| 椭圆旋转、双曲旋转与变换群 |
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| 引用本文： | 陈咸存.椭圆旋转、双曲旋转与变换群[J].湖州师范学院学报,1999(5). |
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| 作者姓名： | 陈咸存 |
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| 作者单位： | 宁波教育学院数学系!浙江宁波315010 |
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| 摘 要： | 在仿射平面中,得到保持椭圆x~2/a~2 y~2/b~2=1或双曲线xy=c不变的仿射变换的全体对于变换乘法分别构成一个变换群,及在此群下的图形不变性质.
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| 关 键 词： | 仿射变换 椭圆旋转 双曲旋转 变换群 |
Ellipse Rotation, Hyperbola Rotation and Transformative Group |
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| Chen Xiancun.Ellipse Rotation, Hyperbola Rotation and Transformative Group[J].Journal of Huzhou Teachers College,1999(5). |
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| Authors: | Chen Xiancun |
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| Abstract: | On affine plane, if S is the set of all affine transformations which keep an ellipse x2/a2 y2/b2=1 or a hy-perbola xy = c unchanged. It was proved that S is a transformative group with respect to transformative multiplication, and some invariant properties of graph under the group were obtained. |
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| Keywords: | affine transformation ellipse rotation hyperbola rotation transformative group |
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