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The Nicomachean ethics of Aristotle

Note 11 — Chapter VI

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The profits of a mercantile transaction (say £1000) are to be divided between A and B, in the ratio of 2 to 3 (which is the real point to be settled); then, A : B :: 400 : 600. A : 400 :: B : 600 (permutando, and assuming a value for A and B, so as to make them commensurable with the respectiy sums). A+400 : B+600 :: A : B. This represents the actual distribution; its fairness depending entirely on that of the first proportion.

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