We take an arbitrary point A on the line OO. OO can then be considered as one of the numerous rays emitted from the point A. there exists a single and unique point A’ for A, and A’ is the for all the rays emitted from A and passing through the system. Thus A’ must lie on the line QQ. Since A is an arbitrary point on the line OO, it is seen that the images of all the points on OO will lie on QQ. Hence QQ is the of OO.