The Insphere of a Tetrahedron
The Insphere of a Tetrahedron作者机构：Computing Center University of Technology Clausthal Clausthal-Zellerfeld Germany
出 版 物：《Applied Mathematics》 (应用数学（英文）)
年 卷 期：2020年第11卷第7期
页 面：601-612页
学科分类：08[工学] 0812[工学-计算机科学与技术（可授工学、理学学位）]
主 题：Corkscrew Rule Hesse Normal Form Decomposed Linear System Block Upper Triangular Form of Coefficient Matrix Cofactor Matrix
摘 要：A contiguous derivation of radius and center of the insphere of a general tetrahedron is given. Therefore a linear system is derived. After a transformation of it the calculation of radius and center can be separated from each other. The remaining linear system for the center of the insphere can be solved after discovering the inverse of the corresponding coefficient matrix. This procedure can also be applied in the planar case to determine radius and center of the incircle of a triangle.
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