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Rational Triangles

Published online by Cambridge University Press:  03 November 2016

R. L. Goodstein
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Extract

Triangles with integral sides and circumradius.

A general formula giving such triangles was stated by Gauss, we propose to find a general formula giving prime solutions—that is, a formula giving integral sides and circumradius, a, b, c, R, which have highest common factor unity

If α β γ are the angles of an integral triangle, then sin α, sin β, sin δ and cos α, cos β, cos γ are rational.

Type
Research Article
Information
The Mathematical Gazette , Volume 23 , Issue 255 , July 1939 , pp. 264 - 267
Copyright
Copyright © Mathematical Association 1939 

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