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<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="Webbplats"> <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="Innehåll" 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">Innehåll</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">flytta till sidofältet</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">dölj</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">Inledning</div> </a> </li> <li id="toc-Cirkeln" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Cirkeln"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Cirkeln</span> </div> </a> <ul id="toc-Cirkeln-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Annat_som_mäts_i_vinkelenheter" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Annat_som_mäts_i_vinkelenheter"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Annat som mäts i vinkelenheter</span> </div> </a> <ul id="toc-Annat_som_mäts_i_vinkelenheter-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Konvertering_mellan_vinkelenheter" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Konvertering_mellan_vinkelenheter"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Konvertering mellan vinkelenheter</span> </div> </a> <ul id="toc-Konvertering_mellan_vinkelenheter-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Vinkelmåttens_historia" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Vinkelmåttens_historia"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Vinkelmåttens historia</span> </div> </a> <ul id="toc-Vinkelmåttens_historia-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Typer_av_vinklar" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Typer_av_vinklar"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Typer av vinklar</span> </div> </a> <ul id="toc-Typer_av_vinklar-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Källor" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Källor"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>Källor</span> </div> </a> <ul id="toc-Källor-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Externa_länkar" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Externa_länkar"> <div class="vector-toc-text"> <span class="vector-toc-numb">7</span> <span>Externa länkar</span> </div> </a> <ul id="toc-Externa_länkar-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="Innehåll" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" title="Innehållsförteckning" > <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="Växla innehållsförteckningen" > <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">Växla innehållsförteckningen</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">Vinkel</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="Gå till en artikel på ett annat språk. Tillgänglig på 140 språk" > <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-140" 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">140 språk</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-kbd mw-list-item"><a href="https://kbd.wikipedia.org/wiki/%D0%9F%D0%BB%D3%80%D0%B0%D0%BD%D1%8D%D0%BF%D1%8D" title="ПлӀанэпэ – kabardinska" lang="kbd" hreflang="kbd" data-title="ПлӀанэпэ" data-language-autonym="Адыгэбзэ" data-language-local-name="kabardinska" class="interlanguage-link-target"><span>Адыгэбзэ</span></a></li><li class="interlanguage-link interwiki-af mw-list-item"><a href="https://af.wikipedia.org/wiki/Hoek_(meetkunde)" title="Hoek (meetkunde) – afrikaans" lang="af" hreflang="af" data-title="Hoek (meetkunde)" data-language-autonym="Afrikaans" data-language-local-name="afrikaans" class="interlanguage-link-target"><span>Afrikaans</span></a></li><li class="interlanguage-link interwiki-als mw-list-item"><a href="https://als.wikipedia.org/wiki/Winkel_(Geometrie)" title="Winkel (Geometrie) – schweizertyska" lang="gsw" hreflang="gsw" data-title="Winkel (Geometrie)" data-language-autonym="Alemannisch" data-language-local-name="schweizertyska" class="interlanguage-link-target"><span>Alemannisch</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%B2%D8%A7%D9%88%D9%8A%D8%A9_(%D9%87%D9%86%D8%AF%D8%B3%D8%A9)" title="زاوية (هندسة) – arabiska" lang="ar" hreflang="ar" data-title="زاوية (هندسة)" data-language-autonym="العربية" data-language-local-name="arabiska" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-an mw-list-item"><a href="https://an.wikipedia.org/wiki/Anglo" title="Anglo – aragonesiska" lang="an" hreflang="an" data-title="Anglo" data-language-autonym="Aragonés" data-language-local-name="aragonesiska" class="interlanguage-link-target"><span>Aragonés</span></a></li><li class="interlanguage-link interwiki-arc mw-list-item"><a href="https://arc.wikipedia.org/wiki/%DC%99%DC%98%DC%9D%DC%AC%DC%90_(%DC%A1%DC%9A%DC%AA%DC%98%DC%AC%DC%90)" title="ܙܘܝܬܐ (ܡܚܪܘܬܐ) – arameiska" lang="arc" hreflang="arc" data-title="ܙܘܝܬܐ (ܡܚܪܘܬܐ)" data-language-autonym="ܐܪܡܝܐ" data-language-local-name="arameiska" class="interlanguage-link-target"><span>ܐܪܡܝܐ</span></a></li><li class="interlanguage-link interwiki-hyw mw-list-item"><a href="https://hyw.wikipedia.org/wiki/%D4%B1%D5%B6%D5%AF%D5%AB%D6%82%D5%B6" title="Անկիւն – Western Armenian" lang="hyw" hreflang="hyw" data-title="Անկիւն" data-language-autonym="Արեւմտահայերէն" data-language-local-name="Western Armenian" class="interlanguage-link-target"><span>Արեւմտահայերէն</span></a></li><li class="interlanguage-link interwiki-as mw-list-item"><a href="https://as.wikipedia.org/wiki/%E0%A6%95%E0%A7%8B%E0%A6%A3" title="কোণ – assamesiska" lang="as" hreflang="as" data-title="কোণ" data-language-autonym="অসমীয়া" data-language-local-name="assamesiska" class="interlanguage-link-target"><span>অসমীয়া</span></a></li><li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://ast.wikipedia.org/wiki/%C3%81ngulu" title="Ángulu – asturiska" lang="ast" hreflang="ast" data-title="Ángulu" data-language-autonym="Asturianu" data-language-local-name="asturiska" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-gn mw-list-item"><a href="https://gn.wikipedia.org/wiki/Takamby" title="Takamby – guaraní" lang="gn" hreflang="gn" data-title="Takamby" data-language-autonym="Avañe'ẽ" data-language-local-name="guaraní" class="interlanguage-link-target"><span>Avañe'ẽ</span></a></li><li class="interlanguage-link interwiki-ay mw-list-item"><a href="https://ay.wikipedia.org/wiki/K%27uchu" title="K'uchu – aymara" lang="ay" hreflang="ay" data-title="K'uchu" data-language-autonym="Aymar aru" data-language-local-name="aymara" class="interlanguage-link-target"><span>Aymar aru</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/Bucaq" title="Bucaq – azerbajdzjanska" lang="az" hreflang="az" data-title="Bucaq" data-language-autonym="Azərbaycanca" data-language-local-name="azerbajdzjanska" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-azb mw-list-item"><a href="https://azb.wikipedia.org/wiki/%D8%A2%DA%86%DB%8C" title="آچی – South Azerbaijani" lang="azb" hreflang="azb" data-title="آچی" data-language-autonym="تۆرکجه" data-language-local-name="South Azerbaijani" class="interlanguage-link-target"><span>تۆرکجه</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%95%E0%A7%8B%E0%A6%A3" title="কোণ – bengali" lang="bn" hreflang="bn" data-title="কোণ" data-language-autonym="বাংলা" data-language-local-name="bengali" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-zh-min-nan mw-list-item"><a href="https://zh-min-nan.wikipedia.org/wiki/Kak-t%C5%8D%CD%98" title="Kak-tō͘ – min nan" lang="nan" hreflang="nan" data-title="Kak-tō͘" data-language-autonym="閩南語 / Bân-lâm-gú" data-language-local-name="min nan" class="interlanguage-link-target"><span>閩南語 / Bân-lâm-gú</span></a></li><li class="interlanguage-link interwiki-ba mw-list-item"><a href="https://ba.wikipedia.org/wiki/%D0%9C%D3%A9%D0%B9%D3%A9%D1%88" title="Мөйөш – basjkiriska" lang="ba" hreflang="ba" data-title="Мөйөш" data-language-autonym="Башҡортса" data-language-local-name="basjkiriska" 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%92%D1%83%D0%B3%D0%B0%D0%BB" title="Вугал – belarusiska" lang="be" hreflang="be" data-title="Вугал" data-language-autonym="Беларуская" data-language-local-name="belarusiska" 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%9A%D1%83%D1%82" title="Кут – belarusiska (tarasjkevitsa)" lang="be-tarask" hreflang="be-tarask" data-title="Кут" data-language-autonym="Беларуская (тарашкевіца)" data-language-local-name="belarusiska (tarasjkevitsa)" class="interlanguage-link-target"><span>Беларуская (тарашкевіца)</span></a></li><li class="interlanguage-link interwiki-bcl mw-list-item"><a href="https://bcl.wikipedia.org/wiki/Anggulo" title="Anggulo – Central Bikol" lang="bcl" hreflang="bcl" data-title="Anggulo" data-language-autonym="Bikol Central" data-language-local-name="Central Bikol" class="interlanguage-link-target"><span>Bikol Central</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%AA%D0%B3%D1%8A%D0%BB" title="Ъгъл – bulgariska" lang="bg" hreflang="bg" data-title="Ъгъл" data-language-autonym="Български" data-language-local-name="bulgariska" 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/Ugao" title="Ugao – bosniska" lang="bs" hreflang="bs" data-title="Ugao" data-language-autonym="Bosanski" data-language-local-name="bosniska" class="interlanguage-link-target"><span>Bosanski</span></a></li><li class="interlanguage-link interwiki-br mw-list-item"><a href="https://br.wikipedia.org/wiki/Korn_(mentoniezh)" title="Korn (mentoniezh) – bretonska" lang="br" hreflang="br" data-title="Korn (mentoniezh)" data-language-autonym="Brezhoneg" data-language-local-name="bretonska" class="interlanguage-link-target"><span>Brezhoneg</span></a></li><li class="interlanguage-link interwiki-bxr mw-list-item"><a href="https://bxr.wikipedia.org/wiki/%D2%AE%D0%BD%D1%81%D1%8D%D0%B3" title="Үнсэг – Russia Buriat" lang="bxr" hreflang="bxr" data-title="Үнсэг" data-language-autonym="Буряад" data-language-local-name="Russia Buriat" class="interlanguage-link-target"><span>Буряад</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Angle" title="Angle – katalanska" lang="ca" hreflang="ca" data-title="Angle" data-language-autonym="Català" data-language-local-name="katalanska" 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%9A%C4%95%D1%82%D0%B5%D1%81" title="Кĕтес – tjuvasjiska" lang="cv" hreflang="cv" data-title="Кĕтес" data-language-autonym="Чӑвашла" data-language-local-name="tjuvasjiska" 