A generalization of the second Pappus–Guldin theorem

This paper deals with the question of how to calculate the volume of a body in R3 when it is cut into slices perpendicular to a given curve. The answer is provided by a formula that can be considered as a generalized version of the second Pappus–Guldin theorem. It turns out that the computation beco...

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Bibliographic Details
Main Author: Harald Schmid
Format: Article
Language:English
Published: Elsevier 2025-02-01
Series:Results in Applied Mathematics
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2590037425000019
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