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. Soc. But does not this line become doubled if we add another such line here? Boy. Certainly. Soc. And four such lines will make a space containing eight feet? Boy. Yes. Soc. Let us describe such a figure: Would you not say that this is the figure of eight feet? Boy. Yes. Soc. And are there not these four divisions in the figure, each of which is equal to the figure of four feet? Boy. True. Soc. And is not that four times four? Boy. Certainly. Soc. And four times is not double? Boy. No, indeed. Soc. But how much? Boy. Four times as much. Soc. Therefore the double line, boy, has given a space, not twice, but four times as much. Boy. True. Soc. Four times four are sixteen-are they not? Boy. Yes. Soc. What line would give you a space of right feet, as this gives one of sixteen feet;-do you see? Boy. Yes. Soc. And the space of four feet is made from this half line? Boy. Yes.
