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。
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.
