未找到相关数据
On Napoleon's theorem in the isotropic plane]{On Napoleon's theorem in the isotropic plane
被引：0
作者：
Horst Martini
Margarita Spirova
机构：
[1] Faculty of Mathematics,
[2] University of Technology Chemnitz,undefined
[3] Faculty of Mathematics and Informatics,undefined
[4] University of Sofia,undefined
关键词：
dual numbers;
Napoleon configuration;
Cayley--Klein geometries;
Napoleon's theorem;
Galilean plane;
isotropic plane;
D O I：
10.1007/s10998-006-0032-1
中图分类号：
学科分类号：
摘要：
Napoleon's original theorem refers to arbitrary triangles in the
Euclidean plane. If equilateral triangles are externally erected on the sides
of a given triangle, then their three corresponding circumcenters form an
equilateral triangle. We present some analogous theorems and related statements
for the isotropic (Galilean) plane.
引用
收藏
页码：199 / 208
页数：9
相关论文