Let ABC be a triangle, L a line through I and La,Lb,Lc the reflections of AI, BI, CI in L.
Denote:
Ab,Ac = the orthogonal projections of A on Lb,Lc, resp.
Bc,Ba = the orthogonal projections of B on Lc,La, resp.
Ca,Cb = the orthogonal projections of C on La,Lb, resp.
The Euler lines of AAbAc, BBcBa, CCaCb are concurrent on a point Q on the pedal circle of I (= incircle of ABC)
Antreas P. Hatzipolakis, 4 Febr. 2013
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