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/%C3%9Ahel" title="Úhel – tjeckiska" lang="cs" hreflang="cs" data-title="Úhel" data-language-autonym="Čeština" data-language-local-name="tjeckiska" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-sn mw-list-item"><a href="https://sn.wikipedia.org/wiki/Gonyo" title="Gonyo – shona" lang="sn" hreflang="sn" data-title="Gonyo" data-language-autonym="ChiShona" data-language-local-name="shona" class="interlanguage-link-target"><span>ChiShona</span></a></li><li class="interlanguage-link interwiki-cy mw-list-item"><a href="https://cy.wikipedia.org/wiki/Ongl" title="Ongl – walesiska" lang="cy" hreflang="cy" data-title="Ongl" data-language-autonym="Cymraeg" data-language-local-name="walesiska" 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/Vinkel" title="Vinkel – danska" lang="da" hreflang="da" data-title="Vinkel" data-language-autonym="Dansk" data-language-local-name="danska" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-ary mw-list-item"><a href="https://ary.wikipedia.org/wiki/%D8%B2%D8%A7%D9%88%D9%8A%D8%A9" title="زاوية – marockansk arabiska" lang="ary" hreflang="ary" data-title="زاوية" data-language-autonym="الدارجة" data-language-local-name="marockansk arabiska" class="interlanguage-link-target"><span>الدارجة</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Winkel" title="Winkel – tyska" lang="de" hreflang="de" data-title="Winkel" data-language-autonym="Deutsch" data-language-local-name="tyska" 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/Nurk" title="Nurk – estniska" lang="et" hreflang="et" data-title="Nurk" data-language-autonym="Eesti" data-language-local-name="estniska" 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%93%CF%89%CE%BD%CE%AF%CE%B1" title="Γωνία – grekiska" lang="el" hreflang="el" data-title="Γωνία" data-language-autonym="Ελληνικά" data-language-local-name="grekiska" 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/Angle" title="Angle – engelska" lang="en" hreflang="en" data-title="Angle" data-language-autonym="English" data-language-local-name="engelska" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-myv mw-list-item"><a href="https://myv.wikipedia.org/wiki/%D0%A3%D0%B6%D0%BE" title="Ужо – erjya" lang="myv" hreflang="myv" data-title="Ужо" data-language-autonym="Эрзянь" data-language-local-name="erjya" class="interlanguage-link-target"><span>Эрзянь</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/%C3%81ngulo" title="Ángulo – spanska" lang="es" hreflang="es" data-title="Ángulo" data-language-autonym="Español" data-language-local-name="spanska" 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/Angulo" title="Angulo – esperanto" lang="eo" hreflang="eo" data-title="Angulo" data-language-autonym="Esperanto" data-language-local-name="esperanto" 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/Angelu_(geometria)" title="Angelu (geometria) – baskiska" lang="eu" hreflang="eu" data-title="Angelu (geometria)" data-language-autonym="Euskara" data-language-local-name="baskiska" 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%B2%D8%A7%D9%88%DB%8C%D9%87" title="زاویه – persiska" lang="fa" hreflang="fa" data-title="زاویه" data-language-autonym="فارسی" data-language-local-name="persiska" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-hif mw-list-item"><a href="https://hif.wikipedia.org/wiki/Angle" title="Angle – Fiji-hindi" lang="hif" hreflang="hif" data-title="Angle" data-language-autonym="Fiji Hindi" data-language-local-name="Fiji-hindi" class="interlanguage-link-target"><span>Fiji Hindi</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Angle" title="Angle – franska" lang="fr" hreflang="fr" data-title="Angle" data-language-autonym="Français" data-language-local-name="franska" 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/Uillinn_(matamaitic)" title="Uillinn (matamaitic) – iriska" lang="ga" hreflang="ga" data-title="Uillinn (matamaitic)" data-language-autonym="Gaeilge" data-language-local-name="iriska" 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/Ce%C3%A0rn_(Matamataig)" title="Ceàrn (Matamataig) – skotsk gaeliska" lang="gd" hreflang="gd" data-title="Ceàrn (Matamataig)" data-language-autonym="Gàidhlig" data-language-local-name="skotsk gaeliska" 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/%C3%81ngulo" title="Ángulo – galiciska" lang="gl" hreflang="gl" data-title="Ángulo" data-language-autonym="Galego" data-language-local-name="galiciska" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-gan mw-list-item"><a href="https://gan.wikipedia.org/wiki/%E8%A7%92" title="角 – gan" lang="gan" hreflang="gan" data-title="角" data-language-autonym="贛語" data-language-local-name="gan" class="interlanguage-link-target"><span>贛語</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EA%B0%81_(%EC%88%98%ED%95%99)" title="각 (수학) – koreanska" lang="ko" hreflang="ko" data-title="각 (수학)" data-language-autonym="한국어" data-language-local-name="koreanska" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D4%B1%D5%B6%D5%AF%D5%B5%D5%B8%D6%82%D5%B6" title="Անկյուն – armeniska" lang="hy" hreflang="hy" data-title="Անկյուն" data-language-autonym="Հայերեն" data-language-local-name="armeniska" 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%95%E0%A5%8B%E0%A4%A3" title="कोण – hindi" lang="hi" hreflang="hi" data-title="कोण" data-language-autonym="हिन्दी" data-language-local-name="hindi" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Kut" title="Kut – kroatiska" lang="hr" hreflang="hr" data-title="Kut" data-language-autonym="Hrvatski" data-language-local-name="kroatiska" 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/Angulo" title="Angulo – ido" lang="io" hreflang="io" data-title="Angulo" data-language-autonym="Ido" data-language-local-name="ido" class="interlanguage-link-target"><span>Ido</span></a></li><li class="interlanguage-link interwiki-ilo mw-list-item"><a href="https://ilo.wikipedia.org/wiki/Anggulo" title="Anggulo – iloko" lang="ilo" hreflang="ilo" data-title="Anggulo" data-language-autonym="Ilokano" data-language-local-name="iloko" class="interlanguage-link-target"><span>Ilokano</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Sudut_(geometri)" title="Sudut (geometri) – indonesiska" lang="id" hreflang="id" data-title="Sudut (geometri)" data-language-autonym="Bahasa Indonesia" data-language-local-name="indonesiska" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-ia mw-list-item"><a href="https://ia.wikipedia.org/wiki/Angulo" title="Angulo – interlingua" lang="ia" hreflang="ia" data-title="Angulo" data-language-autonym="Interlingua" data-language-local-name="interlingua" class="interlanguage-link-target"><span>Interlingua</span></a></li><li class="interlanguage-link interwiki-zu mw-list-item"><a href="https://zu.wikipedia.org/wiki/Ingoni" title="Ingoni – zulu" lang="zu" hreflang="zu" data-title="Ingoni" data-language-autonym="IsiZulu" data-language-local-name="zulu" class="interlanguage-link-target"><span>IsiZulu</span></a></li><li class="interlanguage-link interwiki-is mw-list-item"><a href="https://is.wikipedia.org/wiki/Horn_(r%C3%BAmfr%C3%A6%C3%B0i)" title="Horn (rúmfræði) – isländska" lang="is" hreflang="is" data-title="Horn (rúmfræði)" data-language-autonym="Íslenska" data-language-local-name="isländska" 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/Angolo" title="Angolo – italienska" lang="it" hreflang="it" data-title="Angolo" data-language-autonym="Italiano" data-language-local-name="italienska" 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%96%D7%95%D7%95%D7%99%D7%AA" title="זווית – hebreiska" lang="he" hreflang="he" data-title="זווית" data-language-autonym="עברית" data-language-local-name="hebreiska" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-kn mw-list-item"><a href="https://kn.wikipedia.org/wiki/%E0%B2%95%E0%B3%8B%E0%B2%A8" title="ಕೋನ – kannada" lang="kn" hreflang="kn" data-title="ಕೋನ" data-language-autonym="ಕನ್ನಡ" data-language-local-name="kannada" class="interlanguage-link-target"><span>ಕನ್ನಡ</span></a></li><li class="interlanguage-link interwiki-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/%E1%83%99%E1%83%A3%E1%83%97%E1%83%AE%E1%83%94" title="კუთხე – georgiska" lang="ka" hreflang="ka" data-title="კუთხე" data-language-autonym="ქართული" data-language-local-name="georgiska" 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%91%D2%B1%D1%80%D1%8B%D1%88_(%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%8F)" title="Бұрыш (геометрия) – kazakiska" lang="kk" hreflang="kk" data-title="Бұрыш (геометрия)" data-language-autonym="Қазақша" data-language-local-name="kazakiska" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-kw mw-list-item"><a href="https://kw.wikipedia.org/wiki/Angle" title="Angle – korniska" lang="kw" hreflang="kw" data-title="Angle" data-language-autonym="Kernowek" data-language-local-name="korniska" class="interlanguage-link-target"><span>Kernowek</span></a></li><li class="interlanguage-link interwiki-sw mw-list-item"><a href="https://sw.wikipedia.org/wiki/Pembe_(jiometria)" title="Pembe (jiometria) – swahili" lang="sw" hreflang="sw" data-title="Pembe (jiometria)" data-language-autonym="Kiswahili" data-language-local-name="swahili" class="interlanguage-link-target"><span>Kiswahili</span></a></li><li class="interlanguage-link interwiki-ht mw-list-item"><a href="https://ht.wikipedia.org/wiki/Ang" title="Ang – haitiska" lang="ht" hreflang="ht" data-title="Ang" data-language-autonym="Kreyòl ayisyen" data-language-local-name="haitiska" class="interlanguage-link-target"><span>Kreyòl ayisyen</span></a></li><li class="interlanguage-link interwiki-gcr mw-list-item"><a href="https://gcr.wikipedia.org/wiki/Ang" title="Ang – Guianan Creole" lang="gcr" hreflang="gcr" data-title="Ang" data-language-autonym="Kriyòl gwiyannen" data-language-local-name="Guianan Creole" class="interlanguage-link-target"><span>Kriyòl gwiyannen</span></a></li><li class="interlanguage-link interwiki-ku mw-list-item"><a href="https://ku.wikipedia.org/wiki/Hoke" title="Hoke – kurdiska" lang="ku" hreflang="ku" data-title="Hoke" data-language-autonym="Kurdî" data-language-local-name="kurdiska" class="interlanguage-link-target"><span>Kurdî</span></a></li><li class="interlanguage-link interwiki-ky mw-list-item"><a href="https://ky.wikipedia.org/wiki/%D0%91%D1%83%D1%80%D1%87" title="Бурч – kirgiziska" lang="ky" hreflang="ky" data-title="Бурч" data-language-autonym="Кыргызча" data-language-local-name="kirgiziska" 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/Angulus" title="Angulus – latin" lang="la" hreflang="la" data-title="Angulus" data-language-autonym="Latina" data-language-local-name="latin" 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/Le%C5%86%C4%B7is" title="Leņķis – lettiska" lang="lv" hreflang="lv" data-title="Leņķis" data-language-autonym="Latviešu" data-language-local-name="lettiska" 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/Kampas" title="Kampas – litauiska" lang="lt" hreflang="lt" data-title="Kampas" data-language-autonym="Lietuvių" data-language-local-name="litauiska" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-li mw-list-item"><a href="https://li.wikipedia.org/wiki/Hook" title="Hook – limburgiska" lang="li" hreflang="li" data-title="Hook" data-language-autonym="Limburgs" data-language-local-name="limburgiska" class="interlanguage-link-target"><span>Limburgs</span></a></li><li class="interlanguage-link interwiki-ln mw-list-item"><a href="https://ln.wikipedia.org/wiki/Lit%C3%BAmu" title="Litúmu – lingala" lang="ln" hreflang="ln" data-title="Litúmu" data-language-autonym="Lingála" data-language-local-name="lingala" class="interlanguage-link-target"><span>Lingála</span></a></li><li class="interlanguage-link interwiki-lmo mw-list-item"><a href="https://lmo.wikipedia.org/wiki/Angol" title="Angol – lombardiska" lang="lmo" hreflang="lmo" data-title="Angol" data-language-autonym="Lombard" data-language-local-name="lombardiska" class="interlanguage-link-target"><span>Lombard</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Sz%C3%B6g" title="Szög – ungerska" lang="hu" hreflang="hu" data-title="Szög" data-language-autonym="Magyar" data-language-local-name="ungerska" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%90%D0%B3%D0%BE%D0%BB" title="Агол – makedonska" lang="mk" hreflang="mk" data-title="Агол" data-language-autonym="Македонски" data-language-local-name="makedonska" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-mg mw-list-item"><a href="https://mg.wikipedia.org/wiki/Zoro_(je%C3%B4metria)" title="Zoro (jeômetria) – malagassiska" lang="mg" hreflang="mg" data-title="Zoro (jeômetria)" data-language-autonym="Malagasy" data-language-local-name="malagassiska" class="interlanguage-link-target"><span>Malagasy</span></a></li><li class="interlanguage-link interwiki-ml mw-list-item"><a href="https://ml.wikipedia.org/wiki/%E0%B4%95%E0%B5%8B%E0%B5%BA" title="കോൺ – malayalam" lang="ml" hreflang="ml" data-title="കോൺ" data-language-autonym="മലയാളം" data-language-local-name="malayalam" 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%95%E0%A5%8B%E0%A4%A8" title="कोन – marathi" lang="mr" hreflang="mr" data-title="कोन" data-language-autonym="मराठी" data-language-local-name="marathi" class="interlanguage-link-target"><span>मराठी</span></a></li><li class="interlanguage-link interwiki-xmf mw-list-item"><a href="https://xmf.wikipedia.org/wiki/%E1%83%99%E1%83%A3%E1%83%9C%E1%83%97%E1%83%AE%E1%83%A3" title="კუნთხუ – mingrelianska" lang="xmf" hreflang="xmf" data-title="კუნთხუ" data-language-autonym="მარგალური" data-language-local-name="mingrelianska" class="interlanguage-link-target"><span>მარგალური</span></a></li><li class="interlanguage-link interwiki-arz mw-list-item"><a href="https://arz.wikipedia.org/wiki/%D8%B2%D8%A7%D9%88%D9%8A%D9%87_(%D9%87%D9%86%D8%AF%D8%B3%D9%87)" title="زاويه (هندسه) – egyptisk arabiska" lang="arz" hreflang="arz" data-title="زاويه (هندسه)" data-language-autonym="مصرى" data-language-local-name="egyptisk arabiska" class="interlanguage-link-target"><span>مصرى</span></a></li><li class="interlanguage-link interwiki-mzn mw-list-item"><a href="https://mzn.wikipedia.org/wiki/%D8%B3%D9%88%DA%A9(%D9%87%D9%86%D9%91%D8%B3%D9%87)" title="سوک(هنّسه) – mazanderani" lang="mzn" hreflang="mzn" data-title="سوک(هنّسه)" data-language-autonym="مازِرونی" data-language-local-name="mazanderani" class="interlanguage-link-target"><span>مازِرونی</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Sudut" title="Sudut – malajiska" lang="ms" hreflang="ms" data-title="Sudut" data-language-autonym="Bahasa Melayu" data-language-local-name="malajiska" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-mdf mw-list-item"><a href="https://mdf.wikipedia.org/wiki/%D0%A3%D0%B6%D0%B5%D1%81%D1%8C" title="Ужесь – moksja" lang="mdf" hreflang="mdf" data-title="Ужесь" data-language-autonym="Мокшень" data-language-local-name="moksja" class="interlanguage-link-target"><span>Мокшень</span></a></li><li class="interlanguage-link interwiki-mn mw-list-item"><a href="https://mn.wikipedia.org/wiki/%D3%A8%D0%BD%D1%86%D3%A9%D0%B3_(%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80)" title="Өнцөг (геометр) – mongoliska" lang="mn" hreflang="mn" data-title="Өнцөг (геометр)" data-language-autonym="Монгол" data-language-local-name="mongoliska" class="interlanguage-link-target"><span>Монгол</span></a></li><li class="interlanguage-link interwiki-my mw-list-item"><a href="https://my.wikipedia.org/wiki/%E1%80%91%E1%80%B1%E1%80%AC%E1%80%84%E1%80%B7%E1%80%BA" title="ထောင့် – burmesiska" lang="my" hreflang="my" data-title="ထောင့်" data-language-autonym="မြန်မာဘာသာ" data-language-local-name="burmesiska" class="interlanguage-link-target"><span>မြန်မာဘာသာ</span></a></li><li class="interlanguage-link interwiki-fj mw-list-item"><a href="https://fj.wikipedia.org/wiki/Tutuni" title="Tutuni – fijianska" lang="fj" hreflang="fj" data-title="Tutuni" data-language-autonym="Na Vosa Vakaviti" data-language-local-name="fijianska" class="interlanguage-link-target"><span>Na Vosa Vakaviti</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Hoek_(meetkunde)" title="Hoek (meetkunde) – nederländska" lang="nl" hreflang="nl" data-title="Hoek (meetkunde)" data-language-autonym="Nederlands" data-language-local-name="nederländska" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-ne mw-list-item"><a href="https://ne.wikipedia.org/wiki/%E0%A4%95%E0%A5%8B%E0%A4%A3" title="कोण – nepalesiska" lang="ne" hreflang="ne" data-title="कोण" data-language-autonym="नेपाली" data-language-local-name="nepalesiska" class="interlanguage-link-target"><span>नेपाली</span></a></li><li class="interlanguage-link interwiki-new mw-list-item"><a href="https://new.wikipedia.org/wiki/%E0%A4%95%E0%A5%81%E0%A4%82" title="कुं – newariska" lang="new" hreflang="new" data-title="कुं" data-language-autonym="नेपाल भाषा" data-language-local-name="newariska" class="interlanguage-link-target"><span>नेपाल भाषा</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E8%A7%92%E5%BA%A6" title="角度 – japanska" lang="ja" hreflang="ja" data-title="角度" data-language-autonym="日本語" data-language-local-name="japanska" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-nqo mw-list-item"><a href="https://nqo.wikipedia.org/wiki/%DF%9E%DF%8B%DF%B2%DF%9B%DF%90%DF%B2" title="ߞߋ߲ߛߐ߲ – n-kå" lang="nqo" hreflang="nqo" data-title="ߞߋ߲ߛߐ߲" data-language-autonym="ߒߞߏ" data-language-local-name="n-kå" class="interlanguage-link-target"><span>ߒߞߏ</span></a></li><li class="interlanguage-link interwiki-frr mw-list-item"><a href="https://frr.wikipedia.org/wiki/Winkel" title="Winkel – nordfrisiska" lang="frr" hreflang="frr" data-title="Winkel" data-language-autonym="Nordfriisk" data-language-local-name="nordfrisiska" 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/Vinkel" title="Vinkel – norskt bokmål" lang="nb" hreflang="nb" data-title="Vinkel" data-language-autonym="Norsk bokmål" data-language-local-name="norskt bokmål" 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/Vinkel" title="Vinkel – nynorska" lang="nn" hreflang="nn" data-title="Vinkel" data-language-autonym="Norsk nynorsk" data-language-local-name="nynorska" 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/Angle" title="Angle – occitanska" lang="oc" hreflang="oc" data-title="Angle" data-language-autonym="Occitan" data-language-local-name="occitanska" class="interlanguage-link-target"><span>Occitan</span></a></li><li class="interlanguage-link interwiki-mhr mw-list-item"><a href="https://mhr.wikipedia.org/wiki/%D0%9B%D1%83%D0%BA" title="Лук – Eastern Mari" lang="mhr" hreflang="mhr" data-title="Лук" data-language-autonym="Олык марий" data-language-local-name="Eastern Mari" class="interlanguage-link-target"><span>Олык марий</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Burchak" title="Burchak – uzbekiska" lang="uz" hreflang="uz" data-title="Burchak" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="uzbekiska" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-pa mw-list-item"><a href="https://pa.wikipedia.org/wiki/%E0%A8%95%E0%A9%8B%E0%A8%A8" title="ਕੋਨ – punjabi" lang="pa" hreflang="pa" data-title="ਕੋਨ" data-language-autonym="ਪੰਜਾਬੀ" data-language-local-name="punjabi" class="interlanguage-link-target"><span>ਪੰਜਾਬੀ</span></a></li><li class="interlanguage-link interwiki-pnb mw-list-item"><a href="https://pnb.wikipedia.org/wiki/%D8%B2%D8%A7%D9%88%DB%8C%DB%81" title="زاویہ – Western Punjabi" lang="pnb" hreflang="pnb" data-title="زاویہ" data-language-autonym="پنجابی" data-language-local-name="Western Punjabi" class="interlanguage-link-target"><span>پنجابی</span></a></li><li class="interlanguage-link interwiki-ps mw-list-item"><a href="https://ps.wikipedia.org/wiki/%D8%B2%D8%A7%D9%88%D9%8A%D9%87" title="زاويه – pashto" lang="ps" hreflang="ps" data-title="زاويه" data-language-autonym="پښتو" data-language-local-name="pashto" class="interlanguage-link-target"><span>پښتو</span></a></li><li class="interlanguage-link interwiki-jam mw-list-item"><a href="https://jam.wikipedia.org/wiki/Hanggl" title="Hanggl – jamaikansk engelsk kreol" lang="jam" hreflang="jam" data-title="Hanggl" data-language-autonym="Patois" data-language-local-name="jamaikansk engelsk kreol" class="interlanguage-link-target"><span>Patois</span></a></li><li class="interlanguage-link interwiki-km mw-list-item"><a href="https://km.wikipedia.org/wiki/%E1%9E%98%E1%9E%BB%E1%9F%86" title="មុំ – kambodjanska" lang="km" hreflang="km" data-title="មុំ" data-language-autonym="ភាសាខ្មែរ" data-language-local-name="kambodjanska" class="interlanguage-link-target"><span>ភាសាខ្មែរ</span></a></li><li class="interlanguage-link interwiki-nds mw-list-item"><a