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Pierre Wantzel
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Pierre Laurent Wantzel (June 5 , 1814 in Paris – May 21 , 1848 in Paris) was a French mathematician who proved that several ancient geometric problems were impossible to solve.
In a paper from 1837 1 , Wantzel proved that the problems of
doubling the cube
trisecting the angle and
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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