| 三导线直纹四次曲面的形成与分类 |
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| 引用本文： | 贾洪斌 钱晓明. 三导线直纹四次曲面的形成与分类[J]. 哈尔滨建筑大学学报, 1996, 29(3): 111-116 |
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| 作者姓名： | 贾洪斌 钱晓明 |
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| 作者单位： | 哈尔滨建筑大学基础科学部 |
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| 摘 要： | 本文提出了由一条二次曲线和与该二次曲线不共面的两条异面直线为导线，与该三导线均相交的直线轨迹是一个直纹四次曲面，并讨论了二次曲线分别为椭圆、双曲线和抛物线时，形成的曲面的形状特征。
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| 关 键 词： | 二次曲线 直纹曲面 四次曲面 绘图 射影 |
Formation and Classification of a Ruled Surface of Fourth Order |
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| Jia Hongbin,Qian Xiaoming,Dong Baohua. Formation and Classification of a Ruled Surface of Fourth Order[J]. Journal of Harbin University of Civil Engineering and Architecture, 1996, 29(3): 111-116 |
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| Authors: | Jia Hongbin Qian Xiaoming Dong Baohua |
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| Affiliation: | Jia Hongbin;Qian Xiaoming;Dong Baohua |
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| Abstract: | In this paper, it is presented that the locus of a line crossedwith each of two guide lines and a guide conic not being on a commonplane is a ruled surface of fourth order.and this paper also gives a detaileddiscussion on the properties of the ruled surface of fourth order formed byeach of the guide conic which is an ellipse,a hyperbola or a parabola. |
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| Keywords: | conic a ruled surface surface of fourth order |
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