摘要
三角形的外心、重心、垂心位于同一条直线上,这条直线称为欧拉线。文章证明了高等几何中代沙格定理的逆定理,并用其证明了欧拉线,比初等几何证明方法更简便。
Triangle circumcenter,center of gravity,orthocenter located in the same line,the line we called the Euler line.In This paper,I proved the converse theorem of Desargues in the geometry of higher,and using it proved the Euler line,easier than the methods of elementary geometry.
出处
《长治学院学报》
2012年第2期110-111,共2页
Journal of Changzhi University
关键词
欧拉线
代沙格定理
逆定理
Euler line
Desargues
converse theorem