Pythagorean Fraction

Given a Pythagorean Triple , the fractions and are called Pythagorean fractions. Diophantusshowed 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.

• Lagrange Expansion
• Lagrange Interpolating Polynomial
• Lagrange Inversion Theorem
• Lagrange Multiplier
• Lagrange Number (Diophantine Equation)
• Lagrange Number (Rational Approximation)
• Lagrange Polynomial
• Lagrange Remainder
• Lagrange Resolvent
• Lagrange's Continued Fraction Theorem
• Lagrange's Equation
• Lagrange's Four-Square Theorem
• Lagrange's Group Theorem
• Lagrange's Identity
• Lagrange's Interpolating Fundamental Polynomial
• Lagrange's Lemma
• Lagrange Spectrum
• Lagrangian Coefficient
• Lagrangian Derivative
• Laguerre Differential Equation
• Laguerre-Gauss Quadrature
• Laguerre Polynomial
• Laguerre Quadrature
• Laguerre's Method
• Laguerre's Repeated Fraction