This, I trust, will be evident from the following considerations. When
a pound of water has flowed down from the equator to the pole, it has
descended 4 feet, and is then at the foot of the slope. Gravity has
therefore no more power to pull it down to a lower level. It will not
sink through the polar water, for it is not denser than the water
beneath on which it rests. But it may be replied that although it will
not sink through the polar water, it has nevertheless made the polar
column heavier than the equatorial, and this excess of pressure forces
a pound of water out from beneath and allows the column to descend.
Suppose it may be argued that a quantity of water flows down from the
equator, so as to raise the level of the polar water by, say, one foot.
The polar column will now be rendered heavier than the equatorial by
the weight of one foot of water. The pressure of the one foot will
thus force a quantity of water laterally from the bottom and cause the
entire column to descend till the level of equilibrium is restored. In
other words, the polar column will sink one foot. Now in the sinking of
this column work is performed by gravity. A certain amount of work is
performed by gravity in causing the water to flow down the slope from
the equator to the pole, and, in addition to this, a certain amount is
performed by gravity in the vertical descent of the column.
I freely admit this to be sound reasoning, and admit that so much is
due to the slope and so much to the vertical descent of the water. But
here we come to the most important point, viz., is there the full slope
of 4 feet and an additional vertical movement? Dr. Carpenter seems
to conclude that there is, and that this vertical force is something
in addition to the force which I derive from the slope. And here, I
venture to think, is a radical error into which he has fallen in regard
to the whole matter. Let it be observed that, when water circulates
from difference of specific gravity, this vertical movement is just as
real a part of the process as the flow down the slope; but the point
which I maintain is that _there is no additional power derived from
this vertical movement over and above what is derived from the full
slope_—or, in other words, that this _primum mobile_, which he says I
have overlooked, has in reality no existence.
Perhaps the following diagram will help to make the point still
clearer:—
[Illustration: Fig. 1.]
Public-domain text, read in full here on John Shaqi.
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