Since bisecting an angle boils down to bisecting a line segment, can't you trisect an angle by following the same process as to bisect it, but then trisecting the segment ( which is easy ) rather than bisecting it ?-- talk ) 21 : 14, 28 November 2009 ( UTC)
22.
With these concepts, Pierre Wantzel ( 1837 ) proved that straightedge and compass alone cannot trisect an arbitrary angle nor Hermite showed that a straightedge and compass quadrature of the circle ( construction of a square equal in area to a given circle ) was also impossible by proving that [ [ Pi | ] ] is a transcendental number.