Problem 5.52

An optical system is located in air. Let $O O^{\prime}$ be its optical axis, $F$ and $\hat{F}^{\prime}$ are the front and rear focal points, $H$ and $H^{\prime}$ are the front and rear principal planes, $P$ and $P^{\prime}$ are the conjugate points. By means of plotting find: (a) the positions $F^{\prime}$ and $H^{\prime}$ (Fig. $5.11 a$ ); (b) the position of the point $S^{\prime}$ conjugate to the point S (Fig. $5.11 b)$ (c) the positions $F, F^{\prime}$, and $H^{\prime}$ (Fig. $5.11 c$, where the path of the ray of light is shown before and after passing through the system).