射影直线上点的运算  

THE CACULATING RULES OF POINTS IN A PROJECTIVE LINE

作　　者：李忠映 王小梅[1] 

机构地区：[1]云南师范大学,广东惠州大学

出　　处：《云南师范大学学报（自然科学版）》1995年第1期9-17,共9页Journal of Yunnan Normal University:Natural Sciences Edition

摘　　要：在一维射影变换中推证射影直线上点的运算规律，它满足数的运算法则．它的实现主要应用一维双曲射影变换群和一维抛物射影变换群以及透视变换的简单性质。In this paper,we conclude the caculating rules of points in a projectiveline, which satisfy the caculating rules of real numbers under the 1-dimensional projectiveansformation. We prove this by using some properties of 1- dimensional hyperbolicprojective transformation group, parabolic projective transformation group and perspectiveansformation group,respectively.

关 键 词：射影变换群 双曲射影变换群 射影直线 点 

分 类 号：O185.1[理学—数学]