Trisecting the Angle/Cissoid of Diocles

Theorem

Let $\alpha$ be an angle which is to be trisected.

This can be achieved by means of a cissoid of Diocles.

Construction

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Proof

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Also see

• Trisection of Angle by Neusis Construction

Historical Note

The technique of trisecting an angle by means of the cissoid of Diocles was used by Diocles of Carystus.

Sources

• 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $3$
• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $3$