Machin's Formula

Machin's formula is given by


There are a whole class of Machin-like formulas with various numbers of terms (although only four such formulas with only two terms). The properties of these formulas are intimately connected with cotangent identities.

See also

239, Gregory Number, Inverse Cotangent, Inverse Tangent, Machin-Like Formulas, Pi Formulas

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Borwein, J. and Bailey, D. Mathematics by Experiment: Plausible Reasoning in the 21st Century. Wellesley, MA: A K Peters, p. 105, 2003.Gourdon, X. and Sebah, P. "Collection of Series for pi."

Referenced on Wolfram|Alpha

Machin's Formula

Cite this as:

Weisstein, Eric W. "Machin's Formula." From MathWorld--A Wolfram Web Resource.

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