Classic problems
To double the cube
1. Double the square
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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. |
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