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[o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>Најава</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"> Страници за одјавени уредници <a href="/wiki/%D0%9F%D0%BE%D0%BC%D0%BE%D1%88:%D0%92%D0%BE%D0%B2%D0%B5%D0%B4" aria-label="Дознајте повеќе за уредувањето"><span>дознајте повеќе</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/%D0%A1%D0%BF%D0%B5%D1%86%D0%B8%D1%98%D0%B0%D0%BB%D0%BD%D0%B0:%D0%9C%D0%BE%D0%B8%D0%9F%D1%80%D0%B8%D0%B4%D0%BE%D0%BD%D0%B5%D1%81%D0%B8" title="Список на уредувања направени од оваа IP-адреса [y]" accesskey="y"><span>Придонеси</span></a></li><li id="pt-anontalk" class="mw-list-item"><a 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Прочитајте ги правилата и вклучете се!\n\u003C/p\u003E\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E";}}());</script></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="Мрежно место"> <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="Содржина" 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">Содржина</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">премести во страничникот</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">скриј</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">Почеток</div> </a> </li> <li id="toc-Равенка_на_параболата" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Равенка_на_параболата"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Равенка на параболата</span> </div> </a> <ul id="toc-Равенка_на_параболата-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Тангента_на_парабола" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Тангента_на_парабола"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Тангента на парабола</span> </div> </a> <ul id="toc-Тангента_на_парабола-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Теме_на_парабола" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Теме_на_парабола"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Теме на парабола</span> </div> </a> <ul id="toc-Теме_на_парабола-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Поврзано" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Поврзано"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Поврзано</span> </div> </a> <ul id="toc-Поврзано-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Наводи" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Наводи"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Наводи</span> </div> </a> <ul id="toc-Наводи-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Надворешни_врски" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Надворешни_врски"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>Надворешни врски</span> </div> </a> <ul id="toc-Надворешни_врски-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="Содржина" 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="Прик./скр. содржина" > <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">Прик./скр. содржина</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">Парабола</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="Појдете на статија на друг јазик. Достапно на 87 јазици" > <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-87" 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">87 јазици</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/Parabool" title="Parabool — африканс" lang="af" hreflang="af" data-title="Parabool" data-language-autonym="Afrikaans" data-language-local-name="африканс" class="interlanguage-link-target"><span>Afrikaans</span></a></li><li class="interlanguage-link interwiki-am mw-list-item"><a href="https://am.wikipedia.org/wiki/%E1%89%A3%E1%88%8B" title="ባላ — амхарски" lang="am" hreflang="am" data-title="ባላ" data-language-autonym="አማርኛ" data-language-local-name="амхарски" class="interlanguage-link-target"><span>አማርኛ</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D9%82%D8%B7%D8%B9_%D9%85%D9%83%D8%A7%D9%81%D8%A6" title="قطع مكافئ — арапски" lang="ar" hreflang="ar" data-title="قطع مكافئ" data-language-autonym="العربية" data-language-local-name="арапски" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/Parabola" title="Parabola — азербејџански" lang="az" hreflang="az" data-title="Parabola" data-language-autonym="Azərbaycanca" data-language-local-name="азербејџански" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%AA%E0%A6%B0%E0%A6%BE%E0%A6%AC%E0%A7%83%E0%A6%A4%E0%A7%8D%E0%A6%A4" title="পরাবৃত্ত — бенгалски" lang="bn" hreflang="bn" data-title="পরাবৃত্ত" data-language-autonym="বাংলা" data-language-local-name="бенгалски" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-ba mw-list-item"><a href="https://ba.wikipedia.org/wiki/%D0%9F%D0%B0%D1%80%D0%B0%D0%B1%D0%BE%D0%BB%D0%B0" title="Парабола — башкирски" lang="ba" hreflang="ba" data-title="Парабола" data-language-autonym="Башҡортса" data-language-local-name="башкирски" class="interlanguage-link-target"><span>Башҡортса</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%9F%D0%B0%D1%80%D0%B0%D0%B1%D0%B0%D0%BB%D0%B0" title="Парабала — белоруски" lang="be" hreflang="be" data-title="Парабала" data-language-autonym="Беларуская" data-language-local-name="белоруски" 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%9F%D0%B0%D1%80%D0%B0%D0%B1%D0%B0%D0%BB%D0%B0" title="Парабала — Belarusian (Taraškievica orthography)" lang="be-tarask" hreflang="be-tarask" data-title="Парабала" data-language-autonym="Беларуская (тарашкевіца)" data-language-local-name="Belarusian (Taraškievica orthography)" class="interlanguage-link-target"><span>Беларуская (тарашкевіца)</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%9F%D0%B0%D1%80%D0%B0%D0%B1%D0%BE%D0%BB%D0%B0" title="Парабола — бугарски" lang="bg" hreflang="bg" data-title="Парабола" data-language-autonym="Български" data-language-local-name="бугарски" 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/Parabola_(matematika)" title="Parabola (matematika) — босански" lang="bs" hreflang="bs" data-title="Parabola (matematika)" data-language-autonym="Bosanski" data-language-local-name="босански" 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/Par%C3%A0bola" title="Paràbola — каталонски" lang="ca" hreflang="ca" data-title="Paràbola" data-language-autonym="Català" data-language-local-name="каталонски" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%9F%D0%B0%D1%80%D0%B0%D0%B1%D0%BE%D0%BB%D0%B0" title="Парабола — чувашки" lang="cv" hreflang="cv" data-title="Парабола" data-language-autonym="Чӑвашла" data-language-local-name="чувашки" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Parabola_(matematika)" title="Parabola (matematika) — чешки" lang="cs" hreflang="cs" data-title="Parabola (matematika)" data-language-autonym="Čeština" data-language-local-name="чешки" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-cy mw-list-item"><a href="https://cy.wikipedia.org/wiki/Parabola" title="Parabola — велшки" lang="cy" hreflang="cy" data-title="Parabola" data-language-autonym="Cymraeg" data-language-local-name="велшки" class="interlanguage-link-target"><span>Cymraeg</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Parabel" title="Parabel — дански" lang="da" hreflang="da" data-title="Parabel" data-language-autonym="Dansk" data-language-local-name="дански" 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/Parabel_(Mathematik)" title="Parabel (Mathematik) — германски" lang="de" hreflang="de" data-title="Parabel (Mathematik)" data-language-autonym="Deutsch" data-language-local-name="германски" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Parabool" title="Parabool — естонски" lang="et" hreflang="et" data-title="Parabool" data-language-autonym="Eesti" data-language-local-name="естонски" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%A0%CE%B1%CF%81%CE%B1%CE%B2%CE%BF%CE%BB%CE%AE_(%CE%B3%CE%B5%CF%89%CE%BC%CE%B5%CF%84%CF%81%CE%AF%CE%B1)" title="Παραβολή (γεωμετρία) — грчки" lang="el" hreflang="el" data-title="Παραβολή (γεωμετρία)" data-language-autonym="Ελληνικά" data-language-local-name="грчки" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Parabola" title="Parabola — англиски" lang="en" hreflang="en" data-title="Parabola" data-language-autonym="English" data-language-local-name="англиски" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Par%C3%A1bola_(matem%C3%A1tica)" title="Parábola (matemática) — шпански" lang="es" hreflang="es" data-title="Parábola (matemática)" data-language-autonym="Español" data-language-local-name="шпански" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Parabolo_(matematiko)" title="Parabolo (matematiko) — есперанто" lang="eo" hreflang="eo" data-title="Parabolo (matematiko)" data-language-autonym="Esperanto" data-language-local-name="есперанто" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Parabola_(matematika)" title="Parabola (matematika) — баскиски" lang="eu" hreflang="eu" data-title="Parabola (matematika)" data-language-autonym="Euskara" data-language-local-name="баскиски" 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%B3%D9%87%D9%85%DB%8C" title="سهمی — персиски" lang="fa" hreflang="fa" data-title="سهمی" data-language-autonym="فارسی" data-language-local-name="персиски" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fo mw-list-item"><a href="https://fo.wikipedia.org/wiki/Parabil" title="Parabil — фарски" lang="fo" hreflang="fo" data-title="Parabil" data-language-autonym="Føroyskt" data-language-local-name="фарски" class="interlanguage-link-target"><span>Føroyskt</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Parabole" title="Parabole — француски" lang="fr" hreflang="fr" data-title="Parabole" data-language-autonym="Français" data-language-local-name="француски" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://ga.wikipedia.org/wiki/Parab%C3%B3il" title="Parabóil — ирски" lang="ga" hreflang="ga" data-title="Parabóil" data-language-autonym="Gaeilge" data-language-local-name="ирски" class="interlanguage-link-target"><span>Gaeilge</span></a></li><li class="interlanguage-link interwiki-gd mw-list-item"><a href="https://gd.wikipedia.org/wiki/Parab%C3%B2la" title="Parabòla — шкотски гелски" lang="gd" hreflang="gd" data-title="Parabòla" data-language-autonym="Gàidhlig" data-language-local-name="шкотски гелски" class="interlanguage-link-target"><span>Gàidhlig</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Par%C3%A1bola_(xeometr%C3%ADa)" title="Parábola (xeometría) — галициски" lang="gl" hreflang="gl" data-title="Parábola (xeometría)" data-language-autonym="Galego" data-language-local-name="галициски" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%ED%8F%AC%EB%AC%BC%EC%84%A0" title="포물선 — корејски" lang="ko" hreflang="ko" data-title="포물선" data-language-autonym="한국어" data-language-local-name="корејски" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-haw mw-list-item"><a href="https://haw.wikipedia.org/wiki/Palapola" title="Palapola — хавајски" lang="haw" hreflang="haw" data-title="Palapola" data-language-autonym="Hawaiʻi" data-language-local-name="хавајски" class="interlanguage-link-target"><span>Hawaiʻi</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D5%8A%D5%A1%D6%80%D5%A1%D5%A2%D5%B8%D5%AC" title="Պարաբոլ — ерменски" lang="hy" hreflang="hy" data-title="Պարաբոլ" data-language-autonym="Հայերեն" data-language-local-name="ерменски" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%AA%E0%A4%B0%E0%A4%B5%E0%A4%B2%E0%A4%AF" title="परवलय — хинди" lang="hi" hreflang="hi" data-title="परवलय" data-language-autonym="हिन्दी" data-language-local-name="хинди" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Parabola" title="Parabola — хрватски" lang="hr" hreflang="hr" data-title="Parabola" data-language-autonym="Hrvatski" data-language-local-name="хрватски" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-io mw-list-item"><a href="https://io.wikipedia.org/wiki/Parabolo" title="Parabolo — идо" lang="io" hreflang="io" data-title="Parabolo" data-language-autonym="Ido" data-language-local-name="идо" class="interlanguage-link-target"><span>Ido</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Parabola" title="Parabola — индонезиски" lang="id" hreflang="id" data-title="Parabola" data-language-autonym="Bahasa Indonesia" data-language-local-name="индонезиски" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-is mw-list-item"><a href="https://is.wikipedia.org/wiki/Fleygbogi" title="Fleygbogi — исландски" lang="is" hreflang="is" data-title="Fleygbogi" data-language-autonym="Íslenska" data-language-local-name="исландски" class="interlanguage-link-target"><span>Íslenska</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Parabola_(geometria)" title="Parabola (geometria) — италијански" lang="it" hreflang="it" data-title="Parabola (geometria)" data-language-autonym="Italiano" data-language-local-name="италијански" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%A4%D7%A8%D7%91%D7%95%D7%9C%D7%94" title="פרבולה — хебрејски" lang="he" hreflang="he" data-title="פרבולה" data-language-autonym="עברית" data-language-local-name="хебрејски" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/%E1%83%9E%E1%83%90%E1%83%A0%E1%83%90%E1%83%91%E1%83%9D%E1%83%9A%E1%83%90" title="პარაბოლა — грузиски" lang="ka" hreflang="ka" data-title="პარაბოლა" data-language-autonym="ქართული" data-language-local-name="грузиски" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%9F%D0%B0%D1%80%D0%B0%D0%B1%D0%BE%D0%BB%D0%B0" title="Парабола — казашки" lang="kk" hreflang="kk" data-title="Парабола" data-language-autonym="Қазақша" data-language-local-name="казашки" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-ky mw-list-item"><a href="https://ky.wikipedia.org/wiki/%D0%9F%D0%B0%D1%80%D0%B0%D0%B1%D0%BE%D0%BB%D0%B0" title="Парабола — киргиски" lang="ky" hreflang="ky" data-title="Парабола" data-language-autonym="Кыргызча" data-language-local-name="киргиски" class="interlanguage-link-target"><span>Кыргызча</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/Parabola" title="Parabola — латински" lang="la" hreflang="la" data-title="Parabola" data-language-autonym="Latina" data-language-local-name="латински" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Parabola" title="Parabola — латвиски" lang="lv" hreflang="lv" data-title="Parabola" data-language-autonym="Latviešu" data-language-local-name="латвиски" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Parabol%C4%97" title="Parabolė — литвански" lang="lt" hreflang="lt" data-title="Parabolė" data-language-autonym="Lietuvių" data-language-local-name="литвански" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Parabola_(g%C3%B6rbe)" title="Parabola (görbe) — унгарски" lang="hu" hreflang="hu" data-title="Parabola (görbe)" data-language-autonym="Magyar" data-language-local-name="унгарски" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-ml mw-list-item"><a href="https://ml.wikipedia.org/wiki/%E0%B4%AA%E0%B4%B0%E0%B4%B5%E0%B4%B2%E0%B4%AF%E0%B4%82" title="പരവലയം — малајалски" lang="ml" hreflang="ml" data-title="പരവലയം" data-language-autonym="മലയാളം" data-language-local-name="малајалски" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-mr mw-list-item"><a href="https://mr.wikipedia.org/wiki/%E0%A4%AA%E0%A4%B0%E0%A4%B5%E0%A4%B2%E0%A4%AF" title="परवलय — марати" lang="mr" hreflang="mr" data-title="परवलय" data-language-autonym="मराठी" data-language-local-name="марати" class="interlanguage-link-target"><span>मराठी</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Parabola" title="Parabola — малајски" lang="ms" hreflang="ms" data-title="Parabola" data-language-autonym="Bahasa Melayu" data-language-local-name="малајски" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-cdo mw-list-item"><a href="https://cdo.wikipedia.org/wiki/P%C4%83u-%C5%ADk-si%C3%A1ng" title="Pău-ŭk-siáng — Mindong" lang="cdo" hreflang="cdo" data-title="Pău-ŭk-siáng" data-language-autonym="閩東語 / Mìng-dĕ̤ng-ngṳ̄" data-language-local-name="Mindong" class="interlanguage-link-target"><span>閩東語 / Mìng-dĕ̤ng-ngṳ̄</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Parabool_(wiskunde)" title="Parabool (wiskunde) — холандски" lang="nl" hreflang="nl" data-title="Parabool (wiskunde)" data-language-autonym="Nederlands" data-language-local-name="холандски" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E6%94%BE%E7%89%A9%E7%B7%9A" title="放物線 — јапонски" lang="ja" hreflang="ja" data-title="放物線" data-language-autonym="日本語" data-language-local-name="јапонски" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-frr mw-list-item"><a href="https://frr.wikipedia.org/wiki/Paraabel" title="Paraabel — севернофризиски" lang="frr" hreflang="frr" data-title="Paraabel" data-language-autonym="Nordfriisk" data-language-local-name="севернофризиски" class="interlanguage-link-target"><span>Nordfriisk</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Parabel" title="Parabel — норвешки букмол" lang="nb" hreflang="nb" data-title="Parabel" data-language-autonym="Norsk bokmål" data-language-local-name="норвешки букмол" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Parabel" title="Parabel — норвешки нинорск" lang="nn" hreflang="nn" data-title="Parabel" data-language-autonym="Norsk nynorsk" data-language-local-name="норвешки нинорск" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-oc mw-list-item"><a href="https://oc.wikipedia.org/wiki/Parab%C3%B2la" title="Parabòla — окситански" lang="oc" hreflang="oc" data-title="Parabòla" data-language-autonym="Occitan" data-language-local-name="окситански" class="interlanguage-link-target"><span>Occitan</span></a></li><li class="interlanguage-link interwiki-om mw-list-item"><a href="https://om.wikipedia.org/wiki/Baallaa" title="Baallaa — оромо" lang="om" hreflang="om" data-title="Baallaa" data-language-autonym="Oromoo" data-language-local-name="оромо" class="interlanguage-link-target"><span>Oromoo</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Parabola_(chiziq)" title="Parabola (chiziq) — узбечки" lang="uz" hreflang="uz" data-title="Parabola (chiziq)" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="узбечки" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-km mw-list-item"><a href="https://km.wikipedia.org/wiki/%E1%9E%94%E1%9F%89%E1%9E%B6%E1%9E%9A%E1%9F%89%E1%9E%B6%E1%9E%94%E1%9E%BC%E1%9E%9B" title="ប៉ារ៉ាបូល — кмерски" lang="km" hreflang="km" data-title="ប៉ារ៉ាបូល" data-language-autonym="ភាសាខ្មែរ" data-language-local-name="кмерски" class="interlanguage-link-target"><span>ភាសាខ្មែរ</span></a></li><li class="interlanguage-link interwiki-pms mw-list-item"><a href="https://pms.wikipedia.org/wiki/Par%C3%A0bola" title="Paràbola — пиемонтски" lang="pms" hreflang="pms" data-title="Paràbola" data-language-autonym="Piemontèis" data-language-local-name="пиемонтски" class="interlanguage-link-target"><span>Piemontèis</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Parabola_(matematyka)" title="Parabola (matematyka) — полски" lang="pl" hreflang="pl" data-title="Parabola (matematyka)" data-language-autonym="Polski" data-language-local-name="полски" 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/Par%C3%A1bola" title="Parábola — португалски" lang="pt" hreflang="pt" data-title="Parábola" data-language-autonym="Português" data-language-local-name="португалски" 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/Parabol%C4%83" title="Parabolă — романски" lang="ro" hreflang="ro" data-title="Parabolă" data-language-autonym="Română" data-language-local-name="романски" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-rue mw-list-item"><a href="https://rue.wikipedia.org/wiki/%D0%9F%D0%B0%D1%80%D0%B0%D0%B1%D0%BE%D0%BB%D0%B0" title="Парабола — русински" lang="rue" hreflang="rue" data-title="Парабола" data-language-autonym="Русиньскый" data-language-local-name="русински" class="interlanguage-link-target"><span>Русиньскый</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%9F%D0%B0%D1%80%D0%B0%D0%B1%D0%BE%D0%BB%D0%B0" title="Парабола — руски" lang="ru" hreflang="ru" data-title="Парабола" data-language-autonym="Русский" data-language-local-name="руски" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sa mw-list-item"><a href="https://sa.wikipedia.org/wiki/%E0%A4%AA%E0%A4%B0%E0%A4%B5%E0%A4%B2%E0%A4%AF%E0%A4%83" title="परवलयः — санскрит" lang="sa" hreflang="sa" data-title="परवलयः" data-language-autonym="संस्कृतम्" data-language-local-name="санскрит" class="interlanguage-link-target"><span>संस्कृतम्</span></a></li><li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://sq.wikipedia.org/wiki/Parabola" title="Parabola — албански" lang="sq" hreflang="sq" data-title="Parabola" data-language-autonym="Shqip" data-language-local-name="албански" class="interlanguage-link-target"><span>Shqip</span></a></li><li class="interlanguage-link interwiki-scn mw-list-item"><a href="https://scn.wikipedia.org/wiki/Par%C3%A0bbula_(matim%C3%A0tica)" title="Paràbbula (matimàtica) — сицилијански" lang="scn" hreflang="scn" data-title="Paràbbula (matimàtica)" data-language-autonym="Sicilianu" data-language-local-name="сицилијански" class="interlanguage-link-target"><span>Sicilianu</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Parabola" title="Parabola — Simple English" lang="en-simple" hreflang="en-simple" data-title="Parabola" data-language-autonym="Simple English" data-language-local-name="Simple English" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Parabola" title="Parabola — словачки" lang="sk" hreflang="sk" data-title="Parabola" data-language-autonym="Slovenčina" data-language-local-name="словачки" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Parabola" title="Parabola — словенечки" lang="sl" hreflang="sl" data-title="Parabola" data-language-autonym="Slovenščina" data-language-local-name="словенечки" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%DA%A9%DB%95%D9%88%D8%A7%D9%86%DB%95%D8%A8%DA%95" title="کەوانەبڕ — централнокурдски" lang="ckb" hreflang="ckb" data-title="کەوانەبڕ" data-language-autonym="کوردی" data-language-local-name="централнокурдски" class="interlanguage-link-target"><span>کوردی</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%9F%D0%B0%D1%80%D0%B0%D0%B1%D0%BE%D0%BB%D0%B0" title="Парабола — српски" lang="sr" hreflang="sr" data-title="Парабола" data-language-autonym="Српски / srpski" data-language-local-name="српски" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Parabola" title="Parabola — српскохрватски" lang="sh" hreflang="sh" data-title="Parabola" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="српскохрватски" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Paraabeli" title="Paraabeli — фински" lang="fi" hreflang="fi" data-title="Paraabeli" data-language-autonym="Suomi" data-language-local-name="фински" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Parabel_(kurva)" title="Parabel (kurva) — шведски" lang="sv" hreflang="sv" data-title="Parabel (kurva)" data-language-autonym="Svenska" data-language-local-name="шведски" 