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双曲抛物面与单叶双曲面的射影性质

Projectivity of Hyperboloids of One or Two Sheets
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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 。 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.
作者 范亚莉
出处 《西安联合大学学报》 2001年第4期44-46,共3页
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