Now that which is created is of necessity corporeal, and also
visible and tangible. And nothing is visible where there is no
fire, or tangible which has no solidity, and nothing is solid
without earth. Wherefore also God in the beginning of creation
made the body of the universe to consist of fire and earth. But
two things cannot be rightly put together without a third; there
must be some bond of union between them. And the fairest bond is
that which makes the most complete fusion of itself and the
things which it combines; and proportion is best adapted to
effect such a union. For whenever in any three numbers, whether
cube or square, there is a mean, which is to the last term what
the first term is to it; and again, when the mean is to the first
term as the last term is to the mean—then the mean becoming first
and last, and the first and last both becoming means, they will
all of them of necessity come to be the same, and having become
the same with one another will be all one. If the universal frame
had been created a surface only and having no depth, a single
mean would have sufficed to bind together itself and the other
terms; but now, as the world must be solid, and solid bodies are
always compacted not by one mean but by two, God placed water and
air in the mean between fire and earth, and made them to have the
same proportion so far as was possible (as fire is to air so is
air to water, and as air is to water so is water to earth); and
thus he bound and put together a visible and tangible heaven. And
for these reasons, and out of such elements which are in number
four, the body of the world was created, and it was harmonized by
proportion, and therefore has the spirit of friendship; and
having been reconciled to itself, it was indissoluble by the hand
of any other than the framer.