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关于默比乌斯变换 #10

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Vegetablament opened this issue Jun 18, 2018 · 1 comment
Open

关于默比乌斯变换 #10

Vegetablament opened this issue Jun 18, 2018 · 1 comment

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@Vegetablament
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课上关于默比乌斯变换的讨论，当时没说清楚
是不是这样的，设一个莫比乌斯变换的矩阵为（a b; c d）(是2阶方阵)
c=0时：这个变换仅仅是有限的平移、旋转、位似变换的叠加，直线映射为直线，真正的圆映射为真正的圆
c≠0时：
如果一个广义圆过-d/c这个点，他一定被映射为直线（不论他本身是任何种类的广义圆）
如果不过-d/c这个点，他一定被映射为真正的圆（同样的，不论他本身是任何种类的广义圆）
@Vegetablament
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201611140107杜吉深

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@Vegetablament