Let us suppose that we have an empty earth to fill up; if we place one
mass of matter at London and another at Calcutta, they could have no
tendency of themselves to fall to the centre, but if left alone would
go for each other in a straight line and meet half-way between the two,
provided they were equal in mass, and attraction, not gravitation,
would be the proper term to apply to them. But supposing that two
equal masses were placed at their antipodes and the four were left to
themselves, they would gravitate towards and meet at the centre in the
usual meaning of the word, but the force that drew them there would
be really that of attraction. We could, however, place four similar
and equal masses at the centre, and give the outer ones just and good
reason for gravitating or falling down to it, because those at the
centre being equally attracted in the four directions might remain
stationary there, but would be in a state of unstable equilibrium. We
may now suppose that when the masses had just left London and Calcutta
to meet the others, a goodly number of other equal masses were added to
those at these two places and began to attract the two bound towards
the centre, they would prevent the two from proceeding, or at least
retard them on their journey inwards. Moreover, the larger numbers at
these two places would attract the four masses at the centre with more
force than would the two at the antipodes, and would draw the whole of
the four away from the centre and outwards towards themselves; but we
might also suppose that at the same moment an equal number of equal
masses were added to those at the antipodes, which would again equalize
the attractions at the four outer posts, and things would continue as
they were at the first; with this difference, that the four at the
centre would not be able to balance the attractions at the four outer
posts, and the consequence would be--seeing that the forces at the four
outer stations were equal to each other, and far superior to the four
at the centre--that each one of the four at the centre would be drawn
away from it towards one of the outer stations--provided the law of
attraction acted impartially--and so the centre would be left without
any of the masses at it, that is empty. No doubt when the four outgoing
masses met the larger ones coming in, they would all then move towards
the centre; but the four places where they met would be immensely
nearer the places occupied at first by the outer masses than half-way
between them and the centre--proportioned, in exact conformance with
the law of attraction, to the excess of the numbers of the masses at
the outer stations over those at the centre--and they would be moving,
all of them together, to a remote and void space. We may now increase
the four outer stations to thousands or millions, with the security
that the mode of proceeding would be the same with the whole of them;
that is, that the first tendency of the masses at each one of the
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