Trisecting the Angle/Quadratrix of Hippias

Theorem

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

This can be achieved by means of a quadratrix of Hippias.

Construction

This article is incomplete. You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by expanding it. To discuss this page in more detail, feel free to use the talk page. When this work has been completed, you may remove this instance of {{Stub}} from the code. If you would welcome a second opinion as to whether your work is correct, add a call to {{Proofread}} the page.

Proof

This theorem requires a proof. You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by crafting such a proof. To discuss this page in more detail, feel free to use the talk page. When this work has been completed, you may remove this instance of {{ProofWanted}} from the code. If you would welcome a second opinion as to whether your work is correct, add a call to {{Proofread}} the page.

Also see

• Trisection of Angle by Neusis Construction

Historical Note

Use of the quadratrix of Hippias to trisect an angle was a invented by Hippias of Elis.

Sources

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