(related to Problem: A Question of Definition)

There is, of course, no difference in area between a mile square and a square mile. But there may be a considerable difference in shape. A mile square can be no other shape than square; the expression describes a surface of a certain specific size and shape. A square mile may be of any shape; the expression names a unit of area but does not prescribe any particular shape.

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Project Gutenberg

  1. Dudeney, H. E.: "Amusements in Mathematics", The Authors' Club, 1917

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