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Triangles, surds and pell’s equation

Published online by Cambridge University Press:  01 August 2016

Robert J. Clarke
Robert J. Clarke*
Affiliation:
11 Lansdowne Court, Stourbridge DY9 0RL
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Extract

This article shows a link between Pell’s equation and the right-angled triangles for 60° and 45° via the trigonometric ratios for 15° and the extraction of square roots.

It is well known that the trigonometric ratios of 60°, 30° and 45° are easily obtained from the triangles ABC and RST which are shown in Figure 1.

Type
Articles
Information
The Mathematical Gazette , Volume 83 , Issue 497 , July 1999 , pp. 221 - 225
Copyright
Copyright © The Mathematical Association 1999

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References

1. Edwards, Harold M., Fermat’s Last Theorem – a genetic introduction to algebraic number theory, Springer-Verlag (1977).Google Scholar