“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.”

“How many theorems in geometry which have seemed at first impracticable are in time successfully worked out!”

“Primum non nocerum. (First do no harm)”

“Give me a place to stand, and a lever long enough, and I will move the world.”

“Mathematics reveals its secrets only to those who approach it with pure love, for its own beauty.”

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

“Rise above oneself and grasp the world.”