The Sulva Sutras contain rules for finding
Pythagorean triples of integers, such as (3, 4, 5), (5, 12, 13), (8, 15, 17), and (12, 35, 37). It is not certain what practical use these arithmetic rules had. They may have been motivated
by religious ritual.
A Hindu home was required to have three fires burning at three different altars.
The three altars were to be of different shapes, but all three were to have the same area. These conditions
led to certain "Diophantine" problems,
a particular case of which is the generation of Pythagorean triples,
so as to make one square integer equal to the sum of two others.
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