轨迹问题研讨的射影几何学方法  

The projection geometry method for trajectory problem

作　　者：宋占奎[1] 

机构地区：[1]湖北十堰职业技术学院数学教研室,十堰442000

出　　处：《西安工业学院学报》2005年第6期595-598,共4页Journal of Xi'an Institute of Technology

摘　　要：为了考察卵形线的性态,对动点的轨迹曲线进行了研究.将直线看成是圆心在无穷远点而半径为无穷大的圆周.应用射影变换、透视对应、Desargues逆命题、恒等变换、调和共轭、配极变换等,得到了在各种条件下轨迹曲线的数学模型.The moving points on the geometric locus are observed tO study the properties of ovals. The straight line could be considered as a circle with a centre at infinity and an infinitely great radius. By the application of projective transformation, perspectivity, converse proposition of desargues, identical transformation, harmonic conjugates and polar trans formation, the mathematical models of geometic locus under different conditions are built respectively.

关 键 词：透视中心 射影变换 调和共轭 配极变换 卵形线 

分 类 号：O185[理学—数学]