Pythagoras was a mathematician and philosopher who believed mathematics was found
in nature. He lived between 1600 BC and 1400 BC. While ancient Greeks had observed the
relationship between the side lengths of right triangles and corresponding area, the concept never
appeared in print until Euclid. Pythagoras opened a school of religion and mathematics. The
work of Pythagoras himself or work produced by others at the school has not been distinguished.
Either Pythagoras or a student’s of his actually proved the famous Pythagorean Theorem, which
asserts that given a right triangle, the sum of the squared side lengths equals the square of the
hypotenuse. Most of his work was geometrical as pertained to nature. Please note that
throughout this paper I am using the typical variables of a triangle with vertices A, B and C and
side lengths a, b, and c accordingly where c is the hypotenuse.