Some geometric inequalities on metric addition simplex which volume and radius of circumscribed sphere are obtained. As its application, some important corollaries are given.
本文获得了一类关于度量加单形的体积和外接超球半径的几何不等式，作为其应用，给出了一些重要的推论。
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As its applications, we obtained a construction theorem about a simplex and a geometric inequality about middle sections of a simplex.
By using control inequality theory, some geometric inequalities are established, which involve the inradius, radius of escribed sphere and altitudes of simplex inn-dimensional Euclidean spac.