(238.) In like manner, when we reason respecting the action of forces
on a fluid mass, all we have occasion to assume is, that its parts
are freely moveable one among the other. If, besides this, we choose
to regard a fluid as incompressible, and deduce conclusions on this
supposition, they will hold good only so far as there may be found
such fluids in nature. Now, in strictness, there are none such; but,
practically speaking, in the greater number of cases their resistance
to compression is so very great that the result of the reasoning so
carried on is not sensibly vitiated; and, in the remaining cases,
the same general principles enable us to enter on a special enquiry
directed to this point: and hence the division of fluids, in mechanical
language, into compressible and incompressible, the latter being only
the extreme or limiting case of the former.
(239.) As we propose here, however, only to consider what is the actual
constitution of nature, we shall regard all bodies, as they really
are, more or less flexible and yielding. We know for certain, that
the space which any material body appears to occupy is not entirely
filled by it; because there is none which by the application of a
sufficient force may not be _compressed_ or forced into a smaller
space, and which, either wholly, as in air or liquids, or in part, as
in the greater number of solids, will not recover its former dimensions
when the force is taken off. In the case of air, this condensation
may be urged to almost any extent; and not only does a mass of air
so condensed completely recover its original bulk, when the applied
pressure is removed, but if that ordinary pressure under which it
exists at the earth’s surface (and which arises from the weight of
the atmosphere) be also removed by an air-pump, it will still further
dilate itself without limit so far as we have yet been able to try
it. Hence we are led to the conclusion that the particles of air are
mutually elastic, and have a _tendency to recede from one another_,
which can only be counteracted by _force_, and therefore is itself a
force of the repulsive kind. Nevertheless, as air is heavy, and as
gravitation is a universal property of matter, there is no doubt that
this repulsive tendency must have a limit, and that there is a distance
to which, if the particles of the air could be removed from each other,
their mutual repulsion would cease, and an attraction take its place.
This limit is probably attained at some very great height above the
earth’s surface, beyond which, of course, its atmosphere cannot extend.
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