Trisecting in A Sentence

    1

    Although Hippocrates could not determine the proportionals, his statement of the problem in this form was a great advance, for it was perceived that the problem of trisecting an angle was reducible to a similar form which, in the language of algebraic geometry, is to solve geometrically a cubic equation.

    2

    He also considered the equation associated with the problem of trisecting an angle, namely a cubic equation.

    3

    His investigation of the properties of amicable numbers and of the problem of trisecting an angle, are of importance.

    4

    It became known as the "Delian problem" or the "problem of the duplication of the cube," and ranks in historical importance with the problems of "trisecting an angle" and "squaring the circle."

    5

    The curve also permits the solution of the problems of duplicating a cube and trisecting an angle.