The Catholic World, Vol. 11, April, 1870 to September, 1870Various
Religion
The Catholic World, Vol. 11, April, 1870 to September, 1870
Various
Catholic Church -- Periodicals
But it does not seem evident that an attractive medium would not
also interfere with the passage of bodies through it, though not
in the same way as a repulsive one; and the oscillation through
its centre necessary for its preservation complicates the theory
somewhat. Also, any marked accumulation of a powerfully acting
medium round the various celestial bodies would cause, if varied
in any way by their changes of relative position, perturbations in
their movements. The very fact, however, that its own action was so
energetic might make the disturbance in its arrangement produced by
other masses small, especially if it penetrates those masses, as is
probably generally maintained. The subject is, of course, one of
great difficulty, and objections readily suggest themselves to any
hypothesis regarding it; still, it would appear that on some accounts
it might be better, instead of assuming the medium to be wholly or
predominantly attractive or repulsive, to suppose it to have the two
forces equally balanced in its constitution; and if it be, like other
matter, grouped in molecules, the balance would naturally exist in
each molecule, making it inert at any but very small distances, and
exerting at these very small distances a force the character of which
would vary according to the direction.
We have said that the discussion of the exterior action of the
molecules--that is, of their action on each other, or on exterior
points in general--would be exceedingly complicated. The only way
in which it seems practicable is that in which the mutual actions
of the planets have been investigated, namely, a development of the
force in the form of a series; but this cannot be done advantageously
unless the distances between the molecules are considerably greater
than the molecular diameters. If, however, we make the development of
the ratio of the attraction (or repulsion) exerted by the vertices
of a regular polyhedron in the direction of its centre, to what it
would exert if concentrated at that centre, in a series of the powers
of the ratio of the molecular radius to the distance of the point
acted on from the centre, it will be found that the coefficients
of the first and second powers vanish in all cases; and that in
all, except that of the tetrahedron, those of all the odd powers
also disappear, as well as that of the fourth in the dodecahedron
and icosahedron. If, then, the absolute attractive or repulsive
power of any envelope is very nearly compensated by that of an
opposite character prevailing in the rest of the molecule, (as seems
probable,) the whole series can be reduced, at any distance which is
very great compared with the molecular diameter, to two terms--one
a constant with a very small value, and the other containing the
third, fourth, or sixth power of the small quantity which the ratio
of the diameter to the distance has now become. This should have a
negative multiplier, in order that the force should become zero; and
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