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) \(F^{\prime} H^{\prime} S H F\).