管状曲面上的定倾曲线研究  

Curves of constant inclination on a tubular surface

作　　者：齐瑞 秦路 李政伟 QI Rui;QIN Lu;LI Zhengwei(School of Education,Sias University,Zhengzhou 451191,China;Zhengzhou Education Bureau of Zhongyuan District,Zhengzhou 450007,China)

机构地区：[1]郑州西亚斯学院教育学院,河南郑州451191 [2]郑州市中原区教育局,河南郑州450007

出　　处：《河南工程学院学报（自然科学版）》2023年第3期77-80,共4页Journal of Henan University of Engineering：Natural Science Edition

摘　　要：管状曲面上的定倾曲线即与中心曲线夹角为常值的曲线。通过给出这类曲线的刻画方程,得到了中心曲线的挠率为特定常数时,以及曲率和挠率均为常数时,定倾曲线的解析表达式。In this paper,we study the curves of constant inclination on tubular surfaces,which intersects the central curve of the tubular surface with a constant angle.By establishing the characteristic equation,we obtain the analytic expression in the case that the torsion of central curve is certain constant,and the case that the curvature and torsion of the central curve are both constant.

关 键 词：管状曲面 定倾曲线 挠率 

分 类 号：O186[理学—数学]