双曲抛物面与单叶双曲面的射影性质  

Projectivity of Hyperboloids of One or Two Sheets

作　　者：范亚莉[1] 

机构地区：[1]铜川教育学院数学系,陕西铜川727000

出　　处：《西安联合大学学报》2001年第4期44-46,共3页

摘　　要：依据定理“二次曲线它可以看作由两射影线束对应线的交点而构成”求得了成射影对应的两面束对应面的交线轨迹方程 。According to a theorem in Advanced Geometry, cylinders, cones, especially hyperboloids of one or two sheets all come from a family of straight lines called rectilinear generators. Based on the theorem, the equation of locus of intersection formed by a family of surfaces of projective correspondence is found and it is proved that the equation corresponds to a hyperboloid of one or two sheets.

关 键 词：成射影对应 不变量 双一次关系 交线轨迹方程 单面双曲面 双曲抛物面 空间解析几何 

分 类 号：O182.2[理学—数学]