File:01-257-Eck E-15.svg
Original file (SVG file, nominally 1,198 × 863 pixels, file size: 393 KB)
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Contents
Summary[edit]
Description01-257-Eck E-15.svg |
Deutsch: 257-Eck, Näherungskonstruktion der ersten Seite
English: 257-gon, approximate construction of the first side |
Date | |
Source | Own work |
Author | Petrus3743 |
Other versions | |
SVG development InfoField |
Näherungsonstruktion[edit]
- Die Methode ähnelt der des Dreizehnecks
Ergebnis[edit]
Bezogen auf den Einheitskreis r = 1 [LE]
- Konstruierte Seite des 257-Ecks in GeoGebra (Anzeige 15 signifikante Nachkommastellen, gerundet)
- Seite des 257-Ecks, 15 signifikante Nachkommastellen, ebenfalls gerundet
- Absoluter Fehler der konstruierten Seite
- Konstruierter Zentriwinkel in GeoGebra (Anzeige 14 signifikante Nachkommastellen, gerundet)
- Zentriwinkel des 257-Ecks, 14 signifikante Nachkommastellen, ebenfalls gerundet
- Absoluter Fehler des konstruierten Zentriwinkels
Beispiel um den Fehler zu verdeutlichen[edit]
Bei einem Radius r = 1 Mrd. km (das Licht bräuchte für diese Strecke ca. 55 min) wäre der absolute Fehler der konstruierten Seitenlänge a < 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]
- Constructed side of 257-gon in GeoGebra (Display 15 significant decimal places, rounded)
- Side of the 257-gon, 15 significant decimals, also rounded
- Absolute error of the constructed side in GeoGebra
- Constructed central angle in GeoGebra (Display 14 significant decimal places, rounded)
- Central angle of the 257-gon in GeoGebra, 14 significant decimals, also rounded
- Absolute error of the constructed central angle
Example to illustrate the error[edit]
At a radius r = 1 billion km (the light would need about 55 min for this distance) the absolute error of the first side a 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 | |
---|---|---|---|---|---|
current | 17:30, 5 May 2018 | 1,198 × 863 (393 KB) | Petrus3743 (talk | contribs) | Konstruktion vereinfacht | |
11:59, 16 July 2016 | 1,278 × 915 (289 KB) | Petrus3743 (talk | contribs) | Konstruktion vereinfacht | ||
11:03, 30 April 2016 | 1,270 × 962 (284 KB) | Petrus3743 (talk | contribs) | Position von Punktebezeichnungen korrigiert | ||
06:31, 19 April 2016 | 1,270 × 962 (284 KB) | Petrus3743 (talk | contribs) | Grafikfehler korrigiert | ||
23:48, 18 April 2016 | 1,270 × 916 (280 KB) | Petrus3743 (talk | contribs) | User created page with UploadWizard |
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Width | 33.805514232334744cm |
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Height | 24.349426335178173cm |