The Practical Astronomer: Comprising illustrations of light and colours--practical descriptions of all kinds of telescopes--the use of the equatorial-transit--circular, and other astronomical instruments, a particular account of the Earl of Rosse's large telescopes, and other topics connected with astronomyDick, Thomas
Science
The Practical Astronomer: Comprising illustrations of light and colours--practical descriptions of all kinds of telescopes--the use of the equatorial-transit--circular, and other astronomical instruments, a particular account of the Earl of Rosse's large telescopes, and other topics connected with astronomy
Dick, Thomas
Astronomical instruments; Astronomy; Telescopes
rays are continually traversing the immense spaces of creation, or
from some other sources to us unknown.
6. _The intensity of light is diminished in proportion to the square
of the distance from the luminous body._ Thus, a person at two feet
distance from a candle, has only the fourth part of the light he would
have at one foot, at three feet distance the ninth part, at four feet
the sixteenth part, at five feet the twenty fifth part, and so on for
other distances. Hence the light received by the planets of the Solar
system decreases in proportion to the squares of the distances of these
bodies from the sun. This may be illustrated by the following figure,
[Illustration: _Figure 1._]
Suppose the light which flows from a point A, and passes through a
square hole B, is received upon a plane C, parallel to the plane of the
hole--or, let the figure C be considered as the shadow of the plane B.
When the distance of C is double of B, the length and breadth of the
shadow C will be each double of the length and breadth of the plane B,
and treble when AD is treble of AB, and so on, which may be easily
examined by the light of a candle placed at A. Therefore the surface of
the shadow C, at the distance AC--double of AB, is divisible into four
squares, and at a treble distance, into nine squares, severally equal
to the square B, as represented in the figure. The light, then, which
falls upon the plane B being suffered to pass to double that distance,
will be uniformly spread over four times the space, and consequently
will be four times thinner in every part of that space. And at a treble
distance it will be nine times thinner, and at a quadruple distance
sixteen times thinner than it was at first. Consequently the quantities
of this rarified light received upon a surface of any given size and
shape when removed successively to these several distances, will be but
one-fourth, one-ninth, one-sixteenth, of the whole quantity received by
it at the first distance AB.
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