数学季刊 ›› 2015, Vol. 30 ›› Issue (1): 137-143.doi: 10.13371/j.cnki.chin.q.j.m.2015.01.014

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有关单形旁切球半径的几何不等式

  

  1. 1. Department of Mathematics, Hefei Normal University2. Department of Mathematics and Physics, Anhui Xinhua University
  • 收稿日期:2013-12-08 出版日期:2015-03-30 发布日期:2020-11-24
  • 作者简介: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.
  • 基金资助:
    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);

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

  1. 1. Department of Mathematics, Hefei Normal University2. Department of Mathematics and Physics, Anhui Xinhua University
  • Received:2013-12-08 Online:2015-03-30 Published:2020-11-24
  • About author: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.
  • 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);

摘要: 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. 

关键词: simplex, inradius, circumradius, radius of escribed hypersphere, inequality

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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