The Republic by Plato Part 9 Page 57

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.