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BOY: Of eight feet.
SOCRATES: And now try and tell me the length of the line which forms the side of that double square: this is two feet—what will that be?
BOY: Clearly, Socrates, it will be double.
SOCRATES: Do you observe, Meno, that I am not teaching the boy anything, but only asking him questions; and now he fancies that he knows how long a line is necessary in order to produce a figure of eight square feet; does he not?
MENO: Yes.
SOCRATES: And does he really know?
MENO: Certainly not.
SOCRATES: He only guesses that because the square is double, the line is double.
MENO: True.
SOCRATES: Observe him while he recalls the steps in regular order. (To the Boy:) Tell me, boy, do you assert that a double space comes from a double line? Remember that I am not speaking of an oblong, but of a figure equal every way, and twice the size of this—that is to say of eight feet; and I want to know whether you still say that a double square comes from double line?
BOY: Yes.
SOCRATES: But does not this line become doubled if we add another such line here?