There are three classical problems in Greek mathematics which were extremely important in the development of geometry. These problems were those of squaring the circle, doubling the cube and trisecting an angle. Although these are closely linked, we choose to examine them in separate articles. The present article studies the problem of doubling the cube, or duplicating the cube, or the Delian problem which are three different names given to the same classical problem. It is fair to say that although the problem of squaring the circle was to become the most famous in more modern times, certainly among amateur mathematicians, the problem of doubling the cube was certainly the more famous in the time of the ancient Greeks.

Doubling the cube.