Abstract
The purpose of this paper is to follow the spirit of the Chakerian-Klamkin's characterization of central symmetry to give characterizations of projective centers and hyperplanes of symmetry. We use them to give a new and unexpected characterization of ellipsoids. We also prove two geometric colored theorems in the spirit of Lovász-Bárány
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Published by Heldermann Verlag, 2010. Rights now held by Banach Press LLC.