href="https://nds.wikipedia.org/wiki/Winkel_(Geometrie)" title="Winkel (Geometrie) – lågtyska" lang="nds" hreflang="nds" data-title="Winkel (Geometrie)" data-language-autonym="Plattdüütsch" data-language-local-name="lågtyska" class="interlanguage-link-target"><span>Plattdüütsch</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/K%C4%85t" title="Kąt – polska" lang="pl" hreflang="pl" data-title="Kąt" data-language-autonym="Polski" data-language-local-name="polska" 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/%C3%82ngulo" title="Ângulo – portugisiska" lang="pt" hreflang="pt" data-title="Ângulo" data-language-autonym="Português" data-language-local-name="portugisiska" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-crh mw-list-item"><a href="https://crh.wikipedia.org/wiki/Muyu%C5%9F" title="Muyuş – krimtatariska" lang="crh" hreflang="crh" data-title="Muyuş" data-language-autonym="Qırımtatarca" data-language-local-name="krimtatariska" class="interlanguage-link-target"><span>Qırımtatarca</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Unghi" title="Unghi – rumänska" lang="ro" hreflang="ro" data-title="Unghi" data-language-autonym="Română" data-language-local-name="rumänska" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-qu mw-list-item"><a href="https://qu.wikipedia.org/wiki/Chhuka" title="Chhuka – quechua" lang="qu" hreflang="qu" data-title="Chhuka" data-language-autonym="Runa Simi" data-language-local-name="quechua" class="interlanguage-link-target"><span>Runa Simi</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%A3%D0%B3%D0%BE%D0%BB" title="Угол – ryska" lang="ru" hreflang="ru" data-title="Угол" data-language-autonym="Русский" data-language-local-name="ryska" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sah mw-list-item"><a href="https://sah.wikipedia.org/wiki/%D0%9C%D1%83%D0%BD%D0%BD%D1%83%D0%BA" title="Муннук – jakutiska" lang="sah" hreflang="sah" data-title="Муннук" data-language-autonym="Саха тыла" data-language-local-name="jakutiska" class="interlanguage-link-target"><span>Саха тыла</span></a></li><li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://sq.wikipedia.org/wiki/K%C3%ABndi" title="Këndi – albanska" lang="sq" hreflang="sq" data-title="Këndi" data-language-autonym="Shqip" data-language-local-name="albanska" 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/%C3%80nculu" title="Ànculu – sicilianska" lang="scn" hreflang="scn" data-title="Ànculu" data-language-autonym="Sicilianu" data-language-local-name="sicilianska" class="interlanguage-link-target"><span>Sicilianu</span></a></li><li class="interlanguage-link interwiki-si mw-list-item"><a href="https://si.wikipedia.org/wiki/%E0%B6%9A%E0%B7%9D%E0%B6%AB%E0%B6%BA" title="කෝණය – singalesiska" lang="si" hreflang="si" data-title="කෝණය" data-language-autonym="සිංහල" data-language-local-name="singalesiska" class="interlanguage-link-target"><span>සිංහල</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Angle" title="Angle – Simple English" lang="en-simple" hreflang="en-simple" data-title="Angle" 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/Uhol" title="Uhol – slovakiska" lang="sk" hreflang="sk" data-title="Uhol" data-language-autonym="Slovenčina" data-language-local-name="slovakiska" 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/Kot" title="Kot – slovenska" lang="sl" hreflang="sl" data-title="Kot" data-language-autonym="Slovenščina" data-language-local-name="slovenska" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-cu mw-list-item"><a href="https://cu.wikipedia.org/wiki/%D1%AA%D0%B3%D1%8A%D0%BB%D1%8A" title="Ѫгълъ – kyrkslaviska" lang="cu" hreflang="cu" data-title="Ѫгълъ" data-language-autonym="Словѣньскъ / ⰔⰎⰑⰂⰡⰐⰠⰔⰍⰟ" data-language-local-name="kyrkslaviska" class="interlanguage-link-target"><span>Словѣньскъ / ⰔⰎⰑⰂⰡⰐⰠⰔⰍⰟ</span></a></li><li class="interlanguage-link interwiki-so mw-list-item"><a href="https://so.wikipedia.org/wiki/Xagal" title="Xagal – somaliska" lang="so" hreflang="so" data-title="Xagal" data-language-autonym="Soomaaliga" data-language-local-name="somaliska" class="interlanguage-link-target"><span>Soomaaliga</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%DA%AF%DB%86%D8%B4%DB%95" title="گۆشە – centralkurdiska" lang="ckb" hreflang="ckb" data-title="گۆشە" data-language-autonym="کوردی" data-language-local-name="centralkurdiska" 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%A3%D0%B3%D0%B0%D0%BE" title="Угао – serbiska" lang="sr" hreflang="sr" data-title="Угао" data-language-autonym="Српски / srpski" data-language-local-name="serbiska" 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/Ugao" title="Ugao – serbokroatiska" lang="sh" hreflang="sh" data-title="Ugao" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="serbokroatiska" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-su mw-list-item"><a href="https://su.wikipedia.org/wiki/Juru_(%C3%A9lmu_ukur)" title="Juru (élmu ukur) – sundanesiska" lang="su" hreflang="su" data-title="Juru (élmu ukur)" data-language-autonym="Sunda" data-language-local-name="sundanesiska" class="interlanguage-link-target"><span>Sunda</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Kulma" title="Kulma – finska" lang="fi" hreflang="fi" data-title="Kulma" data-language-autonym="Suomi" data-language-local-name="finska" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-tl mw-list-item"><a href="https://tl.wikipedia.org/wiki/Anggulo" title="Anggulo – tagalog" lang="tl" hreflang="tl" data-title="Anggulo" data-language-autonym="Tagalog" data-language-local-name="tagalog" class="interlanguage-link-target"><span>Tagalog</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%95%E0%AF%8B%E0%AE%A3%E0%AE%AE%E0%AF%8D" title="கோணம் – tamil" lang="ta" hreflang="ta" data-title="கோணம்" data-language-autonym="தமிழ்" data-language-local-name="tamil" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-tt mw-list-item"><a href="https://tt.wikipedia.org/wiki/%D0%9F%D0%BE%D1%87%D0%BC%D0%B0%D0%BA" title="Почмак – tatariska" lang="tt" hreflang="tt" data-title="Почмак" data-language-autonym="Татарча / tatarça" data-language-local-name="tatariska" class="interlanguage-link-target"><span>Татарча / tatarça</span></a></li><li class="interlanguage-link interwiki-te mw-list-item"><a href="https://te.wikipedia.org/wiki/%E0%B0%95%E0%B1%8B%E0%B0%A3%E0%B0%82" title="కోణం – telugu" lang="te" hreflang="te" data-title="కోణం" data-language-autonym="తెలుగు" data-language-local-name="telugu" class="interlanguage-link-target"><span>తెలుగు</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%A1%E0%B8%B8%E0%B8%A1" title="มุม – thailändska" lang="th" hreflang="th" data-title="มุม" data-language-autonym="ไทย" data-language-local-name="thailändska" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tg mw-list-item"><a href="https://tg.wikipedia.org/wiki/%D0%9A%D1%83%D0%BD%D2%B7" title="Кунҷ – tadzjikiska" lang="tg" hreflang="tg" data-title="Кунҷ" data-language-autonym="Тоҷикӣ" data-language-local-name="tadzjikiska" class="interlanguage-link-target"><span>Тоҷикӣ</span></a></li><li class="interlanguage-link interwiki-chr mw-list-item"><a href="https://chr.wikipedia.org/wiki/%E1%8E%A4%E1%8F%9C%E1%8F%85%E1%8F%9B_%E1%8E%A4%E1%8F%9E%E1%8F%B4%E1%8F%8D%E1%8F%9B" title="ᎤᏜᏅᏛ ᎤᏞᏴᏍᏛ – cherokesiska" lang="chr" hreflang="chr" data-title="ᎤᏜᏅᏛ ᎤᏞᏴᏍᏛ" data-language-autonym="ᏣᎳᎩ" data-language-local-name="cherokesiska" class="interlanguage-link-target"><span>ᏣᎳᎩ</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/A%C3%A7%C4%B1" title="Açı – turkiska" lang="tr" hreflang="tr" data-title="Açı" data-language-autonym="Türkçe" data-language-local-name="turkiska" 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%9A%D1%83%D1%82" title="Кут – ukrainska" lang="uk" hreflang="uk" data-title="Кут" data-language-autonym="Українська" data-language-local-name="ukrainska" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-ur mw-list-item"><a href="https://ur.wikipedia.org/wiki/%D8%B2%D8%A7%D9%88%DB%8C%DB%81" title="زاویہ – urdu" lang="ur" hreflang="ur" data-title="زاویہ" data-language-autonym="اردو" data-language-local-name="urdu" class="interlanguage-link-target"><span>اردو</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/G%C3%B3c" title="Góc – vietnamesiska" lang="vi" hreflang="vi" data-title="Góc" data-language-autonym="Tiếng Việt" data-language-local-name="vietnamesiska" 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/%E8%A7%92" title="角 – litterär kineiska" lang="lzh" hreflang="lzh" data-title="角" data-language-autonym="文言" data-language-local-name="litterär kineiska" 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/Anggulo" title="Anggulo – waray" lang="war" hreflang="war" data-title="Anggulo" data-language-autonym="Winaray" data-language-local-name="waray" 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/%E8%A7%92" title="角 – wu" lang="wuu" hreflang="wuu" data-title="角" data-language-autonym="吴语" data-language-local-name="wu" 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%95%D7%95%D7%99%D7%A0%D7%A7%D7%9C" title="ווינקל – jiddisch" lang="yi" hreflang="yi" data-title="ווינקל" data-language-autonym="ייִדיש" data-language-local-name="jiddisch" 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/%E8%A7%92_(%E5%B9%BE%E4%BD%95)" title="角 (幾何) – kantonesiska" lang="yue" hreflang="yue" data-title="角 (幾何)" data-language-autonym="粵語" data-language-local-name="kantonesiska" class="interlanguage-link-target"><span>粵語</span></a></li><li class="interlanguage-link interwiki-bat-smg mw-list-item"><a href="https://bat-smg.wikipedia.org/wiki/Komps" title="Komps – samogitiska" lang="sgs" hreflang="sgs" data-title="Komps" data-language-autonym="Žemaitėška" data-language-local-name="samogitiska" class="interlanguage-link-target"><span>Žemaitėška</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E8%A7%92" title="角 – kinesiska" lang="zh" hreflang="zh" data-title="角" data-language-autonym="中文" data-language-local-name="kinesiska" 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/Q11352#sitelinks-wikipedia" title="Redigera interwikilänkar" class="wbc-editpage">Redigera länkar</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div id="left-navigation"> <nav aria-label="Namnrymder"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-associated-pages" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-nstab-main" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/Vinkel" title="Visa