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Grad (Winkel) – Wikipedia

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margin-top:0; width:350px;" id="Vorlage_Infobox_Einheit" summary="Infobox Einheit"> <tbody><tr> <th colspan="2" style="background:#FFDEAD;"><a href="/wiki/Ma%C3%9Feinheit" title="Maßeinheit">Physikalische Einheit</a> </th></tr> <tr> <td style="min-width:7em;">Einheitenname</td> <td>Grad&#10; </td></tr> <tr> <td><a href="/wiki/Einheitenzeichen" title="Einheitenzeichen">Einheitenzeichen</a> </td> <td><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 \mathrm {^{\circ }} }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <msup> <mi></mi> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2218;<!-- ∘ --></mo> </mrow> </msup> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mathrm {^{\circ }} }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1a70534bcd282c5b50b7da91b32e4a416cf63731" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.171ex; width:1.054ex; height:2.176ex;" alt="{\displaystyle \mathrm {^{\circ }} }"></span>&#10; </td></tr> <tr> <td><a href="/wiki/Physikalische_Gr%C3%B6%C3%9Fe" title="Physikalische Größe">Physikalische Größe</a> </td> <td>Ebener <a href="/wiki/Winkel" title="Winkel">Winkel</a>&#10; </td></tr> <tr> <td><a href="/wiki/Formelzeichen" title="Formelzeichen">Formelzeichen</a> </td> <td><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 \alpha ,\beta ,\gamma ,\dots }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>&#x03B1;<!-- α --></mi> <mo>,</mo> <mi>&#x03B2;<!-- β --></mi> <mo>,</mo> <mi>&#x03B3;<!-- γ --></mi> <mo>,</mo> <mo>&#x2026;<!-- … --></mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \alpha ,\beta ,\gamma ,\dots }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/103d7baac0c8cc902585f063b564b3395e76dad7" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:9.907ex; height:2.676ex;" alt="{\displaystyle \alpha ,\beta ,\gamma ,\dots }"></span>&#10; </td></tr> <tr> <td><a href="/wiki/Dimension_(Gr%C3%B6%C3%9Fensystem)" title="Dimension (Größensystem)">Dimension</a> </td> <td><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 {\mathsf {{\frac {L}{L}}=1}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi mathvariant="sans-serif">L</mi> <mi mathvariant="sans-serif">L</mi> </mfrac> </mrow> <mo mathvariant="sans-serif">=</mo> <mn mathvariant="sans-serif">1</mn> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\mathsf {{\frac {L}{L}}=1}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a0e78be17889790b0d1c1caa87fd0745c4e814e0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:6.357ex; height:5.343ex;" alt="{\displaystyle {\mathsf {{\frac {L}{L}}=1}}}"></span>&#10; </td></tr> <tr> <td>System </td> <td><a href="/wiki/Gebr%C3%A4uchliche_Nicht-SI-Einheiten#Zur_Verwendung_mit_dem_SI_zugelassene_Einheiten" title="Gebräuchliche Nicht-SI-Einheiten">Zum Gebrauch mit dem SI zugelassen</a>&#10; </td></tr> <tr> <td>In <a href="/wiki/Internationales_Einheitensystem#SI-Einheiten" title="Internationales Einheitensystem">SI-Einheiten</a> </td> <td><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 \mathrm {1^{\circ }={\frac {\pi }{180}}\;rad\approx 0{,}017\,5\;rad} }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <msup> <mn>1</mn> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2218;<!-- ∘ --></mo> </mrow> </msup> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>&#x03C0;<!-- π --></mi> <mn>180</mn> </mfrac> </mrow> <mspace width="thickmathspace" /> <mi mathvariant="normal">r</mi> <mi mathvariant="normal">a</mi> <mi mathvariant="normal">d</mi> <mo>&#x2248;<!-- ≈ --></mo> <mn>0,017</mn> <mspace width="thinmathspace" /> <mn>5</mn> <mspace width="thickmathspace" /> <mi mathvariant="normal">r</mi> <mi mathvariant="normal">a</mi> <mi mathvariant="normal">d</mi> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mathrm {1^{\circ }={\frac {\pi }{180}}\;rad\approx 0{,}017\,5\;rad} }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/eba5a8d6261c813ce45d389e3a1dfe57b030569f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:27.607ex; height:4.676ex;" alt="{\displaystyle \mathrm {1^{\circ }={\frac {\pi }{180}}\;rad\approx 0{,}017\,5\;rad} }"></span>&#10; </td></tr> <tr> <td>Abgeleitet von </td> <td><a href="/wiki/Vollwinkel" title="Vollwinkel">Vollwinkel</a> </td></tr></tbody></table> <p>Der <b>Grad</b> (<a href="/wiki/Latein" title="Latein">lat.</a> <i><span lang="la">gradus</span></i> ‚Schritt‘, auch <b>Bogengrad</b>) ist ein <a href="/wiki/Winkelma%C3%9F" title="Winkelmaß">Winkelmaß</a>. Als <a href="/wiki/Einheitenzeichen" title="Einheitenzeichen">Einheitenzeichen</a> für den Grad wird ein hochgestellter kleiner Kreis (°) verwendet, der ohne Zwischenraum an die letzte Ziffer des Zahlenwertes angehängt wird (siehe <a href="/wiki/Gradzeichen" title="Gradzeichen">Gradzeichen</a>). 1&#160;Grad ist definiert als der 360.&#160;Teil des <a href="/wiki/Vollwinkel" title="Vollwinkel">Vollwinkels</a>, d.&#160;h. 1&#160;Vollwinkel = 360°. Ein Grad entspricht dem 360-sten Teil eines <a href="/wiki/Kreis" title="Kreis">Kreises</a>. Die historische Unterteilung ist <a href="/wiki/Sexagesimal" class="mw-redirect" title="Sexagesimal">sexagesimal</a>, in <i>Winkel-</i> oder <i>Bogenminuten</i> und <i>-sekunden</i>, siehe <a href="/wiki/Winkelma%C3%9F" title="Winkelmaß">Winkelmaß</a>. </p><p>Die Angabe der <a href="/wiki/Winkelweite" class="mw-redirect" title="Winkelweite">Winkelweite</a> in Grad wird als <b>Gradmaß</b> bezeichnet, um sie von anderen Winkelmaßen, wie zum Beispiel dem Bogenmaß in <a href="/wiki/Radiant_(Einheit)" title="Radiant (Einheit)">Radiant</a>, abzugrenzen. Als das <a href="/wiki/Gon" title="Gon">Gon</a> noch als <i>Neugrad</i> bezeichnet wurde, benutzte man auch die Bezeichnung <b>Altgrad</b> für den Grad. </p><p>Der Grad gehört zwar nicht zum <a href="/wiki/Internationales_Einheitensystem" title="Internationales Einheitensystem">Internationalen Einheitensystem</a> (SI), ist zum Gebrauch mit dem SI aber zugelassen.