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Variations of Classic Characterizations of Ellipsoids and a Short Proof of the False Centre Theorem
Part of:
General convexity
Published online by Cambridge University Press: 21 December 2009
Abstract
Variations and generalizations of several classical theorems concerning characterizations of ellipsoids are developed. In particular, these lead to a short and comprehensible proof of the false centre theorem.
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- Research Article
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- Copyright © University College London 2007
References
1Aitchison, P. W., Petty, C. M. and Rogers, C. A., A convex body with a false centre is an ellipsoid. Mathematika 18 (1971), 50–59.CrossRefGoogle Scholar
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5Rogers, C. A., Sections and projections of convex bodies. Portugaliae Math. 24 (1965), 99–103.Google Scholar
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