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==Streckfaktor ==
 
==Streckfaktor ==
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+
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Version vom 19. Juli 2010, 13:58 Uhr

Inhaltsverzeichnis

Regelmäßiges Fünfeck

Fünfeck

Ein n-Eck mit n= 5 ist ein Fünfeck.

regelmäßiges Fünfeck

Wenn die Seiten eines Fünfecks paarweise kongruent zueinander sind und alle Eckpunkte des Fünfecks auf ein und demselben Kreis liegen, so ist das Fünfeck regelmäßig.

Konstruktion eines regelmäßigen Fünfecks

  1. Konstruiere einen Kreis \ k mit dem Mittelpunkt \ M.
  2. Wähle auf \ k einen beliebigen Punkt \ A .
  3. Trage an \ MA^+ den Winkel \ \alpha an (Halbebene beliebig).
  4. Der Schnittpunkt des freien Schenkels des angetragenenen Winkels mit dem Kreis \ k ist der Punkt \ B.
  5. ...

regelmäßiges Fünfeck mit der Seitenlänge 1

goldener Schnitt: \Phi = \frac{1 + \sqrt{5}}{2}

Lösung_von_Aufgabe_7.3

Streckfaktor