受维维亚尼定理启发的点轨迹
历史与综述
2017-01-26 v1
摘要
我们考虑这样的点轨迹：它们到给定三角形各边的距离之和或距离平方之和为常数。这些轨迹受维维亚尼定理及其推广启发。前一种轨迹是线段或整个三角形，后一种轨迹是椭圆。
引用
@article{arxiv.1701.07339,
title = {Loci of Points Inspired by Viviani's Theorem},
author = {Elias Abboud},
journal= {arXiv preprint arXiv:1701.07339},
year = {2017}
}
备注
12 pages, 7 figures, to appear in Mathematics Magazine. arXiv admin note: substantial text overlap with arXiv:1410.6442