<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">&#91;</span>1<span class="cite-bracket">&#93;</span></a></sup> Dadurch<sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">&#91;</span>2<span class="cite-bracket">&#93;</span></a></sup> ist er eine <a href="/wiki/Gesetzliche_Einheit" title="Gesetzliche Einheit">gesetzliche Maßeinheit</a>. </p> <div id="toc" class="toc" role="navigation" aria-labelledby="mw-toc-heading"><input type="checkbox" role="button" id="toctogglecheckbox" class="toctogglecheckbox" style="display:none" /><div class="toctitle" lang="de" dir="ltr"><h2 id="mw-toc-heading">Inhaltsverzeichnis</h2><span class="toctogglespan"><label class="toctogglelabel" for="toctogglecheckbox"></label></span></div> <ul> <li class="toclevel-1 tocsection-1"><a href="#Unterteilungen"><span class="tocnumber">1</span> <span class="toctext">Unterteilungen</span></a></li> <li class="toclevel-1 tocsection-2"><a href="#Besonderheiten_der_360°-Teilung"><span class="tocnumber">2</span> <span class="toctext">Besonderheiten der 360°-Teilung</span></a></li> <li class="toclevel-1 tocsection-3"><a href="#Siehe_auch"><span class="tocnumber">3</span> <span class="toctext">Siehe auch</span></a></li> <li class="toclevel-1 tocsection-4"><a href="#Einzelnachweise"><span class="tocnumber">4</span> <span class="toctext">Einzelnachweise</span></a></li> </ul> </div> <div class="mw-heading mw-heading2"><h2 id="Unterteilungen">Unterteilungen</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Grad_(Winkel)&amp;veaction=edit&amp;section=1" title="Abschnitt bearbeiten: Unterteilungen" class="mw-editsection-visualeditor"><span>Bearbeiten</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Grad_(Winkel)&amp;action=edit&amp;section=1" title="Quellcode des Abschnitts bearbeiten: Unterteilungen"><span>Quelltext bearbeiten</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Bruchteile von Graden können in zwei Varianten angegeben werden: </p> <ul><li><a href="/wiki/Dezimalsystem" title="Dezimalsystem">dezimal</a>: ggg,g…°</li> <li><a href="/wiki/Sexagesimal" class="mw-redirect" title="Sexagesimal">sexagesimal</a>: Grad, Minuten und Sekunden: ggg° mm′ ss,s…″<br />Die weitere Unterteilung in <i>Tertien</i> (1&#160;Sekunde = 60 Tertien) ist heute gänzlich außer Gebrauch.</li></ul> <p>Umrechnung von sexagesimaler in dezimale Darstellung (für Winkel ≥&#160;0): </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 {\text{Grad (dezimal)}}=ggg+{\frac {mm+{\frac {ss{,}s}{60}}}{60}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mtext>Grad (dezimal)</mtext> </mrow> <mo>=</mo> <mi>g</mi> <mi>g</mi> <mi>g</mi> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>m</mi> <mi>m</mi> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>s</mi> <mi>s</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>,</mo> </mrow> <mi>s</mi> </mrow> <mn>60</mn> </mfrac> </mrow> </mrow> <mn>60</mn> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\text{Grad (dezimal)}}=ggg+{\frac {mm+{\frac {ss{,}s}{60}}}{60}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/cc5c377f2987242134a441307b26ba7746d55484" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:35.981ex; height:6.343ex;" alt="{\displaystyle {\text{Grad (dezimal)}}=ggg+{\frac {mm+{\frac {ss{,}s}{60}}}{60}}}"></span></dd></dl> <p>Umrechnung von dezimaler in sexagesimale Darstellung (für Winkel ≥&#160;0): </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 {\begin{aligned}ggg&amp;=&amp;\lfloor Grad\rfloor \\mm&amp;=&amp;\lfloor 60\cdot \operatorname {frac} (Grad)\rfloor \\ss{,}s\ldots &amp;=&amp;60\cdot \operatorname {frac} (60\cdot \operatorname {frac} (Grad))\end{aligned}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mtable columnalign="right left right left right left right left right left right left" rowspacing="3pt" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true"> <mtr> <mtd> <mi>g</mi> <mi>g</mi> <mi>g</mi> </mtd> <mtd> <mi></mi> <mo>=</mo> </mtd> <mtd> <mo fence="false" stretchy="false">&#x230A;<!-- ⌊ --></mo> <mi>G</mi> <mi>r</mi> <mi>a</mi> <mi>d</mi> <mo fence="false" stretchy="false">&#x230B;<!-- ⌋ --></mo> </mtd> </mtr> <mtr> <mtd> <mi>m</mi> <mi>m</mi> </mtd> <mtd> <mi></mi> <mo>=</mo> </mtd> <mtd> <mo fence="false" stretchy="false">&#x230A;<!-- ⌊ --></mo> <mn>60</mn> <mo>&#x22C5;<!-- ⋅ --></mo> <mi>frac</mi> <mo>&#x2061;<!-- ⁡ --></mo> <mo stretchy="false">(</mo> <mi>G</mi> <mi>r</mi> <mi>a</mi> <mi>d</mi> <mo stretchy="false">)</mo> <mo fence="false" stretchy="false">&#x230B;<!-- ⌋ --></mo> </mtd> </mtr> <mtr> <mtd> <mi>s</mi> <mi>s</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>,</mo> </mrow> <mi>s</mi> <mo>&#x2026;<!-- … --></mo> </mtd> <mtd> <mi></mi> <mo>=</mo> </mtd> <mtd> <mn>60</mn> <mo>&#x22C5;<!-- ⋅ --></mo> <mi>frac</mi> <mo>&#x2061;<!-- ⁡ --></mo> <mo stretchy="false">(</mo> <mn>60</mn> <mo>&#x22C5;<!-- ⋅ --></mo> <mi>frac</mi> <mo>&#x2061;<!