The Method of Exhaustion as a Model for the Calculus

  • Moore A
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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.

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Moore, A. W. (1993). The Method of Exhaustion as a Model for the Calculus. In Hegel and Newtonianism (pp. 139–148). Springer Netherlands. https://doi.org/10.1007/978-94-011-1662-6_12

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