Problem 5.53

Suppose $F$ and $F^{\prime}$ are the front and rear focal points of an optical system, and $H$ and $H^{\prime}$ are its front and rear principal points. By means of plotting find the position of the image $S^{\prime}$ of the point $S$ for the following relative positions of the points $S, F, F^{\prime}, H$ and $H^{\prime}:$ (a) $F S H H^{\prime} F^{\prime}$; (b) $H S F^{\prime} F H^{\prime}$ (c) $H^{\prime} S F^{\prime} F H$ (d) $F^{\prime} H^{\prime} S H F$.