File:01-23-Eck-Näherung-E-15.svg
Original file (SVG file, nominally 797 × 598 pixels, file size: 550 KB)
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Contents
Summary
[edit]Description01-23-Eck-Näherung-E-15.svg |
Deutsch: 23-Eck, Näherungskonstruktion
English: Icositrigon, proximity construction |
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 23-Ecks in GeoGebra (Anzeige max. 15 Nachkommastellen)
- Seitenlänge des 23-Ecks
- Absoluter Fehler der konstruierten Seitenlänge
- Bis zu den max. angezeigten 15 Nachkommastellen ist der absolute Fehler
- Konstruierter Zentriwinkel des 23-Ecks in GeoGebra (Anzeige signifikante 13 Nachkommastellen, gerundet)
- Zentriwinkel des 23-Ecks
- Absoluter Fehler des konstruierten Zentriwinkels
- Bis zu den gerundet 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 icositrigon in GeoGebra (Display max 15 decimal places)
- Side length of the icositrigon
- Absolute error of the constructed side length
- Up to the max. displayed 15 decimal places is the absolute error
- Constructed central angle of the icositrigon in GeoGebra (display significant 13 decimal places, rounded)
- Central angle of the icositrigon
- Absolute error of the constructed central angle
- Up to the rounded 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.
File history
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 10:48, 29 March 2018 | 797 × 598 (550 KB) | Petrus3743 (talk | contribs) | Grafikfehler korr. | |
11:03, 27 March 2018 | 797 × 598 (550 KB) | Petrus3743 (talk | contribs) | Konstruktion vereinfacht | ||
10:48, 26 March 2018 | 802 × 596 (561 KB) | Petrus3743 (talk | contribs) | Fläche mit Farbe | ||
16:38, 25 March 2018 | 802 × 596 (561 KB) | Petrus3743 (talk | contribs) | User created page with UploadWizard |
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Width | 22.505489195232673cm |
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Height | 16.879116896424502cm |