摘要
给出了双曲三角形内外径的欧拉不等式tanh R≥2 tanh r的证明及其改进形式,并对高维情形,提出了两个猜测。
A proof of inequalities on the circumradius inradius of a hyperbolic triangle was given in this paper. A few open problems were proposed in the end of the paper.
关键词
双曲三角形
内径
外径
欧拉不等式
Hyperbolic triangle, Circumradius, Inradius, Inequality
