关于n维情形的Menelaus定理与Ceva定理

n-Dimensional Menelaus Theorem and Ceva Theorem

利用度量几何的理论与方法,研究了n维欧氏空间En中n维单形的Menelaus定理与Ceva定理问题,建立了n维情形的Menelaus定理与Ceva定理,作为其特例得到三角形的Menelaus定理与Ceva定理。

The theory and method of metric geometry is used to study the problem on Menelaus theorem and Ceva theorem for n-dimensional simplex in the n-dimensional Euclidean space E^n The n-dimensional Menelaus theorem and Ceva theorem are established. As a special case, the Menelaus theorem and Ceva theorem for a triangle are obtained.