File:01-Angle trisection-Animation.gif
Summary
| Description |
Deutsch: Dreiteilung des Winkels, Näherungskonstruktion als Animation English: Trisection of an angle, proximity construction as animation |
| Date | |
| Source | Own work |
| Author | Petrus3743 |
| Other versions |
Trisection of the angle 60°, Proximity construction Trisection of an angle, proximity construction Trisection of an angle with 5 bisections of angle, proximity construction |
Konstruktionsprinzip, Design principle
- Näherungskonstruktion
- Den gegebenen Winkel (wenn 180° ≥ > 90°) bzw. den Ergänzungswinkel (wenn 0° < ≤ 90°) mit vier Winkelhalbierenden verkleinern und den Kreisbogen MFG zwischen Winkelhabierende w3 und w4 mit einer Näherungslösung dritteln.
- Proximity construction
- Reduce the given angle (if 180° ≥ > 90°) or the complementary angle (if 0° < ≤ 90°) with four angle bisector and the circular arc MFG, between w3 and w4, and thirds him with an approximate solution.
Fehler, Error
- Max. Winkelfehler von β: δ ≈ ±1,27E-6°, wenn Winkel α nahezu 0° bzw. 180° ist.
- Bei einem Radius r = MA = 100 km wäre somit der max. Fehler an der Sehne ±2,2 mm
- Max. angle error of β: δ ≈ ±1.27E-6°, when angle α is almost 0° or 180°.
- At a radius r = MA = 100 km would thus be the max. error on the chord ±2.2 mm
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