| 圆柱螺线的几个性质 |
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| 引用本文： | 陆亚哲. 圆柱螺线的几个性质[J]. 文山师范高等专科学校学报, 2013, 0(6): 39-42 |
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| 作者姓名： | 陆亚哲 |
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| 作者单位： | 文山学院数学学院,云南文山663000 |
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| 基金项目： | 文山学院重点学科“数学”建设项目（12WSXK01） |
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| 摘 要： | 用直接计算的方法讨论空间曲线的主法向量和副法向量的球面像的曲率、挠率,得出圆柱螺线的主法向量和副法向量的球面像的结论,且证明了圆柱螺线的切向量的球面像的主法线曲面和副法线曲面可展。另外讨论了圆柱螺线的中心轨迹,并得出相关结论。
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| 关 键 词： | 曲率 挠率 曲率中心 球面像 可展 |
Properties of Cylindrical Spirals |
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| LU Ya-zhe. Properties of Cylindrical Spirals[J]. Journal of Wenshan Teachers College, 2013, 0(6): 39-42 |
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| Authors: | LU Ya-zhe |
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| Affiliation: | LU Ya-zhe (School of Mathematics, Wcnshan University, Wenshan 663000, China) |
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| Abstract: | The paper draws some conclusions about the sphere mappings of three basic vectors： tangential vector, major normal vector and secondary normal vector through the direct calculation method. In addition, it proves the curvature center of cylindrical spiral is still the cylindrical spiral and other properties about curvature center can be got through proof procedure. |
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| Keywords: | Curvature torsion curvature center sphere mapping developable |
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