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 Fraction
See also
Pythagorean TripleExplore with Wolfram|Alpha
References
Conway, J. H. and Guy, R. K. "Pythagorean Fractions." In The Book of Numbers. New York: Springer-Verlag, pp. 171-173, 1996.Referenced on Wolfram|Alpha
Pythagorean FractionCite this as:
Weisstein, Eric W. "Pythagorean Fraction." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/PythagoreanFraction.html