πυραυγέα κύκλον ἑλίσσων

αἰθέρος ἑπταπόροις ἐνὶ τείρεσιν, ἔνθα σε πῶλοι

ζαφλεγέες τριτάτης ὑπὲρ ἄντυγος αἰὲν ἔχουσι.

So, in allusion to an essentially Pythagorean view, Proclus says to the planet Venus (h. iv. 17):

εἴτε καὶ ἑπτὰ κύκλων ὑπὲρ ἄντυγας αἰθέρα ναίεις.

[473]. On the concentric spheres of Eudoxos, see Dreyer, Planetary Systems, chap. iv. It is unfortunate that the account of Plato’s astronomy given in this work is wholly inadequate, owing to the writer’s excessive reliance on Boeckh, who was led by evidence now generally regarded as untrustworthy to attribute all the astronomy of the Academy to their predecessors, and especially to Philolaos.

[474]. Such a repetition (παλινδρομία) is characteristic of all Greek style, but the repetition at the end of the period generally adds a new touch to the statement at the opening. The new touch is here given in the word ἵεται. I do not press this interpretation, but it seems to me much the simplest.

[475]. Simpl. Phys. p. 34, 14 (R. P. 125 b).

[476]. Diog. ix. 21 (R. P. 126 a).

[477]. I do not discuss the interpretation of περὶ ὃ πάλιν πυρώδης which Diels gave in Parmenides Lehrgedicht, p. 104, and which is adopted in R. P. 162 a, as it is now virtually retracted. In the second edition of his Vorsokratiker (p. 111) he reads καὶ τὸ μεσαίτατον πασῶν στερεόν, <ὑφ’ ᾧ> πάλιν πυρώδης [sc. στεφάνη]. That is a flat contradiction. It is of interest to observe that Mr. Adam also gets into the interior of the earth in his interpretation of the Myth of Er. It is instructive, too, because it shows that we are really dealing with the same order of ideas. The most heroic attempt to save the central fire for Pythagoras was my own hypothesis of an annular earth (1st ed. p. 203). This has met with well-deserved ridicule; but all the same it is the only possible solution on these lines. We shall see in Chap. VII. that the central fire belongs to the later development of Pythagoreanism.