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

**References**

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

© 1996-9

1999-05-26