File:21-Eck-Näherung.svg
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Contents
Summary
[edit]Description21-Eck-Näherung.svg |
Deutsch: Einundzwanzigeck, Näherungskonstruktion bei gegebenem Umkreisradius
English: Icosihenagon, approximation at given circumcircle |
Date | |
Source | Own work |
Author | Petrus3743 |
SVG development InfoField |
Näherungsonstruktion
[edit]- Die Methode ähnelt der des Dreizehnecks
Ergebnis
[edit]Bezogen auf den Einheitskreis r = 1 [LE]
[edit]- Konstruierte Seitenlänge des 21-Ecks in GeoGebra (Anzeige max. 15 Nachkommastellen)
- Seitenlänge des 21-Ecks
- Absoluter Fehler der konstruierten Seitenlänge
- Bis zu den max. angezeigten 15 Nachkommastellen ist der absolute Fehler
- Konstruierter Zentriwinkel des 21-Ecks in GeoGebra (Anzeige signifikante 13 Nachkommastellen)
- Zentriwinkel des 21-Ecks
- Absoluter Fehler des konstruierten Zentriwinkels
- Bis zu den angezeigten signifikanten 13 Nachkommastellen ist der absoluter Fehler
Beispiel um den Fehler zu verdeutlichen
[edit]Bei einem Umkreisradius r = 1 Mrd. km (das Licht bräuchte für diese Strecke ca. 55 min), wäre der absolute Fehler der konstruierten Seitenlänge < 1 mm.
Approximate construction
[edit]- The method is similar to that of the Tridecagon
Result
[edit]Based on the unit circle r = 1 [unit of length]
[edit]- Constructed side length of the icosihenagon in GeoGebra (display max 15 decimal places)
- Side length of the icosihenagon
- Absolute error of the constructed side length
- Up to the max. displayed 15 decimal places is the absolute error
- Constructed central angle of the icosihenagon in GeoGebra (display significant 13 decimal places)
- Central angle of the icosihenagon
- Absolute error of the constructed central angle
- Up to the indicated significant 13 decimal places is the absolute error
Example to illustrate the error
[edit]At a circumscribed circle radius r = 1 billion km (the light needed for this distance about 55 minutes), the absolute error of the 1st side would be < 1 mm.
Licensing
[edit]- 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.
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current | 17:05, 13 September 2018 | 1,205 × 887 (523 KB) | Petrus3743 (talk | contribs) | User created page with UploadWizard |
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Width | 34.01964714656053cm |
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Height | 25.03732866919424cm |