File:Polygon-032VC.svg

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Original file ‎(SVG file, nominally 1,050 × 1,050 pixels, file size: 517 bytes)

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Description
English: Regular 32-gon; drawn with viewBox and cloning
Deutsch: Umriss eines regelmäßigen 32-Eck

Die Koordinaten resultieren aus allgemein bekannten trigonometrischen Formeln.
Gegeben sind der Radius mit 500px, und die Azahl der Ecken mit 32.

der Kreisumfang ist also 1000 π, und 360 / 64 = 5,625 Winkelgrad;
sin(5,625°) = 0,0980171403
cos(5,625°) = 0,995184727
Die Länge s der Sehne ist 2 * 500 * 0,0980171403 = 2 * 49,0085701 = 98,0171402
Die Distanz d vom Zentrum z zum Lot auf die Sehne ist 500 * 0,995184727 = 497,592363
bzw. die Höhe h der Kalotte ist 500 - d = 500 - 497,592363 = 2,407637
Damit ergeben sich die Koordinaten der obersten Sehne s mit x = z-s/2 = 450,99143, y = 25 + h = 27,407637
oder wie hier relativ zum Zentrum z: x = - s/2 = -49,0085701 und y = - d = -497,592363
Date
Source Own work based on: Polygon-032.svg by Antonsusi
Author Sarang
SVG development
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The SVG code is valid.
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This trigonometry was created with a text editor.
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Please do not replace the simplified code of this file with a version created with Inkscape or any other vector graphics editor
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<?xml version="1.0"?>
<svg xmlns="http://www.w3.org/2000/svg" width="1050" height="1050"
xmlns:xlink="http://www.w3.org/1999/xlink" viewBox="-525 -525 1050 1050">
<g id="e"><g id="d"><g id="c"><g id="b">
<path id="a" stroke="#000" d="m-49.01-497.59h98.02"/>
<use xlink:href="#a" transform="rotate(11.25)"/></g>
<use xlink:href="#b" transform="rotate(22.5)"/></g>
<use xlink:href="#c" transform="rotate(45)"/></g>
<use xlink:href="#d" transform="rotate(90)"/></g>
<use xlink:href="#e" transform="rotate(180)"/>
</svg>

Licensing[edit]

Public domain This image of simple geometry is ineligible for copyright and therefore in the public domain, because it consists entirely of information that is common property and contains no original authorship.
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Date/TimeThumbnailDimensionsUserComment
current10:08, 12 June 2021Thumbnail for version as of 10:08, 12 June 20211,050 × 1,050 (517 bytes)Sarangbot (talk | contribs){{Information |description={{en|Regular 32-gon; drawn with viewBox and cloning}} {{de|Regelmäßiges 32-Eck}} |date=2021 |source={{based|Polygon-032.svg|by=Antonsusi}} |author={{U|Sarang}} |other versions= |other fields={{Igen|T|+|s=t|5=b|6=c|S-|c1= <?xml version="1.0"?> <svg xmlns="http://www.w3.org/2000/svg" width="1050" height="1050" xmlns:xlink="http://www.w3.org/1999/xlink" viewBox="-525 -525 1050 1050"> <g id="e"><g id="d"><g id="c"><g id="b"> <path id="a" stroke="#000" d="m-49.08-497.585...

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