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There appear to be three pleasures, one genuine and two spurious: now the transgression of the tyrant reaches a point beyond the spurious; he has run away from the region of law and reason, and taken up his abode with certain slave pleasures which are his satellites, and the measure of his inferiority can only be expressed in a figure.

How do you mean?

I assume, I said, that the tyrant is in the third place from the oligarch; the democrat was in the middle?

Yes.

And if there is truth in what has preceded, he will be wedded to an image of pleasure which is thrice removed as to truth from the pleasure of the oligarch?

He will.

And the oligarch is third from the royal; since we count as one royal and aristocratical?

Yes, he is third.

Then the tyrant is removed from true pleasure by the space of a number which is three times three?

Manifestly.

The shadow then of tyrannical pleasure determined by the number of length will be a plane figure.

Certainly.

And if you raise the power and make the plane a solid, there is no difficulty in seeing how vast is the interval by which the tyrant is parted from the king.

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