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Abbott, Edwin Abbott, 1838-1926

"Flatland: a romance of many dimensions"

Without entering
into the details of the elaborate account I gave her,--an account,
I fear, not quite so consistent with truth as my Readers in Spaceland
might desire,--I must be content with saying that I succeeded
at last in persuading her to return quietly to her household duties
without eliciting from me any reference to the World of Three Dimensions.
This done, I immediately sent for my Grandson; for, to confess the truth,
I felt that all that I had seen and heard was in some strange way slipping
away from me, like the image of a half-grasped, tantalizing dream,
and I longed to essay my skill in making a first disciple.
When my Grandson entered the room I carefully secured the door.
Then, sitting down by his side and taking our mathematical tablets,--
or, as you would call them, Lines--I told him we would resume
the lesson of yesterday. I taught him once more how a Point by motion
in One Dimension produces a Line, and how a straight Line in Two
Dimensions produces a Square. After this, forcing a laugh, I said,
"And now, you scamp, you wanted to make believe that a Square may in
the same way by motion `Upward, not Northward' produce another figure,
a sort of extra square in Three Dimensions.


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