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%AA%E0%AE%B0%E0%AE%B5%E0%AE%B3%E0%AF%88%E0%AE%B5%E0%AF%81" title="பரவளைவு — тамилски" lang="ta" hreflang="ta" data-title="பரவளைவு" data-language-autonym="தமிழ்" data-language-local-name="тамилски" 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%9E%E0%B8%B2%E0%B8%A3%E0%B8%B2%E0%B9%82%E0%B8%9A%E0%B8%A5%E0%B8%B2" title="พาราโบลา — тајландски" lang="th" hreflang="th" data-title="พาราโบลา" data-language-autonym="ไทย" data-language-local-name="тајландски" 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/Parabol" title="Parabol — турски" lang="tr" hreflang="tr" data-title="Parabol" data-language-autonym="Türkçe" data-language-local-name="турски" 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%9F%D0%B0%D1%80%D0%B0%D0%B1%D0%BE%D0%BB%D0%B0" title="Парабола — украински" lang="uk" hreflang="uk" data-title="Парабола" data-language-autonym="Українська" data-language-local-name="украински" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/Parabol" title="Parabol — виетнамски" lang="vi" hreflang="vi" data-title="Parabol" data-language-autonym="Tiếng Việt" data-language-local-name="виетнамски" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-zh-classical mw-list-item"><a href="https://zh-classical.wikipedia.org/wiki/%E6%8B%8B%E7%89%A9%E7%B7%9A" title="拋物線 — книжевен кинески" lang="lzh" hreflang="lzh" data-title="拋物線" data-language-autonym="文言" data-language-local-name="книжевен кинески" class="interlanguage-link-target"><span>文言</span></a></li><li class="interlanguage-link interwiki-war mw-list-item"><a href="https://war.wikipedia.org/wiki/Parabola_(matematika)" title="Parabola (matematika) — варајски" lang="war" hreflang="war" data-title="Parabola (matematika)" data-language-autonym="Winaray" data-language-local-name="варајски" class="interlanguage-link-target"><span>Winaray</span></a></li><li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://wuu.wikipedia.org/wiki/%E6%8A%9B%E7%89%A9%E7%BA%BF" title="抛物线 — ву" lang="wuu" hreflang="wuu" data-title="抛物线" data-language-autonym="吴语" data-language-local-name="ву" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-yi mw-list-item"><a href="https://yi.wikipedia.org/wiki/%D7%A4%D7%90%D7%A8%D7%90%D7%91%D7%A2%D7%9C" title="פאראבעל — јидиш" lang="yi" hreflang="yi" data-title="פאראבעל" data-language-autonym="ייִדיש" data-language-local-name="јидиш" class="interlanguage-link-target"><span>ייִדיש</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E6%8B%8B%E7%89%A9%E7%B6%AB" title="拋物綫 — кантонски" lang="yue" hreflang="yue" data-title="拋物綫" data-language-autonym="粵語" data-language-local-name="кантонски" class="interlanguage-link-target"><span>粵語</span></a></li><li class="interlanguage-link interwiki-diq mw-list-item"><a href="https://diq.wikipedia.org/wiki/Parabol" title="Parabol — Zazaki" lang="diq" hreflang="diq" data-title="Parabol" data-language-autonym="Zazaki" data-language-local-name="Zazaki" class="interlanguage-link-target"><span>Zazaki</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E6%8A%9B%E7%89%A9%E7%BA%BF" title="抛物线 — кинески" lang="zh" hreflang="zh" data-title="抛物线" data-language-autonym="中文" data-language-local-name="кинески" 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/Q48297#sitelinks-wikipedia" title="Уредување на меѓујазични врски" class="wbc-editpage">Уреди врски</a></span></div> </div> </div> </div> </header> <div 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<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:Parabolas" hreflang="en"><span>Ризница</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/Q48297" title="Врска до поврзаниот предмет во складиштето за податоци [g]" accesskey="g"><span>Предмет на Википодатоци</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="Алатки за страници"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="Изглед"> <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">Изглед</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">премести во страничникот</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">скриј</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">Од Википедија — слободната енциклопедија</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="mk" dir="ltr"><dl><dd><i>За стилската фигура, погледајте ја <a href="/wiki/%D0%9F%D0%B0%D1%80%D0%B0%D0%B1%D0%BE%D0%BB%D0%B0_(%D0%BA%D0%BD%D0%B8%D0%B6%D0%B5%D0%B2%D0%BD%D0%BE%D1%81%D1%82)" title="Парабола (книжевност)">Парабола (книжевност)</a></i></dd></dl> <figure typeof="mw:File/Thumb"><a href="/wiki/%D0%9F%D0%BE%D0%B4%D0%B0%D1%82%D0%BE%D1%82%D0%B5%D0%BA%D0%B0:Conicas2.PNG" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/f/f1/Conicas2.PNG/270px-Conicas2.PNG" decoding="async" width="270" height="270" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/f/f1/Conicas2.PNG 1.5x" data-file-width="300" data-file-height="300" /></a><figcaption>Параболата е крива која настанува на пресекот меѓу конус и рамнина</figcaption></figure> <figure typeof="mw:File/Thumb"><a href="/wiki/%D0%9F%D0%BE%D0%B4%D0%B0%D1%82%D0%BE%D1%82%D0%B5%D0%BA%D0%B0:Qfunction.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/7/70/Qfunction.png/270px-Qfunction.png" decoding="async" width="270" height="172" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/70/Qfunction.png/405px-Qfunction.png 1.5x, //upload.wikimedia.org/wikipedia/commons/7/70/Qfunction.png 2x" data-file-width="500" data-file-height="319" /></a><figcaption>Парабола чие теме е во почетокот на координатниот систем</figcaption></figure> <figure typeof="mw:File/Thumb"><a href="/wiki/%D0%9F%D0%BE%D0%B4%D0%B0%D1%82%D0%BE%D1%82%D0%B5%D0%BA%D0%B0:ParabolicWaterTrajectory.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4e/ParabolicWaterTrajectory.jpg/270px-ParabolicWaterTrajectory.jpg" decoding="async" width="270" height="360" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4e/ParabolicWaterTrajectory.jpg/405px-ParabolicWaterTrajectory.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4e/ParabolicWaterTrajectory.jpg/540px-ParabolicWaterTrajectory.jpg 2x" data-file-width="1536" data-file-height="2048" /></a><figcaption>Параболична патека на млаз вода</figcaption></figure> <p><b>Парабола</b> – вид <a href="/wiki/%D0%9A%D1%80%D0%B8%D0%B2%D0%B0" title="Крива">крива</a> линија добиена со сечење на обвивката и <a href="/wiki/%D0%9E%D1%81%D0%BD%D0%BE%D0%B2%D0%B0_(%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%98%D0%B0)" title="Основа (геометрија)">основата</a> на <a href="/wiki/%D0%9A%D0%BE%D0%BD%D1%83%D1%81" title="Конус">конус</a> со <a href="/wiki/%D0%A0%D0%B0%D0%BC%D0%BD%D0%B8%D0%BD%D0%B0_(%D0%BC%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0)" title="Рамнина (математика)">рамнина</a>.