The universe revolves around a centre once in twenty-four hours,
but the orbits of the fixed stars take a different direction from
those of the planets. The outer and the inner sphere cross one
another and meet again at a point opposite to that of their first
contact; the first moving in a circle from left to right along
the side of a parallelogram which is supposed to be inscribed in
it, the second also moving in a circle along the diagonal of the
same parallelogram from right to left; or, in other words, the
first describing the path of the equator, the second, the path of
the ecliptic. The motion of the second is controlled by the
first, and hence the oblique line in which the planets are
supposed to move becomes a spiral. The motion of the same is said
to be undivided, whereas the inner motion is split into seven
unequal orbits—the intervals between them being in the ratio of
two and three, three of either:—the Sun, moving in the opposite
direction to Mercury and Venus, but with equal swiftness; the
remaining four, Moon, Saturn, Mars, Jupiter, with unequal
swiftness to the former three and to one another. Thus arises the
following progression:—Moon 1, Sun 2, Venus 3, Mercury 4, Mars 8,
Jupiter 9, Saturn 27. This series of numbers is the compound of
the two Pythagorean ratios, having the same intervals, though not
in the same order, as the mixture which was originally divided in
forming the soul of the world.
Plato was struck by the phenomenon of Mercury, Venus, and the Sun
appearing to overtake and be overtaken by one another. The true
reason of this, namely, that they lie within the circle of the
earth’s orbit, was unknown to him, and the reason which he
gives—that the two former move in an opposite direction to the
latter—is far from explaining the appearance of them in the
heavens. All the planets, including the sun, are carried round in
the daily motion of the circle of the fixed stars, and they have
a second or oblique motion which gives the explanation of the
different lengths of the sun’s course in different parts of the
earth. The fixed stars have also two movements—a forward movement
in their orbit which is common to the whole circle; and a
movement on the same spot around an axis, which Plato calls the
movement of thought about the same. In this latter respect they
are more perfect than the wandering stars, as Plato himself terms
them in the Timaeus, although in the Laws he condemns the
appellation as blasphemous.