(142.) Here, then, we see the great importance of possessing a stock
of analogous instances or phenomena which class themselves with that
under consideration, the explanation of one among which may naturally
be expected to lead to that of all the rest. If the analogy of two
phenomena be very close and striking, while, at the same time, the
cause of one is very obvious, it becomes scarcely possible to refuse
to admit the action of an analogous cause in the other, though not so
obvious in itself. For instance, when we see a stone whirled round in a
sling, describing a circular orbit round the hand, keeping the string
stretched, and flying away the moment it breaks, we never hesitate
to regard it as retained in its orbit by the tension of the string,
that is, by _a force_ directed to the centre; for we feel that we do
really exert such a force. We have here _the direct perception_ of the
cause. When, therefore, we see a great body like the moon circulating
round the earth and not flying off, we cannot help believing it to
be prevented from so doing, not indeed by a material tie, but by
that which operates in the other case through the intermedium of the
string,--a _force_ directed constantly to the centre. It is thus that
we are continually acquiring a knowledge of the existence of causes
acting under circumstances of such concealment as effectually to
prevent their direct discovery.
(143.) In general we must observe that motion, wherever produced or
changed, invariably points out the existence of _force_ as its cause;
and thus the forces of nature become known and measured by the
motions they produce. Thus, the _force_ of magnetism becomes known by
the deviation produced by iron in a compass needle, or by a needle
leaping up to a magnet held over it, as certainly as by that adhesion
to it, when in contact and at rest, which requires force to break the
connection; and thus the currents produced in the surface of a quantity
of quicksilver, electrified under a conducting fluid, have pointed out
the existence and direction of forces of enormous intensity developed
by the electric circuit, of which we should not otherwise have had the
least suspicion.[42]
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