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The Edge-Tangent Sphere of a Circumscriptible n-Simplex
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Wu, Yu-Dong and Zhang, Zhi-Hua (2007) The Edge-Tangent Sphere of a Circumscriptible n-Simplex. Research report collection, 10 (3).
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Abstract
A 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 edge-tangent sphere is at least √((n(n−1))/2) times the radius of its inscribed sphere. This settles affirmatively a part of a problem posed by the authors.
Item Type: | Article |
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Uncontrolled Keywords: | inequality, simplex, edge-tangent sphere |
Subjects: | FOR Classification > 0101 Pure Mathematics Collections > Research Group in Mathematical Inequalities and Applications (RGMIA) |
Depositing User: | Research Group in Mathematical Inequalities and Applications |
Date Deposited: | 11 Feb 2012 04:44 |
Last Modified: | 23 May 2013 16:55 |
URI: | http://vuir.vu.edu.au/id/eprint/18372 |
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