erratic stars, but because also it possesses so great mastery, that is, so great power, that even it leads round, along with itself, by a peculiar strength of its own, those heavenly bodies—that is, the erratic stars—that are whirled along in contrary directions from west to east, and, in like manner, from east to west.
And he asserts that this motion was allowed to be one and indivisible, in the first place, inasmuch as the revolutions of all the fixed stars were accomplished in equal periods of time, and were not distinguished according to greater or less portions of duration. In the next place, they all present the same phase as that which belongs to the outermost motion; whereas the erratic stars have been distributed into greater and varying periods for the accomplishment of their movements, and into unequal distances from earth. And he asserts that the motion in six parts of the other has been distributed probably into seven circles. For as many as are sections of each [circle]—I allude to monads of the sections[1]—become segments; for example, if the division be by one section, there will be two segments; if by two, three segments; and so, if anything be cut Into six parts, there will be seven segments. And he says that the distances of these are alternately arranged both in double and triple order, there being three of each,—a principle which, he has attempted to prove, holds good of the composition of the soul likewise, as depending upon the seven numbers. For among them there are from the monad three double [numbers], viz. 2, 4, 8, and three triple ones, viz. 3, 9, 27. But the diameter of Earth is 80,108 stadii; and the perimeter of Earth, 250,543 stadii; and the distance also from the surface of the Earth to the lunar circle, Aristarchus the Samian computes at 8,000,178 stadii, but Apollonius 5,000,000,
- ↑ Schneidewin, on Roeper's suggestion, amends the passage thus, though I am not sure that I exactly render his almost unintelligible Latin version: "For as many sections as there are of each, there are educible from the monad more segments than sections; for example, if," etc. The Abbe Cruice would seemingly adopt the following version: "For whatsoever are sections of each, now there are more segments than sections of a monad, will become; for example, if," etc.
