Definition:Pythagorean Equation

Definition
The Pythagorean equation is the Diophantine equation:
 * $x^2 + y^2 = z^2$

where $x, y, z$ are integers such that $x, y, z > 0$.

Solutions of this equation are known as Pythagorean triples.

Also see

 * Definition:Primitive Pythagorean Triple


 * Solutions of Pythagorean Equation