innehållssidan [c]" accesskey="c"><span>Artikel</span></a></li><li id="ca-talk" class="vector-tab-noicon mw-list-item"><a href="/wiki/Diskussion:Vinkel" rel="discussion" title="Diskussion om innehållssidan [t]" accesskey="t"><span>Diskussion</span></a></li> </ul> </div> </div> <div id="vector-variants-dropdown" class="vector-dropdown emptyPortlet" > <input type="checkbox" id="vector-variants-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-variants-dropdown" class="vector-dropdown-checkbox " aria-label="Ändra språkvariant" > <label id="vector-variants-dropdown-label" for="vector-variants-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">svenska</span> </label> <div class="vector-dropdown-content"> <div id="p-variants" class="vector-menu mw-portlet mw-portlet-variants emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> </div> </div> </nav> </div> <div id="right-navigation" class="vector-collapsible"> <nav aria-label="Visningar"> <div id="p-views" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-views" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-view" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/Vinkel"><span>Läs</span></a></li><li id="ca-ve-edit" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Vinkel&veaction=edit" title="Redigera denna sida [v]" accesskey="v"><span>Redigera</span></a></li><li id="ca-edit" class="collapsible vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Vinkel&action=edit" title="Redigera wikitexten för den här sidan [e]" accesskey="e"><span>Redigera wikitext</span></a></li><li id="ca-history" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Vinkel&action=history" title="Tidigare versioner av sidan [h]" accesskey="h"><span>Visa historik</span></a></li> </ul> </div> </div> </nav> <nav class="vector-page-tools-landmark" aria-label="Sidverktyg"> <div id="vector-page-tools-dropdown" class="vector-dropdown vector-page-tools-dropdown" > <input type="checkbox" id="vector-page-tools-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-tools-dropdown" class="vector-dropdown-checkbox " aria-label="Verktyg" > <label id="vector-page-tools-dropdown-label" for="vector-page-tools-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">Verktyg</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-tools-unpinned-container" class="vector-unpinned-container"> <div id="vector-page-tools" class="vector-page-tools vector-pinnable-element"> <div class="vector-pinnable-header vector-page-tools-pinnable-header vector-pinnable-header-unpinned" data-feature-name="page-tools-pinned" data-pinnable-element-id="vector-page-tools" data-pinned-container-id="vector-page-tools-pinned-container" data-unpinned-container-id="vector-page-tools-unpinned-container" > <div class="vector-pinnable-header-label">Verktyg</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-page-tools.pin">flytta till sidofältet</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-page-tools.unpin">dölj</button> </div> <div id="p-cactions" class="vector-menu mw-portlet mw-portlet-cactions emptyPortlet vector-has-collapsible-items" title="Fler alternativ" > <div class="vector-menu-heading"> Åtgärder </div> <div 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<button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">dölj</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">Från Wikipedia</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="sv" dir="ltr"><div class="noexcerpt noprint hanvisning_bas hatnote"> <dl><dd><i>För det journalistiska begreppet, se <a href="/wiki/Vinkel_(journalistik)" title="Vinkel (journalistik)">Vinkel (journalistik)</a>.  </i></dd></dl></div> <p>En <b>vinkel</b> eller ett <b>vinkelområde</b> är ett område av ett <a href="/wiki/Plan_(geometri)" title="Plan (geometri)">plan</a>, begränsat av två <a href="/wiki/Str%C3%A5le_(matematik)" title="Stråle (matematik)">strålar</a>, det vill säga delar av <a href="/wiki/R%C3%A4t_linje" title="Rät linje">räta linjer</a> som skär varandra i en punkt.<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-reference-link-bracket">[</span>1<span class="cite-reference-link-bracket">]</span></a></sup> Strålarna utgör vinkelområdets <a href="/wiki/Rand_(geometri)" class="mw-redirect" title="Rand (geometri)">rand</a>, och kallas för vinkelns <a href="/w/index.php?title=Vinkelben&action=edit&redlink=1" class="new" title="Vinkelben [inte skriven än]">ben</a>. Skärningspunkten (och ändpunkten för strålarna) kallas för <a href="/w/index.php?title=Vinkelspets&action=edit&redlink=1" class="new" title="Vinkelspets [inte skriven än]">vinkelspets</a>. Normalt markeras en vinkel med en vinkelbåge. Vinkelbegreppet används inom <a href="/wiki/Trigonometri" title="Trigonometri">trigonometri</a> och <a href="/wiki/Geometri" title="Geometri">geometri</a>. </p><p>För att mäta vinklar ritas en cirkelbåge med centrum i vinkelspetsen. <a href="/wiki/Radian" title="Radian">Radianmåttet</a> för vinkeln är längden av bågen mellan vinkelbenen dividerad med cirkelns radie. Vanligen uttrycks dock vinkeln i <a href="/wiki/Grad_(vinkelenhet)" title="Grad (vinkelenhet)">grader</a> </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 \theta ({\text{radianer}})={\frac {\text{båglängd}}{\text{radien}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>θ</mi> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <mtext>radianer</mtext> </mrow> <mo stretchy="false">)</mo> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mtext>båglängd</mtext> <mtext>radien</mtext> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \theta ({\text{radianer}})={\frac {\text{båglängd}}{\text{radien}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/04b0d8f79a420f32e62c5848f0b89f9b7e82a92f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:24.929ex; height:6.509ex;" alt="{\displaystyle \theta ({\text{radianer}})={\frac {\text{båglängd}}{\text{radien}}}}" /></span></dd></dl> <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 \theta ({\text{grader}})={\frac {\text{båglängd}}{\text{omkretsen}}}\cdot 360}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>θ</mi> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <mtext>grader</mtext> </mrow> <mo stretchy="false">)</mo> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mtext>båglängd</mtext> <mtext>omkretsen</mtext> </mfrac> </mrow> <mo>⋅</mo> <mn>360</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \theta ({\text{grader}})={\frac {\text{båglängd}}{\text{omkretsen}}}\cdot 360}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7262f4a01436b89075a25221f0d3b72007baa308" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:28.89ex; height:6.509ex;" alt="{\displaystyle \theta ({\text{grader}})={\frac {\text{båglängd}}{\text{omkretsen}}}\cdot 360}" /></span></dd></dl> <p>Symbolen för enheten <a href="/wiki/Grad_(vinkelenhet)" title="Grad (vinkelenhet)">grad</a> är en lite upphöjd cirkel (°). </p><p>Ibland, men inte så ofta, förekommer gradmåttet <a href="/wiki/Gon_(vinkelenhet)" class="mw-redirect" title="Gon (vinkelenhet)">gon</a> (nygrader). </p><p>I militära sammanhang har man använt vinkelmåttet <b><a href="/wiki/Streck_(vinkelenhet)" title="Streck (vinkelenhet)">streck</a></b> (betecknas med en apostrof:'), utgående från att en meters sidoförskjutning på 1000 meters håll är ett streck. Av praktiska skäl avrundas 2<a href="/wiki/Pi" title="Pi">π</a>·1000 till 6300, och det går då 6300' på ett varv. Den avrundningen gjordes tidigare i Sverige, i andra länder förekommer det andra praktiska avrundningar till bland annat 6000 eller 6400 streck på ett varv. Det senare används numera i Sverige under beteckningen mils. </p> <table class="wikitable"> <tbody><tr> <th>Namn</th> <th><a href="/wiki/Varv_(vinkelenhet)" title="Varv (vinkelenhet)">Varv</a></th> <th><a href="/wiki/Grad_(vinkelenhet)" title="Grad (vinkelenhet)">Grader</a></th> <th><a href="/wiki/Radian" title="Radian">Radianer</a></th> <th><a href="/wiki/Gon" title="Gon">Gon</a> (nygrader)</th> <th><a href="/wiki/B%C3%A5gminut" title="Bågminut">Bågminuter</a></th> <th><a href="/wiki/B%C3%A5gsekund" title="Bågsekund">Bågsekunder</a> </th></tr> <tr> <td><a href="/wiki/Spetsig_vinkel" title="Spetsig vinkel">Spetsig</a></td> <td>(0,<span class="frac nowrap"><sup>1</sup>⁄<sub>4</sub></span>)</td> <td>(0,90)°</td> <td>(0,<span class="frac nowrap"><sup>1</sup>⁄<sub>2</sub></span>π)</td> <td>(0,100)<sup>g</sup></td> <td>(0;1,5)′</td> <td>(0,1575)' </td></tr> <tr> <td><a href="/wiki/R%C3%A4t_vinkel" title="Rät vinkel">Rät</a></td> <td><span class="frac nowrap"><sup>1</sup>⁄<sub>4</sub></span></td> <td>90°</td> <td><span class="frac nowrap"><sup>1</sup>⁄<sub>2</sub></span>π</td> <td>100<sup>g</sup></td> <td>1,5′</td> <td>1575' </td></tr> <tr> <td><a href="/wiki/Trubbig_vinkel" title="Trubbig vinkel">Trubbig</a></td> <td>(<span class="frac nowrap"><sup>1</sup>⁄<sub>4</sub></span>,<span class="frac nowrap"><sup>1</sup>⁄<sub>2</sub></span>)</td> <td>(90,180)°</td> <td>(<span class="frac nowrap"><sup>1</sup>⁄<sub>2</sub></span>π,π)</td> <td>(100,200)<sup>g</sup></td> <td>(1,5;3)′</td> <td>(1575,3150)' </td></tr> <tr> <td><a href="/wiki/Rak_vinkel" title="Rak vinkel">Rak</a></td> <td><span class="frac nowrap"><sup>1</sup>⁄<sub>2</sub></span></td> <td>180°</td> <td>π</td> <td>200<sup>g</sup></td> <td>3′</td> <td>3150' </td></tr> <tr> <td><a href="/wiki/Reflexvinkel" title="Reflexvinkel">Reflex</a></td> <td>(<span class="frac nowrap"><sup>1</sup>⁄<sub>2</sub></span>,1)</td> <td>(180,360)°</td> <td>(π,2π)</td> <td>(200,400)<sup>g</sup></td> <td>(3,6)′</td> <td>(3150,6300)' </td></tr> <tr> <td><a href="/wiki/Perigon" title="Perigon">Perigon</a></td> <td>1</td> <td>360°</td> <td>2π</td> <td>400<sup>g</sup></td> <td>6′</td> <td>6300' </td></tr></tbody></table> <p>En <a href="/wiki/Normalvektor" title="Normalvektor">normal</a> är en linje som skär en given linje eller kurva i rät vinkel. "Rätvinklig mot" betecknas ⊥ (se figur 1). </p> <div> <p><span typeof="mw:File"><a href="/wiki/Fil:Right_angle.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/6/6c/Right_angle.svg/100px-Right_angle.svg.png" decoding="async" width="100" height="100" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/6c/Right_angle.svg/150px-Right_angle.