astroida" title="Astroida">astroida</a></i></li> <li><a href="/wiki/Deltoida" title="Deltoida">deltoida</a>)</li> <li><a href="/wiki/Hipotrohoida" title="Hipotrohoida">hipotrohoida</a></li> <li><a href="/wiki/Trohoida" title="Trohoida">trohoida</a> <ul><li><i><a href="/wiki/Nefroida" title="Nefroida">nefroida</a></i> (<a href="/w/index.php?title=Freethova_nefroida&action=edit&redlink=1" class="new" title="Freethova nefroida (stran ne obstaja)">Freethova nefroida</a></li></ul></li> <li><a href="/wiki/Sr%C4%8Dnica" title="Srčnica">srčnica</a></li> <li><a href="/w/index.php?title=Sredi%C5%A1%C4%8Dna_trohoida&action=edit&redlink=1" class="new" title="Središčna trohoida (stran ne obstaja)">središčna</a></li></ul></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Ruleta_(krivulja)" title="Ruleta (krivulja)">Rulete</a></th><td class="navbox-list navbox-odd hlist" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><i><a href="/wiki/Cikloida" title="Cikloida">cikloida</a></i></li> <li><i><a class="mw-selflink selflink">epicikloida</a></i></li> <li><i><a href="/wiki/Evolventa" title="Evolventa">evolventa</a></i></li> <li><i><a href="/wiki/Hipocikloida" title="Hipocikloida">hipocikloida</a></i></li> <li><i><a href="/wiki/Trohoida" title="Trohoida">trohoida</a></i></li> <li><a href="/wiki/Veri%C5%BEnica" title="Verižnica">verižnica</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Krivulja_tretje_stopnje" title="Krivulja tretje stopnje">3. reda</a></th><td class="navbox-list navbox-even hlist" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><a href="/wiki/Agnesin_koder" title="Agnesin koder">Agnesin koder</a></li> <li><a href="/wiki/Cisoida" title="Cisoida">cisoida</a> <ul><li><a href="/wiki/Dioklesova_cisoida" title="Dioklesova cisoida">Dioklesova cisoida</a></li></ul></li> <li><a href="/wiki/De_Sluzejeva_konhoida" title="De Sluzejeva konhoida">De Sluzejeva konhoida</a></li> <li><a href="/wiki/Descartesov_list" title="Descartesov list">Descartesov list</a></li> <li><a href="/w/index.php?title=Kubi%C4%8Dna_elipsa&action=edit&redlink=1" class="new" title="Kubična elipsa (stran ne obstaja)">kubična elipsa</a></li> <li><a href="/w/index.php?title=Kubi%C4%8Dna_hiperbola&action=edit&redlink=1" class="new" title="Kubična hiperbola (stran ne obstaja)">kubična hiperbola</a></li> <li><a href="/w/index.php?title=Kubi%C4%8Dna_parabola&action=edit&redlink=1" class="new" title="Kubična parabola (stran ne obstaja)">kubična parabola</a></li> <li><a href="/w/index.php?title=Kubi%C4%8Dna_paraboli%C4%8Dna_hiperbola&action=edit&redlink=1" class="new" title="Kubična parabolična hiperbola (stran ne obstaja)">kubična parabolična hiperbola</a></li> <li><a href="/wiki/Maclaurinova_trisektrisa" title="Maclaurinova trisektrisa">Maclaurinova trisektrisa</a> <ul><li><a href="/wiki/Trisektrisa_Pascalovega_pol%C5%BEa" title="Trisektrisa Pascalovega polža">trisektrisa Pascalovega polža</a></li></ul></li> <li><a href="/wiki/Neilova_parabola" title="Neilova parabola">Neilova parabola</a></li> <li><a href="/wiki/Okljuk_(krivulja)" title="Okljuk (krivulja)">okljuk</a> <ul><li><a href="/wiki/Newtonova_serpentina" class="mw-redirect" title="Newtonova serpentina">Newtonova serpentina</a></li></ul></li> <li><a href="/wiki/Strofoida" title="Strofoida">strofoida</a></li> <li><a href="/wiki/Tschirnhausova_kubi%C4%8Dna_krivulja" title="Tschirnhausova kubična krivulja">Tschirnhausova kubična</a></li> <li><a href="/wiki/Trizob_(krivulja)" title="Trizob (krivulja)">trizob</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Krivulja_%C4%8Detrte_stopnje" title="Krivulja četrte stopnje">4. reda</a></th><td class="navbox-list navbox-odd hlist" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><a href="/wiki/Krivulja_ampersand" title="Krivulja ampersand">ampersand</a></li> <li><a href="/wiki/Dvorogeljnik_(matematika)" title="Dvorogeljnik (matematika)">dvorogeljnik</a></li> <li><a href="/wiki/Evdoksova_kampila" title="Evdoksova kampila">Evdoksova kampila</a></li> <li><a href="/wiki/Hudi%C4%8Deva_krivulja" title="Hudičeva krivulja">hudičeva</a></li> <li><a href="/wiki/Konhoida" title="Konhoida">konhoida</a> <ul><li><a href="/w/index.php?title=Nikomedova_konhoida&action=edit&redlink=1" class="new" title="Nikomedova konhoida (stran ne obstaja)">Nikomedova konhoida</a></li> <li><i><a href="/wiki/Pascalov_pol%C5%BE" title="Pascalov polž">Pascalov