| 空间曲线的密切面族、从切面族和法面族 |
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| 引用本文： | 刘罗飞. 空间曲线的密切面族、从切面族和法面族[J]. 吉首大学学报(自然科学版), 1996, 17(4): 48-50 |
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| 作者姓名： | 刘罗飞 |
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| 作者单位： | 吉首大学数学系!湖南吉首，416000 |
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| 摘 要： | 本文证明了空间曲线的密切面族在挠率为零的点处无穷小稳定，在挠率非零的点处绕切线无穷小旋转。而从切面族和法面族在任何点处不会出现无穷小稳定。
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| 关 键 词： | 密切面族 从切面族 法面族 无穷小稳定 无穷小旋转 |
Family of Osculating Planes, Rectifying Planes,Normal Planes of Space Curves |
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| Liu Luofei. Family of Osculating Planes, Rectifying Planes,Normal Planes of Space Curves[J]. Journal of Jishou University(Natural Science Edition), 1996, 17(4): 48-50 |
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| Authors: | Liu Luofei |
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| Abstract: | In this paper, we prove that the family of osculating planes of a space curves is infinitesimally stationary at the points with zero torsion, and rotates infinitesimally around the tangent at the points with non-zero torsion.The family of rectifying planes.normal pianes is not infinitesimally stationary at any point. |
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| Keywords: | family of osculating planes rectifying planes normal planes infinitesimally stationary rotates infinitesimally |
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