Let AAcBcB, BBaCaC, CCbAbA be the Vecten squares. The lines BcBa, CaCb, AbAc bound a triangle A'B'C'. Let GaGbGc be the antipedal triangle of the centroid G. Then A'B'C' and GaGbGc are homothetic with center X the reflection of G with respect to the circumcenter O.