Generating Triples Using A Square
Start with any square number . Express that number in the form ; then will produce another square such that . For instance:
Let ; then, and .
Let ; then, and .
This works because . If we add, our expression becomes, which factors into the form .
Read more about this topic: Formulas For Generating Pythagorean Triples
Famous quotes containing the word square:
“This house was designed and constructed with the freedom of stroke of a forester’s axe, without other compass and square than Nature uses.”
—Henry David Thoreau (1817–1862)