(72.) Motion and pressure are terms too familiar to need explanation.
It may be observed, generally, that definitions in the first rudiments
of a science are seldom, if ever, comprehended. The force of words is
learned by their application; and it is not until a definition becomes
useless, that we are taught the meaning of the terms in which it is
expressed. Moreover, we are perhaps justified in saying, that in the
mathematical sciences the fundamental notions are of so uncompounded a
character, that definitions, when developed and enlarged upon, often
draw us into metaphysical subtleties and distinctions, which, whatever
be their merit or importance, would be here altogether misplaced. We
shall, therefore, at once take it for granted, that the words _motion_
and _pressure_ express phenomena or effects which are the subjects
of constant experience and hourly observation; and if the scientific
use of these words be more precise than their general and popular
application, that precision will soon be learned by their frequent use
in the present treatise.
(73.) FORCE is the name given in mechanics to whatever produces motion
or pressure. This word is also often used to express the motion or
pressure itself; and when the cause of the motion or pressure is not
known, this is the only correct use of the word. Thus, when a piece of
iron moves toward a magnet, it is usual to say that the cause of the
motion is “the attraction of the magnet;” but in effect we are ignorant
of the _cause_ of this phenomenon; and the name _attraction_ would
be better applied to the effect of which we have experience. In like
manner the _attraction_ and _repulsion_ of electrified bodies should be
understood, not as names for unknown causes, but as words expressing
observed appearances or effects.
When a certain phraseology has, however, gotten into general use, it
is neither easy nor convenient to supersede it. We shall, therefore,
be compelled, in speaking of motion and pressure, to use the language
of causation; but must advise the student that it is effects and not
causes which will be expressed.
(74.) If two forces act upon the same point of a body in different
directions, a single force may be assigned, which, acting on that
point, will produce the same result as the united effects of the other
two.
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