Sextus Empiricus Pyrrhoniae Hypotyposes 3.20.155

ed. Hermann Mutschmann

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[155] καὶ οὕτω τά τε σώματα καὶ ὅλον τὸν κόσμον ἐνειδωλοποιοῦσιν, ὅντινα καὶ διοικεῖσθαί φασι κατὰ ἁρμονικοὺς λόγους, τόν τε διὰ τεσσάρων, ὅς ἐστιν ἐπίτριτος, ὡς ἔχει
πρὸς τὰ ἕξ τὰ ὀκτώ, καὶ τὸν διὰ πέντε, ὅς ἐστιν ἡμιόλιος, ὧς ἔχει πρὸς τὰ ἕξ τὰ ἐννέα, καὶ τὸν διὰ πασῶν, ὅς ἐστι διπλάσιος, ὧς ἔχει πρὸς τὰ ἕξ τὰ δώδεκα.

Pyrrhoniae Hypotyposes. Sextus Empiricus. ed. Hermann Mutschmann. Germany. 2014.

Current edition First1KGreek

Pyrrhoniae Hypotyposes (Greek) (Sextus Empiricus. Sexti Empiricii Opera, Volume 1. Mutschmann, Hermann, editor. Leipzig: Teubner, 1912.)

Translations (1)

Outlines of Pyrrhonism First1KGreek (Sextus Empiricus, Vol. 1. Bury, Robert Gregg, translator. London: William Heinemann Ltd.; New York: G. P. Putnam's Sons, 1933.) — 3.20.155 focus

[155] It is in this way that they image forth both the bodies and the whole Universe, which also they declare to be arranged according to harmonic ratios¹—namely, that of the ‟By-Fours,” which is ‟epitrite,” as is the ratio of 8 to 6; and that of the “ By-Fives,” which is one and a half times, as is the ratio of 9 to 6; and that of the ‟By-Alls,” which is double, as is the ratio of 12 to 6.

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