摘要
给出了单叶双曲面新的参数方程和旋转与非旋转的单叶双曲面的腰曲线方程,进而证明了旋转单叶双曲面的腰曲线是它的腰圆,非旋转的单叶双曲面的腰曲线不是它的腰椭圓。
In this paper we have established a new parametric equation of hyperboloid of one sheet and equation of the trace of central point of a straight generator of hyperboloid of one sheet. Furthermore, we have proved the trace of central point of a straight generator of hyperboloid of one sheet of non-revo-lution is a twisted curve.
出处
《辽宁师范大学学报(自然科学版)》
CAS
1992年第4期338-342,共5页
Journal of Liaoning Normal University:Natural Science Edition
关键词
单叶双曲面
参数方程
腰曲线
hyperboloid of one sheet
parametric equation
trace of central point of a straight generator