| 单叶双曲面的参数方程与腰曲线 |
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| 引用本文： | 陈萍清. 单叶双曲面的参数方程与腰曲线[J]. 辽宁师范大学学报(自然科学版), 1992, 0(4) |
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| 作者姓名： | 陈萍清 |
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| 作者单位： | 辽宁师范大学数学系 |
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| 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,而是一条挠曲线
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| 关 键 词： | 单叶双曲面 参数方程 腰曲线 |
THE PARAMETRIC EQUATION AND THE TRACE OF CENTRAL POINT OF A STRAIGHT GENERATOR OF HYPERBOLOID OF ONE CHEET |
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| Chen Pingqing. THE PARAMETRIC EQUATION AND THE TRACE OF CENTRAL POINT OF A STRAIGHT GENERATOR OF HYPERBOLOID OF ONE CHEET[J]. Journal of Liaoning Normal University(Natural Science Edition), 1992, 0(4) |
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| Authors: | Chen Pingqing |
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| Abstract: | 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. |
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| Keywords: | hyperboloid of one sheet parametric equation trace of central point of a straight generator |
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