| This would be an improvement on Antiphon's argument and Bryson is getting close to the method of exhaustion as rigorously applied by Archimedes. |
| By the time of Archimedes, it is likely that screws of wood already were being used for vises and for fruit presses. |
| His methods for calculating lengths of arcs of circles were more sophisticated than the Greek methods of Archimedes. |
| According to Plutarch, Archimedes used a polypaston, or block and tackle, with a large number of sheaves. |
| The wreath was supposedly made of pure gold, and Archimedes had to determine whether the goldsmith had replaced some of the gold with silver. |
| Using a different approach, Archimedes found the surface area of a sphere, and the surface area of any segment of a sphere. |
