Generalized Convex Bodies of Revolution

The figures studied in this paper are special convex bodies in Euclidean three-dimensional space which we shall call generalized convex bodies of revolution (GCBR). Such a set is obtained by the following procedure. Let K1 be a convex body of revolution and let x, y, z denote Cartesian coordinates i...

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Bibliographic Details
Published in:Canadian journal of mathematics 1967, Vol.19, p.972-996
Main Author: Firey, WM. J.
Format: Article
Language:English
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Summary:The figures studied in this paper are special convex bodies in Euclidean three-dimensional space which we shall call generalized convex bodies of revolution (GCBR). Such a set is obtained by the following procedure. Let K1 be a convex body of revolution and let x, y, z denote Cartesian coordinates in a system for which the z-axis is the axis of K1.
ISSN:0008-414X
1496-4279
DOI:10.4153/CJM-1967-089-x