§35.1Διὰ τί τὰ φερόμενα ἐν τῷ δινουμένῳ ὕδατι εἰς τὸ μέσον τελευτῶντα φέρονται ἅπαντα;
Why do all things carried in spinning water end up being carried to the center?
Πότερον ὅτι μέγεθος ἔχει τὸ φερόμενον, ὥστε ἐν δυσὶ κύκλοις εἶναι, τῷ μὲν ἐλάττονι τῷ δὲ μείζονι, ἑκάτερον αὐτοῦ τῶν ἄκρων.
Is it because the carried object has size, so that each of its ends is in two circles, one in the smaller and the other in the larger?
Ὤστε περισπᾷ ὁ μείζων διὰ τὸ φέρεσθαι θᾶττον, καὶ πλάγιον ἀπωθεῖαὐτὸ εἰς τὸν ἐλάττω.
Consequently, the larger circle pulls it around because it moves faster, and pushes it sideways into the smaller one.
§35.2Ἐπεὶ δὲ πλάτος ἔχει τὸ φερόμενον, καὶ οὗτος πάλιν τὸ αὐτὸ ποιεῖ, καὶ ἀπωθεῖ εἰς τὸν ἐντός, ἕως ἂν εἰς τὸ μέσον ἔλθῃ.
And since the carried object has width, this circle again does the same thing, and pushes it into the one inside, until it comes to the center.
Καὶτότε μένει διὰ τὸ ὁμοίως ἔχειν πρὸς ἄπαντας τοὺς κύκλους τὸ φερόμενον, διὰ τὸ μέσον· καὶ γὰρ τὸ μέσον ἴσον ἀπέχει ἐν ἑκάστῳ τῶν κύκλων.
And then it remains there because the carried object, being at the center, is related in the same way to all the circles; for the center is equidistant from each of the circles.
§35.3Ἣ ὅτι ὅσων μὲν μὴ κρατεῖ ἡ φορὰ τοῦ δινουμένου ὕδατος διὰ τὸ μέγεθος, ἀλλ’ ὑπερέχει τῇ βαρύτητι τῆς τοῦ κύκλου ταχυτῆτος, ἀνάγκη ὑπολείπεσθαι καὶ βραδύτερον φέρεσθαι.
Or is it because, in the case of those things which the motion of the spinning water does not control because of their size, but which exceed the speed of the circle by their weight, they must fall behind and be carried more slowly?
βραδύτερον δὲ ὁ ἐλάττων κύκλος φέρεται· τὸ αὐτὸ γὰρ ἐν ἴσῳ χρόνῳ ὁ μέγας τῷ μικρῷ στρέφεται κύκλῳ, ὅταν ὦσι περὶ τὸ αὐτὸ μέσον.
And the smaller circle is carried more slowly; for the large circle rotates in the same time as the small one, when they are around the same center.
§35.4Ὤστε εἰς τὸν ἐλάττονα κύκλον ἀναγκαῖον ἀπολείπεσθαι, ἕως ἂν ἐπὶ τὸ μέσον ἔλθῃ.
So it is necessary for them to be left behind into the smaller circle, until they come to the center.
Ὄσων δἐπρότερον κρατεῖ ἡ φορά, λήγουσα ταὐτὸ ποιήσει.
And in the case of those things which the motion previously controlled, when it ceases it will do the same thing.
Δεῖ γὰρ τὸν μὲν εὐθύ, τὸν δὲ ἕτερον κρατεῖν τῇταχυτῆτι τοῦ βάρους, ὥστε εἰς τὸν ἐντὸς ἀεὶ κύκλον ὑπολείπεσθαι πᾶν.
For one must immediately, and the other later, prevail by the speed of the weight, so that everything always falls behind into the inner circle.
Ἀνάγκη γὰρ αὐτὸ ἐντὸς ἢ ἐκτὸς κινεῖσθαι τὸ μὴ κρατούμενον.
For that which is not controlled must move either inwards or outwards.
§35.5Ἐν αὐτῷδὴτοίνυν ἐν ᾦ ἐστίν, ἀδύνατον φέρεσθαι τὸ μὴ κρατούμενον.
Now indeed, it is impossible for that which is not controlled to be carried in the very circle in which it is.
Ἕτι δὲ ἦττον ἐν τῷ ἐκτός· θάττων γὰρ ἡ φορὰ τοῦ ἐκτὸς κύκλου.
And still less in the one outside; for the motion of the outside circle is faster.
Λείπεται δὲ εἰς τὸν ἐντὸς τὸ μὴ κρατούμενον μεθίστασθαι.
It remains, then, for that which is not controlled to shift into the inside one.
Ἀεὶ δὲ ἕκαστον ἐπιδίδωσιν εἰς τὸ μὴ κρατεῖσθαι, Ἐπεὶδὲ πέρας τοῦ μὴ κινεῖσθαι ποιεῖ τὸεἰς μέσον ἐλθεῖν, μένει δὲ τὸ κέντρον μόνον, ἅπαντα ἀνάγκη εἰς τοῦτο δὴ ἀθροίζεσθαι.
And each thing continually progresses toward not being controlled. And since coming to the center makes the limit of not being moved, and only the center remains stationary, everything must accumulate at this very point.