도서 · The Republic
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저자: Plato
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The base of the number with a fourth added (or which is 3:4),
multiplied by five and cubed, gives two harmonies:-the first a
square number, which is a hundred times the base (or a hundred
times a hundred); the second, an oblong, being a hundred squares
of the rational diameter of a figure the side of which is five,
subtracting one from each square or two perfect squares from all,
and adding a hundred cubes of three. This entire number is
geometrical and contains the rule or law of generation. When this
law is neglected marriages will be unpropitious; the inferior
offspring who are then born will in time become the rulers; the
State will decline, and education fall into decay; gymnastic will
be preferred to music, and the gold and silver and brass and iron
will form a chaotic mass-thus division will arise. Such is the
Muses' answer to our question.
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