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Triangle inequalities associated with the vertex angles and dihedral angles of a simplex and their applications

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Abstract.

In this paper, a class of triangle inequalities associated with the vertex angles and dihedral angles of a simplex is given. As an application, we improve an inequality on the volume of the pedal simplex.

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Authors and Affiliations

  1. Department of Mathematics, Yueyang Normal University, Yueyang 414000, Hunan, P.R. China, and Department of Applied Mathematics, Nanjing University of Science and Technology, Nanjing 210094, P.R. China, , , , , , CH

    Sun Mingbao

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  1. Sun Mingbao
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Received 3 July 2000.

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Mingbao, S. Triangle inequalities associated with the vertex angles and dihedral angles of a simplex and their applications. J.Geom. 75, 123–131 (2002). https://doi.org/10.1007/s00022-002-1527-4

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  • DOI: https://doi.org/10.1007/s00022-002-1527-4

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