Number Theory > Arithmetic > Fractions v
Number Theory > Diophantine Equations v

Pythagorean Fraction

Given a Pythagorean triple , the fractions and are called Pythagorean fractions. Diophantus showed that the Pythagorean fractions consist precisely of fractions of the form .

 

Pythagorean Triple




References

Conway, J. H. and Guy, R. K. "Pythagorean Fractions." In The Book of Numbers. New York: Springer-Verlag, pp. 171-173, 1996.




cite this as

Eric W. Weisstein. "Pythagorean Fraction." From MathWorld--A Wolfram Web Resource. ../topics/PythagoreanFraction.html



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