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/6c/Right_angle.svg/200px-Right_angle.svg.png 2x" data-file-width="800" data-file-height="800" /></a></span> </p> <dl><dd><i>Figur 1. Två vinkelräta linjer.<br />Den ena är </i>normal<i> till den andra.</i></dd></dl> </div> <div> <p><span class="mw-default-size" typeof="mw:File"><a href="/wiki/Fil:Vinkel2.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/4/43/Vinkel2.png" decoding="async" width="156" height="115" class="mw-file-element" data-file-width="156" data-file-height="115" /></a></span> </p> <dl><dd><i>Figur 2. <br />A: Cirkelsektor <br />B: Cirkelbåge</i></dd></dl> </div> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Cirkeln">Cirkeln</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Vinkel&veaction=edit&section=1" title="Redigera avsnitt: Cirkeln" class="mw-editsection-visualeditor"><span>redigera</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Vinkel&action=edit&section=1" title="Redigera avsnitts källkod: Cirkeln"><span>redigera wikitext</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>En <b>grad</b> (förtydligat <a href="/wiki/Vinkelgrad" class="mw-redirect" title="Vinkelgrad">vinkelgrad</a>), vanligtvis betecknad med °, är ett mått på plana vinklar eller en position på en <a href="/wiki/Storcirkel" title="Storcirkel">storcirkel</a> (en <a href="/wiki/Cirkel" title="Cirkel">cirkel</a> på en <a href="/wiki/Sf%C3%A4r" title="Sfär">sfär</a> med mittpunkt som sammanfaller med sfärens mittpunkt) i en <a href="/wiki/Sf%C3%A4r" title="Sfär">sfär</a>, ex. <a href="/wiki/Jorden" title="Jorden">jorden</a> el. planetrörelser runt andra himlakroppar. En grad motsvarar 1/360 dels varv runt cirkelns – eller sfärens – <a href="/wiki/Omkrets" title="Omkrets">omkrets</a> (jfr <a href="/wiki/Jordens_koordinatsystem" class="mw-redirect" title="Jordens koordinatsystem">jordens koordinatsystem</a>). </p> <ul><li>1° motsvarar 1/360 varv runt periferin</li> <li><b>minuter</b>, betecknas med ett <a href="/wiki/Primtecken" title="Primtecken">primtecken</a> (′), 1 minuter = (1/60)° = 1/21 600 varv,</li> <li><b>sekunder</b>, betecknas med <a href="/wiki/Dubbelprimtecken" title="Dubbelprimtecken">dubbla primtecken</a> (″), 1 sekund = 1/60 minut = 1/1 296 000 varv.</li></ul> <p>Ex. motsvarar 40°12′13″ 40 grader, 12 minuter och 13 sekunder, eller ungefär 11/100 varv runt jorden. </p><p>I matematiska och tekniska sammanhang används ofta <a href="/wiki/Radian" title="Radian">radianer</a>. En grad motsvarar π/180 rad, och ett varv runt cirkel motsvarar 2π radianer. </p><p>Ett modernt vinkelmått anpassat efter decimala systemet är <a href="/wiki/Nygrad" class="mw-redirect" title="Nygrad">nygrader</a>. 1 nygrad motsvarar 1/400 varv runt periferin: </p> <ul><li>90° motsvarar 100 nygrader (100<sup>g</sup>),</li> <li>1<sup>g</sup> indelas i 100 nyminuter (100<sup>c</sup>),</li> <li>1<sup>c</sup> indelas i 100 nysekunder (100<sup>cc</sup>).</li></ul> <div class="mw-heading mw-heading2"><h2 id="Annat_som_mäts_i_vinkelenheter"><span id="Annat_som_m.C3.A4ts_i_vinkelenheter"></span>Annat som mäts i vinkelenheter</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Vinkel&veaction=edit&section=2" title="Redigera avsnitt: Annat som mäts i vinkelenheter" class="mw-editsection-visualeditor"><span>redigera</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Vinkel&action=edit&section=2" title="Redigera avsnitts källkod: Annat som mäts i vinkelenheter"><span>redigera wikitext</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Vinklar är alltid mellan 0 och 360, men gradtal större än 360° och negativa värden är tänkbara i andra sammanhang: </p> <ul><li>Vinkel - se ovan</li> <li>Riktning: <ul><li>Kompassriktning (bäring) anges som grader för den vinkel som bildas räknat medurs från nordriktningen. Öster=90°, söder=180°, väster=270° och norr=360° eller 0°.</li> <li>Numrering av flygets start- och landningsbanor består av kompassriktningen avrundad till närmaste tiotals grader. En bana i öst-västlig riktning har då numret 09 vid start mot öster och 27 vid start mot väster.</li> <li>I ett polärt koordinatsystem räknas riktningen moturs från positiva första axeln (oftast <i>x</i>-axeln). I dessa fall kan man tänka sig riktningar i olika intervall såsom 0°<v<360°, -90°<v<270° eller -180°<v<180°.</li></ul></li> <li>Vridning. Här kan vilka som helst värden tänkas. En vridning på 450° resulterar i samma riktning som en vridning på 90°, men först efter ett helt varvs vridning. (Alltså den vridning som minutvisaren på en klocka gör på 75 minuter.)</li> <li>Växelström. Fasförskjutning mellan sinusformade elektriska signaler. Två tidsförskjutna spänningar tecknas <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 U_{1}(sin\ \omega t)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>U</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo stretchy="false">(</mo> <mi>s</mi> <mi>i</mi> <mi>n</mi> <mtext> </mtext> <mi>ω</mi> <mi>t</mi> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle U_{1}(sin\ \omega t)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/65d3e3313d8a6bf3cb1126a6b9a80d7619a3581b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:10.605ex; height:2.843ex;" alt="{\displaystyle U_{1}(sin\ \omega t)}" /></span> och <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 U_{2}(sin\ \omega t+\phi )}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>U</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo stretchy="false">(</mo> <mi>s</mi> <mi>i</mi> <mi>n</mi> <mtext> </mtext> <mi>ω</mi> <mi>t</mi> <mo>+</mo> <mi>ϕ</mi> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle U_{2}(sin\ \omega t+\phi )}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0e9a8447fab4b8107db4108c7d46f6799d1dfe72" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:14.831ex; height:2.843ex;" alt="{\displaystyle U_{2}(sin\ \omega t+\phi )}" /></span>. Vinkelfrekvensen är <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 \omega =2\pi f}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>ω</mi> <mo>=</mo> <mn>2</mn> <mi>π</mi> <mi>f</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \omega =2\pi f}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7a1bf35d395c2d52391265e4bbda0aed14f52579" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:8.317ex; height:2.509ex;" alt="{\displaystyle \omega =2\pi f}" /></span>, där <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle f}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>f</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle f}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/132e57acb643253e7810ee9702d9581f159a1c61" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.279ex; height:2.509ex;" alt="{\displaystyle f}" /></span> är frekvensen i Hertz. Fasskillnaden <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 \phi }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>ϕ</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \phi }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/72b1f30316670aee6270a28334bdf4f5072cdde4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.385ex; height:2.509ex;" alt="{\displaystyle \phi }" /></span> uttrycks i grader eller radianer. Förskjutningen mellan signalerna kan även uttryckas som en tid <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 \nabla t=\phi /\omega }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi mathvariant="normal">∇</mi> <mi>t</mi> <mo>=</mo> <mi>ϕ</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <mi>ω</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \nabla t=\phi /\omega }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a1ba765d7d605126244fe719f2253dd602d477f2" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:9.868ex; height:2.843ex;" alt="{\displaystyle \nabla t=\phi /\omega }" /></span>.</li></ul> <div class="mw-heading mw-heading2"><h2 id="Konvertering_mellan_vinkelenheter">Konvertering mellan vinkelenheter</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Vinkel&veaction=edit&section=3" title="Redigera avsnitt: Konvertering mellan vinkelenheter" class="mw-editsection-visualeditor"><span>redigera</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Vinkel&action=edit&section=3" title="Redigera avsnitts källkod: Konvertering mellan vinkelenheter"><span>redigera wikitext</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>För att konvertera en vinkel från en enhet till en annan använder man enklast tumregeln <i>tillenhet genom frånenhet</i>. Till exempel blir det för omvandling från gon till grader: </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 grader=gon\cdot {\frac {360}{400}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>g</mi> <mi>r</mi> <mi>a</mi> <mi>d</mi> <mi>e</mi> <mi>r</mi> <mo>=</mo> <mi>g</mi> <mi>o</mi> <mi>n</mi> <mo>⋅</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>360</mn> <mn>400</mn> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle grader=gon\cdot {\frac {360}{400}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1f101e7b52cd5a0c90cb0ee78dd81b9e502e4fee" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:19.482ex; height:5.343ex;" alt="{\displaystyle grader=gon\cdot {\frac {360}{400}}}" /></span></dd></dl> <div class="mw-heading mw-heading2"><h2 id="Vinkelmåttens_historia"><span id="Vinkelm.C3.A5ttens_historia"></span>Vinkelmåttens historia</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Vinkel&veaction=edit&section=4" title="Redigera avsnitt: Vinkelmåttens historia" class="mw-editsection-visualeditor"><span>redigera</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Vinkel&action=edit&section=4" title="Redigera avsnitts källkod: Vinkelmåttens historia"><span>redigera wikitext</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Gradmåttet där varvet delas in i 360 grader härstammar från det <a href="/w/index.php?title=Babyloniska_r%C3%A4knesystemet&action=edit&redlink=1" class="new" title="Babyloniska räknesystemet [inte skriven än]">babyloniska räknesystemet</a>, där <a href="/wiki/Talbas" title="Talbas">talbasen</a> var 60. Inte oväsentligt i sammanhanget är att ett år är drygt 360 dagar långt. </p><p>När <a href="/wiki/Matematisk_analys" title="Matematisk analys">matematisk analys</a> utvecklades på <a href="/wiki/1600" title="1600">1600</a>-talet, sökte man efter ett för differentialkalkylen lämpligare universellt mått, och införde <a