Let O be the circumcenter; A', B', C' the altitude feet; A”, B”, C” points dividing OA, OB, OC  in the same ratio. The circles {AA'A”}, {BB'B”}, {CC'C”}  are coaxial having as axis the Euler line. If  A”, B”, C” are the midpoints of OA, OB, Oc, the common points of the circles are the ninecenter N and the point X(186)