Men. I think not, Socrates.

Soc. Then he was the better for the torpedo's touch?

Men. I think so.

Soc. Mark now the farther development. I shall only ask

him, and not teach him, and he shall share the enquiry with The boy me : and do you watch and see if you find me telling or another^' explaining anything to him, instead of eliciting his opinion, true con- Tell me, boy, is not this a square of four feet which I have '='"^'°" • drawn ? Boy. Yes. Soc. And now I add another square equal to the former one? Boy. Yes. Soc. And a third, which is equal to either of them ? Boy. Yes. Soc. Suppose that we fill up the vacant corner ? Boy. Very good. Soc. Here, then, there are four equal spaces ? Boy. Yes.

which is, that the square of the diagonal is double the square of the side. Soc. And how many times larger is this space than this which is, other?

Boy. Four times.

Soc. But it ought to have been twice only, as you will 5°"k]!^,u remember. square of

Boy. True. t"^'^- Soc. And does not this line, reaching from corner to corner, ⁸⁵ bisect each of these spaces ? Boy. Yes. Soc. And are there not here four equal lines which contain this space ? Boy. There are. Soc. Look and see how much this space is. Boy. I do not understand. Soc. Has not each interior line cut off half of the four spaces ? Boy. Yes. Soc. And how many such spaces are there in this section ? Boy. Four. Soc. And how many in this ?