| 关于单叶双曲面直母线的一个性质 |
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| 引用本文： | 王祝君. 关于单叶双曲面直母线的一个性质[J]. 怀化学院学报, 2006, 25(8): 54-56 |
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| 作者姓名： | 王祝君 |
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| 作者单位： | 怀化学院,数学系,湖南,怀化,418008 |
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| 摘 要： | 证明了当单叶双曲面的直母线过腰椭圆顶点时,沿着它的曲面法线构成一个由二全等抛物线生成的双曲抛物面,并推导出对单叶双曲面,沿着它的任一直母线,曲面的法线均构成双曲抛物面.
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| 关 键 词： | 单叶双曲面 直母线 曲面法线 双曲抛物面 |
| 文章编号： | 1671-9743(2006)08-0054-03 |
| 收稿时间： | 2006-08-07 |
| 修稿时间： | 2006-08-07 |
On a Property on Rectilinear Generators of Hyperboloid of One Sheet |
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| WANG Zhu-jun. On a Property on Rectilinear Generators of Hyperboloid of One Sheet[J]. Journal of Huaihua University, 2006, 25(8): 54-56 |
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| Authors: | WANG Zhu-jun |
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| Affiliation: | Dept of Maths, Huaihua University, Huaihua , Hunan 418008 |
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| Abstract: | The paper proves that the surface normal,which is followed by rectilinear generators on hyperboloid of on sheet,comstructs the hyperbolic paraboloid generated by two same parabola,when rectilinear generators go through the vertex of waist ellipse,and it also deduces that the hyperboloid of one sheet is constructed by surface normal through a certain rectilinear generator. |
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| Keywords: | hyperboloid of one sheet rectilinear generator surface normal hyperbolic paraboloid |
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