Badiger, Arvind N.
(2012)
Generating PPTs-letter received from the reader.
At Right Angles, 1 (2).
p. 1.
ISSN 2582-1873
Abstract
Describes another way of generating Primitive Pythagorean Triples (PPTs). Let x be a positive rational number, and let a = x, b = (x 2 − 1)/2, c = (x 2 + 1)/2; then a, b, c are rational numbers such that a 2 + b 2 = c 2 and c − b = 1. To ensure that a, b, c are in ascending order we must have x > 2 + 1 . 2 . 414 . By choosing x appropriately and af- ter multiplying by an appropriate constant to clear fractions we get a family of PPTs in which c − b has a
constant difference; i.e., the difference between the largest two numbers in the triple is a constant. Here
are some examples.
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