| 空间曲线的一种伴随曲线 |
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| 引用本文： | 鲁荣波,刘罗飞.空间曲线的一种伴随曲线[J].吉首大学学报(自然科学版),1999,20(2):55-56. |
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| 作者姓名： | 鲁荣波 刘罗飞 |
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| 作者单位： | 吉首大学数学与计算机科学系!吉首416000 |
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| 摘 要： | 讨论一条空间曲线x =x(t)的伴随曲线 :x (t) =γ(t) /x(t)·γ(t) ,证明了 :当原曲线x(t)带非零曲率和挠率时 ,其伴随曲线也带非零曲率和挠率 ;伴随曲线具有对称性。
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| 关 键 词： | 曲线 伴随曲线 曲率 挠率 |
An Associated Curve of a Apace Curve |
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| Lu Rongbo,Liu Luofei.An Associated Curve of a Apace Curve[J].Journal of Jishou University(Natural Science Edition),1999,20(2):55-56. |
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| Authors: | Lu Rongbo Liu Luofei |
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| Abstract: | In this paper,we discuss the associated curve of a space curve: x *(t)=γ(t)/x(t)·γ(t) we prove the following theovem: If x(t) has non-zero curvetuve and tbrsion,then x *(t) has non-zero curveture and torsion.and associated curves have symmetry. |
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| Keywords: | cureve associated curve curvature torsion |
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