Πέμπτη 3 Ιανουαρίου 2013

MORLEY TRIANGLES Conjecture

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.

(*)The Roussel triangle Here and with figure Here

Antreas P. Hatzipolakis

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X(71995) = X(2)X(187)∩X(3)X(3734) Barycentrics    2*a^4 - 3*a^2*b^2 - 3*a^2*c^2 - 2*b^2*c^2 : : X(71995) = 3 X[2] + X[14907], 3 X[183]...