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?
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