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.