摘要
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.
出处
《太原科技大学学报》
2007年第1期57-59,共3页
Journal of Taiyuan University of Science and Technology
基金
安徽省学术技术带头人科研项目(2005HBZ05)
安徽省高校省级重点科研项目(2006KJ067A)
关键词
单形
超平面
重心坐标
simplex, hyperplane, barycentric coordinates