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[khongghen]

Let a triangle ABC. I,G,H are midpoints of AB,BC,AC. N,M,O are on perpendicular bisector of the triangle ABC(matched L,G,H)

$\frac{NI}{AB}=\frac{MG}{BC}=\frac{OH}{AC}$ <=> AM,BO,CN are concurrent at point on the kiepert heperbola.