Let ABC be an acute triangle, not being isoceles. Let ℓa be the line passing through the points of tangency of the escribed circles in the angle A with the lines AB,AC produced. Let da be the line through A parallel to the line that joins the incenter I of the triangle ABC and the midpoint of BC. Lines ℓb,db,ℓc,dc are defined in the same manner. Three lines ℓa,ℓb,ℓc intersect each other and these intersections make a triangle called MNP. Prove that the lines da,db and dc are concurrent and their point of concurrency lies on the Euler line of the triangle MNP.Lê Phúc Lữ Euler Lineconcurrentgeometry