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. [Note: "What need of a certificate?"
a Spaceland critic may ask: "Is not the procreation of a Square Son
a certificate from Nature herself, proving the Equal-sidedness
of the Father?" I reply that no Lady of any position will marry
an uncertified Triangle. Square offspring has sometimes resulted
from a slightly Irregular Triangle; but in almost every such case
the Irregularity of the first generation is visited on the third;
which either fails to attain the Pentagonal rank, or relapses to
the Triangular.] Such a birth requires, as its antecedents,
not only a series of carefully arranged intermarriages,
but also a long, continued exercise of frugality and self-control
on the part of the would-be ancestors of the coming Equilateral,
and a patient, systematic, and continuous development
of the Isosceles intellect through many generations.
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