摘要
依据经典微分几何空间曲线的基本理论与特征,采用三维欧氏空间中曲线的Frenet标架,对三维欧式空间中的一类特殊曲线进行研究,得到了在三维空间下的贝特朗曲线的系列结论,最后讨论了贝特朗曲线与圆柱螺线的关系.
Based on the classical differential geometry space curve of the basic theory and characteristics, the three dimen- sional Euclidean space, the series of conclusions of the three dimensional space of Bertramd＇ s curve are made through the study of a kind of special curves of the Frenet frame 3 D European space. Finally there was a discussion over the relationship between Bertramd＇ s curve and cylindrical spiral.
出处
《宁夏师范学院学报》
2013年第3期75-77,共3页
Journal of Ningxia Normal University
基金
宁夏师范学院创新团队资助项目(py201209)
宁夏师范学院"本科教学工程"建设项目(JXGC2012A14)
关键词
贝特朗曲线
活动标架
圆柱螺线
Bertrand＇s curve
Moving construction
Cylindrical spiral
