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

Δεν υπάρχουν σχόλια:

Δημοσίευση σχολίου

ETC

X(5459) Let ABC be a triangle, let A', B', C' be the midpoints of BC, CA, AB. Let L_a be the perpendicular through A' ...