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Abbott, Edwin Abbott, 1838-1926

"Flatland: a romance of many dimensions"

Thus the son of a Square is a Pentagon;
the son of a Pentagon, a Hexagon; and so on.
But this rule applies not always to the Tradesman,
and still less often to the Soldiers, and to the Workmen;
who indeed can hardly be said to deserve the name of human Figures,
since they have not all their sides equal. With them therefore
the Law of Nature does not hold; and the son of an Isosceles
(i.e. a Triangle with two sides equal) remains Isosceles still.
Nevertheless, all hope is not such out, even from the Isosceles,
that his posterity may ultimately rise above his degraded condition.
For, after a long series of military successes, or diligent
and skillful labours, it is generally found that the more
intelligent among the Artisan and Soldier classes manifest
a slight increase of their third side or base, and a shrinkage
of the two other sides. Intermarriages (arranged by the Priests)
between the sons and daughters of these more intellectual
members of the lower classes generally result in an offspring
approximating still more to the type of the Equal-Sided Triangle.
Rarely--in proportion to the vast numbers of Isosceles births--
is a genuine and certifiable Equal-Sided Triangle produced from
Isosceles parents (footnote 1).


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