Philo Judaeus, De Opificio Mundi, ed. Leopold Cohn, 109

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[109] ἁρμονικῆς δ’ ἀναλογίας διττὴ κρίσις· μία μέν, ὅταν ὃν λόγον ἔχει ὁ ἔσχατος πρὸς τὸν πρῶτον τοῦτον ἔχῃ ἡ ὑπεροχὴ
¹ ᾗ ὑπερέχει ὁ ἔσχατος τοῦ μέσου πρὸς τὴν ὑπεροχὴν ᾗ ὑπερέχεται ὑπὸ τοῦ μέσου ὁ πρῶτος. ἐναργεστάτην δὲ πίστιν λάβοι τις ἂν ἐκ τῶν προκειμένων ἀριθμῶν, τοῦ ἓξ καὶ ὀκτὼ καὶ δώδεκα· ὁ μὲν γὰρ τελευταῖος τοῦ πρώτου διπλάσιος, ἡ δ’ ὑπεροχὴ πάλιν διπλασία· τὰ μὲν γὰρ δώδεκα
τῶν ὀκτὼ τέτταρσιν ὑπερέχει, τὰ δὲ ὀκτὼ τῶν ἓξ δυσί· τὰ δὲ τέσσαρα τῶν δυοῖν διπλάσια. ἑτέρα δὲ βάσανος τῆς ἁρμονικῆς

De Opificio Mundi. Philo Judaeus. ed. Leopold Cohn. Germany. 2014.

Funding provided by European Social Fund Saxony.

Current edition First1KGreek

De Opificio Mundi (Greek) (Philo Judaeus. Opera que supersunt, Volume 1. Cohn, Leonard, editor. Berlin: Reimer, 1896.)

Translations (1)

On the Creation of the World First1KGreek (The works of Philo Judaeus, the contemporary of Josephus, volume 1. Yonge, C. D., translator. London: Henry G. Bohn, 1854.) — 109 focus

[109] But there are two ways of judging of harmonic proportion. One when, whatever ratio the last number bears to the first, the excess by which the last number exceeds the middle one is the same as the excess by which the middle number exceeds the first. And any one may derive a most evident proof of this from the numbers before mentioned, six, and eight, and twelve: for the last number is double the first. And again, the excess of twelve over eight is double the excess of eight over six. For the number twelve exceeds eight by four, and eight exceeds six by two; and four is the double of two.

Notes on the current edition

De opificio mundi

1.
2 τεσσάρων M τὸν] τὸ P διπλασιάζει ABPG
4 καὶ om. M
5 τέτταρα add. Wendle.
6 τοῖς ἑξήκοντα MF2, ἑξήκοντα (om. τοῖς) G: τοῖς ἑπτὰ F1HP2, τὰ τρία ABP1 7.
8 καταγγέλλοντα] ἀποτελοῦσιν ἑπτὰ M
8 πρὸς τριάδα M: τριάδος ceteri
10 δὲ om. ABP1
11 δ’ M οὐ μόνον τελεσφόρος M
12 ὃ MF2: ἣ ABPF1GL2, ἢ HL1
13 τεσσάρων Β
16 ἕκτου ἐνάτου δωδεκάτου G ὁ μὲν οὑν MF
17 καθ’ ὃν scripsi: καθ’ ἢν codd. τεσσάρων MB ἓξ] ς΄ MABP, τὰ ς΄ F
18 καθ’ ἣν codd. 18.
19 καθ’ ἣν codd.
19 ἡ] ὁ ABP διὰ πασῶν ς΄ M ἔχει] εἰ M ἁπάσας Η
20 ἐκ τῶν] ἐν ταῖς ABP οἷς M: ὡς ceteri περιέχει M
21 τούτοις ὑπερέχεται Μ: τούτοις om. ceteri γεωμετρικὴ P
22 ἐκ τῶν τεσσάρων Markland (Mang.): ἡ τῶν διὰ τεσσάρων codd. πρὸς ἐξ M: πρὸς τὰ ἓξ ceteri
23 πρὸς τὰ ἐννέα ABPL, πρὸς τὸν ἐννέα v δ’ M 23.
24 τοῦ πρὸς ἓξ M
24 μίαν Β
25 ὁ ἔσχατος τοῦ μέσου MABPH, τοῦ μέσου eras in FG, omisi Gelenium secutus τοῦτον] τὸν αὐτὸν Β ἔχη F: ἔχει ceteri ἡ ὑπεροχὴ om. ABP

Philo Judaeus De Opificio Mundi 109

ed. Leopold Cohn

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