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 assumption, generates for us different monads; but the conjoined assumption, duads, and triads, some indeed being vanquished by the one, others by difference, and others by being. And thus far the first deity presents itself to the view, being prolific of the first numbers; according to the one indeed, of unical numbers, but according to difference of generative, and according to being, of essential numbers.

Since however, from this deity which is intelligible, that which is posterior to it proceeds, it is evidently necessary that the monad, duad, and triad, should severally have prolific power. These powers therefore, Parmenides calls once, twice, thrice. For each of these is a power which is the cause of the above-mentioned essences that produce either separately, or connectedly. For there with respect to the generations of them, some of them are entirely peculiar, but others are common to secondary natures. The progeny therefore of these are, the oddly-odd, the evenly-even and the evenly-odd. And of these, the oddly-odd, indeed, as we have before observed, is collective into union of the divine progressions. But the evenly-even is generative of wholes, and proceeds as far as to the last of things. The evenly-odd however, is mixed, having its subsistence from both the even and the odd. Hence we must establish the first as analogous to bound, but the second as analogous to power, and the third as analogous to being. And you may see, how indeed in the first order all things had a primary subsistence, viz. monad, duad, triad; but how in this order, all things are secondarily and subordinately. And the mixture which is the triad, subsisted there indeed in one way, but here the evenly-odd subsists in another way. For there the extremes were odd, because they were intelligible; but here the even is more abundant, and the intelligible summit only is odd. For the middle of the triad is analogous to power. And there indeed, is the monad, which has all the forms of odd numbers according to cause, and the duad is there, which is occultly all the forms of even numbers, and also the triad, which is number primarily. But here both the odd and the even number now subsist in a twofold respect, in one place in