Let A'B'C' be the Morley 1st Triangle.
Denote
A'b, A'c = the orthogonal projections of A' on CB', BC', resp.
B'c, B'a = the orthogonal projections of B' on AC', CA', resp.
C'a, C'b = the orthogonal projections of C' on BA', AB', resp.
1. A'b,A'c, B'c, B'a, C'a, C'b are con-conic (??).
2. The Euler Lines of A'AbAc, B'B'cB'a, C'C'aC'b are concurrent. (??)
Antreas P. Hatzipolakis, 11 Jan. 2013
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