Opening The Method — Archimedes in Plato Scroll… Continue →
Archimedes · Lydia G. Robinson, from J. L. Heiberg's German (1909)
Archimedes to Eratosthenes, Greeting: Some time ago I sent you some theorems I had discovered, writing down only the propositions because I wished you to find their demonstrations which had not been given. The propositions of the theorems which I sent you were the following: 1. If in a perpendicular prism with a parallelogram for base a cylinder is inscribed which has its bases in the opposite parallelograms and its surface touching the other planes of the prism, and if a plane is passed through the center of the circle that is the base of the cylinder and one side of the square lying in the opposite plane, then that plane will cut off from the cylinder a section which is bounded by two planes, the intersecting plane and the one in which the base of the cylinder lies, and also by as much of the surface of the cylinder as lies between these same planes; and the detached section of the …
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