Two magnitudes whether commensurable or incommensurable, balance at distances reciprocally proportional to the magnitudes.

Eureka! [I have found it!] On discovery of a method to test the purity of gold.

Man has always learned from the past. After all, you can't learn history in reverse!

The diameter of the earth is greater than the diameter of the moon and the diameter of the sun is greater than the diameter of the earth.

Having been the discoverer of many splendid things, he is said to have asked his friends and relations that, after his death, they should place on his tomb a cylinder enclosing a sphere, writing on it the proportion of the containing solid to that which is contained.

The centre of gravity of any parallelogram lies on the straight line joining the middle points of opposite sides.

Archimedes to Eratosthenes greeting. ... certain things first became clear to me by a mechanical method, although they had to be demonstrated by geometry afterwards because their investigation by the said method did not furnish an actual demonstration. But it is of course easier, when we have previously acquired by the method, some knowledge of the questions, to supply the proof than it is to find it without any previous knowledge.