<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> Параболата се дефинира и како множество точки во рамнина кои се еднакво оддалечени од дадена <a href="/wiki/%D0%A2%D0%BE%D1%87%D0%BA%D0%B0_(%D0%BC%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0)" class="mw-redirect" title="Точка (математика)">точка</a> (жариште или фокус) и дадена <a href="/wiki/%D0%9F%D1%80%D0%B0%D0%B2%D0%B0_(%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%98%D0%B0)" title="Права (геометрија)">права</a> (директриса). </p><p>Линијата нормална на директрисата која минува низ фокусот се нарекува „оска на симетрија“. Точката на параболата која е пресечна точка со оската на симетрија се нарекува „теме“ и тоа точката каде параболата е најискривена. Растојанието меѓу темето и фокусот измерено по оската на симетрија се нарекува „фокусно растојание“. Сите параболи се геометриски слични. </p><p>Параболите имаат својство што, доколку се изработени од материјал што ја <a href="/wiki/%D0%A0%D0%B5%D1%84%D0%BB%D0%B5%D0%BA%D1%81%D0%B8%D1%98%D0%B0" class="mw-redirect" title="Рефлексија">рефлектира</a> <a href="/wiki/%D0%A1%D0%B2%D0%B5%D1%82%D0%BB%D0%B8%D0%BD%D0%B0" title="Светлина">светлината</a>, тогаш светлинските зраци се паралелни со оската на симетрија на параболата, ја погодуваат неговата конкавна страна и се рефлектираат во неговиот фокус, без оглед од кој дел од параболата се одбиваат. Спротивно на тоа, светлината што потекнува од точка на извор во фокусот на параболата, се рефлектира во паралелен сноп, и ја напушта параболата паралелно со оската на симетријата. Истите ефекти се јавуваат со <a href="/wiki/%D0%97%D0%B2%D1%83%D0%BA" title="Звук">звукот</a> и други облици на <a href="/wiki/%D0%95%D0%BD%D0%B5%D1%80%D0%B3%D0%B8%D1%98%D0%B0" title="Енергија">енергија</a>. Ова својство на рефлексија е основа на многу практични употреби на параболите. </p><p>Параболата има многу важни апликации, од <a href="/wiki/%D0%9F%D0%B0%D1%80%D0%B0%D0%B1%D0%BE%D0%BB%D0%B8%D1%87%D0%BD%D0%B0_%D0%B0%D0%BD%D1%82%D0%B5%D0%BD%D0%B0" title="Параболична антена">параболична антена</a> или параболичен <a href="/wiki/%D0%9C%D0%B8%D0%BA%D1%80%D0%BE%D1%84%D0%BE%D0%BD" title="Микрофон">микрофон</a> до автомобилски рефлектори на <a href="/w/index.php?title=%D0%A4%D0%B0%D1%80_(%D0%B0%D0%B2%D1%82%D0%BE%D0%BC%D0%BE%D0%B1%D0%B8%D0%BB)&action=edit&redlink=1" class="new" title="Фар (автомобил) (страницата не постои)">фаровите</a>, до дизајн за <a href="/w/index.php?title=%D0%91%D0%B0%D0%BB%D0%B8%D1%81%D1%82%D0%B8%D1%87%D0%BA%D0%B0_%D1%80%D0%B0%D0%BA%D0%B5%D1%82%D0%B0&action=edit&redlink=1" class="new" title="Балистичка ракета (страницата не постои)">балистички ракети</a>. Тие често се користат во <a href="/wiki/%D0%A4%D0%B8%D0%B7%D0%B8%D0%BA%D0%B0" title="Физика">физиката</a>, <a href="/wiki/%D0%98%D0%BD%D0%B6%D0%B5%D0%BD%D0%B5%D1%80%D1%81%D1%82%D0%B2%D0%BE" title="Инженерство">инженерството</a> и во многу други области. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Равенка_на_параболата"><span id=".D0.A0.D0.B0.D0.B2.D0.B5.D0.BD.D0.BA.D0.B0_.D0.BD.D0.B0_.D0.BF.D0.B0.D1.80.D0.B0.D0.B1.D0.BE.D0.BB.D0.B0.D1.82.D0.B0"></span>Равенка на параболата</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%9F%D0%B0%D1%80%D0%B0%D0%B1%D0%BE%D0%BB%D0%B0&veaction=edit&section=1" title="Уреди го одделот „Равенка на параболата“" class="mw-editsection-visualeditor"><span>уреди</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%9F%D0%B0%D1%80%D0%B0%D0%B1%D0%BE%D0%BB%D0%B0&action=edit&section=1" title="Уреди изворен код на одделот: Равенка на параболата"><span>уреди извор</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Ако директрисата на параболата <i>r</i> е еднаква на <a href="/w/index.php?title=%D0%90%D0%BF%D1%81%D1%86%D0%B8%D1%81%D0%B0&action=edit&redlink=1" class="new" title="Апсциса (страницата не постои)">апсцисата</a>, нејзината <a href="/wiki/%D0%A0%D0%B0%D0%B2%D0%B5%D0%BD%D0%BA%D0%B0" title="Равенка">равенка</a> е <i>x</i> = -<i>p</i>/2, каде <i>p</i> е полупараметар на параболата, <a href="/w/index.php?title=%D0%A2%D0%B5%D0%BC%D0%B5_(%D0%BC%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0)&action=edit&redlink=1" class="new" title="Теме (математика) (страницата не постои)">темето</a> на параболата е во координатниот почеток, а <a href="/w/index.php?title=%D0%96%D0%B0%D1%80%D0%B8%D1%88%D1%82%D0%B5_(%D0%BC%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0)&action=edit&redlink=1" class="new" title="Жариште (математика) (страницата не постои)">жариштето</a> на параболата <i>F</i> е во (<i>p</i>/2,0), тогаш равенката има облик </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 y^{2}=2px\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>=</mo> <mn>2</mn> <mi>p</mi> <mi>x</mi> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle y^{2}=2px\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/629f79bb643767fe84990af1eb9a281f9f9c93d7" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:9.362ex; height:3.009ex;" alt="{\displaystyle y^{2}=2px\,}"></span></dd></dl> <p>која претставува темена равенка на парабола. Ако параболата е осносиметрична во однос на <a href="/w/index.php?title=%D0%9E%D1%80%D0%B4%D0%B8%D0%BD%D0%B0%D1%82%D0%B0&action=edit&redlink=1" class="new" title="Ордината (страницата не постои)">ординатата</a> (<i>y</i>-оска) на координатниот систем, тогаш нејзината равенка е: </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^{2}=2py\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>=</mo> <mn>2</mn> <mi>p</mi> <mi>y</mi> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x^{2}=2py\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4fbec0dbab957063b4d5847d2d26b4de0dc0febc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:9.357ex; height:3.009ex;" alt="{\displaystyle x^{2}=2py\,}"></span>.</dd></dl> <div class="mw-heading mw-heading2"><h2 id="Тангента_на_парабола"><span id=".D0.A2.D0.B0.D0.BD.D0.B3.D0.B5.D0.BD.D1.82.D0.B0_.D0.BD.D0.B0_.D0.BF.D0.B0.D1.80.D0.B0.D0.B1.D0.BE.D0.BB.D0.B0"></span>Тангента на парабола</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%9F%D0%B0%D1%80%D0%B0%D0%B1%D0%BE%D0%BB%D0%B0&veaction=edit&section=2" title="Уреди го одделот „Тангента на парабола“" class="mw-editsection-visualeditor"><span>уреди</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%9F%D0%B0%D1%80%D0%B0%D0%B1%D0%BE%D0%BB%D0%B0&action=edit&section=2" title="Уреди изворен код на одделот: Тангента на парабола"><span>уреди извор</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><a href="/wiki/%D0%A2%D0%B0%D0%BD%D0%B3%D0%B5%D0%BD%D1%82%D0%B0" class="mw-redirect" title="Тангента">Тангентата</a> на парабола чие теме е во координатниот почеток и која поминува низ точката <i>T</i> <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_{0},y_{0})}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">(</mo> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> <mo>,</mo> <msub> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle (x_{0},y_{0})}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/29c296094af9a1c665425debeac5eaab99a37a04" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:7.421ex; height:2.843ex;" alt="{\displaystyle (x_{0},y_{0})}"></span> на параболата, одредена е со координатите на точката <i>T</i> и коефициентот на правецот на тангентата. Со диференцирање на соодветната равенка на параболата се добива: </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 2ydy=2pdx\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>2</mn> <mi>y</mi> <mi>d</mi> <mi>y</mi> <mo>=</mo> <mn>2</mn> <mi>p</mi> <mi>d</mi> <mi>x</mi> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 2ydy=2pdx\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a2611d714be0666c3c0216231991377aea410700" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:13.052ex; height:2.509ex;" alt="{\displaystyle 2ydy=2pdx\,}"></span></dd></dl> <p>од каде следи: </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 y'={\frac {dy}{dx}}=\tan \alpha \,={\frac {p}{y}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>y</mi> <mo>′</mo> </msup> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>d</mi> <mi>y</mi> </mrow> <mrow> <mi>d</mi> <mi>x</mi> </mrow> </mfrac> </mrow> <mo>=</mo> <mi>tan</mi> <mo>⁡</mo> <mi>α</mi> <mspace width="thinmathspace" /> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>p</mi> <mi>y</mi> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle y'={\frac {dy}{dx}}=\tan \alpha \,={\frac {p}{y}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e0bf541196991ad34fc3dabcd6216b4cf457ba93" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:22.149ex; height:5.843ex;" alt="{\displaystyle y'={\frac {dy}{dx}}=\tan \alpha \,={\frac {p}{y}}}"></span></dd></dl> <p>односно дека равенката на тангентата на параболата е </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 y-y_{0}={\frac {p}{y}}(x-x_{0})\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>y</mi> <mo>−</mo> <msub> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>p</mi> <mi>y</mi> </mfrac> </mrow> <mo stretchy="false">(</mo> <mi>x</mi> <mo>−</mo> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> <mo stretchy="false">)</mo> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle y-y_{0}={\frac {p}{y}}(x-x_{0})\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e49f3fb2602510aaa2f2d7b06b69b4e1ca38e3cc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:20.044ex; height:5.343ex;" alt="{\displaystyle y-y_{0}={\frac {p}{y}}(x-x_{0})\,}"></span>.