Author:
Hammer P. C.,Smith T. Jefferson
Abstract
In this paper we establish that a convex planar body C is centrally symmetric provided either one of the following conditions hold:(1) Each line halving the circumference of the boundary γ of C is a diametral line.(A diametral line is a line intersecting C in a chord of maximal length in the family of parallel chords.)(2) Each line halving the area of C is a diametral line.
Publisher
Cambridge University Press (CUP)
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