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nydus/The Republic of PlatoPublic
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2

Probably the numbers 3, 4, 5, 6 of which the three first = the sides of the Pythagorean triangle. The terms will then be 33, 43, 53, which together = 63 = 216.

3

Or the first a square which is 100 × 100 = 10,000. The whole number will then be 17,500 = a square of 100, and an oblong of 100 by 75.

4

Reading προμήκη δέ.

5

Or, ‘consisting of two numbers squared upon irrational diameters,’ &c. = 100. For other explanations of the passage see Introduction.

6

Cp. supra, 544 C.

7

Omitting ἤ τινος.

8

Reading καὶ ἐτίμα μάλιστα. Εὖ, ἦ δ’ ἐγώ, according to Schneider’s excellent emendation.

9

Omitting τί μήν; ἔφη.

10

Or, ‘the philosophical temper of the condemned.’

11

Herod. i. 55.

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