Calculation of the centre of gravity of the cone utilizing the method of Archimedes

Archimedes calculated the centre of gravity of the cone but the proof of this theorem is not extant in his works. Knorr made a reconstruction of this proof utilizing geometrical arguments. This paper proves this theorem by means of a physical demonstration utilizing the law of the lever, and by adapting from Archimedes the method of mechanical theorems that he described in his letter to Eratosthenes.33363764