[Footnote 43: φθάσει συνδραμεῖν, “arrive at concurrence with.” Sextus answers the question in the negative.] [Footnote 44: Here the quotations from Sextus end.] [Footnote 45: παρ’ ἔθνεσι “among the nations.” A curious expression in the mouth of a Greek, although natural to a Jew.] [Footnote 46: Is this an allusion to trigonometry? The rest of the sentence, as will presently be seen, refers to Plato’s _Timæus_. Cf. also _Timæus the Locrian_, c. 5.] [Footnote 47: Διὸ τοῖς ἐπιτόμοις χρησάμενος. An indication that Hippolytus’ knowledge of Plato was not first-hand.] [Footnote 48: The passage which follows is from the _Timæus_, XII, where Plato describes how the World-maker set in motion two concentric circles revolving different ways, the external called the Same and Like, and the internal the Other, or Different.] [Footnote 49: This seems to be generally accepted as Plato’s meaning. Jowett says the three are the orbits of the Sun, Venus and Mercury, the four those of the Moon, Saturn, Mars and Jupiter. The Wanderers are of course the planets.] [Footnote 50: _i. e._, swifter and slower.] [Footnote 51: ἐπιφανεία.] [Footnote 52: Perhaps the following extract from the pseudo-Timæus the Locrian, now generally accepted as a summary of the second century, may make this clearer. After explaining that the cosmos and its parts are divided into “the Same” and “the Different,” he says: “The first of these leads from without all that are within them, along the general movement from East to West. But the latter, belonging to the Different, lead from within the parts that are carried along from West to East, and are self-moved, and they are whirled round and along, as it may happen, by the movement of the Same which possesses in the Cosmos a superior power. Now the movement of the Different, being divided according to a harmonical proportion, takes the form of 7 circles,” and he then goes on to describe the orbits of the planets.] [Footnote 53: Lit., “if one section be severed.”] [Footnote 54: Cf. Plato, _Timæus_, c. 12.] [Footnote 55: A palpable mistake. As Cruice points out, if the Earth’s diameter is as said in the text, its perimeter must be 251,768 stadia, which is not far from the 252,000 stadia assigned to it by Eratosthenes.] [Footnote 56: Lacunæ in both these sentences.] [Footnote 57: The common Greek name for the planet Ares or Mars (♂).] [Footnote 58: All these numbers are hopelessly corrupt in the text and the scribe varies the notation repeatedly. I have given the figures as finally settled by Cruice and his predecessors. The Shining One is the planet Hermes or Mercury (☿).] [Footnote 59: βάθη, “depths”; rather height if we consider the orbits of the planets as concentric and fitting into one another like jugglers’ caps or the skins of an onion.]