Similarly the pencil b
is reflected so that the reflected rays seem to start from b' f and every point in A b similarly sends out beams of light, the result being the formation of the image a' b', which is virtual, since the rays p e, etc., do not actually pass through it. It is easy to show that a b and A' b' are equal and equi-distant from M si'. An image formed by a plane mirror is not a facsimile of the object; thus an image of the page of a book bears to the page itself the same relation as the type does to the actual print. If two mirrors be placed parallel to each other, an infinite number of images will be formed of an object between them, and a symmetrical arrangement of images is always formed when the angle between two mirrors is an aliquot part of 360°. This principle is employed in the kaleidoscope (q.v.) Mirrors are often made spherical in shape, and in this case an image is formed which is usually not so sharply defined as in the case of a plane mirror. This is due to snherical aberration (q.v.). In the case of a concave mirror, when the object (o) is farther away from the mirror than the centre of curvature (c), the image (i) is smaller than the object, and is formed between c and a point (v) half-way between c and the mirror (Fig. 2). As the object moves towards C, the image, which is real and inverted, moves to meet it, so that both coincide at c. As an illustration of this, a man may so arrange matters that his hand may appear to be shaking its own image. If the object be between F and the mirror, the image is behind the mirror, is erect and virtual. If an object, ab, be placed in front of a convex mirror, the image A' b' is behind the mirror, and is virtual and erect. This is shown in the accompanying figure, and the construction is equally easy for the cases quoted previously with regard to a concave mirror. Concave mirrors are often used for medical purposes, since light can be concentrated on any special object by means of them. They are also used in reflecting telescopes. Convex mirrors are not often employed.