The Method of Exhaustion as a Model for the Calculus

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


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.


Seventeenth Century Intuitive Appeal Curve Figure Fourth Century Ordinary Parent 
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© Springer Science+Business Media Dordrecht 1993

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  • A. W. Moore

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