Foundations of Geometry

It has been known for some time that the Pythagorean Theorem did not originate with Pythagoras. He is credited, however, with having given the first proof thereof— a credit not in serious doubt as far as Western mathematics is concerned1. There are other early proofs from China and India, with the Chinese claiming priority by a period of time that is not determined too exactly by the references at hand.2 But, except for ethnic bragging rights— and I am neither Greek nor Chinese nor Hindi— the earliest authorship is unimportant. What I wish to discuss is not the original discoverer of the proof, but the original proof and form of the result.


Deductive System Irrational Number Regular Polygon Golden Ratio Interior Angle 
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© Springer Science+Business Media, LLC 2008

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