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双曲抛物面与斜柱面共母线相交的研究

THE STUDY ON THE CROSS OF THE HYPERBOLIC PARABOLOID WITH OBLIGUE CYLINDER SURFACE WITH THE SAME GENERATOR
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摘要 本文重点研究双曲线抛物面与柱面共母线相交,得出交线的水平投影的著名的三次曲线──箕舌线的结论.并对其形状、性质、随参数的变化规律及应用于船体曲面的设计进行了报道. The author has wainly studied the cross of the hyperbolic parabolid with obliquecylinder surface with the same generator and got the conclution that the horizontal projection of the lines of intersection is the famous third order curve called Witch of Agnesi The author also has studied the alterable rule of the shape, Characteristics with the alteration of the pa rameters and it's application in the design of the body of a ship's quadric surface.
出处 《湘潭大学自然科学学报》 CAS CSCD 1996年第3期85-89,共5页 Natural Science Journal of Xiangtan University
关键词 双曲抛物面 圆柱面 母线 相交 斜柱面 画法几何 hyperbolic paraboloid,cylinder surface,witch of Agnesi, the body of a ship's quadric surface
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