Definition:Generator for Pythagorean Triple

Definition

Let $P = \left\{ {a, b, c}\right\}$ be a Pythagorean triple

A generator for $P$ is an ordered pair:

$G = \left({m, n}\right)$

where $m, n \in \Z$ such that:

$a = 2 m n$

$b = m^2 - n^2$

$c = m^2 + n^2$

Also see

• Solutions of Pythagorean Equation
• Definition:Generator for Primitive Pythagorean Triple

Sources

• Weisstein, Eric W. "Pythagorean Triple." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/PythagoreanTriple.html