8. I reckon it enough therefore to declare the marvels described by them. Wherefore I shall employ their epitomes,[47] as they call them, and then turn to other things. They say this:[48] he who fashioned the universe, gave rule to the revolution of the Same and Like, for that alone he left undivided; but the inner motion he divided 6 times and made 7 unequal circles divided by intervals in ratios of 2 and 3, 3 of each, and bade the circles revolve in directions opposite to one another--3 of them to revolve at equal pace, and 4 with a velocity unlike that of the 3, but in [Sidenote: p. 68.] due proportion.[49] And he says that rule was given to the orbit of the 7, not only because it embraces the orbit of the Other, _i. e._, the Wanderers; but because it has so much rule, _i. e._, so much power, that it carries along with it the Wanderers to the opposite positions, bearing them from West to East and from East to West by its own strength. And he says that the same orbit was allowed to be one and undivided, first because the orbits of all the fixed stars are equal in time and not divided into greater and lesser times.[50] And next because they all have the same appearance,[51] which is that of the outermost orbit, while the Wanderers are divided into more and different kinds of movements and into unequal distances from the Earth. And he says that the Other orbit has been cut in 6 places into 7 circles according to ratio.[52] For as many cuts as there are of each, so many segments are there _plus_ a monad. For example if one cut be made,[53] there are 2 segments; if 2 cuts, 3 segments; and so, if a thing be cut 6 times there [Sidenote: p. 69.] will be 7 segments. And he says that the intervals between them are arranged alternately in ratios of 2 and 3, 3 of each, which he has proved with regard to the constitution of the soul also, as to the 7 numbers. For 3 among them, viz., 2, 4, 8, are doubles from the monad onwards and 3 of them, viz., 3, 9, 27 [triples][54].... But the diameter of the Earth is 80,008 stadia and its perimeter 250,543.[55] And the distance from the Earth’s surface to the circle of the Moon, Aristarchus of Samos writes as ...[56] stadia but Apollonius as 5,000,000 and Archimedes as 5,544,130. And Archimedes says that from the Moon’s circle to that of the Sun is 50,262,065 stadia; from this to the circle of Aphrodite 20,272,065; and from this to the circle of Hermes 50,817,165; and from the same to the circle of [Sidenote: p. 70.] the Fiery One[57] 40,541,108; and from this to the circle of Zeus 20,275,065; but from this to the circle of Kronos, 40,372,065; and from this to the Zodiac and the last periphery 20,082,005 stadia.