Let us suppose that the whole mass had assumed nearly the form of a
sphere. We have already shown that, although the general force of
attraction would cause all the component particles of the sphere to
mutually draw each other in towards the centre, yet the more powerful
tendency of the particles at the exterior--due to their greatly
superior number--would at first be to draw the particles near the
centre outwards towards them, and that there would consequently be
a void at the centre, for a time at least. Of course it is to be
understood that each part of the exterior surface would draw out to it
the particles on its own side of the centre, just in the same manner as
the four masses we placed at the centre were shown to be drawn out by
those at London, Calcutta, and their antipodes. Now we must try to find
out what would be the ultimate result of this action; whether it would
be to form a sphere solid to the centre, or whether the void at first
established there would be permanent.
In order to show how the heat of the sun is maintained by the
condensation and contraction of that luminary, Lord Kelvin--in his
lecture delivered at the Royal Institution, on Friday, January 21,
1887--described an ideal churn which he supposed to be placed in a
pit excavated in the body of the sun, with the dimension of one
metre square at the surface, and tapering inwards to nothing at the
centre. In imitation of him, we shall suppose a similar pit of the
same dimensions to be dug in the spherical mass, out of which we
have supposed the earth to have been formed; only we shall call it
a pyramid instead of a pit. This we shall suppose to be filled with
cosmic matter, and try to determine what form it would assume were it
condensed into solid matter, in conformity with the law of attraction.
The apex of our imaginary pyramid would, mathematically speaking, have
no dimension at all, but we shall assume that it had space enough to
contain one molecule of the cosmic matter of which the sphere was
formed. This being so arranged, we have to imagine how many similar
molecules would be contained in one layer at the base of the pyramid
at the surface of the sphere, and we may be sure that when brought
under the influence of attraction, the great multitude of them would
have far more power to draw away the solitary molecule from the apex,
than the single one there would have to draw the whole of those in
the layer at the base in to the centre of the sphere. A molecule of
the size of a cubic millimetre would be an enormously large one,
nevertheless one of that size placed at the apex of the pyramid would
give us one million for the first layer at the base, and shows us what
chance there would be of the solitary one maintaining its place at the
apex. At the distance of one-twentieth of the radius of the sphere
from the centre, the dimension of the base of the pyramid would be
one-twentieth of a square metre, and the proportion of preponderance of
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