Skip to main content

Thank you for visiting nature.com. You are using a browser version with limited support for CSS. To obtain the best experience, we recommend you use a more up to date browser (or turn off compatibility mode in Internet Explorer). In the meantime, to ensure continued support, we are displaying the site without styles and JavaScript.

  • Letter
  • Published:

Problems of Geometry

Abstract

IN Klein's “Famous Problems of Elementary Geometry,” geometrical proofs are given for solving the problems of “the duplication of the cube” and “the trisection of an angle” by means of the cissoid and the conchoid respectively. I find, however, that in “Chambers' Encyclopædia” it is stated, without proof, that the cissoid and the conchoid are capable of furnishing geometrical constructions for the solution of both problems. Can any of your readers furnish me with the necessary references, or supply a proof of the “trisection of an angle” by means of the cissoid, and of the “duplication of the cube” by means of the concizoid?

This is a preview of subscription content, access via your institution

Access options

Buy this article

Prices may be subject to local taxes which are calculated during checkout

Similar content being viewed by others

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

BASSET, A. Problems of Geometry. Nature 64, 400 (1901). https://doi.org/10.1038/064400a0

Download citation

  • Issue date:

  • DOI: https://doi.org/10.1038/064400a0

Search

Quick links

Nature Briefing

Sign up for the Nature Briefing newsletter — what matters in science, free to your inbox daily.

Get the most important science stories of the day, free in your inbox. Sign up for Nature Briefing