DUPLICATION OF THE CUBE.
The Duplication of the Cube it is asserted can readily be demonstrated. It is usually called the Delian Problem, from its having been suggested by the oracle of Apollo at Delphos, requiring that Apollo's cubical altar should be doubled.
It is something in its favour to say that the enquiry has had the attention of Newton and of Huygens.
TRISECTION OF AN ANGLE.
Lastly, we shall notice among problems of this class—the Trisection of an Angle, which it is asserted can only be accomplished by means of the conic sections and some other curves.
A rule for the cubic equation by which the problem of trisection is solved has been given by Cardan.
The difficulty only arises when we attempt the trisection of any other than a right angle, its trisection being easily effected with a pair of compasses.
On this subject it has been observed that, "there is no more trouble in trisecting an angle, not a right angle, than in finding a cube root."