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21 - How I tried to teach the Theory of Three Dimensions to my Grandson, and with what success

Published online by Cambridge University Press:  05 August 2013

William F. Lindgren
Affiliation:
Slippery Rock University of Pennsylvania
Thomas F. Banchoff
Affiliation:
Brown University, Rhode Island
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Summary

I awoke rejoicing, and began to reflect on the glorious career before me. I would go forth, me thought, at once, and evangelize the whole of Flatland. Even to Women and Soldiers should the Gospel of Three Dimensions be proclaimed. I would begin with my Wife.

Just as I had decided on the plan of my operations, I heard the sound of many voices in the street commanding silence. Then followed a louder voice. It was a herald's proclamation. Listening attentively, I recognized the words of the Resolution of the Council, enjoining the arrest, imprisonment, or execution of any one who should pervert the minds of the people by delusions, and by professing to have received revelations from another World.

I reflected. This danger was not to be trifled with. It would be better to avoid it by omitting all mention of my Revelation, and by proceeding on the path of Demonstration – which after all, seemed so simple and so conclusive that nothing would be lost by discarding the former means. “Upward, not Northward” – was the clue to the whole proof. It had seemed to me fairly clear before I fell asleep; and when I first awoke, fresh from my dream, it had appeared as patent as Arithmetic; but somehow it did not seem to me quite so obvious now. Though my Wife entered the room opportunely just at that moment, I decided, after we had interchanged a few words of commonplace conversation, not to begin with her.

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Chapter
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Flatland
An Edition with Notes and Commentary
, pp. 204 - 209
Publisher: Cambridge University Press
Print publication year: 2009

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