href="/wiki/Radian" title="Radian">radianbegreppet</a>. </p><p>I <a href="/wiki/Decimalsystem" title="Decimalsystem">decimalsystemets</a> anda införde man på 1800-talet i Frankrike nygrader, eftersom 100 nygrader på ett kvartsvarv ser mer "naturligt" ut än 90 grader. Det underlättar vissa huvudräkningar (varje kvadrant har sin hundratalssiffra). Man slipper räknandet med sextiondedelar när man arbetar med bråkdelar av en grad. Nygrader har främst använts inom <a href="/wiki/Geodesi" title="Geodesi">geodesin</a>, men inom andra områden har enheten inte fått det genomslag som man en gång förväntade sig. </p><p>Det universella vinkelmåttet är <a href="/wiki/Radian" title="Radian">radianer</a> eftersom detta tar bort godtyckligheten i talet 360 inom gradsystemet och eftersom <a href="/wiki/Trigonometrisk_funktion" title="Trigonometrisk funktion">trigonometriska funktioner</a> kan deriveras enkelt samt därmed uttryckas med enkla <a href="/wiki/Taylorserie" title="Taylorserie">taylorserier</a> om deras argument är specificerat i radianer. <a href="/wiki/Internationella_m%C3%A5ttenhetssystemet" title="Internationella måttenhetssystemet">Internationella måttenhetssystemet</a> (SI) använder <a href="/wiki/Radian" title="Radian">radianer</a> som (den härledda) enheten för vinklar. </p> <div class="mw-heading mw-heading2"><h2 id="Typer_av_vinklar">Typer av vinklar</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Vinkel&veaction=edit&section=5" title="Redigera avsnitt: Typer av vinklar" class="mw-editsection-visualeditor"><span>redigera</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Vinkel&action=edit&section=5" title="Redigera avsnitts källkod: Typer av vinklar"><span>redigera wikitext</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li>En vinkel som är mindre än en rät vinkel (90°) kallas <b>spetsig vinklel</b>.</li> <li>En vinkel som är större än en rät vinkel (90°), men mindre än rak vinkel (180°), kallas <b>trubbig vinklel</b>.</li> <li>Om summan av två vinklar är en rät vinkel (90°) brukar vinklarna kallas <b>komplementvinklar</b>.</li> <li>Om summan av två vinklar är en rak vinkel (180°) brukar vinklarna kallas <b>supplementvinklar</b>.</li> <li>Om summan av två vinklar är 360° brukar vinklarna kallas <b>explementvinklar</b>.</li></ul> <p>Den linje, som skär två eller flera andra linjer, kallas <b>transversal (tvärlinje) till linjerna</b>. I varje skärningspunkt bildas fyra vinklar. </p> <ul><li>Två <a href="/wiki/R%C3%A4t_linje" title="Rät linje">räta linjer</a> som korsar varandra bildar fyra vinklar. Varje vinkel är likadan som motstående <b>vertikalvinkel</b> (se figur 2a), medan de övriga paren kallas <b>sidovinklar</b> och är supplementvinklar (se ovan).</li> <li>Om en rät linje korsar två <a href="/wiki/Parallell_(matematik)" title="Parallell (matematik)">parallella</a> linjer bildas fler relationer. <b>Likbelägna vinklar</b> är lika stora, liksom <b>alternatvinklar</b>. Alternatvinklar är de vinklar som i figuren är vertikalvinklar till de markerade (se figur 2b), dvs. de ligger mellan de parallella linjerna men på var sin sida om den skärande linjen.</li> <li>Summan av en <a href="/wiki/Triangel" title="Triangel">triangels</a> (inre tre) vinklar bildar beloppet 180°.</li> <li>Summan av en <a href="/wiki/Fyrh%C3%B6rning" title="Fyrhörning">fyrhörnings</a> (inre fyra) vinklar bildar beloppet 360°</li> <li>Summan av en <i>n</i>-sidig <a href="/wiki/Polygon" title="Polygon">polygons</a> (inre <i>n</i>) vinklar bildar beloppet (<i>n</i> - 2)·180° eller (<i>n</i> - 2)·π rad.</li></ul> <div> <p><span typeof="mw:File"><a href="/wiki/Fil:Vertical_angles.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/8/82/Vertical_angles.png/120px-Vertical_angles.png" decoding="async" width="113" height="85" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/82/Vertical_angles.png/250px-Vertical_angles.png 1.5x" data-file-width="628" data-file-height="470" /></a></span> </p> <dl><dd><i>Figur 2a. Två räta linjer som korsar varandra i en gemensam punkt.</i></dd></dl> <div> <div> <p><span typeof="mw:File"><a href="/wiki/Fil:Corresponding_angles.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/b/b2/Corresponding_angles.png/113px-Corresponding_angles.png" decoding="async" width="113" height="85" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/b2/Corresponding_angles.png/170px-Corresponding_angles.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/b2/Corresponding_angles.png/226px-Corresponding_angles.png 2x" data-file-width="628" data-file-height="470" /></a></span> </p> <dl><dd><i>Figur 2b. Tre räta linjer som sammanfaller i två punkter.</i></dd></dl> </div> <div class="mw-heading mw-heading2"><h2 id="Källor"><span id="K.C3.A4llor"></span>Källor</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Vinkel&veaction=edit&section=6" title="Redigera avsnitt: Källor" class="mw-editsection-visualeditor"><span>redigera</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Vinkel&action=edit&section=6" title="Redigera avsnitts källkod: Källor"><span>redigera wikitext</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-1"><a href="#cite_ref-1">^</a> <span class="reference-text"><cite style="font-style:normal" class="" id="CITEREFSidorov2001">Sidorov, L.A. (2001), <a rel="nofollow" class="external text" href="http://www.encyclopediaofmath.org/index.php?title=Angle&oldid=13323">”Angle”</a>, i Hazewinkel, Michiel, <i><span><a href="/w/index.php?title=Encyclopedia_of_Mathematics&action=edit&redlink=1" class="new" title="Encyclopedia of Mathematics [inte skriven än]">Encyclopedia of Mathematics</a></span></i>, Springer, <a href="/wiki/Special:Bokk%C3%A4llor/978-1556080104" title="Special:Bokkällor/978-1556080104">ISBN 978-1556080104</a></cite><span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.btitle=Angle&rft.atitle=%5B%5BEncyclopedia+of+Mathematics%5D%5D&rft.aulast=Sidorov&rft.aufirst=L.A.&rft.au=Sidorov%2C+L.A.&rft.date=2001&rft.pub=Springer&rft.isbn=978-1556080104&rfr_id=info:sid/en.wikipedia.org:Vinkel"><span style="display: none;"> </span></span></span> </li> </ol></div> <div class="mw-heading mw-heading2"><h2 id="Externa_länkar"><span id="Externa_l.C3.A4nkar"></span>Externa länkar</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Vinkel&veaction=edit&section=7" title="Redigera avsnitt: Externa länkar" class="mw-editsection-visualeditor"><span>redigera</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Vinkel&action=edit&section=7" title="Redigera avsnitts källkod: Externa länkar"><span>redigera wikitext</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><span typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/thumb/f/f9/Wiktionary_small.svg/15px-Wiktionary_small.svg.png" decoding="async" width="15" height="15" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/f9/Wiktionary_small.svg/23px-Wiktionary_small.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/f9/Wiktionary_small.svg/30px-Wiktionary_small.svg.png 2x" data-file-width="350" data-file-height="350" /></span></span> Wiktionary har ett uppslag om <a href="https://sv.wiktionary.org/wiki/vinkel" class="extiw" title="wikt:vinkel">vinkel</a>.<div class="interProject wiktionary" style="display:none;"><a href="https://sv.wiktionary.org/wiki/vinkel" class="extiw" title="wikt:vinkel">Ordbok</a></div></li> <li><span typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4c/Wikisource-logo.svg/15px-Wikisource-logo.svg.png" decoding="async" width="15" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4c/Wikisource-logo.svg/23px-Wikisource-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4c/Wikisource-logo.svg/30px-Wikisource-logo.svg.png 2x" data-file-width="410" data-file-height="430" /></span></span> Wikisource har originalverk som rör <a href="https://sv.wikisource.org/wiki/en:1911_Encyclop%C3%A6dia_Britannica/Angle" class="extiw" title="src:en:1911 Encyclopædia Britannica/Angle">Vinkel</a>. <div class="interProject wikisource" style="display:none;"><a href="https://sv.wikisource.org/wiki/en:1911_Encyclop%C3%A6dia_Britannica/Angle" class="extiw" title="src:en:1911 Encyclopædia Britannica/Angle">Vinkel</a></div></li> <li><span typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/15px-Commons-logo.svg.png" decoding="async" width="15" height="20" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/23px-Commons-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/30px-Commons-logo.svg.png 2x" data-file-width="1024" data-file-height="1376" /></span></span> Wikimedia Commons har media som rör <a href="https://commons.wikimedia.org/wiki/Category:Angles_(geometry)" class="extiw" title="commons:Category:Angles (geometry)">vinkel</a>.</li></ul> <style data-mw-deduplicate="TemplateStyles:r44690948">.mw-parser-output .hlist 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class="navbox-title"><div style="float:left; width:3em;text-align:left;"><div class="noprint plainlinks" style="background-color:transparent; padding:0; white-space:nowrap; font-weight:normal; font-size:80%; border:none;; color: inherit;"><a href="/wiki/Mall:SI" title="Mall:SI"><span title="Visa denna mall" style="border:none;;">v</span></a> <span style="font-size:80%;">•</span> <a class="external text" href="https://sv.wikipedia.org/w/index.php?title=Mall:SI&action=edit"><span style="border:none;;" title="Redigera den här mallen">r</span></a></div></div><span style="font-size:110%;"><a href="/wiki/Internationella_m%C3%A5ttenhetssystemet" title="Internationella måttenhetssystemet">Internationella måttenhetssystemet</a> (SI)</span></th></tr><tr style="height:2px;"><td></td></tr><tr><td class="navbox-group" style=";;"><a href="/wiki/SI-enhet#Grundenheter" title="SI-enhet">Grundenheter</a></td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-odd"><div style="padding:0em 0.25em"><div> <ul><li><span style="white-space:nowrap"><a href="/wiki/Elektrisk_str%C3%B6m" title="Elektrisk ström">Elektrisk ström</a>: <a href="/wiki/Ampere" title="Ampere">ampere</a> (A)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Ljusstyrka" title="Ljusstyrka">Ljusstyrka</a>: <a href="/wiki/Candela" title="Candela">candela</a> (cd)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/L%C3%A4ngd" title="Längd">Längd</a>: <a href="/wiki/Meter" title="Meter">meter</a> (m)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Massa" title="Massa">Massa</a>: <a href="/wiki/Kilogram" title="Kilogram">kilogram</a> (kg)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Substansm%C3%A4ngd" title="Substansmängd">Substansmängd</a>: <a href="/wiki/Mol" title="Mol">mol</a> (mol)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Temperatur" title="Temperatur">Temperatur</a>: <a href="/wiki/Kelvin" title="Kelvin">kelvin</a> (K)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Tid" title="Tid">Tid</a>: <a href="/wiki/Sekund" title="Sekund">sekund</a> (s)</span></li></ul> </div></div></td><td style="width:0%;padding:0px 0px 0px 2px;" rowspan="5"><span typeof="mw:File"><a href="/wiki/Fil:SI_base_units.