-- ⁡ --></mo> <mo stretchy="false">(</mo> <mi>G</mi> <mi>r</mi> <mi>a</mi> <mi>d</mi> <mo stretchy="false">)</mo> <mo stretchy="false">)</mo> </mtd> </mtr> </mtable> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\begin{aligned}ggg&amp;=&amp;\lfloor Grad\rfloor \\mm&amp;=&amp;\lfloor 60\cdot \operatorname {frac} (Grad)\rfloor \\ss{,}s\ldots &amp;=&amp;60\cdot \operatorname {frac} (60\cdot \operatorname {frac} (Grad))\end{aligned}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/16ac57dd33e3a01ad90740baa15eb6d6c61bcb08" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -4.005ex; width:39.463ex; height:9.176ex;" alt="{\displaystyle {\begin{aligned}ggg&amp;=&amp;\lfloor Grad\rfloor \\mm&amp;=&amp;\lfloor 60\cdot \operatorname {frac} (Grad)\rfloor \\ss{,}s\ldots &amp;=&amp;60\cdot \operatorname {frac} (60\cdot \operatorname {frac} (Grad))\end{aligned}}}"></span></dd></dl> <p>wobei <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle x=\lfloor x\rfloor }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>x</mi> <mo>=</mo> <mo fence="false" stretchy="false">&#x230A;<!-- ⌊ --></mo> <mi>x</mi> <mo fence="false" stretchy="false">&#x230B;<!-- ⌋ --></mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x=\lfloor x\rfloor }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a72879d1f5a6e166a10f80430c94e75c42eb40e8" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:7.823ex; height:2.843ex;" alt="{\displaystyle x=\lfloor x\rfloor }"></span> der ganzzahlige Anteil (<a href="/wiki/Gau%C3%9Fklammer" class="mw-redirect" title="Gaußklammer">Gaußklammer</a>) und <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 \operatorname {frac} (x)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>frac</mi> <mo>&#x2061;<!-- ⁡ --></mo> <mo stretchy="false">(</mo> <mi>x</mi> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \operatorname {frac} (x)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/056ad666a57fa1e3226eccdf6bee8fe3a5cbeda7" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:6.957ex; height:2.843ex;" alt="{\displaystyle \operatorname {frac} (x)}"></span> der <a href="/wiki/Nachkommastelle" title="Nachkommastelle">Nachkommaanteil</a> der Zahl <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle x}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>x</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/87f9e315fd7e2ba406057a97300593c4802b53e4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.33ex; height:1.676ex;" alt="{\displaystyle x}"></span> ist. </p> <div class="mw-heading mw-heading2"><h2 id="Besonderheiten_der_360°-Teilung"><span id="Besonderheiten_der_360.C2.B0-Teilung"></span>Besonderheiten der 360°-Teilung</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Grad_(Winkel)&amp;veaction=edit&amp;section=2" title="Abschnitt bearbeiten: Besonderheiten der 360°-Teilung" class="mw-editsection-visualeditor"><span>Bearbeiten</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Grad_(Winkel)&amp;action=edit&amp;section=2" title="Quellcode des Abschnitts bearbeiten: Besonderheiten der 360°-Teilung"><span>Quelltext bearbeiten</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Die Zahl 360 gehört zu den <a href="/wiki/Hochzusammengesetzte_Zahl" title="Hochzusammengesetzte Zahl">hochzusammengesetzten Zahlen</a>. Damit ermöglicht die Einteilung des Vollwinkels in 360 Grad wegen der vielen Teiler eine Skala in entsprechend viele gleich große, ganzzahlige Abschnitte zu unterteilen. Die 24 Teiler von 360 sind: 1; 2; 3; 4; 5; 6; 8; 9; 10; 12; 15; 18; 20; 24; 30; 36; 40; 45; 60; 72; 90; 120; 180; 360. </p> <div class="mw-heading mw-heading2"><h2 id="Siehe_auch">Siehe auch</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Grad_(Winkel)&amp;veaction=edit&amp;section=3" title="Abschnitt bearbeiten: Siehe auch" class="mw-editsection-visualeditor"><span>Bearbeiten</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Grad_(Winkel)&amp;action=edit&amp;section=3" title="Quellcode des Abschnitts bearbeiten: Siehe auch"><span>Quelltext bearbeiten</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Strich_(Winkeleinheit)" title="Strich (Winkeleinheit)">Strich (Winkeleinheit)</a></li> <li><a href="/wiki/Gradmessung" title="Gradmessung">Gradmessung</a> (Geodäsie)</li> <li><a href="/wiki/Winkelminute" title="Winkelminute">Winkelminute</a></li> <li><a href="/wiki/Winkelsekunde" title="Winkelsekunde">Winkelsekunde</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="Einzelnachweise">Einzelnachweise</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Grad_(Winkel)&amp;veaction=edit&amp;section=4" title="Abschnitt bearbeiten: Einzelnachweise" class="mw-editsection-visualeditor"><span>Bearbeiten</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Grad_(Winkel)&amp;action=edit&amp;section=4" title="Quellcode des Abschnitts bearbeiten: Einzelnachweise"><span>Quelltext bearbeiten</span></a><span class="mw-editsection-bracket">]</span></span></div> <ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><a href="#cite_ref-1">↑</a></span> <span class="reference-text"><cite style="font-style:italic">Das Internationale Einheitensystem (SI)</cite>. Deutsche Übersetzung der BIPM-Broschüre „Le Système international d’unités (8e édition, 2006)“. In: <cite style="font-style:italic">PTB-Mitteilungen</cite>. <span style="white-space:nowrap">Band<span style="display:inline-block;width:.2em">&#160;</span>117</span>, <span style="white-space:nowrap">Nr.<span style="display:inline-block;width:.2em">&#160;</span>2</span>, 2007 (<a rel="nofollow" class="external text" href="https://www.ptb.de/cms/fileadmin/internet/Themenrundgaenge/ImWeltweitenNetzDerMetrologie/si.pdf">Online</a> &#91;PDF; <span style="white-space:nowrap">1,4<span style="display:inline-block;width:.2em">&#160;</span>MB</span>&#93;).