An Inequality with Regard to Circumscriptible Simplex
Download
Download
Download![[thumbnail of CircumscriptibleSimplex.pdf]](https://vuir.vu.edu.au/style/images/fileicons/text.png)
Export
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 |
| Download/View statistics | View download statistics for this item |
CORE (COnnecting REpositories)