The sixth axiom of origami says that we can fold two points P1, P2 onto two lines l1, l2 respectively. In general, there are three such fold lines f1, f2, f3, as the equation induced is cubic. Let Q1 = f2 ∩ f3, Q2 =f1∩f3, Q3 = f1∩f2, and C be the circle containing points Q1,Q2,Q3. We show that P1, P2 ∈ C, with two related conjectures for dessert.