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On Carathéodory's Theorem

Published online by Cambridge University Press:  20 November 2018

P. Scherk
P. Scherk*
Affiliation:
University of Toronto
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The following proof of Caratheodory's Theorem, while not essentially new, seems to be natural and therefore of interest.

LEMMA 1. Let P denote a supporting hyperplane of the convex polytope K. Then P∩K is a convex polytope whose vertices are vertices of K.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 9 , Issue 4 , October 1966 , pp. 463 - 465
Copyright
Copyright © Canadian Mathematical Society 1966