polž</a></i></li></ul></li> <li><a href="/w/index.php?title=Deteljica_(matematika)&action=edit&redlink=1" class="new" title="Deteljica (matematika) (stran ne obstaja)">deteljica</a> <ul><li><a href="/w/index.php?title=Dvoperesna_deteljica_(matematika)&action=edit&redlink=1" class="new" title="Dvoperesna deteljica (matematika) (stran ne obstaja)">dvoperesna</a></li> <li><a href="/w/index.php?title=Enoperesna_deteljica_(matematika)&action=edit&redlink=1" class="new" title="Enoperesna deteljica (matematika) (stran ne obstaja)">enoperesna</a></li> <li><a href="/wiki/Triperesna_deteljica_(matematika)" title="Triperesna deteljica (matematika)">triperesna</a></li></ul></li> <li><a href="/wiki/Kri%C5%BEna_krivulja" title="Križna krivulja">križna</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/w/index.php?title=Krivulja_%C5%A1este_stopnje&action=edit&redlink=1" class="new" title="Krivulja šeste stopnje (stran ne obstaja)">6. reda</a></th><td class="navbox-list navbox-even hlist" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><a href="/wiki/Astroida" title="Astroida">astroida</a></li> <li><a href="/wiki/Atriftaloida" title="Atriftaloida">atriftaloida</a></li> <li><a href="/wiki/Nefroida" title="Nefroida">nefroida</a></li> <li><a href="/wiki/%C5%A0tiriperesna_deteljica_(matematika)" title="Štiriperesna deteljica (matematika)">štiriperesna deteljica</a></li> <li><a href="/wiki/Wattova_krivulja" title="Wattova krivulja">Wattova</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Druge</th><td class="navbox-list navbox-odd hlist" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><a href="/wiki/B%C3%A9zierova_krivulja" title="Bézierova krivulja">Bézierova</a></li> <li><a href="/wiki/Fermatova_krivulja" title="Fermatova krivulja">Fermatova</a></li> <li><a href="/wiki/Gliseta" title="Gliseta">glisete</a></li> <li><a href="/wiki/Kvadratrisa" title="Kvadratrisa">kvadratrisa</a> <ul><li><a href="/wiki/Hipijeva_kvadratrisa" title="Hipijeva kvadratrisa">Hipijeva kvadratrisa</a></li></ul></li> <li><a href="/wiki/Kohleoida" title="Kohleoida">kohleoida</a></li> <li><a href="/w/index.php?title=Leibnizeva_izohrona&action=edit&redlink=1" class="new" title="Leibnizeva izohrona (stran ne obstaja)">Leibnizeva izohrona</a></li> <li><a href="/wiki/Lissajousova_krivulja" title="Lissajousova krivulja">Lissajousova</a></li> <li><a href="/wiki/Oval_(geometrija)" title="Oval (geometrija)">oval</a></li> <li><a href="/w/index.php?title=Radiodroma&action=edit&redlink=1" class="new" title="Radiodroma (stran ne obstaja)">radiodroma</a> <ul><li><a href="/wiki/Traktrisa" title="Traktrisa">traktrisa</a></li></ul></li> <li><a href="/wiki/Ribja_krivulja" title="Ribja krivulja">ribja</a></li> <li><a href="/w/index.php?title=Krivulja_s_konstantno_%C5%A1irino&action=edit&redlink=1" class="new" title="Krivulja s konstantno širino (stran ne obstaja)">s konstantno širino</a></li> <li><a href="/w/index.php?title=Sinusoida&action=edit&redlink=1" class="new" title="Sinusoida (stran ne obstaja)">sinusoida</a></li> <li><a href="/wiki/Superelipsa" title="Superelipsa">superelipsa</a></li> <li><a href="/w/index.php?title=Talbotova_krivulja&action=edit&redlink=1" class="new" title="Talbotova krivulja (stran ne obstaja)">Talbotova</a></li> <li><a href="/wiki/Trisektrisa" title="Trisektrisa">trisektrisa</a> <ul><li><a href="/w/index.php?title=Pol%C5%BEasta_trisektrisa&action=edit&redlink=1" class="new" title="Polžasta trisektrisa (stran ne obstaja)">polžasta</a></li> <li><a href="/w/index.php?title=Cevova_trisektrisa&action=edit&redlink=1" class="new" title="Cevova trisektrisa (stran ne obstaja)">Cevova</a></li> <li><i><a href="/wiki/Maclaurinova_trisektrisa" title="Maclaurinova trisektrisa">Maclaurinova</a></i></li></ul></li> <li><a href="/wiki/Vrtnica_(matematika)" title="Vrtnica (matematika)">vrtnica</a> <ul><li><i><a href="/wiki/%C5%A0tiriperesna_deteljica_(matematika)" title="Štiriperesna deteljica (matematika)">štiriperesna deteljica</a></i></li></ul></li> <li><a href="/wiki/Kro%C5%BEna_algebrska_krivulja" title="Krožna algebrska krivulja">krožna algebrska krivulja</a></li></ul> </div></td></tr><tr><td class="navbox-abovebelow" colspan="2"><div>Glej tudi: <a href="/wiki/Seznam_krivulj" title="Seznam krivulj">seznam krivulj</a></div></td></tr></tbody></table></div>    </div><noscript><img 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