</dd></dl> <p>Ако параболата е оскосиметрична во однос на ординатата (<i>y</i>-оска) на координатниот систем, тогаш со диференцирање на соодветната равенка на параболата следи </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 2xdx=2pdy\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>2</mn> <mi>x</mi> <mi>d</mi> <mi>x</mi> <mo>=</mo> <mn>2</mn> <mi>p</mi> <mi>d</mi> <mi>y</mi> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 2xdx=2pdy\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/07e586f80c1a02dec60a1ea8cb70e7ff9363802a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:13.226ex; height:2.509ex;" alt="{\displaystyle 2xdx=2pdy\,}"></span></dd></dl> <p>од каде понатаму следи </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 y'={\frac {dy}{dx}}=\tan \alpha ={\frac {x}{p}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>y</mi> <mo>′</mo> </msup> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>d</mi> <mi>y</mi> </mrow> <mrow> <mi>d</mi> <mi>x</mi> </mrow> </mfrac> </mrow> <mo>=</mo> <mi>tan</mi> <mo>⁡</mo> <mi>α</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>x</mi> <mi>p</mi> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle y'={\frac {dy}{dx}}=\tan \alpha ={\frac {x}{p}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a938c38acc50447bb10fa26f5efe80a46d054bef" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:21.922ex; height:5.843ex;" alt="{\displaystyle y'={\frac {dy}{dx}}=\tan \alpha ={\frac {x}{p}}}"></span></dd></dl> <p>односно дека равенката на тангентата на параболата е </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 y-y_{0}={\frac {x}{p}}(x-x_{0})\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>y</mi> <mo>−</mo> <msub> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>x</mi> <mi>p</mi> </mfrac> </mrow> <mo stretchy="false">(</mo> <mi>x</mi> <mo>−</mo> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> <mo stretchy="false">)</mo> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle y-y_{0}={\frac {x}{p}}(x-x_{0})\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/987fab499c09cb51dca9943e24becda4f560b70f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:20.204ex; height:5.176ex;" alt="{\displaystyle y-y_{0}={\frac {x}{p}}(x-x_{0})\,}"></span>.</dd></dl> <div class="mw-heading mw-heading2"><h2 id="Теме_на_парабола"><span id=".D0.A2.D0.B5.D0.BC.D0.B5_.D0.BD.D0.B0_.D0.BF.D0.B0.D1.80.D0.B0.D0.B1.D0.BE.D0.BB.D0.B0"></span>Теме на парабола</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%9F%D0%B0%D1%80%D0%B0%D0%B1%D0%BE%D0%BB%D0%B0&veaction=edit&section=3" title="Уреди го одделот „Теме на парабола“" class="mw-editsection-visualeditor"><span>уреди</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%9F%D0%B0%D1%80%D0%B0%D0%B1%D0%BE%D0%BB%D0%B0&action=edit&section=3" title="Уреди изворен код на одделот: Теме на парабола"><span>уреди извор</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Нека <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_{1}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x_{1}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a8788bf85d532fa88d1fb25eff6ae382a601c308" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.384ex; height:2.009ex;" alt="{\displaystyle x_{1}}"></span> и <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_{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x_{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d7af1b928f06e4c7e3e8ebfd60704656719bd766" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.384ex; height:2.009ex;" alt="{\displaystyle x_{2}}"></span> се точки на параболата која е дадена со равенката <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=ax^{2}+bx+c}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>y</mi> <mo>=</mo> <mi>a</mi> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <mi>b</mi> <mi>x</mi> <mo>+</mo> <mi>c</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle y=ax^{2}+bx+c}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/cf8a55c26ab89b7ed1b9b7dba43e446364e96022" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:16.883ex; height:3.009ex;" alt="{\displaystyle y=ax^{2}+bx+c}"></span> еднакво оддалечени од нејзиното теме, и нека е, без намалување на општоста, <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_{1}<x_{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo><</mo> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x_{1}<x_{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ab5be810f318d1d4a506c86442106aab197a8d02" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:7.866ex; height:2.176ex;" alt="{\displaystyle x_{1}<x_{2}}"></span>. Тогаш апсцисата на темето <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_{0}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x_{0}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/86f21d0e31751534cd6584264ecf864a6aa792cf" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.384ex; height:2.009ex;" alt="{\displaystyle x_{0}}"></span>, се наоѓа на правата која поминува низ средината на интервалот <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_{1},x_{2}]}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">[</mo> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>,</mo> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo stretchy="false">]</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle [x_{1},x_{2}]}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/91bdff343d848c2b70c68b5c04a2479b14a9fef0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:7.095ex; height:2.843ex;" alt="{\displaystyle [x_{1},x_{2}]}"></span>, т.е. <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_{0}={\frac {x_{1}+x_{2}}{2}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>+</mo> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mrow> <mn>2</mn> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x_{0}={\frac {x_{1}+x_{2}}{2}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1ffa035af64305baeca9510130343e3d17009903" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:13.927ex; height:5.009ex;" alt="{\displaystyle x_{0}={\frac {x_{1}+x_{2}}{2}}}"></span>, односно користејќи ги <a href="/wiki/%D0%A4%D1%80%D0%B0%D0%BD%D1%81%D0%BE%D0%B0_%D0%92%D0%B8%D0%B5%D1%82" title="Франсоа Виет">Виетови формули</a> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle x_{0}=-{\frac {b}{2a}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> <mo>=</mo> <mo>−</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>b</mi> <mrow> <mn>2</mn> <mi>a</mi> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x_{0}=-{\frac {b}{2a}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/953740c3ecdcdd7a385831b3609ea3609531c440" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:10.519ex; height:5.343ex;" alt="{\displaystyle x_{0}=-{\frac {b}{2a}}}"></span>. </p><p>Како ординатата на темето зависи од <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_{0}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x_{0}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/86f21d0e31751534cd6584264ecf864a6aa792cf" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.384ex; height:2.009ex;" alt="{\displaystyle x_{0}}"></span>, со вклучување во равенката на дадената парабола се добива <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_{0}={\frac {4ac-b^{2}}{4a}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mn>4</mn> <mi>a</mi> <mi>c</mi> <mo>−</mo> <msup> <mi>b</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> <mrow> <mn>4</mn> <mi>a</mi> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle y_{0}={\frac {4ac-b^{2}}{4a}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/52206514d4dced63991a2bf384ff27eb2e333e9e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:14.419ex; height:5.676ex;" alt="{\displaystyle y_{0}={\frac {4ac-b^{2}}{4a}}}"></span>. </p><p>Според тоа, координатите на темето на секоја парабола се <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle T({\frac {-b}{2a}},{\frac {4ac-b^{2}}{4a}})}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>T</mi> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mo>−</mo> <mi>b</mi> </mrow> <mrow> <mn>2</mn> <mi>a</mi> </mrow> </mfrac> </mrow> <mo>,</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mn>4</mn> <mi>a</mi> <mi>c</mi> <mo>−</mo> <msup> <mi>b</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> <mrow> <mn>4</mn> <mi>a</mi> </mrow> </mfrac> </mrow> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle T({\frac {-b}{2a}},{\frac {4ac-b^{2}}{4a}})}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/49f313e36f056970b42831a006c78d877c7a1dda" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:17.249ex; height:5.676ex;" alt="{\displaystyle T({\frac {-b}{2a}},{\frac {4ac-b^{2}}{4a}})}"></span>. </p> <div class="mw-heading mw-heading2"><h2 id="Поврзано"><span id=".D0.9F.D0.BE.D0.B2.D1.80.D0.B7.D0.B0.D0.BD.D0.BE"></span>Поврзано</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%9F%D0%B0%D1%80%D0%B0%D0%B1%D0%BE%D0%BB%D0%B0&veaction=edit&section=4" title="Уреди го одделот „Поврзано“" class="mw-editsection-visualeditor"><span>уреди</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%9F%D0%B0%D1%80%D0%B0%D0%B1%D0%BE%D0%BB%D0%B0&action=edit&section=4" title="Уреди изворен код на одделот: Поврзано"><span>уреди извор</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/%D0%9A%D0%BE%D0%BD%D1%83%D1%81%D0%B5%D0%BD_%D0%BF%D1%80%D0%B5%D1%81%D0%B5%D0%BA" title="Конусен пресек">Конусен пресек</a></li> <li><a href="/wiki/%D0%95%D0%BB%D0%B8%D0%BF%D1%81%D0%B0" title="Елипса">Елипса</a></li> <li><a href="/wiki/%D0%A5%D0%B8%D0%BF%D0%B5%D1%80%D0%B1%D0%BE%D0%BB%D0%B0" title="Хипербола">Хипербола</a></li> <li><a href="/wiki/%D0%9A%D1%80%D1%83%D0%B6%D0%BD%D0%B8%D1%86%D0%B0" title="Кружница">Кружница</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="Наводи"><span id=".D0.9D.D0.B0.D0.B2.D0.BE.D0.B4.D0.B8"></span>Наводи</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%9F%D0%B0%D1%80%D0%B0%D0%B1%D0%BE%D0%BB%D0%B0&veaction=edit&section=5" title="Уреди го одделот „Наводи“" class="mw-editsection-visualeditor"><span>уреди</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%9F%D0%B0%D1%80%D0%B0%D0%B1%D0%BE%D0%BB%D0%B0&action=edit&section=5" title="Уреди изворен код на одделот: Наводи"><span>уреди извор</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="reflist" style="list-style-type: decimal;"> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><a href="#cite_ref-1">↑</a></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://drmj.eu//search/парабола">„парабола“</a> — <a href="/wiki/%D0%94%D0%B8%D0%B3%D0%B8%D1%82%D0%B0%D0%BB%D0%B5%D0%BD_%D1%80%D0%B5%D1%87%D0%BD%D0%B8%D0%BA_%D0%BD%D0%B0_%D0%BC%D0%B0%D0%BA%D0%B5%D0%B4%D0%BE%D0%BD%D1%81%D0%BA%D0%B8%D0%BE%D1%82_%D1%98%D0%B0%D0%B7%D0%B8%D0%BA" title="Дигитален речник на македонскиот јазик">Дигитален речник на македонскиот јазик</a></span> </li> </ol></div></div> <div class="mw-heading mw-heading2"><h2 id="Надворешни_врски"><span id=".D0.9D.D0.B0.D0.B4.D0.B2.D0.BE.D1.80.D0.B5.D1.88.D0.BD.D0.B8_.D0.B2.D1.80.D1.81.D0.BA.D0.B8"></span>Надворешни врски</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%9F%D0%B0%D1%80%D0%B0%D0%B1%D0%BE%D0%BB%D0%B0&veaction=edit&section=6" title="Уреди го одделот „Надворешни врски“" class="mw-editsection-visualeditor"><span>уреди</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%9F%D0%B0%D1%80%D0%B0%D0%B1%D0%BE%D0%BB%D0%B0&action=edit&section=6" title="Уреди изворен код на одделот: Надворешни врски"><span>уреди извор</span></a><span class="mw-editsection-bracket">]</span></span></div> <table role="presentation" class="mbox-small plainlinks sistersitebox" style="background-color:var(--background-color-neutral-subtle, #f8f9fa);border:1px solid var(--border-color-base, #a2a9b1);color:inherit"> <tbody><tr> <td class="mbox-image"><span typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/30px-Commons-logo.svg.png" decoding="async" width="30" height="40" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/45px-Commons-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/59px-Commons-logo.svg.png 2x" data-file-width="1024" data-file-height="1376" /></span></span></td> <td class="mbox-text plainlist">„<span class="plainlinks"><a class="external text" href="https://commons.wikimedia.org/wiki/Category:Parabolas?uselang=mk">Парабола</a>“ на Ризницата <sup><a href="/wiki/%D0%A0%D0%B8%D0%B7%D0%BD%D0%B8%D1%86%D0%B0_(%D0%92%D0%B8%D0%BA%D0%B8%D0%BC%D0%B5%D0%B4%D0%B8%D1%98%D0%B0)" title="Ризница (Викимедија)">?</a></sup></span></td></tr></tbody></table> <table role="presentation" class="mbox-small plainlinks sistersitebox" style="background-color:var(--background-color-neutral-subtle, #f8f9fa);border:1px solid var(--border-color-base, #a2a9b1);color:inherit"> <tbody><tr> <td class="mbox-image"><span typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4c/Wikisource-logo.svg/38px-Wikisource-logo.svg.png" decoding="async" width="38" height="40" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4c/Wikisource-logo.svg/57px-Wikisource-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4c/Wikisource-logo.svg/76px-Wikisource-logo.svg.png 2x" data-file-width="410" data-file-height="430" /></span></span></td> <td class="mbox-text plainlist"><a href="/wiki/%D0%95%D0%BD%D1%86%D0%B8%D0%BA%D0%BB%D0%BE%D0%BF%D0%B5%D0%B4%D0%B8%D1%98%D0%B0_%D0%91%D1%80%D0%B8%D1%82%D0%B0%D0%BD%D0%B8%D0%BA%D0%B0" title="Енциклопедија Британика">Енциклопедијата Британика 1911</a> на <a href="/wiki/%D0%92%D0%B8%D0%BA%D0%B8%D0%B8%D0%B7%D0%B2%D0%BE%D1%80" title="Викиизвор">Викиизворот</a> има текст поврзан со „<b><a href="https://en.wikisource.org/wiki/1911_Encyclop%C3%A6dia_Britannica/Parabola" class="extiw" title="wikisource:1911 Encyclopædia Britannica/Parabola">Parabola</a></b>“.