摘要
在欧氏直角坐标系下通过点与直线的非齐次坐标来研究点与直线之间特殊的对偶原则。解决了射影几何中点与直线度量关系无法建立对偶的问题。在欧氏几何中建立起了角平分线,两条直线垂直、线段长度、点到直线的距离的对偶命题。
Through the study of nonhomogeneous coordinates of points and lines, the special duality principle between points and lines was handled in Euclidean system of rectangular coordinates and the question of how to construct duality between points and lines in projective geometry was answered. At the same time, the duality propositions of the angular bisector, two perpendicular lines, the length of the line segment, the distance between a point and a line in Euclidean geometry, were also established.
出处
《上海工程技术大学学报》
CAS
2006年第3期240-244,共5页
Journal of Shanghai University of Engineering Science
关键词
对偶
欧氏几何
点和线度量关系
duality
Euclidean geometry
metric relations of points and lines
