An Inequality with Regard to Circumscriptible Simplex

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Wu, Yu-Dong and Zhang, Zhi-Hua (2007) An Inequality with Regard to Circumscriptible Simplex. Research report collection, 10 (4).

Abstract

An n−simplex is circumscriptible if there is a sphere tangent to each of its n(n + 1)/2 edges. We prove that the radius of the curcumscribed sphere is at least √((2n)/(n-1)) times the radius of the edge-tangent sphere in the circumscriptible n−simplex. This settles affirmatively a part of a problem posed by the authors.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/18376
Subjects Historical > FOR Classification > 0101 Pure Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords inequality, circumscriptible n-simplex, edge-tangent sphere
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