File:01-Angle trisection-Animation.gif

Summary[edit]

Description01-Angle trisection-Animation.gif	Deutsch: Dreiteilung des Winkels, Näherungskonstruktion als Animation English: Trisection of an angle, proximity construction as animation
Date	19 May 2015
Source	Own work
Author	Petrus3743
Other versions

Konstruktionsprinzip, Design principle[edit]

• Näherungskonstruktion
  • Den gegebenen Winkel (wenn 180° ≥ ${\displaystyle \alpha }$ > 90°) bzw. den Ergänzungswinkel (wenn 0° < ${\displaystyle \alpha }$ ≤ 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° ≥ ${\displaystyle \alpha }$ > 90°) or the complementary angle (if 0° < ${\displaystyle \alpha }$ ≤ 90°) with four angle bisector and the circular arc MFG, between w₃ and w₄, and thirds him with an approximate solution.

Fehler, Error[edit]

• 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

Licensing[edit]

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