No. 1. a b, d h represent two parallel rays incident on the concave surface b h, whose centre of concavity is c. b f and h f are the reflected rays meeting each other in f, and a b being perpendicular to the concave surface, is reflected in a straight line. No. 2. a b. The object. i m. The image.
Fig. 272.
a b represents the object, s v the reflecting surface, f its focus of parallel rays, and c its centre. Through a and b, the extremities of the object, draw the lines c e and c n, which are perpendicular to the surface, and let a r, a g, be a pencil of rays flowing from a. These rays proceeding from a point beyond the focus of parallel rays, will, after reflection, converge towards some point on the opposite side of the centre, which will fall upon the perpendicular, b c, produced, but at a greater distance from c than the radiant a from which they diverged. For the same reason, rays flowing from b will converge to a point in the perpendicular n c produced, which shall be further from c than the radiant b, from whence it is evident that the image i m is larger than the object a b, that it falls on the contrary side of the centre, and that their positions are inverted with respect to each other.
It appears, from a circumstance in the life of Socrates, that the effects of burning-glasses were known to the ancients; and it is probable that the Romans employed the concave speculum for the purpose of lighting the "sacred fire." This is very likely to be true, considering that the priests who conducted the heathen worship of Osiris and Adonis were acquainted with the use of concave metallic specula, as already described at [page 282]. The effects that can be produced with the aid of concave mirrors are very impressive, because they are not merely confined to the reflection of inanimate objects, but life and motion can be well displayed by them; thus, if a man place himself directly before a concave mirror, but further from it than its centre of concavity, he will see an inverted image of himself in the air between him and the mirror of a less size than himself; and if he hold out his hand towards the mirror the hand of the image will come out towards his hand and coincide with it, being of an equal bulk when his hand is in the centre of concavity, and he will imagine he may shake hands with his image. (Fig. 273.)
Fig. 273.
A concave mirror, showing the appearance of the inverted and reflected image in the air.
By using a large concave mirror of about three feet in diameter, the author was enabled to show all the results to a large audience that were usually visible to one person only. Whilst experimenting with a concave mirror, by holding out the hand in the manner described, a bystander will see nothing of the image, because none of the reflected rays that form it enter his eyes. This circumstance is well illustrated by placing a concave mirror opposite the fire, and allowing the image of the flames projected from it to fall upon a well-polished mahogany table. If the door of the room opens towards the mirror, and a spectator unacquainted with the properties of concave mirrors should enter the apartment, the person would be greatly startled to see flames apparently playing over the surface of the table, whilst another spectator might enter from another door and see nothing but a long beam of light, rendered visible by the floating particles of dust. To give proper effect to this experiment the concave mirror should be large, and no other light must illuminate the room except that from the fire.