Suppose F and F' are the front and rear focal points of an optical system, and H and H' are its front and rear principal points. By means of plotting find the position of the image S' of the point S for the following relative positions of the points S, F, F', H, and H':
(a) FSHH'F'; (b) HSF'FH'; (c) H'SF'FH; (d) F'H'SHF.