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On the Volume in Homogeneous Spaces
Published online by Cambridge University Press: 22 January 2016
Extract
Guldin-Pappus’s theorem about the volume of a solid of rotation in the euclidean space has been generalized in two ways. G. Koenigs [1] and J. Hadamard [2] proved that the volume generated by a 1-parametric motion of a surface D bounded by a closed curve c is equal to where are quantities attached to D with respect to a rectangular coordinate system, while are quantities determined by our motion.
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- Copyright © Editorial Board of Nagoya Mathematical Journal 1959
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