File:01-Elfeck-3.svg
Original file (SVG file, nominally 1,160 × 862 pixels, file size: 402 KB)
Captions
Contents
Summary
[edit]Description01-Elfeck-3.svg |
Deutsch: Elfeck, Näherungskonstruktion
English: Hendecagon, approximate construction |
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]
[edit]- 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
[edit]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
[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 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
[edit]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.
Weblinks
[edit]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
Click on a date/time to view the file as it appeared at that time.
Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 09:50, 29 April 2018 | 1,160 × 862 (402 KB) | Petrus3743 (talk | contribs) | Die richtige Datei! | |
09:45, 29 April 2018 | 866 × 862 (402 KB) | Petrus3743 (talk | contribs) | Neukonstruktion | ||
08:38, 4 July 2016 | 1,401 × 902 (267 KB) | Petrus3743 (talk | contribs) | Konstruktion vereinfacht | ||
21:10, 30 March 2016 | 1,253 × 897 (293 KB) | Petrus3743 (talk | contribs) | User created page with UploadWizard |
You cannot overwrite this file.
File usage on Commons
The following page uses this file:
File usage on other wikis
The following other wikis use this file:
- Usage on de.wikibooks.org
Metadata
This file contains additional information such as Exif metadata which may have been added by the digital camera, scanner, or software program used to create or digitize it. If the file has been modified from its original state, some details such as the timestamp may not fully reflect those of the original file. The timestamp is only as accurate as the clock in the camera, and it may be completely wrong.
Width | 32.724818472659734cm |
---|---|
Height | 24.315654592688347cm |