Some Geometric Inequalities on the Radii of Inscribed Sphere of a Simplex and Its Subsimplex

ZHANG Han-fang

doi:10.13371/j.cnki.chin.q.j.m.2014.02.009

Chinese Quarterly Journal of Mathematics >

2014 , Vol. 29 >Issue 2: 215 - 220

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2014.02.009

Some Geometric Inequalities on the Radii of Inscribed Sphere of a Simplex and Its Subsimplex

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School of Mathematics Science, Jiangsu Normal University

ZHANG Han-fang(1955-), male, native of Donghai, Jiangsu, a professor of Jiangsu Normal University, engages in distance geometry and inequality.

Received date: 2012-07-09

Online published: 2021-01-25

Supported by

Supported by the First Class Key Course of Mathematics of Jiangsu Province（SXKYA1010）；

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Abstract

In this paper, we obtain some geometric inequalities on the radii of inscribed sphere of a simplex and its subsimplex, as particular case of this paper, we obtain some main results of [1].

Key words： Euclidean space; simplex; geometric inequality

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ZHANG Han-fang . Some Geometric Inequalities on the Radii of Inscribed Sphere of a Simplex and Its Subsimplex[J]. Chinese Quarterly Journal of Mathematics, 2014 , 29(2) : 215 -220 . DOI: 10.13371/j.cnki.chin.q.j.m.2014.02.009

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