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The philosophical and mathematical commentaries of Proclus on the first book of Euclid's elements (Vol. 2 of 2)

Note 134 — CONCERNING PROVIDENCE.

Thomas Taylor translation

This must be understood of immediate participation; and on this hypothesis, it is certainly true, that neither two or more unities are participated by one being. For since there is an order among the unities, and some are more universal than others, two cannot be immediately participated by one being, without an alteration taking place in the subsistence of each. This is evident from the cxxxii. Proposition, in which it is proved that all the orders of the gods are bound in union by a medium: and consequently since all the unions are connected by proper mediums, it is impossible that any two can be immediately participated.

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