An extremal property of the hypersphere
1951 ◽
Vol 47
(1)
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pp. 245-247
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Keyword(s):
It was shown by Sas (1) that, if K is a plane convex body, then it is possible to inscribe in K a convex n-gon occupying no less a fraction of its area than the regular n-gon occupies in its circumscribing circle. It is the object of this note to establish the n-dimensional analogue of Sas's result, giving incidentally an independent proof of the plane case. The proof is a simple application of the Steiner method of symmetrization.
2005 ◽
Vol 42
(3)
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pp. 253-264
Keyword(s):
1969 ◽
Vol 76
(1)
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pp. 54-55
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2012 ◽
Vol 54
(2)
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pp. 643-649