Taylor - Theoretic Arithmetic.pdf - Platonic Philosophy

BOOK Two 149
is generated by man, that period in which the augmentations
surpassing and surpassed, when they shall have received three
restitutions, and four boundaries of things assimilating and
dissimilating, increasing and decreasing, shall render all things
correspondent and effable; of which the sesquitertian progeny
when conjoined with the pentad, and thrice increased, affords
two harmonies. One of these, the equally equal, is a hundred
times a hundred; but the other, of equal length indeed, but
more oblong, is of a hundred numbers from effable diameters
of pentads, each being deficient by unity, and from two numbers
that are ineffable, and from a hundred cubes of the triad.
Rut the whole geometric number of this kind, is the author of
better and worse generations; of which when our governors
being ignorant, join our couples together unseasonably, the
children shall neither be of a good genius, nor fortunate."
In the second place, with respect to the meaning of what is
here said by Plato, as to the periodical mutation of things in
the sublunary region, it must be observed, that all the parts of
the universe are unable to participate of the providence of
divinity in a similar manner, but some of its parts enjoy this
eternally, and others temporally; some in a primary, and others
in a secondary degree. For the universe being a perfect whole,
must have a first, a middle, and a last part. But its first parts,
as having the most excellent subsistence, must always exist
according to nature; and its last parts must sometimes subsist
according to, and sometimes contrary to nature. Hence
the celestial bodies, which are the first parts of the universe,
perpetually subsist according to nature, both the whole spheres,
and the multitude coordinate to these wholes; and the only
alteration which they experience, is a mutation of figure, and
variation of light at different periods. But in the sublunary
region, while the spheres of the elements remain on account of
their- subsistence as wholes, always according to nature, the