Construction of Pythagorean and Reciprocal Pythagorean n-tuples
摘要
This chapter focused on a study to generate Pythagorean and Reciprocal Pythagorean Triples with two of three same legs by using the following Lemma: If (x, y, z) is a Pythagorean triple, then (y z, x z, x y) is a Reciprocal Pythagorean triple, (y z, x z, z2) is a Pythagorean triple and vice versa. Extended this Lemma to generate at most all Pythagorean and Reciprocal Pythagorean n-tuples.