Abstract:

The theory and method of distance geometry were used to study the problems of geometric inequalities for the edgelength and volume of two ndimensional simplexes in the Euclidean space Eⁿ. Two forms of the improved ndimensional PengChang inequalities were established. From these we obtained the generalization of ndimensional Pedoe inequalities in the Euclidean space Eⁿ.

Key words: Euclidean space, simplex; , volume, edgelength, inequality