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The Discovery of the Series Formula for π by Leibniz, Gregory and Nilakantha

  • Ranjan Roy

Abstract

The formula for π mentioned in the title of this article is
$$\frac{\pi }{4} = 1 - \frac{1}{3} + \frac{1}{5} - \frac{1}{7} + \cdots .$$
(1)

Keywords

Continue Fraction Infinite Series Indian Work Fifteenth Century Binomial Expansion 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2000

Authors and Affiliations

  • Ranjan Roy
    • 1
  1. 1.Beloit collegeBeloitUSA

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