Projection onto 4 Centers of Triangles

P is the projection of vertex V on the horizontal ground.[br][br]Where[br]H: orthocenter of ABC[br]I: incenter of ABC[br]O: circumcenter of ABC[br]G: centroid of ABC[br][br]What can do you observe when P lies on these centers of triangle?

Information: Projection onto 4 Centers of Triangles