Beyond Pythagoras

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 For...