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Two Surprising Theorems on Cavalieri Congruence

by Howard Eves

Award: George Pólya

Year of Award: 1992

Publication Information: The College Mathematics Journal, Vol. 22, No. 2, (1991), pp. 118-124

Summary: Discusses Cavlieri's early seventeenth century work on the "method of indivisibles," and applies Cavlieri's principles to produce two unexpected results.

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About the Author: (from The College Mathematics Journal, Vol. 22, No. 2, (1991)) Howard Eves received his mathematical education at Virginia, Harvard, and Princeton. His major interests are geometry, problem solving, and history. He has written over 25 books and published a large number of articles in mathematics, physics, engineering, and pedagogical journals, and in encyclopedias and other reference works. Among many editorial duties, he served for 25 years as a problems editor of The American Mathematical Monthly. He has lectured in almost every state of the Union, and is a recipient of many awards. Retired from the University of Maine, he is at present a Distinguished Visiting Professor at the University of Central Florida.


Subject classification(s): General Mathematics History | Mathematics History | Integration | Single Variable Calculus | Calculus
Publication Date: 
Sunday, July 20, 2008