Let A'B'C' be the Morley 1st Triangle.
Denote
A'b, A'c = the orthogonal projections of A' on AB', AC', resp.
B'c, B'a = the orthogonal projections of B' on BC', BA', resp.
C'a, C'b = the orthogonal projections of C' on CA', CB', resp.
1. A'b,A'c, B'c, B'a, C'a, C'b are concyclic (??).
2. The Euler Lines of A'AbAc, B'B'cB'a, C'C'aC'b are concurrent (??).
Antreas P. Hatzipolakis, 11 jan. 2012
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