关于椭圆平面上三角形的中心与中心线
度量几何
2018-01-24 v3
摘要
我们确定了椭圆平面上三角形中心的重心坐标。主要关注位于某些直线上的中心，这些直线的欧氏极限（三角形超额 --> 0）为欧拉线或布罗卡尔线。我们还研究了在椭圆几何中可作为欧氏九点圆、第一莱莫恩圆或阿波罗尼奥斯圆替代品的曲线。
引用
@article{arxiv.1705.06187,
title = {On Centers and Central Lines of Triangles in the Elliptic Plane},
author = {Manfred Evers},
journal= {arXiv preprint arXiv:1705.06187},
year = {2018}
}
备注
29 pages / 5 figures - A conjecture of Vigara is confirmed; a contrary statement to this in the previous versions is wrong. Additionally, some minor errors are corrected and some more calculations are added. -