Characterization of an Isosceles Tetrahedron

被引：0

作者：

Katsuura, Hidefumi ^{[1
]}

机构：

[1] San Jose State Univ, Dept Math & Stat, One Washington Sq, San Jose, CA 95192 USA

来源：

JOURNAL FOR GEOMETRY AND GRAPHICS | 2019年 / 23卷 / 01期

关键词：

Isosceles tetrahedron; in-center; ex-center; centroid; circum-center;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A tetrahedron in which each edge is equal to its opposite is an isosceles tetrahedron. We will use vectors to prove the following statement: A tetrahedron OABC is isosceles if, and only if the centroid of the parallelepiped defined by the three edges OA, OB, and OC is an ex-center of the tetrahedron OABC.

引用

页码：37 / 40

页数：4

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