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:
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Think, in square rooms,
Looking at the floor,
Looking at the ceiling.
They confine themselves
To right-angled triangles.”
—Wallace Stevens (1879–1955)