(240.) What, however, we can only conclude by this or similar reasoning
respecting air, we see distinctly in liquids. They are all, though
in a small degree, compressible, and recover their former dimensions
completely when the pressure is removed; but they cannot be dilated (by
mechanical means), and have no tendency, while they remain liquids, to
enlarge themselves beyond a certain limit, and therefore they assume a
determinate _surface_ while at rest, and their parts actually resist
further separation with a considerable force, thus giving rise to the
phenomenon of the _cohesion of liquids_.
(241.) Both in air and in liquids, however, the most perfect freedom
of motion of the parts among each other subsists, which could hardly
be the case if they were not separate and independent of each other.
And from this, combined with the foregoing considerations, it has been
concluded that they do not actually touch, but are kept asunder at
determinate distances from each other, by the constant action of the
two forces of attraction and repulsion, which are supposed to balance
and counteract each other at the ordinary distances of the particles,
but to prevail, the one, or the other, according as they are forcibly
urged together or pulled asunder.
(242.) In solids, however, the case is very different. The mutual free
motion of their parts _inter se_ is powerfully impeded, and in some
almost destroyed. In some, a slow and gradual change of figure may be
produced to a great extent, by pressure or blows, as for instance in
the metals, clay, butter, &c.; in others, fracture is the consequence
of any attempt to change the figure by violence beyond a certain very
small limit. In solids, then, it is evident, that the consideration of
their intimate structure has a very great influence in modifying the
general results of the action of such attractive and repulsive forces
as may be assumed to account for the phenomena they present; yet the
general facts that their parts _cohere_ with a certain energy, and that
they resist displacement or intrusion on the part of other bodies,
are sufficient to demonstrate at least the existence of such forces,
whatever obscurity may subsist as to their mode of action.
(243.) This division of bodies into airs, liquids, and solids, gives
rise, then, to three distinct branches of mechanical science, in each
of which the general principles of equilibrium and motion have their
peculiar mode of application; viz. pneumatics, hydrostatics, and what
might, without impropriety, be termed stereostatics.
_Pneumatics._
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