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The Method of Exhaustion as a Model for the Calculus

  • A. W. Moore
Chapter
Part of the Archives Internationales D’Histoire Des Idées / International Archives of the History of Ideas book series (ARCH, volume 136)

Abstract

Nowhere was the mathematical genius of the early Greeks more apparent than in their method of exhaustion. This was a method of discovering the properties of curved figures by investigating the properties of polygons acting as successively better approximations to them. The method was established in the fourth century B.C. by Eudoxus; and it was much exploited, a hundred years or so later, by Archimedes.

Keywords

Seventeenth Century Intuitive Appeal Curve Figure Fourth Century Ordinary Parent 
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Notes

  1. 1.
    See Pedersen, K.M. 1980.Google Scholar
  2. 2.
    Newton Horsley I. 333.Google Scholar
  3. 3.
    Newton Horsley I. 25.Google Scholar
  4. 4.
    Leibniz’ work is to be found in Leibniz, G.W. 1962.Google Scholar
  5. 5.
    In Berkeley, G. 1901. The “infidel mathematician” to whom it was addressed was Halley.Google Scholar
  6. 6.
  7. 7.
    L’Hospital, G.F.A. 1696.Google Scholar
  8. 8.
    Euler, L. 1748.Google Scholar
  9. 9.
    Hegel WL I.236-322; tr. Miller pp. 225-313. See further Moretto’s contribution, no. 13, pp. 149-165.Google Scholar
  10. 10.
    See Robinson, A. 1967.Google Scholar

Copyright information

© Springer Science+Business Media Dordrecht 1993

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  • A. W. Moore

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