Parallelism(self-made)

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Fm Jakaria
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Parallelism(self-made)

Unread post by Fm Jakaria » Sun Sep 21, 2014 6:25 pm

Let $ABC$ a triangle with incircle touching $BC,CA,AB$ respectively at $X,Y,Z$. Suppose $D,E,F$ are respectively the feet of altitudes in $ABC$ from $A,B,C$. Similarly, define points $M,N,L$ to be feet of altitudes of triangle $XYZ$ from $X,Y,Z$. Finally, let pairs $DF,AC; DE,AB; MN,XY; ML,XZ$ intersect at $P,Q,O,R$. Determine all triangles with $PQ$ parallel to $OR$.
Last edited by Phlembac Adib Hasan on Sat Sep 27, 2014 6:07 pm, edited 1 time in total.
Reason: Latexed
You cannot say if I fail to recite-
the umpteenth digit of PI,
Whether I'll live - or
whether I may, drown in tub and die.

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