<span class="Z3988" title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rfr_id=info:sid/de.wikipedia.org:Grad+%28Winkel%29&amp;rft.atitle=Das+Internationale+Einheitensystem+%28SI%29&amp;rft.date=2007&amp;rft.genre=journal&amp;rft.issue=2&amp;rft.jtitle=PTB-Mitteilungen&amp;rft.volume=117" style="display:none">&#160;</span> Zur 9. Auflage der SI-Broschüre (2019) liegt noch keine offizielle deutsche Übersetzung vor; auch dort sind aber Winkelgrad, &#x2011;minute und &#x2011;sekunde als „zum Gebrauch mit dem SI zugelassen“ aufgeführt.</span> </li> <li id="cite_note-2"><span class="mw-cite-backlink"><a href="#cite_ref-2">↑</a></span> <span class="reference-text">aufgrund der <a href="/wiki/Richtlinie_80/181/EWG" title="Richtlinie 80/181/EWG">EU-Richtlinie 80/181/EWG</a> in den Staaten der EU bzw. dem <a rel="nofollow" class="external text" href="https://www.admin.ch/opc/de/classified-compilation/20101915/">Bundesgesetz über das Messwesen</a> in der Schweiz</span> </li> </ol> <style data-mw-deduplicate="TemplateStyles:r248673343">.mw-parser-output div.NavFrame{border-width:1px;border-style:solid;border-left-color:var(--dewiki-rahmenfarbe1);border-right-color:var(--dewiki-rahmenfarbe1);border-top-color:var(--dewiki-rahmenfarbe1);border-bottom-color:var(--dewiki-rahmenfarbe1);clear:both;font-size:95%;margin-top:1.5em;min-height:0;padding:2px;text-align:center}.mw-parser-output div.NavPic{float:left;padding:2px}.mw-parser-output div.NavHead{background-color:var(--dewiki-hintergrundfarbe5);font-weight:bold}.mw-parser-output div.NavFrame:after{clear:both;content:"";display:block}.mw-parser-output div.NavFrame+div.NavFrame,.mw-parser-output div.NavFrame+link+div.NavFrame,.mw-parser-output div.NavFrame+style+div.NavFrame{margin-top:-1px}.mw-parser-output .NavToggle{float:right;font-size:x-small}@media screen{html.skin-theme-clientpref-night .mw-parser-output .NavPic span[typeof="mw:File"] img{background-color:#c8ccd1}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .NavPic span[typeof="mw:File"] img{background-color:#c8ccd1}}</style><div class="NavFrame erweiterte-navigationsleiste navigation-not-searchable erw-nav-farbschema-blau"><style data-mw-deduplicate="TemplateStyles:r248673233">.mw-parser-output table.erw-nav-zebra>tbody>:nth-child(odd){background-color:var(--dewiki-hintergrundfarbe-basis)}.mw-parser-output .erw-nav-farbschema-blau .erw-nav-leiste{background-color:#f5f5f5}.mw-parser-output .erw-nav-farbschema-blau .erw-nav-gruppe{background-color:#e5ecf2}.mw-parser-output .erw-nav-farbschema-grau .erw-nav-leiste,.mw-parser-output .erw-nav-farbschema-grau .erw-nav-gruppe{background-color:#ececec}.mw-parser-output .erweiterte-navigationsleiste .NavContent>.wikitable>*>tr{border-top:2px solid #fdfdfd!important;border-bottom:2px solid #fdfdfd!important}@media screen{html.skin-theme-clientpref-night .mw-parser-output .erw-nav-farbschema-blau .erw-nav-leiste,html.skin-theme-clientpref-night .mw-parser-output .erw-nav-farbschema-blau .erw-nav-gruppe,html.skin-theme-clientpref-night .mw-parser-output .erw-nav-farbschema-grau .erw-nav-leiste,html.skin-theme-clientpref-night .mw-parser-output .erw-nav-farbschema-grau .erw-nav-gruppe{background-color:#202122}html.skin-theme-clientpref-night .mw-parser-output .erweiterte-navigationsleiste .NavContent .wikitable tr,html.skin-theme-clientpref-night .mw-parser-output .erweiterte-navigationsleiste .NavContent .wikitable td{border-color:#101418!important}html.skin-theme-clientpref-night .mw-parser-output .erw-nav-bild span[typeof="mw:File"] img{background-color:#c8ccd1}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .erw-nav-farbschema-blau .erw-nav-leiste,html.skin-theme-clientpref-os .mw-parser-output .erw-nav-farbschema-blau .erw-nav-gruppe,html.skin-theme-clientpref-os .mw-parser-output .erw-nav-farbschema-grau .erw-nav-leiste,html.skin-theme-clientpref-os .mw-parser-output .erw-nav-farbschema-grau .erw-nav-gruppe{background-color:#202122}html.skin-theme-clientpref-os .mw-parser-output .erweiterte-navigationsleiste .NavContent .wikitable tr,html.skin-theme-clientpref-os .mw-parser-output .erweiterte-navigationsleiste .NavContent .wikitable td{border-color:#101418!important}html.skin-theme-clientpref-os .mw-parser-output .erw-nav-bild span[typeof="mw:File"] img{background-color:#c8ccd1}}.mw-parser-output .erweiterte-navigationsleiste .hlist .wikitable{border-top:0px!important;border-bottom:0px!important;margin-top:0!important;margin-bottom:0!important}.mw-parser-output .erweiterte-navigationsleiste .hlist .wikitable tr:first-of-type td{border-top:0px!important}.mw-parser-output .erweiterte-navigationsleiste .hlist .wikitable tr:last-of-type td{border-bottom:0px!important}</style><div class="NavHead" style=""><a href="/wiki/Internationales_Einheitensystem#SI-Einheiten" title="Internationales Einheitensystem">SI-Einheiten</a></div><div class="NavContent" style="clear:left;"> <table class="wikitable erw-nav-zebra" style="width:100%;margin:0;text-align:left;font-size:95%;margin-top:.1em;margin-bottom:.0em;"> <tbody><tr> <td class="erw-nav-gruppe" style="color:#202122;white-space: nowrap;text-align: right;border: 1px solid transparent;border-top: 1px solid #FFF;border-bottom: 2px solid #FFF;padding: 0 1em;"><b><a href="/wiki/Internationales_Einheitensystem#SI-Basiseinheiten" title="Internationales Einheitensystem">SI-Basiseinheiten</a></b> </td> <td class="hlist" style="text-align: left;border-left: 2px solid #fdfdfd;width: 100%;margin: .4em 0;border-color: #fdfdfd;padding: 0 .25em;"> <p><a href="/wiki/Sekunde" title="Sekunde">Sekunde</a>&#160;&#124; <a href="/wiki/Meter" title="Meter">Meter</a>&#160;&#124; <a href="/wiki/Kilogramm" title="Kilogramm">Kilogramm</a>&#160;&#124; <a href="/wiki/Ampere" title="Ampere">Ampere</a>&#160;&#124; <a href="/wiki/Kelvin" title="Kelvin">Kelvin</a>&#160;&#124; <a href="/wiki/Mol" title="Mol">Mol</a>&#160;&#124; <a href="/wiki/Candela" title="Candela">Candela</a> </p> </td></tr> <tr> <td class="erw-nav-gruppe" style="color:#202122;white-space: nowrap;text-align: right;border: 1px solid transparent;border-top: 1px solid #FFF;border-bottom: 2px solid #FFF;padding: 0 1em;"><b><a href="/wiki/Internationales_Einheitensystem#Abgeleitete_SI-Einheiten_mit_besonderem_Namen" title="Internationales Einheitensystem">Abgeleitete SI-Einheiten<br />mit besonderem Namen</a></b> </td> <td class="hlist" style="text-align: left;border-left: 2px solid #fdfdfd;width: 100%;margin: .4em 0;border-color: #fdfdfd;padding: 0 .25em;"> <p><a href="/wiki/Radiant_(Einheit)" title="Radiant (Einheit)">Radiant</a>&#160;• <a href="/wiki/Steradiant" title="Steradiant">Steradiant</a>&#160;&#124; <a href="/wiki/Hertz_(Einheit)" title="Hertz (Einheit)">Hertz</a>&#160;&#124; <a href="/wiki/Newton_(Einheit)" title="Newton (Einheit)">Newton</a>&#160;• <a href="/wiki/Pascal_(Einheit)" title="Pascal (Einheit)">Pascal</a>&#160;• <a 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lang="be" hreflang="be" data-title="Вуглавы градус" data-language-autonym="Беларуская" data-language-local-name="Belarussisch" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%93%D1%80%D0%B0%D0%B4%D1%83%D1%81_(%D1%8A%D0%B3%D1%8A%D0%BB)" title="Градус (ъгъл) – Bulgarisch" lang="bg" hreflang="bg" data-title="Градус (ъгъл)" data-language-autonym="Български" data-language-local-name="Bulgarisch" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bh mw-list-item"><a href="https://bh.wikipedia.org/wiki/%E0%A4%A1%E0%A4%BF%E0%A4%97%E0%A5%8D%E0%A4%B0%E0%A5%80_(%E0%A4%95%E0%A5%8B%E0%A4%A3)" title="डिग्री (कोण) – Bhojpuri" lang="bh" hreflang="bh" data-title="डिग्री (कोण)" data-language-autonym="भोजपुरी" data-language-local-name="Bhojpuri" class="interlanguage-link-target"><span>भोजपुरी</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%A1%E0%A6%BF%E0%A6%97%E0%A7%8D%E0%A6%B0%E0%A6%BF_(%E0%A6%95%E0%A7%8B%E0%A6%A3)" title="ডিগ্রি (কোণ) – Bengalisch" lang="bn" hreflang="bn" data-title="ডিগ্রি (কোণ)" data-language-autonym="বাংলা" data-language-local-name="Bengalisch" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Stepen_(ugao)" title="Stepen (ugao) – Bosnisch" lang="bs" hreflang="bs" data-title="Stepen (ugao)" data-language-autonym="Bosanski" data-language-local-name="Bosnisch" class="interlanguage-link-target"><span>Bosanski</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Grau_sexagesimal" title="Grau sexagesimal – Katalanisch" lang="ca" hreflang="ca" data-title="Grau sexagesimal" data-language-autonym="Català" data-language-local-name="Katalanisch" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-ceb mw-list-item"><a href="https://ceb.wikipedia.org/wiki/Degri" title="Degri – Cebuano" lang="ceb" hreflang="ceb" data-title="Degri" data-language-autonym="Cebuano" data-language-local-name="Cebuano" class="interlanguage-link-target"><span>Cebuano</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%D9%BE%D9%84%DB%95_(%DA%AF%DB%86%D8%B4%DB%95)" title="پلە (گۆشە) – Zentralkurdisch" lang="ckb" hreflang="ckb" data-title="پلە (گۆشە)" data-language-autonym="کوردی" data-language-local-name="Zentralkurdisch" class="interlanguage-link-target"><span>کوردی</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Stupe%C5%88_(%C3%BAhel)" title="Stupeň (úhel) – Tschechisch" lang="cs" hreflang="cs" data-title="Stupeň (úhel)" data-language-autonym="Čeština" data-language-local-name="Tschechisch" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%93%D1%80%D0%B0%D0%B4%D1%83%D1%81_(%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8)" title="Градус (геометри) – Tschuwaschisch" lang="cv" hreflang="cv" data-title="Градус (геометри)" data-language-autonym="Чӑвашла" data-language-local-name="Tschuwaschisch" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Grad_(vinkelm%C3%A5l)" title="Grad (vinkelmål) – Dänisch" lang="da" hreflang="da" data-title="Grad (vinkelmål)" data-language-autonym="Dansk" data-language-local-name="Dänisch" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%9C%CE%BF%CE%AF%CF%81%CE%B1_(%CE%B3%CE%B5%CF%89%CE%BC%CE%B5%CF%84%CF%81%CE%AF%CE%B1)" title="Μοίρα (γεωμετρία) – Griechisch" lang="el" hreflang="el" data-title="Μοίρα (γεωμετρία)" data-language-autonym="Ελληνικά" data-language-local-name="Griechisch" 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/Degree_(angle)" title="Degree (angle) – Englisch" lang="en" hreflang="en" data-title="Degree (angle)" data-language-autonym="English" data-language-local-name="Englisch" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Grado_(angulo)" title="Grado (angulo) – Esperanto" lang="eo" hreflang="eo" data-title="Grado (angulo)" data-language-autonym="Esperanto" data-language-local-name="Esperanto" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Grado_sexagesimal" title="Grado sexagesimal – Spanisch" lang="es" hreflang="es" data-title="Grado sexagesimal" data-language-autonym="Español" data-language-local-name="Spanisch" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Kraad_(geomeetria)" title="Kraad (geomeetria) – Estnisch" lang="et" hreflang="et" data-title="Kraad (geomeetria)" data-language-autonym="Eesti" data-language-local-name="Estnisch" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Gradu_sexagesimal" title="Gradu sexagesimal – Baskisch" lang="eu" hreflang="eu" data-title="Gradu sexagesimal" data-language-autonym="Euskara" data-language-local-name="Baskisch" 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%AF%D8%B1%D8%AC%D9%87_(%D8%B2%D8%A7%D9%88%DB%8C%D9%87)" title="درجه (زاویه) – Persisch" lang="fa" hreflang="fa" data-title="درجه (زاویه)" data-language-autonym="فارسی" data-language-local-name="Persisch" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Aste" title="Aste – Finnisch" lang="fi" hreflang="fi" data-title="Aste" data-language-autonym="Suomi" data-language-local-name="Finnisch" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Degr%C3%A9_(angle)" title="Degré (angle) – Französisch" lang="fr" hreflang="fr" data-title="Degré (angle)" data-language-autonym="Français" data-language-local-name="Französisch" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-frr mw-list-item"><a href="https://frr.wikipedia.org/wiki/Winkelgraad" title="Winkelgraad – Nordfriesisch" lang="frr" hreflang="frr" data-title="Winkelgraad" data-language-autonym="Nordfriisk" data-language-local-name="Nordfriesisch" class="interlanguage-link-target"><span>Nordfriisk</span></a></li><li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://ga.wikipedia.org/wiki/C%C3%A9im_(matamaitic)" title="Céim (matamaitic) – Irisch" lang="ga" hreflang="ga" data-title="Céim (matamaitic)" data-language-autonym="Gaeilge" data-language-local-name="Irisch" class="interlanguage-link-target"><span>Gaeilge</span></a></li><li class="interlanguage-link interwiki-gan mw-list-item"><a href="https://gan.wikipedia.org/wiki/%E5%BA%A6_(%E8%A7%92%E5%BA%A6)" title="度 (角度) – Gan" lang="gan" hreflang="gan" data-title="度 (角度)" 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-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Grao_sesaxesimal" title="Grao sesaxesimal – Galicisch" lang="gl" hreflang="gl" data-title="Grao sesaxesimal" data-language-autonym="Galego" data-language-local-name="Galicisch" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-ha mw-list-item"><a href="https://ha.wikipedia.org/wiki/Digiri_(kwana)" title="Digiri (kwana) – Haussa" lang="ha" hreflang="ha" data-title="Digiri (kwana)" data-language-autonym="Hausa" data-language-local-name="Haussa" class="interlanguage-link-target"><span>Hausa</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%9E%D7%A2%D7%9C%D7%94_(%D7%96%D7%95%D7%95%D7%99%D7%AA)" title="מעלה (זווית) – Hebräisch" lang="he" hreflang="he" data-title="מעלה (זווית)" data-language-autonym="עברית" data-language-local-name="Hebräisch" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Stupanj_(kut)" title="Stupanj (kut) – Kroatisch" lang="hr" hreflang="hr" data-title="Stupanj (kut)" data-language-autonym="Hrvatski" data-language-local-name="Kroatisch" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Fok_(sz%C3%B6g)" title="Fok (szög) – Ungarisch" lang="hu" hreflang="hu" data-title="Fok (szög)" data-language-autonym="Magyar" data-language-local-name="Ungarisch" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D4%B1%D5%BD%D5%BF%D5%AB%D5%B3%D5%A1%D5%B6_(%D5%A5%D6%80%D5%AF%D6%80%D5%A1%D5%B9%D5%A1%D6%83%D5%B8%D6%82%D5%A9%D5%B5%D5%B8%D6%82%D5%B6)" title="Աստիճան (երկրաչափություն) – Armenisch" lang="hy" hreflang="hy" data-title="Աստիճան (երկրաչափություն)" data-language-autonym="Հայերեն" data-language-local-name="Armenisch" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-ia mw-list-item"><a href="https://ia.wikipedia.org/wiki/Grado_(angulo)" title="Grado (angulo) – Interlingua" lang="ia" hreflang="ia" data-title="Grado (angulo)" data-language-autonym="Interlingua" data-language-local-name="Interlingua" class="interlanguage-link-target"><span>Interlingua</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Derajat_(satuan_sudut)" title="Derajat (satuan sudut) – Indonesisch" lang="id" hreflang="id" data-title="Derajat (satuan sudut)" data-language-autonym="Bahasa Indonesia" data-language-local-name="Indonesisch" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-ilo mw-list-item"><a href="https://ilo.wikipedia.org/wiki/Grado_(anggulo)" title="Grado (anggulo) – Ilokano" lang="ilo" hreflang="ilo" data-title="Grado (anggulo)" data-language-autonym="Ilokano" data-language-local-name="Ilokano" class="interlanguage-link-target"><span>Ilokano</span></a></li><li class="interlanguage-link interwiki-is mw-list-item"><a href="https://is.wikipedia.org/wiki/Gr%C3%A1%C3%B0a_(horn)" title="Gráða (horn) – Isländisch" lang="is" hreflang="is" data-title="Gráða (horn)" data-language-autonym="Íslenska" data-language-local-name="Isländisch" 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/Grado_d%27arco" title="Grado d&#039;arco – Italienisch" lang="it" hreflang="it" data-title="Grado d&#039;arco" data-language-autonym="Italiano" data-language-local-name="Italienisch" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E5%BA%A6_(%E8%A7%92%E5%BA%A6)" title="度 (角度) – Japanisch" lang="ja" hreflang="ja" data-title="度 (角度)" data-language-autonym="日本語" data-language-local-name="Japanisch" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-jam mw-list-item"><a href="https://jam.wikipedia.org/wiki/Digrii" title="Digrii – Jamaikanisch-Kreolisch" lang="jam" hreflang="jam" data-title="Digrii" data-language-autonym="Patois" data-language-local-name="Jamaikanisch-Kreolisch" class="interlanguage-link-target"><span>Patois</span></a></li><li