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The question is debated in the Politics, III. 2. Compare also the

distinction between the brave man, and good soldier (supra, