Conditions equivalent to central symmetry of convex curves
Published online by Cambridge University Press: 24 October 2008
Extract
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.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 60 , Issue 4 , October 1964 , pp. 779 - 785
- Copyright
- Copyright © Cambridge Philosophical Society 1964
References
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