File:01-Elfeck-3.svg

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Summary

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Description
Deutsch: Elfeck, Näherungskonstruktion
English: Hendecagon, approximate construction
Date
Source Own work
Author Petrus3743
Other versions
Elfeck, Animation einer Näherungskonstruktion
Hendekagon, Animation of an approximate construction
Elfeck, eine Näherungskonstruktion mit Anwendung des dritten Strahlensatzes
Hendecagon, an approximate construction with application of the third intercept theorem
SVG development
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The SVG code is valid.
 
This trigonometry was created with GeoGebra by Petrus3743.
 
This SVG trigonometry uses the path text method.

Näherungsonstruktion

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Ergebnis

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Bezogen auf den Einheitskreis r = 1 [LE]

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  • Konstruierte Seitenlänge des Elfecks in GeoGebra (Anzeige max. 15 Nachkommastellen)
  • Seitenlänge des Elfecks
  • Absoluter Fehler der konstruierten Seitenlänge:
Bis zu den max. angezeigten 15 Nachkommastellen ist der absolute Fehler
  • Konstruierter Zentriwinkel des Elfecks in GeoGebra (Anzeige signifikante 13 Nachkommastellen)
  • Zentriwinkel des Elfecks
  • Absoluter Winkelfehler vom konstruierten Zentriwinkel:
Bis zu den angezeigten signifikanten 13 Nachkommastellen ist der absoluter Fehler

Beispiel um den Fehler zu verdeutlichen

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Bei einem Umkreisradius r = 1 Mrd. km (das Licht bräuchte für diese Strecke ca. 56 min), wäre der absolute Fehler der konstruierten Seitenlänge < 1 mm.


Approximate construction

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Result

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Based on the unit circle r = 1 [unit of length]

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  • Constructed side lenght of the hendecagon in GeoGebra (Display max 15 decimal places)
  • Side lenght of the hendecagon
  • Absolute error of the constructed side length
Up to the max. displayed 15 decimal places is the absolute error
  • Constructed central angle of the hendecagon in GeoGebra (display significant 13 decimal places)
  • Central angle of the hendecagon
  • Absolute error of the constructed central angle
Up to the indicated significant 13 decimal places is the absolute error

Example to illustrate the error

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At a circumscribed circle radius r = 1 billion km (the light needed for this distance about 56 minutes), the absolute error of the 1st side would be < 1 mm.

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Wikibooks: Elfeck (Hendcagon) u. a. mit Konstruktionsbeschreibung, Hendcagon with description of the construction (German)]

Licensing

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I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.

File history

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Date/TimeThumbnailDimensionsUserComment
current09:50, 29 April 2018Thumbnail for version as of 09:50, 29 April 20181,160 × 862 (402 KB)Petrus3743 (talk | contribs)Die richtige Datei!
09:45, 29 April 2018Thumbnail for version as of 09:45, 29 April 2018866 × 862 (402 KB)Petrus3743 (talk | contribs)Neukonstruktion
08:38, 4 July 2016Thumbnail for version as of 08:38, 4 July 20161,401 × 902 (267 KB)Petrus3743 (talk | contribs)Konstruktion vereinfacht
21:10, 30 March 2016Thumbnail for version as of 21:10, 30 March 20161,253 × 897 (293 KB)Petrus3743 (talk | contribs)User created page with UploadWizard

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