Hostname: page-component-78c5997874-ndw9j Total loading time: 0 Render date: 2024-11-11T07:48:53.366Z Has data issue: false hasContentIssue false
  • English
  • Français

Rational Triangles

Published online by Cambridge University Press:  03 November 2016

R. L. Goodstein
Get access Rights & Permissions [Opens in a new window]

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 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)