Diophantus's Method for Generating Pythagorean Triples

Diophantus, an ancient Egyptian mathematician (he lived in the 200's), created the following way of generating pythagorean triples.

Take any two integers and find:

• twice their product


• the difference of their squares


• the sum of their squares

Reference Information: Professor Stewart's Cabinet of Mathematical Curiosities

This may be useful to those of you studying Pythagorean triples.