nting to him;
wherefore the universe had no feet or legs.
And so the thought of God made a God in the image of a perfect body,
having intercourse with himself and needing no other, but in every part
harmonious and self-contained and truly blessed. The soul was first made
by him--the elder to rule the younger; not in the order in which our
wayward fancy has led us to describe them, but the soul first and
afterwards the body. God took of the unchangeable and indivisible and
also of the divisible and corporeal, and out of the two he made a third
nature, essence, which was in a mean between them, and partook of the
same and the other, the intractable nature of the other being compressed
into the same. Having made a compound of all the three, he proceeded
to divide the entire mass into portions related to one another in the
ratios of 1, 2, 3, 4, 9, 8, 27, and proceeded to fill up the double and
triple intervals thus--
- over 1, 4/3, 3/2, - over 2, 8/3, 3, - over 4, 16/3, 6, - over 8:
- over 1, 3/2, 2, - over 3, 9/2, 6, - over 9, 27/2, 18, - over 27;
in which double series of numbers are two kinds of means; the one
exceeds and is exceeded by equal parts of the extremes, e.g. 1, 4/3, 2;
the other kind of mean is one which is equidistant from the extremes--2,
4, 6. In this manner there were formed intervals of thirds, 3:2, of
fourths, 4:3, and of ninths, 9:8. And next he filled up the intervals
of a fourth with ninths, leaving a remnant which is in the ratio of
256:243. The entire compound was divided by him lengthways into two
parts, which he united at the centre like the letter X, and bent into an
inner and outer circle or sphere, cutting one another again at a point
over against the point at which they cross. The outer circle or sphere
was named the sphere of the same--the inner, the sphere of the other
or diverse; and the one revolved horizontally to the right, the other
diagonally to the left. To the sphere of the same which was undivided
he gave dominion, but the sphere of the other or diverse was distributed
into seven unequal orbits, having intervals in ratios of twos and
threes, three of either sort, and he bade the orbits move in opposite
directions to one another--three of them, the Sun, Mercury, Venus,
with equal swiftness, and the remaining four--the Moon, Saturn, Mars,
Jupiter, with unequal swiftness to the three and to one another, but all
in due proportion.
When the Creator had made the soul he ma
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