从四面体到N维单形的棱切球心、热尔岗点、奈格尔点及其坐标公式  

Edge-Tangent’s Sphere Center, Gergonne Point, Nagel Point and Their Coordinate Formula from Tetrahedron to N-Simplex

作　　者：李兴源 

机构地区：[1]广州一智通供应链管理有限公司,广东 广州

出　　处：《理论数学》2021年第1期131-142,共12页Pure Mathematics

摘　　要：四面体存在棱切球的充要条件是该四面体的三组对棱之和相等。对于存在棱切球的四面体,本文给出其棱切球心、热尔岗点、奈格尔点的坐标公式,并将这三者的坐标公式推广至存在棱切超球面的n维单形。The sufficient and necessary condition for the tetrahedron to have an edge-tangent’s sphere is that the sum of the three groups of opposite sides is equal in the tetrahedron. For a tetrahedron with an edge-tangent’s sphere, the coordinate formula of the edge-tangent’s sphere center, Gergonne Point and Nagel Point is given in this paper, and the coordinate formulas of these three points are extended to n-simplex with an edge-tangent’s hypersphere.

关 键 词：四面体 棱切球 热尔岗点 奈格尔点 N维单形 

分 类 号：G63[文化科学—教育学]