 By induction, has a combinatorially isomorphic straight line re-embedding in which is the outer face.Because the re-embedding of was combinatorially isomorphic to , removing from it the edges which were added to create leaves the face , which is now a polygon with at most five sides.To complete the drawing to a straight-line combinatorially isomorphic re-embedding of , should be placed in the polygon and joined by straight lines to the vertices of the polygon.