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Inequalities for a Simplex and an Interior Point

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Abstract

We establish some inequalities for the inradius, circumradius and distances between an interior point and facets of an n-simplex, and prove a recursion inequality for the radii of the circumscribed spheres of an n-simplex and its facets.

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Authors and Affiliations

  1. Department of Mathematics, Hunan Normal University, Changsha, 410081, P.R. China

    Leng Gangsong

  2. Department of Mathematics, Zhangyie Normal College, Gansu, 734000, P.R. China

    Ma Tongyi

  3. Department of Applied Mathematics, Hunan University, Changsha, 410082, P.R. China

    Qian Xiangzheng

Authors
  1. Leng Gangsong
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  2. Ma Tongyi
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  3. Qian Xiangzheng
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Gangsong, L., Tongyi, M. & Xiangzheng, Q. Inequalities for a Simplex and an Interior Point. Geometriae Dedicata 85, 1–10 (2001). https://doi.org/10.1023/A:1010353523857

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  • DOI: https://doi.org/10.1023/A:1010353523857

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