See the discussion in Hyacinthos #21341
Conjecture:

Let A'B'C' be the internal Morley triangle of triangle ABC and A"B"C" the (homothetic) Roussel equilateral triangle(*). The Euler Lines of A'B"C", B'C"A", C'A"B" are concurrent.
See the discussion in Hyacinthos #21341
Conjecture:
Let A'B'C' be the internal Morley triangle of triangle ABC and A"B"C" the (homothetic) Roussel equilateral triangle(*). The Euler Lines of A'B"C", B'C"A", C'A"B" are concurrent.
X(69018) = EULER LINE INTERCEPT OF X(5892)X(61690) Barycentrics 4*a^10 - 9*a^8*(b^2 + c^2) + (b^2 - c^2)^4*(b^2 + c^2) + 2*a^6*(b^4 +...
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