Thứ Bảy, 13 tháng 9, 2014

64-A nice generalization Lester theorem

A Generalization Lester theorem follow: 

Theorem: Let two point A,B lie on one branch of a rectangular hyperbola. The line pass through midpoint of AB, and pass through center of the hyperbola cut hyperbola at two point F_1,F_2. Let four points A,M,B,N are harmonic range then four point F_1,F_2,M,N lie on a circle.

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