关于高维单形的两个性质

Two Properties for a Higher Dimensional Simplex

应用度量几何理论与解析方法,研究了n维欧氏空间En中n维单形的性质,将三角形内心与中线两个性质推广到n维单形,获得n维单形内心与中位面的两个性质.

Using theory of metric geometry and analytic method to study the property for an n-dimensional simplex in the n-dimensional Euclidean space En. Two properties for the incenter and the medians of a triangle is extended to an n-dimensional simplex, and two properties for the incenter and the middle planes of an n-dimensional simplex is obtained.