Let me say rather, it WOULD be difficult:
for, as I have shown above, Recognition by Feeling is unknown
among the highest society, and to FEEL a Circle would be considered
a most audacious insult. This habit of abstention from Feeling
in the best society enables a Circle the more easily to sustain
the veil of mystery in which, from his earliest years, he is wont
to enwrap the exact nature of his Perimeter or Circumference.
Three feet being the average Perimeter it follows that,
in a Polygon of three hundred sides each side will be no more than
the hundredth part of a foot in length, or little more than the tenth
part of an inch; and in a Polygon of six or seven hundred sides
the sides are little larger than the diameter of a Spaceland pin-head.
It is always assumed, by courtesy, that the Chief Circle
for the time being has ten thousand sides.
The ascent of the posterity of the Circles in the social scale
is not restricted, as it is among the lower Regular classes,
by the Law of Nature which limits the increase of sides to one
in each generation. If it were so, the number of sides in a Circle
would be a mere question of pedigree and arithmetic,
and the four hundred and ninety-seventh descendant of
an Equilateral Triangle would necessarily be a Polygon with
five hundred sides.
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