This is the historical breakthrough in mathematics which emphasizes the authenticity and superiority of geometry over the derivative calculation methods; now confronted with a serious challenge since the classic problem of angle trisection is solved generally, using straightedge and compass. An action occurred once, can take place for n times.
Click on the trisection tab for proof
Building two cubes upon the two line segments LM and MN, the volume of the first one would be twice as that of the second one.
We have exceedingly raised the precision in mathematics.