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Generalizations
of Pappus' centroid theorem via Stokes' theorem
Cole Adams, Stephen Lovett and Matthew McMillan
Vol. 8 (2015), No. 5, 771–785
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Abstract |
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This paper provides a novel proof of a generalization of Pappus’ centroid theorem on -dimensional tubes using Stokes’ theorem on manifolds. |
Keywords
Stokes' theorem on manifolds, volume, manifolds, tubes
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Mathematical Subject Classification 2010
Primary: 53A07, 58C35
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Milestones
Received: 18 March 2014
Accepted: 22 November 2014
Published: 28 September 2015
Communicated by Kenneth S. Berenhaut
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Authors |
| Cole Adams | |
| School of Engineering Vanderbilt University Nashville, TN 37235-1826 United States |
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| Stephen Lovett | |
| Department of Mathematics and
Computer Science Wheaton College 501 College Avenue Wheaton, IL 60187 United States |
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| Matthew McMillan | |
| St Catherine’s College Oxford OX1 3UJ United Kingdom |
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