CodalSearch this book — or all of Codal…⌘K
nydus/The Republic of PlatoPublic
Page 604 of 792
Table of Contents

BOOK IX.

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.

expressed under the symbol of a cube corresponding to the number 729. 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.

Yes; the arithmetician will easily do the sum.

Or if

604