File:01-Achtzehneck-Animation.gif
Original file (741 × 678 pixels, file size: 41 KB, MIME type: image/gif, looped, 38 frames, 56 s)
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Summary
editDescription01-Achtzehneck-Animation.gif |
Deutsch: Achtzehneck, Animation der Näherungskonstruktion English: Octadecagon, animation of the approximate construction |
Date | |
Source | Own work |
Author | Petrus3743 |
Other versions |
Konstruktionsprinzip, Design principle
editNäherungskonstruktion
edit- Den Winkel 60° mit vier Winkelhalbierende (w1 ...w4) verkleinern und den Kreisbogen MOC zwischen Winkelhabierende w3 und w4 mit folgender Näherungslösung dritteln.
- Gerade Hilfslinie g visiert über Punkt O den Punkt N an (quasi ein Lineal an die Punkte O und N angelegt), zwischen O und N daher keine Hilfslinie
- Radius
Proximity construction
edit- Reduce the angle 60° with four angle bisectors (w1 ... w4) and thirds the arc between MOC bisector w3 and w4 with the following approximate solution.
- Straight auxiliary line g aims over the point O to the point N (virtually a ruler at the points O and N applied), between O and N, therefore no auxiliary line
- Radius
Fehler, Error
editBei einem Umkreisradius r = 1 [LE]:
- Konstruierte Neuneckseite s1 = 0,347296355243719... [LE]
- Neuneckseite s = 2 • sin(10°) = 0,347296355333861... [LE]
- Absoluter Fehler = s1 − s = -9,01...E-11 [LE]
- Bei einem Umkreisradius r = 100 000 km wäre der absolute Fehler der 1. Seite ≈ -9 mm
At a circumscribed circle radius r = 1 [unit of length]:
- Constructed side of nonagon s1 = 0,347296355243719... [unit of length]
- Side of nonagon s = 2 • sin(10 °) = 0,347296355333861... [unit of length]
- Absolute error = s1 - s = -9,01... E-11 [unit of length]
- At a circumscribed circle radius r = 100 000 km would be the absolute error of the 1st side ≈ -9 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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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 11:48, 23 October 2015 | 741 × 678 (41 KB) | Petrus3743 (talk | contribs) | Punkt D entfernt | |
14:03, 22 October 2015 | 791 × 705 (42 KB) | Petrus3743 (talk | contribs) | Beschriftung der Punkte angepasst | ||
07:31, 22 October 2015 | 968 × 872 (86 KB) | Petrus3743 (talk | contribs) | User created page with UploadWizard |
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