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Beyond Pythagoras  

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Beyond Pythagoras Aim I am conducting this investigation to discover formulae that will allow me to calculate many Pythagorean triples. I will first find formulae for odd Pythagorean triples and then even ones. For each, I will find formulae for `a', `b', `c', perimeter and area, all in terms of `n'. After this I hope to discover a general formula for all Pythagorean triples, although it is unlikely that I will. Contents Page Number 1 Aim and Contents 2 Odd and Even Tables of Pythagorean triples 3 Odd Formula for `a' in terms of `n' 4 Odd Formula for `b' and `c' in terms of `a' 5 Odd Formula for `b' and `c' in terms of `n' 6 Odd Perimeter and Area in terms of `n' 7 Even Formula for `a' in terms of `n' 8 Even Formula for `b' and `c' in terms of `a' 9 Even Formula for...

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