  In 1987, Orrin Frink introduced the concept of almost Pythagorean triples. He
defined them as an ordered triple $(x,y,z)$ that satisfies the equation
$x^2+y^2=z^2+1$ where $x,y$ and $z$ are positive integers. In his paper, he
showed that there were infinitely many almost Pythagorean triples by giving a
characterization which suggests a method on generating all of them. However,
this method does not explicitly and readily give a particular almost
Pythagorean triple. In this note, using basic algebraic operations, we extend
his result by giving a characterization that explicitly and readily give a
particular almost Pythagorean triple.
