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.
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.
关键词
仿射变换
椭圆旋转
双曲旋转
变换群
affine transformation, ellipse rotation, hyperbola rotation, transformative group
