Lord Brouncker's forgotten sequence of continued fractions for pi

• Autores: Thomas Osler
• Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 41, Nº. 1, 2010, págs. 105-110
• Idioma: inglés
• DOI: 10.1080/00207390903189195
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• Resumen

  • 'Lord Brouncker's continued fraction for p' is a well-known result. In this article, we show that Brouncker found not only this one continued fraction, but an entire infinite sequence of related continued fractions for p. These were recorded in the Arithmetica Infinitorum by John Wallis, but appear to have been ignored and forgotten by modern mathematicians. We identify these continued fractions and give a modern derivation.