Triángulos inversamente semejantes

Let ABC be a triangle and O,H the circumcenter, orthocenter, resp.
Denote:
Oa = the reflection of O in HA
Ha = the reflection of H in Oa
Ma = the midpoint of OaHa.
Similarly Mb, Mc.
ABC, MaMbMc are similar .
(Antreas Hatzipolakis-Leonard Giugiuc)

Angel Montesdeoca, 3 Junio 2015, Creado con GeoGebra