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对合:一条线上的点对

On a given line, if two ranges I and II are defined, then we can assign a point on the line to either range. Consider a projection I → II, where at the same time 在给定的直线上,如果定义了两个范围I和II,那么我们可以将直线上的一个点赋值给这两个范围。 考虑投影I→II,同时 A → A' A' → A Then {A, A'} are referred to as a conjugate pair. 那么{A, A'}就称为共轭对。 If, in a projection two pairs of corresponding points are conjugate, then every pair is conjugate (Desargues). The projection is determined, but what is it? Given conjugate pairs {A, A'}, {B, B'}, and an arbitrary point C on the same line, where is C'? 如果在一个投影中,两对对应点是共轭的,那么每对点都是共轭的(desargue)。投影是确定的,但它是什么呢?给定共轭对{A, A'}, {B, B'}和同一直线上的任意点C,请问C'在哪?
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