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Pythagorean ratios in arithmetic progression, part i. three Pythagorean ratios

Published online by Cambridge University Press:  18 May 2009

John Leech
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Let {a, b} designate the Pythagorean ratio (a2 - b2)/2ab between the sides of a rational right angled triangle. This paper studies the circumstances in which Pythagorean ratios can occupy consecutive places in an arithmetic progression. Part I deals with sets of three such ratios, while Part II discusses sets of four ratios.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 35 , Issue 3 , September 1993 , pp. 395 - 407
Copyright
Copyright © Glasgow Mathematical Journal Trust 1993

References

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