Title: Famous problems of geometry and how to solve them /
Authors: Bold, Benjamin.
Publisher: Dover Publications,
Year: 1982
Subjects: Geometry Famous problems
Abstract: It took two millennia to prove the impossible; that is, to prove it is not possible to solve some famous Greek problems in the Greek way (using only straight edge and compasses). In the process of trying to square the circle, trisect the angle and duplicate the cube, other mathematical discoveries were made; for these seemingly trivial diversions occupied some of history's great mathematical minds.^
Contents: Achievement of the ancient Greeks -- An analytic criterion for constructibility -- Complex numbers -- The Delian problem -- The problem of trisecting an angle -- The problem of squaring a circle -- The problem of constructing regular polygons -- Concluding remarks.