Morphing Lord Brouncker's continued fraction for π into the product of Wallis

DOI10.1017/S0025557200002278zbMath1383.11128OpenAlexW2415195190MaRDI QIDQ5277861

Thomas J. Osler

Publication date: 12 July 2017

Published in: The Mathematical Gazette (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0025557200002278

zbMATH Keywords

continued fractionsinfinite productsnested radicals

Mathematics Subject Classification ID

History of number theory (11-03) Approximation to limiting values (summation of series, etc.) (40A25) History of mathematics in the 17th century (01A45) Evaluation of number-theoretic constants (11Y60) History of sequences, series, summability (40-03)

Related Items (1)

The missing fractions in Brouncker's sequence of continued fractions for π

Cites Work

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• Wallis's product, Brouncker's continued fraction, and Leibniz's series
• The arithmetic of infinitesimals. Translated from the Latin and with an introduction by Jaqueline A. Stedall
• A recovery of Brouncker's proof for the quadrature continued fraction
• An Elegant Continued Fraction for &#960
• The Union of Vieta's and Wallis's Products for Pi
• Catching Proteus: the collaborations of Wallis and Brounker. I. Squaring the circle

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