Pierre Wantzel
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Pierre Laurent Wantzel (June 5, 1814 in ParisMay 21, 1848 in Paris) was a French mathematician who proved that several ancient geometric problems were impossible to solve.

In a paper from 18371, Wantzel proved that the problems of

  1. doubling the cube
  2. trisecting the angle and
  3. constructing a regular polygon whose number of sides is not the product of a power of 2 and any number of distinct Fermat primes (i.e. that does not fulfill the same conditions proven to be sufficient by Carl Friedrich Gauss)

the solution to which had been sought for thousands of years, particularly by the ancient Greeks, were all impossible to solve if one uses only compass and straightedge.

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