[991a]
upon the double. Thus the first analogy is of the double in point of number, passing from one to two in order of counting, and that which is according to power is double; that which passes to the solid and tangible is likewise again double, having proceeded from one to eight; but that of the double has a mean, as much more than the less as it is less than the greater, while its other mean1 exceeds and is exceeded by the same portion of the extremes themselves. Between six and
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1 As between 3 and 6, 4 is greater than 3 by 1/3 of 3, and less than 6 by 1/3 of 6.
Plato. Plato in Twelve Volumes, Vol. 9 translated by W.R.M. Lamb. Cambridge, MA, Harvard University Press; London, William Heinemann Ltd. 1925.
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