Pythagorean numbers

From Encyclopedia of Mathematics
Revision as of 16:56, 7 February 2011 by (talk) (Importing text file)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search

Triplets of positive integers satisfying . Any solution to this equation, and consequently all (possibly after switching only) Pythagorean numbers, can be expressed as , , , where and are positive integers . The Pythagorean numbers can be interpreted as the sides of a right-angled triangle (cf. Pythagoras theorem).



[a1] G.H. Hardy, E.M. Wright, "An introduction to the theory of numbers" , Oxford Univ. Press (1979) pp. Chapt. XIII
How to Cite This Entry:
Pythagorean numbers. Encyclopedia of Mathematics. URL:
This article was adapted from an original article by BSE-3 (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article