Решение на момент правки #19823 от , автор Tete. Это не текущая версия.

Statement

13.1.18. Draw an image of a rectangle with the long side lying on the axis of a spherical mirror with the radius of curvature . The front side of the rectangle is located at a distance from the mirror pole.

For problem $13.1.18$

Solution

For problem $13.1.18$
For problem

The bottom left corner of the rectangle is at the center of curvature of the mirror, so its image remains at that point. The top left corner of the rectangle and its image are symmetric with respect to the principal axis. The bottom right corner of the rectangle is at the focal point of the mirror, so its image is on the principal axis at infinity. The image of the top right corner of the rectangle is also at infinity. Since the top side is parallel to the principal axis, its image is on a line through the focal point. In the figure, the rectangle is shown with thin lines, while its image is shown with thick lines.

Answer

The figure is shown.