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[几何] 如何用几何证明

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hbghlyj posted 2020-7-12 23:52 |Read mode
Last edited by hbghlyj 2020-8-18 23:42直线上射影变换f分解为对合i与j之积,全部i的不动点偶与全部j的不动点偶构成一个对合g,g与f的不动点偶(如果存在)重合
$i(x)=\dfrac{a_1 x+b_1}{c_1 x-a_1},j(x)=\dfrac{a_2 x+b_2}{c_2 x-a_2},i(j(x))=\dfrac{x \left(-a_1 a_2-b_1 c_2\right)+a_2 b_1-a_1 b_2}{x \left(a_1 c_2-a_2 c_1\right)-a_1 a_2-b_2 c_1}$

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original poster hbghlyj posted 2023-5-1 15:17
顶旧帖。

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