Some Geometric Inequalities for the Radii of Escribed Hyperspheres of a Simplex

YANG Shi-guo, WANG Wen

doi:10.13371/j.cnki.chin.q.j.m.2015.01.014

Chinese Quarterly Journal of Mathematics >

2015 , Vol. 30 >Issue 1: 137 - 143

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2015.01.014

Some Geometric Inequalities for the Radii of Escribed Hyperspheres of a Simplex

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1. Department of Mathematics, Hefei Normal University2. Department of Mathematics and Physics, Anhui Xinhua University

YANG Shi-guo(1952-), male, native of Mingguang, Anhui, a professor of Hefei Normal University, engages in convex and distance geometry; WANG Wen(1985-), male, native of Zongyang, Anhui, M.S.D., engages in convex and distance geometry.

Received date: 2013-12-08

Online published: 2020-11-24

Supported by

Supported by the Doctoral Programs Foundation of Education Ministry of China(20113401110009)； Supported by the Universities Natural Science Foundation of Anhui Province(KJ2013A220)； Supported by the Natural Science Research Project of Hefei Normal University(2012kj11)；

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Abstract

In this paper, we study the problems of geometric inequality for the radii of escribed hyperspheres of an n-dimensional simplex in Euclidean space En. Some new geometric inequalities for the radii of escribed hyperspheres of a simplex are established.

Key words： simplex; inradius; circumradius; radius of escribed hypersphere; inequality

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YANG Shi-guo, WANG Wen . Some Geometric Inequalities for the Radii of Escribed Hyperspheres of a Simplex[J]. Chinese Quarterly Journal of Mathematics, 2015 , 30(1) : 137 -143 . DOI: 10.13371/j.cnki.chin.q.j.m.2015.01.014

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