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hagard
He gave the Pythagorean Theorem to the world.
An example is Pythagoras's Theorem: that the sum of the squares of the two shorter side lengths of a triangle with a right-angle is equal to the square of the length of the side opposite the right angle.
When you give reasons that something is true, but don't necessarily lay it out step-by-step, this is an informal proof. A formal proof, on the other hand, shows step-by-step statements with reasons given for each step.
They currently retail around $25, give or take a few dollars. Some dealers will give around $19 or so for it