</td></tr></tbody></table> <ul><li><cite id="CITEREFХацевинкел2001" class="citation">Хацевинкел, Михил, уред. (2001), <a rel="nofollow" class="external text" href="http://eom.springer.de/p/p071150.htm">„Parabola“</a>, <i><a href="/w/index.php?title=%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D1%87%D0%BA%D0%B0_%D0%B5%D0%BD%D1%86%D0%B8%D0%BA%D0%BB%D0%BE%D0%BF%D0%B5%D0%B4%D0%B8%D1%98%D0%B0&action=edit&redlink=1" class="new" title="Математичка енциклопедија (страницата не постои)">Математичка енциклопедија</a></i>, Шпрингер, <a href="/wiki/ISBN" title="ISBN">ISBN</a> <a href="/wiki/%D0%A1%D0%BF%D0%B5%D1%86%D0%B8%D1%98%D0%B0%D0%BB%D0%BD%D0%B0:%D0%9F%D0%B5%D1%87%D0%B0%D1%82%D0%B5%D0%BD%D0%98%D0%B7%D0%B2%D0%BE%D1%80/978-1556080104" title="Специјална:ПечатенИзвор/978-1556080104"><bdi>978-1556080104</bdi></a></cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.atitle=Parabola&rft.btitle=%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D1%87%D0%BA%D0%B0+%D0%B5%D0%BD%D1%86%D0%B8%D0%BA%D0%BB%D0%BE%D0%BF%D0%B5%D0%B4%D0%B8%D1%98%D0%B0&rft.pub=%D0%A8%D0%BF%D1%80%D0%B8%D0%BD%D0%B3%D0%B5%D1%80&rft.date=2001&rft.isbn=978-1556080104&rft_id=http%3A%2F%2Feom.springer.de%2Fp%2Fp071150.htm&rfr_id=info%3Asid%2Fmk.wikipedia.org%3A%D0%9F%D0%B0%D1%80%D0%B0%D0%B1%D0%BE%D0%BB%D0%B0" class="Z3988"></span><style data-mw-deduplicate="TemplateStyles:r5289462">.mw-parser-output cite.citation{font-style:inherit}.mw-parser-output .citation q{quotes:"\"""\"""'""'"}.mw-parser-output .id-lock-free a,.mw-parser-output .citation .cs1-lock-free a{background-image:url("//upload.wikimedia.org/wikipedia/commons/thumb/6/65/Lock-green.svg/9px-Lock-green.svg.png");background-image:linear-gradient(transparent,transparent),url("//upload.wikimedia.org/wikipedia/commons/6/65/Lock-green.svg");background-repeat:no-repeat;background-size:9px;background-position:right .1em center}.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-image:url("//upload.wikimedia.org/wikipedia/commons/thumb/d/d6/Lock-gray-alt-2.svg/9px-Lock-gray-alt-2.svg.png");background-image:linear-gradient(transparent,transparent),url("//upload.wikimedia.org/wikipedia/commons/d/d6/Lock-gray-alt-2.svg");background-repeat:no-repeat;background-size:9px;background-position:right .1em center}.mw-parser-output .id-lock-subscription a,.mw-parser-output .citation .cs1-lock-subscription a{background-image:url("//upload.wikimedia.org/wikipedia/commons/thumb/a/aa/Lock-red-alt-2.svg/9px-Lock-red-alt-2.svg.png");background-image:linear-gradient(transparent,transparent),url("//upload.wikimedia.org/wikipedia/commons/a/aa/Lock-red-alt-2.svg");background-repeat:no-repeat;background-size:9px;background-position:right .1em center}.mw-parser-output .cs1-subscription,.mw-parser-output .cs1-registration{color:var(--color-subtle,#54595d)}.mw-parser-output .cs1-subscription span,.mw-parser-output .cs1-registration span{border-bottom:1px dotted;cursor:help}.mw-parser-output .cs1-ws-icon a{background-image:url("//upload.wikimedia.org/wikipedia/commons/thumb/4/4c/Wikisource-logo.svg/12px-Wikisource-logo.svg.png");background-image:linear-gradient(transparent,transparent),url("//upload.wikimedia.org/wikipedia/commons/4/4c/Wikisource-logo.svg");background-repeat:no-repeat;background-size:12px;background-position:right .1em center}.mw-parser-output code.cs1-code{color:inherit;background:inherit;border:inherit;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;font-size:100%}.mw-parser-output .cs1-visible-error{font-size:100%}.mw-parser-output .cs1-maint{display:none;color:#33aa33;margin-left:0.3em}.mw-parser-output .cs1-subscription,.mw-parser-output .cs1-registration,.mw-parser-output .cs1-format{font-size:95%}.mw-parser-output .cs1-kern-left,.mw-parser-output .cs1-kern-wl-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right,.mw-parser-output .cs1-kern-wl-right{padding-right:0.2em}.mw-parser-output .citation .mw-selflink{font-weight:inherit}</style></li> <li>„<span class="plainlinks"><a rel="nofollow" class="external text" href="http://mathworld.wolfram.com/Parabola.html">Parabola</a></span>“ од Ерик В. Вајсштајн — <a href="/wiki/MathWorld" title="MathWorld">MathWorld</a> <span class="languageicon" style="font-size:0.95em; font-weight:bold; color:#808080ff;">(англиски)</span></li></ul> <ul><li><a rel="nofollow" class="external text" href="http://www.mathwarehouse.com/quadratic/parabola/interactive-parabola.php">Interactive parabola-drag focus, see axis of symmetry, directrix, standard and vertex forms</a></li> <li><a rel="nofollow" class="external text" href="http://www.cut-the-knot.org/Curriculum/Geometry/ArchimedesTriangle.shtml">Archimedes Triangle and Squaring of Parabola</a> at <a href="/w/index.php?title=Cut-the-knot&action=edit&redlink=1" class="new" title="Cut-the-knot (страницата не постои)">cut-the-knot</a></li> <li><a rel="nofollow" class="external text" href="http://www.cut-the-knot.org/Curriculum/Geometry/ParabolaLambert.shtml">Two Tangents to Parabola</a> at <a href="/w/index.php?title=Cut-the-knot&action=edit&redlink=1" class="new" title="Cut-the-knot (страницата не постои)">cut-the-knot</a></li> <li><a rel="nofollow" class="external text" href="http://www.cut-the-knot.org/Curriculum/Geometry/ParabolaEnvelope.shtml">Parabola As Envelope of Straight Lines</a> at <a href="/w/index.php?title=Cut-the-knot&action=edit&redlink=1" class="new" title="Cut-the-knot (страницата не постои)">cut-the-knot</a></li> <li><a rel="nofollow" class="external text" href="http://www.cut-the-knot.org/Curriculum/Geometry/ParabolaMirror.shtml">Parabolic Mirror</a> at <a href="/w/index.php?title=Cut-the-knot&action=edit&redlink=1" class="new" title="Cut-the-knot (страницата не постои)">cut-the-knot</a></li> <li><a rel="nofollow" class="external text" href="http://www.cut-the-knot.org/Curriculum/Geometry/ThreeParabolaTangents.shtml">Three Parabola Tangents</a> at <a href="/w/index.php?title=Cut-the-knot&action=edit&redlink=1" class="new" title="Cut-the-knot (страницата не постои)">cut-the-knot</a></li> <li><a rel="nofollow" class="external text" href="http://www.cut-the-knot.org/Curriculum/Geometry/ParabolaFocal.shtml">Focal Properties of Parabola</a> at <a href="/w/index.php?title=Cut-the-knot&action=edit&redlink=1" class="new" title="Cut-the-knot (страницата не постои)">cut-the-knot</a></li> <li><a rel="nofollow" class="external text" href="http://www.cut-the-knot.org/Curriculum/Geometry/ParabolaMesh.shtml">Parabola As Envelope II</a> at <a href="/w/index.php?title=Cut-the-knot&action=edit&redlink=1" class="new" title="Cut-the-knot (страницата не постои)">cut-the-knot</a></li> <li><a rel="nofollow" class="external text" href="http://dynamicmathematicslearning.com/similarparabola.html">The similarity of parabola</a> at <a rel="nofollow" class="external text" href="http://dynamicmathematicslearning.com/JavaGSPLinks.htm">Dynamic Geometry Sketches</a>, interactive dynamic geometry sketch.</li> <li><a rel="nofollow" class="external text" href="http://objects.library.uu.nl/reader/index.php?obj=1874-20606&lan=en#page//11/65/13/116513161330830239976915216825059484204.jpg/mode/2up">Frans van Schooten: <i>Mathematische Oeffeningen</i>, 1659</a></li></ul> <table class="navbox" style="border-spacing:0"><tbody><tr><td style="padding:2px"><table class="nowraplinks hlist navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="row" class="navbox-group"><a href="/wiki/%D0%9D%D0%BE%D1%80%D0%BC%D0%B0%D1%82%D0%B8%D0%B2%D0%BD%D0%B0_%D0%BA%D0%BE%D0%BD%D1%82%D1%80%D0%BE%D0%BB%D0%B0" title="Нормативна контрола">Нормативна контрола</a></th><td class="navbox-list navbox-odd" 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/%D0%9D%D0%B0%D1%86%D0%B8%D0%BE%D0%BD%D0%B0%D0%BB%D0%BD%D0%B0_%D0%B1%D0%B8%D0%B1%D0%BB%D0%B8%D0%BE%D1%82%D0%B5%D0%BA%D0%B0_%D0%BD%D0%B0_%D0%A7%D0%B5%D1%88%D0%BA%D0%B0" title="Национална библиотека на Чешка">NKC</a>: <span class="uid"><a rel="nofollow" class="external text" href="http://aleph.nkp.cz/F/?func=find-c&local_base=aut&ccl_term=ica=ph973162&CON_LNG=ENG">ph973162</a></span></li></ul> </div></td></tr></tbody></table></td></tr></tbody></table></div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1&useformat=desktop" alt="" width="1" height="1" style="border: none; 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