class="interlanguage-link interwiki-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/%E1%83%92%E1%83%A0%E1%83%90%E1%83%93%E1%83%A3%E1%83%A1%E1%83%98_(%E1%83%92%E1%83%94%E1%83%9D%E1%83%9B%E1%83%94%E1%83%A2%E1%83%A0%E1%83%98%E1%83%90)" title="გრადუსი (გეომეტრია) – Georgisch" lang="ka" hreflang="ka" data-title="გრადუსი (გეომეტრია)" data-language-autonym="ქართული" data-language-local-name="Georgisch" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EB%8F%84_(%EA%B0%81%EB%8F%84)" title="도 (각도) – Koreanisch" lang="ko" hreflang="ko" data-title="도 (각도)" data-language-autonym="한국어" data-language-local-name="Koreanisch" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-ky mw-list-item"><a href="https://ky.wikipedia.org/wiki/%D0%93%D1%80%D0%B0%D0%B4%D1%83%D1%81" title="Градус – Kirgisisch" lang="ky" hreflang="ky" data-title="Градус" data-language-autonym="Кыргызча" data-language-local-name="Kirgisisch" 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/Gradus_anguli" title="Gradus anguli – Latein" lang="la" hreflang="la" data-title="Gradus anguli" data-language-autonym="Latina" data-language-local-name="Latein" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-lb mw-list-item"><a href="https://lb.wikipedia.org/wiki/Grad_(W%C3%A9nkel)" title="Grad (Wénkel) – Luxemburgisch" lang="lb" hreflang="lb" data-title="Grad (Wénkel)" data-language-autonym="Lëtzebuergesch" data-language-local-name="Luxemburgisch" class="interlanguage-link-target"><span>Lëtzebuergesch</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Laipsnis_(kampas)" title="Laipsnis (kampas) – Litauisch" lang="lt" hreflang="lt" data-title="Laipsnis (kampas)" data-language-autonym="Lietuvių" data-language-local-name="Litauisch" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Gr%C4%81ds_(le%C5%86%C4%B7is)" title="Grāds (leņķis) – Lettisch" lang="lv" hreflang="lv" data-title="Grāds (leņķis)" data-language-autonym="Latviešu" data-language-local-name="Lettisch" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%A1%D1%82%D0%B5%D0%BF%D0%B5%D0%BD_(%D0%B0%D0%B3%D0%BE%D0%BB)" title="Степен (агол) – Mazedonisch" lang="mk" hreflang="mk" data-title="Степен (агол)" data-language-autonym="Македонски" data-language-local-name="Mazedonisch" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-ml mw-list-item"><a href="https://ml.wikipedia.org/wiki/%E0%B4%A1%E0%B4%BF%E0%B4%97%E0%B5%8D%E0%B4%B0%E0%B4%BF_(%E0%B4%95%E0%B5%8B%E0%B5%BA)" title="ഡിഗ്രി (കോൺ) – Malayalam" lang="ml" hreflang="ml" data-title="ഡിഗ്രി (കോൺ)" data-language-autonym="മലയാളം" data-language-local-name="Malayalam" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Darjah_(sudut)" title="Darjah (sudut) – Malaiisch" lang="ms" hreflang="ms" data-title="Darjah (sudut)" data-language-autonym="Bahasa Melayu" data-language-local-name="Malaiisch" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-nds mw-list-item"><a href="https://nds.wikipedia.org/wiki/Grad_(Winkel)" title="Grad (Winkel) – Niederdeutsch" lang="nds" hreflang="nds" data-title="Grad (Winkel)" data-language-autonym="Plattdüütsch" data-language-local-name="Niederdeutsch" class="interlanguage-link-target"><span>Plattdüütsch</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Booggraad" title="Booggraad – Niederländisch" lang="nl" hreflang="nl" data-title="Booggraad" data-language-autonym="Nederlands" data-language-local-name="Niederländisch" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Vinkeleininga_grad" title="Vinkeleininga grad – Norwegisch (Nynorsk)" lang="nn" hreflang="nn" data-title="Vinkeleininga grad" data-language-autonym="Norsk nynorsk" data-language-local-name="Norwegisch (Nynorsk)" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Grad_(vinkel)" title="Grad (vinkel) – Norwegisch (Bokmål)" lang="nb" hreflang="nb" data-title="Grad (vinkel)" data-language-autonym="Norsk bokmål" data-language-local-name="Norwegisch (Bokmål)" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-pa mw-list-item"><a href="https://pa.wikipedia.org/wiki/%E0%A8%A1%E0%A8%BF%E0%A8%97%E0%A8%B0%E0%A9%80_(%E0%A8%95%E0%A9%8B%E0%A8%A3)" title="ਡਿਗਰੀ (ਕੋਣ) – Punjabi" lang="pa" hreflang="pa" data-title="ਡਿਗਰੀ (ਕੋਣ)" data-language-autonym="ਪੰਜਾਬੀ" data-language-local-name="Punjabi" class="interlanguage-link-target"><span>ਪੰਜਾਬੀ</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Stopie%C5%84_(k%C4%85t)" title="Stopień (kąt) – Polnisch" lang="pl" hreflang="pl" data-title="Stopień (kąt)" data-language-autonym="Polski" data-language-local-name="Polnisch" 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/Grau_(geometria)" title="Grau (geometria) – Portugiesisch" lang="pt" hreflang="pt" data-title="Grau (geometria)" data-language-autonym="Português" data-language-local-name="Portugiesisch" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Grad_sexagesimal" title="Grad sexagesimal – Rumänisch" lang="ro" hreflang="ro" data-title="Grad sexagesimal" data-language-autonym="Română" data-language-local-name="Rumänisch" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%93%D1%80%D0%B0%D0%B4%D1%83%D1%81_(%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%8F)" title="Градус (геометрия) – Russisch" lang="ru" hreflang="ru" data-title="Градус (геометрия)" data-language-autonym="Русский" data-language-local-name="Russisch" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Stepen_(ugao)" title="Stepen (ugao) – Serbokroatisch" lang="sh" hreflang="sh" data-title="Stepen (ugao)" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="Serbokroatisch" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Degree_(angle)" title="Degree (angle) – einfaches Englisch" lang="en-simple" hreflang="en-simple" data-title="Degree (angle)" data-language-autonym="Simple English" data-language-local-name="einfaches Englisch" 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/Stupe%C5%88_(uhol)" title="Stupeň (uhol) – Slowakisch" lang="sk" hreflang="sk" data-title="Stupeň (uhol)" data-language-autonym="Slovenčina" data-language-local-name="Slowakisch" 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/Kotna_stopinja" title="Kotna stopinja – Slowenisch" lang="sl" hreflang="sl" data-title="Kotna stopinja" data-language-autonym="Slovenščina" data-language-local-name="Slowenisch" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%A1%D1%82%D0%B5%D0%BF%D0%B5%D0%BD_(%D1%83%D0%B3%D0%B0%D0%BE)" title="Степен (угао) – Serbisch" lang="sr" hreflang="sr" data-title="Степен (угао)" data-language-autonym="Српски / srpski" data-language-local-name="Serbisch" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Grad_(vinkelenhet)" title="Grad (vinkelenhet) – Schwedisch" lang="sv" hreflang="sv" data-title="Grad (vinkelenhet)" data-language-autonym="Svenska" data-language-local-name="Schwedisch" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-sw mw-list-item"><a href="https://sw.wikipedia.org/wiki/Nyuzi" title="Nyuzi – Suaheli" lang="sw" hreflang="sw" data-title="Nyuzi" data-language-autonym="Kiswahili" data-language-local-name="Suaheli" class="interlanguage-link-target"><span>Kiswahili</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%AA%E0%AE%BE%E0%AE%95%E0%AF%88_(%E0%AE%85%E0%AE%B2%E0%AE%95%E0%AF%81)" title="பாகை (அலகு) – Tamil" lang="ta" hreflang="ta" data-title="பாகை (அலகு)" data-language-autonym="தமிழ்" data-language-local-name="Tamil" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-te mw-list-item"><a href="https://te.wikipedia.org/wiki/%E0%B0%A1%E0%B0%BF%E0%B0%97%E0%B1%8D%E0%B0%B0%E0%B1%80_(%E0%B0%95%E0%B1%8B%E0%B0%A3%E0%B0%82)" title="డిగ్రీ (కోణం) – Telugu" lang="te" hreflang="te" data-title="డిగ్రీ (కోణం)" data-language-autonym="తెలుగు" data-language-local-name="Telugu" class="interlanguage-link-target"><span>తెలుగు</span></a></li><li class="interlanguage-link interwiki-tg mw-list-item"><a href="https://tg.wikipedia.org/wiki/%D0%94%D0%B0%D1%80%D0%B0%D2%B7%D0%B0_(%D0%B7%D0%BE%D0%B2%D0%B8%D1%8F)" title="Дараҷа (зовия) – Tadschikisch" lang="tg" hreflang="tg" data-title="Дараҷа (зовия)" data-language-autonym="Тоҷикӣ" data-language-local-name="Tadschikisch" class="interlanguage-link-target"><span>Тоҷикӣ</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%AD%E0%B8%87%E0%B8%A8%E0%B8%B2_(%E0%B8%A1%E0%B8%B8%E0%B8%A1)" title="องศา (มุม) – Thailändisch" lang="th" hreflang="th" data-title="องศา (มุม)" data-language-autonym="ไทย" data-language-local-name="Thailändisch" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Derece_(birim)" title="Derece (birim) – Türkisch" lang="tr" hreflang="tr" data-title="Derece (birim)" data-language-autonym="Türkçe" data-language-local-name="Türkisch" 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%93%D1%80%D0%B0%D0%B4%D1%83%D1%81_(%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D1%96%D1%8F)" title="Градус (геометрія) – Ukrainisch" lang="uk" hreflang="uk" data-title="Градус (геометрія)" data-language-autonym="Українська" data-language-local-name="Ukrainisch" 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%AF%D8%B1%D8%AC%DB%81_(%D8%B2%D8%A7%D9%88%DB%8C%DB%81)" title="درجہ (زاویہ) – Urdu" lang="ur" hreflang="ur" data-title="درجہ (زاویہ)" data-language-autonym="اردو" data-language-local-name="Urdu" class="interlanguage-link-target"><span>اردو</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Daraja_(burchak)" title="Daraja (burchak) – Usbekisch" lang="uz" hreflang="uz" data-title="Daraja (burchak)" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="Usbekisch" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/%C4%90%E1%BB%99_(g%C3%B3c)" title="Độ (góc) – Vietnamesisch" lang="vi" hreflang="vi" data-title="Độ (góc)" data-language-autonym="Tiếng Việt" data-language-local-name="Vietnamesisch" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-war mw-list-item"><a href="https://war.wikipedia.org/wiki/Grado_sexagesimal" title="Grado sexagesimal – Waray" lang="war" hreflang="war" data-title="Grado sexagesimal" 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/%E5%BA%A6%EF%BC%88%E8%A7%92%EF%BC%89" title="度(角) – Wu" lang="wuu" hreflang="wuu" data-title="度(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%92%D7%A8%D7%90%D7%93" title="גראד – Jiddisch" lang="yi" hreflang="yi" data-title="גראד" data-language-autonym="ייִדיש" data-language-local-name="Jiddisch" class="interlanguage-link-target"><span>ייִדיש</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E5%BA%A6_(%E8%A7%92)" title="度 (角) – Chinesisch" lang="zh" hreflang="zh" data-title="度 (角)" data-language-autonym="中文" data-language-local-name="Chinesisch" class="interlanguage-link-target"><span>中文</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%BA%A6" title="角度 – Kantonesisch" lang="yue" hreflang="yue" data-title="角度" data-language-autonym="粵語" data-language-local-name="Kantonesisch" class="interlanguage-link-target"><span>粵語</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/Q28390#sitelinks-wikipedia" title="Links auf Artikel in anderen Sprachen bearbeiten" class="wbc-editpage">Links bearbeiten</a></span></div> </div> </nav> </div> </div> <footer id="footer" class="mw-footer" > <ul 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