Thinking Classic Tech

lassic problems To double the cube 1. Double the square Note It is impossible to construct a cube whose volume is twice that of a given volume. The reason is to do with the solutions of cubic equations. In 1837 Pierre Laurent Wantzel (born: 1814 in Paris, France; died: 1848 in Paris) published proofs on the means of deciding if a geometric problem can be solved with ruler and compasses. Gauss had stated that the problems of duplicating a cube and trisecting an angle could not be solved with ruler and compasses but he gave no proofs. In this 1837 paper Wantzel was the first to prove these results.