Generalisation 2 Gossard perspector
paul yiu s generalisation of gossard triangle. this generalisation due paul yiu. let p point in plane of triangle abc different centroid g. let line pg meet sidelines bc, ca , ab @ x, y , z respectively. let centroids of triangles ayz, bzx , cxy ga, gb , gc respectively. let pa point such ypa parallel cp , zpa parallel bp. let pb point such zpb parallel ap , xpb parallel cp. let pc point such xpc parallel bp , ypc parallel ap. let b c triangle formed lines gapa, gbpb , gcpc. then triangle b c congruent triangle abc , sides parallel sides of triangle abc. when p coincides orthocenter h of triangle abc line pg coincides euler line of triangle abc. triangle b c coincides gossard triangle agbgcg of triangle abc.