In this paper we prove that if P₁,P₂ are isogonal points in the triangle ABC , and if A₁B₁C₁ and A₂B₂C₂ are their ponder triangle such that the triangles ABC and A₁B₁C₁ are homological (the lines AA₁ , BB₁ , CC₁ are concurrent), then the triangles ABC and A₂B₂C₂ are also homological.