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New relations for the old triangle

2013/05/02 by Safin, Boris
#11A05 #11A07 #11D09 #FOS: Mathematics #History and Overview (math.HO)

paper · doi:10.48550/arxiv.1305.0728

Abstract

In this note we show that in addition to two integers forming a Pythagorean triple, there also exist two irrational numbers in terms of which this Pythagorean triple can also be obtained. We also put forward a relation between these two pairs and the hypotenuse of a Pythagorean triangle.

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