| 双曲抛物面与单叶双曲面的射影性质 |
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| 引用本文： | 范亚莉.双曲抛物面与单叶双曲面的射影性质[J].西安联合大学学报,2001,4(4):44-46. |
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| 作者姓名： | 范亚莉 |
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| 作者单位： | 范亚莉（铜川教育学院数学系,陕西铜川,727000） |
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| 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，并证明了此方程代表的曲面为单面双曲面或双曲抛物面这样一个有趣的事实。
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| 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 |
| 文章编号： | 1008-777X(2001)04-0044-03 |
| 修稿时间： | 2001年3月26日 |
Projectivity of Hyperboloids of One or Two Sheets |
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| Authors: | FAN Ya li |
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| Abstract: | 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. |
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| Keywords: | Projectivity Invariant Dual First order Relation |
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