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/3/38/SI_base_units.svg/100px-SI_base_units.svg.png" decoding="async" width="100" height="100" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/38/SI_base_units.svg/150px-SI_base_units.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/38/SI_base_units.svg/200px-SI_base_units.svg.png 2x" data-file-width="600" data-file-height="600" /></a></span></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";;"><a href="/wiki/SI-enhet#Härledda_enheter" title="SI-enhet">Härledda enheter</a></td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-even"><div style="padding:0em 0.25em"><div> <ul><li><span style="white-space:nowrap"><a href="/wiki/Effekt" title="Effekt">Effekt</a>: <a href="/wiki/Watt" title="Watt">watt</a> (W)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Elektrisk_laddning" title="Elektrisk laddning">Elektrisk laddning</a>: <a href="/wiki/Coulomb" title="Coulomb">coulomb</a> (C)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Elektrisk_sp%C3%A4nning" title="Elektrisk spänning">Elektrisk spänning</a>: <a href="/wiki/Volt" title="Volt">volt</a> (V)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Energi" title="Energi">Energi</a>: <a href="/wiki/Joule" title="Joule">joule</a> (J)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Frekvens" title="Frekvens">Frekvens</a>: <a href="/wiki/Hertz" title="Hertz">hertz</a> (Hz)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Illuminans" title="Illuminans">Illuminans</a>: <a href="/wiki/Lux_(enhet)" title="Lux (enhet)">lux</a> (lx)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Induktans" title="Induktans">Induktans</a>: <a href="/wiki/Henry_(enhet)" title="Henry (enhet)">henry</a> (H)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Kapacitans" title="Kapacitans">Kapacitans</a>: <a href="/wiki/Farad" title="Farad">farad</a> (F)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Katalys" title="Katalys">Katalytisk aktivitet</a>: <a href="/wiki/Katal" title="Katal">katal</a> (kat)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Konduktans" title="Konduktans">Konduktans</a>: <a href="/wiki/Siemens_(enhet)" title="Siemens (enhet)">siemens</a> (S)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Kraft" title="Kraft">Kraft</a>: <a href="/wiki/Newton_(enhet)" title="Newton (enhet)">newton</a> (N)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Ljusfl%C3%B6de" title="Ljusflöde">Ljusflöde</a>: <a href="/wiki/Lumen_(enhet)" title="Lumen (enhet)">lumen</a> (lm)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Magnetiskt_fl%C3%B6de" class="mw-redirect" title="Magnetiskt flöde">Magnetiskt flöde</a>: <a href="/wiki/Weber_(enhet)" title="Weber (enhet)">weber</a> (Wb)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Magnetisk_fl%C3%B6dest%C3%A4thet" class="mw-redirect" title="Magnetisk flödestäthet">Magnetisk flödestäthet</a>: <a href="/wiki/Tesla_(enhet)" title="Tesla (enhet)">tesla</a> (T)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Mekanisk_sp%C3%A4nning" title="Mekanisk spänning">Mekanisk spänning</a> och <a href="/wiki/Tryck" title="Tryck">tryck</a>: <a href="/wiki/Pascal_(enhet)" title="Pascal (enhet)">pascal</a> (Pa)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Resistans" title="Resistans">Resistans</a>: <a href="/wiki/Ohm" title="Ohm">ohm</a> (Ω)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Rymdvinkel" title="Rymdvinkel">Rymdvinkel</a>: <a href="/wiki/Steradian" title="Steradian">steradian</a> (sr)</span></li> <li><span style="white-space:nowrap"><a class="mw-selflink selflink">Vinkel</a>: <a href="/wiki/Radian" title="Radian">radian</a> (rad)</span></li></ul> </div></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";;"><a href="/wiki/SI-prefix" title="SI-prefix">SI-prefix</a></td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-odd"><div style="padding:0em 0.25em"><div> <ul><li><span style="white-space:nowrap"><a href="/wiki/Quetta_(SI-prefix)" title="Quetta (SI-prefix)">Quetta</a> (Q)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Ronna_(SI-prefix)" title="Ronna (SI-prefix)">Ronna</a> (R)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Yotta" title="Yotta">Yotta</a> (Y)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Zetta" title="Zetta">Zetta</a> (Z)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Exa" title="Exa">Exa</a> (E)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Peta" title="Peta">Peta</a> (P)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Tera" title="Tera">Tera</a> (T)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Giga" title="Giga">Giga</a> (G)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Mega" title="Mega">Mega</a> (M)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Kilo" title="Kilo">Kilo</a> (k)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Hekto" title="Hekto">Hekto</a> (h)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Deka" title="Deka">Deka</a> (da)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Deci" title="Deci">Deci</a> (d)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Centi" title="Centi">Centi</a> (c)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Milli" title="Milli">Milli</a> (m)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Mikro" title="Mikro">Mikro</a> (µ)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Nano" title="Nano">Nano</a> (n)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Piko" title="Piko">Piko</a> (p)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Femto" title="Femto">Femto</a> (f)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Atto" title="Atto">Atto</a> (a)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Zepto" title="Zepto">Zepto</a> (z)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Yokto" title="Yokto">Yokto</a> (y)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Ronto" title="Ronto">Ronto</a> (r)</span></li> <li><span style="white-space:nowrap"><a href="/wiki/Quekto" title="Quekto">Quekto</a> (q)</span></li></ul> </div></div></td></tr></tbody></table></td></tr></tbody></table> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r56287950" /><table cellspacing="0" class="navbox" style="border-spacing:0;"><tbody><tr><td style="padding:2px;"><table cellspacing="0" class="nowraplinks hlist auktoritetsdata navbox-inner" style="border-spacing:0;background:transparent;color:inherit;"><tbody><tr><th scope="row" class="navbox-group"><a href="/wiki/Auktoritetsdata" title="Auktoritetsdata">Auktoritetsdata</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;"> • <a href="/wiki/Library_of_Congress_Control_Number" title="Library of Congress Control Number">LCCN</a>: <span 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class="vector-sticky-header-icons"> <a href="#" class="cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only" id="ca-talk-sticky-header" tabindex="-1" data-event-name="talk-sticky-header"><span class="vector-icon mw-ui-icon-speechBubbles mw-ui-icon-wikimedia-speechBubbles"></span> <span></span> </a> <a href="#" class="cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only" id="ca-subject-sticky-header" tabindex="-1" data-event-name="subject-sticky-header"><span class="vector-icon mw-ui-icon-article mw-ui-icon-wikimedia-article"></span> <span></span> </a> <a href="#" class="cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only" id="ca-history-sticky-header" tabindex="-1" data-event-name="history-sticky-header"><span class="vector-icon mw-ui-icon-wikimedia-history mw-ui-icon-wikimedia-wikimedia-history"></span> <span></span> </a> <a href="#" class="cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only mw-watchlink" id="ca-watchstar-sticky-header" tabindex="-1" data-event-name="watch-sticky-header"><span class="vector-icon mw-ui-icon-wikimedia-star mw-ui-icon-wikimedia-wikimedia-star"></span> <span></span> </a> <a href="#" class="cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only" id="ca-ve-edit-sticky-header" tabindex="-1" data-event-name="ve-edit-sticky-header"><span class="vector-icon mw-ui-icon-wikimedia-edit mw-ui-icon-wikimedia-wikimedia-edit"></span> <span></span> </a> <a href="#" class="cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only" id="ca-edit-sticky-header" tabindex="-1" data-event-name="wikitext-edit-sticky-header"><span class="vector-icon mw-ui-icon-wikimedia-wikiText mw-ui-icon-wikimedia-wikimedia-wikiText"></span> <span></span> </a> <a href="#" class="cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only" id="ca-viewsource-sticky-header" tabindex="-1" data-event-name="ve-edit-protected-sticky-header"><span class="vector-icon mw-ui-icon-wikimedia-editLock mw-ui-icon-wikimedia-wikimedia-editLock"></span> <span></span> </a> </div> <div class="vector-sticky-header-buttons"> <button class="cdx-button cdx-button--weight-quiet mw-interlanguage-selector" id="p-lang-btn-sticky-header" tabindex="-1" data-event-name="ui.dropdown-p-lang-btn-sticky-header"><span class="vector-icon mw-ui-icon-wikimedia-language mw-ui-icon-wikimedia-wikimedia-language"></span> <span>140 språk</span> </button> <a href="#" class="cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive" id="ca-addsection-sticky-header" tabindex="-1" data-event-name="addsection-sticky-header"><span class="vector-icon mw-ui-icon-speechBubbleAdd-progressive mw-ui-icon-wikimedia-speechBubbleAdd-progressive"></span> <span>Nytt ämne</span> </a> </div> <div class="vector-sticky-header-icon-end"> <div class="vector-user-links"> </div> </div> </div> </div> </div> <div class="mw-portlet mw-portlet-dock-bottom emptyPortlet" id="p-dock-bottom"> <ul> </ul> </div> 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