Denote:
A1 = AbBc /\ AcCb
A2 = BaCb /\ CaBc
Similarly B1,B2 and C1, C2.
Conjecture:
The lines A1A2,B1B2,C1C2 are concurrent.
Antreas P. Hatzipolakis, 3 May 2013
Conjecture 2: The same for A'B'C' = the adjunct triangle.
Antreas P. Hatzipolakis, 4 May 2013
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