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Two Extensions of Ceva's Theorem

Published online by Cambridge University Press:  31 October 2008

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If ABCDE … is a polygon of an odd number of sides, O any point in its plane, and if AO, BO, CO, … cut the sides opposite A, B, C, … respectively, AB in X, BC in Y, CD in Z, … then

Let PQ be the side opposite A. Then AB will be the side opposite Q.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1924