Generalizations of Pappus' centroid theorem via Stokes' theorem

DOI10.2140/INVOLVE.2015.8.771zbMath1325.53013OpenAlexW2180953022MaRDI QIDQ499921

Matthew McMillan, Stephen Lovett, Cole Adams

Publication date: 7 October 2015

Published in: Involve (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/involve.2015.8.771

zbMATH Keywords

volumemanifoldstubesStokes' theorem on manifolds

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Integration on manifolds; measures on manifolds (58C35) Integral geometry (53C65)

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Invariance of the Area and Volume of Cycloid Surfaces and Trochoid Surfaces

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