Trisecting the Angle/Conchoid of Nicomedes

Theorem

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

This can be achieved by means of a conchoid of Nicomedes.

Construction

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Proof

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Also see

• Trisection of Angle by Neusis Construction

Historical Note

While Nicomedes originally designed his conchoid for Doubling the Cube, it can also be used for the technique of trisecting an angle.

Sources

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