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14 - How in my Vision I endeavoured to explain the nature of Flatland, but could not

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

Thinking that it was time to bring down the Monarch from his raptures to the level of common sense, I determined to endeavour to open up to him some glimpses of the truth, that is to say of the nature of things in Flatland. So I began thus: “How does your Royal Highness distinguish the shapes and positions of his subjects? I formy part noticed by the sense of sight, before I entered your Kingdom, that some of your people are Lines and others Points, and that some of the Lines are larger—” “You speak of an impossibility,” interrupted the King; “you must have seen a vision; for to detect the difference between a Line and a Point by the sense of sight is, as every one knows, in the nature of things, impossible; but it can be detected by the sense of hearing, and by the same means my shape can be exactly ascertained. Behold me – I am a Line, the longest in Lineland, over six inches of Space – “Of Length,” I ventured to suggest. “Fool,” said he, “Space is Length. Interrupt me again, and I have done.”

I apologised; but he continued scornfully, “Since you are impervious to argument, you shall hear with your ears how by means of my two voices I reveal my shape to my Wives, who are at this moment six thousand miles seventy yards two feet eight inches away, the one to the North, the other to the South. Listen, I call to them.”

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Chapter
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Flatland
An Edition with Notes and Commentary
, pp. 126 - 137
Publisher: Cambridge University Press
Print publication year: 2009

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