Plato, Meno, section 85a

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[85a] cut in two each of these spaces?

Boy
Yes.

Socrates
And have we here four equal lines¹ containing this space²?

Boy
We have.

Socrates
Now consider how large this space³ is.

Boy
I do not understand.

Socrates
Has not each of the inside lines cut off half of each of these four spaces?

Boy
Yes.

Socrates
And how many spaces of that size are there in this part?

Boy
Four.

Socrates
And how many in this⁴?

Boy
Two.

Socrates
And four is how many times two?

Boy
Twice.

1 BD, DF, FH, HB.

2 BDFH.

3 BDFH.

4 ABCD.

Plato. Plato in Twelve Volumes, Vol. 3 translated by W.R.M. Lamb. Cambridge, MA, Harvard University Press; London, William Heinemann Ltd. 1967.

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