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


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


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): $3$
This article is issued from ProofWiki. The text is available under Creative Commons Attribution-ShareAlike License unless otherwise noted. Additional terms may apply for the media files.