r1609

Let G be the centroid. The parallel from G to AB cuts BC at Ab, and the parallel from G to AC cuts BC at Ac. Define analogously Bc, Ba, Ca, Cb. Let Ta be the contact point between BC and the incircle of GAbAc, and define analogously Tb, Tc. The triangle TaTbTc is the pedal of X lying in the line OI (O circumcenter, I incenter) and such that IX:XO = 2.


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