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[587d] if we assume the identity of the aristocrat and the king.1” “Yes, the third.” “Three times three, then, by numerical measure is the interval that separates the tyrant from true pleasure.” “Apparently.” “The phantom2 of the tyrant's pleasure is then by longitudinal mensuration a plane number.” “Quite so.” “But by squaring and cubing it is clear what the interval of this separation becomes.” “It is clear,” he said, “to a reckoner.” “Then taking it the other way about,

1 Cf. Vol. I. p. 422, note b, on 445 D and Menex. 238 D.

2 Cf. Phaedo 66 Cεἰδώλων, where Olympiodorus (Norvin, p. 36) takes it of the unreality of the lower pleasures.

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