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Lagrange's Continued Fraction Theorem


Lagrange's continued fraction theorem, proved by Lagrange in 1770, states that any positive quadratic surd sqrt(a) has a regular continued fraction which is periodic after some point.


See also

Periodic Continued Fraction, Quadratic Surd, Regular Continued Fraction

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Cite this as:

Weisstein, Eric W. "Lagrange's Continued Fraction Theorem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/LagrangesContinuedFractionTheorem.html

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