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
Dreiteilung des Winkels 60°, Näherungskonstruktion
Trisection of the angle 60°, Proximity construction
Dreiteilung des Winkels, Näherungskonstruktion
Trisection of an angle, proximity construction
Dreiteilung des Winkels mit 5 Winkelhalbierungen, Näherungskonstruktion
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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Category:CC-BY-SA-4.0#01-Angle%20trisection-Animation.gifCategory:Self-published work
Category:Non-SVG images by Petrus3743 Category:Geometric constructions Category:Angle trisection Category:Animations of geometry Category:Animations of ruler and compass constructions Category:Animated GIF files Category:Approximation
Category:Angle trisection Category:Animated GIF files Category:Animations of geometry Category:Animations of ruler and compass constructions Category:Approximation Category:CC-BY-SA-4.0 Category:Geometric constructions Category:Non-SVG images by Petrus3743 Category:Self-published work