关于单形中面与二面角平分面面积的不等式

Some inequalities for areas of the middle sections and the bisection planes of dihedral angles of a simplex

讨论了单形中面面积及二面角平分面面积和单形的外接球半径与内切球半径之间的关系,建立了相关的两个几何不等式,并应用它改进了n维Euler不等式.

The relations about the areas of the middle sections and the bisection planes of dihedral angles of a simplex and the circumradiu and inradius of the simplex are discussed,and some related inequalities are established.By using the inequalities,the n-dimensional Euler inequality is improved.