14. _Foundation of the above Axiom._--But it will naturally
be asked, What then is the ground of our conviction of this
doctrine of the equal pressure of a fluid in all directions?
And to this I reply, that the reasons of this conviction are
involved in our idea of a fluid, which is considered as
matter, and therefore as capable of receiving, resisting,
and transmitting force according to the general conception
of matter; and which is also considered as matter which has
its parts perfectly moveable among one another. For it
follows from these suppositions, that if the fluid be
confined, a pressure which thrusts in one side of the
containing vessel, may cause any other side to bulge
outwards, if there be a part of the surface which has not
strength to resist this pressure from within. And that this
pressure, when thus transferred into a direction different
from the original one, is not altered in intensity, {233}
depends upon this consideration; that any difference in the
two pressures would be considered as a defect of _perfect_
fluidity, since the fluidity would be still more complete,
if this entire and undiminished transmission of pressure in
all directions were supposed. If, for instance, the lateral
pressure were less than the vertical, this could be
conceived no other way than as indicating some rigidity or
adhesion of the parts of the fluid. When the fluidity is
perfect, the two pressures which act in the two different
parts of the fluid exactly balance each other: they are the
action and the reaction; and must hence be equal by the same
necessity as two directly opposite forces in statics.
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