Читать книгу Plato: The Complete Works онлайн
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MENO: I will.
SOCRATES: Tell me, boy, do you know that a figure like this is a square?
BOY: I do.
SOCRATES: And you know that a square figure has these four lines equal?
BOY: Certainly.
SOCRATES: And these lines which I have drawn through the middle of the square are also equal?
BOY: Yes.
SOCRATES: A square may be of any size?
BOY: Certainly.
SOCRATES: And if one side of the figure be of two feet, and the other side be of two feet, how much will the whole be? Let me explain: if in one direction the space was of two feet, and in the other direction of one foot, the whole would be of two feet taken once?
BOY: Yes.
SOCRATES: But since this side is also of two feet, there are twice two feet?
BOY: There are.
SOCRATES: Then the square is of twice two feet?
BOY: Yes.
SOCRATES: And how many are twice two feet? count and tell me.
BOY: Four, Socrates.
SOCRATES: And might there not be another square twice as large as this, and having like this the lines equal?
BOY: Yes.
SOCRATES: And of how many feet will that be?