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You are not logged in. #1 20081130 20:56:09
Euclid's ProofEuclid had proved that there are an infinite number of Pythagorean Triples. Character is who you are when no one is looking. #2 20081211 00:18:32
Re: Euclid's ProofEuclid's Proof Character is who you are when no one is looking. #3 20081212 08:05:29
Re: Euclid's ProofGreat observations, but I would hardly call that a proof. More a sketch or an outline. Of course, a much more sophisticated proof will show that Is not only always a Pythagorean triple for any m and n (hence, there are an infinite number of them), but all primitive Pythagorean triples may be described in this way. "In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..." 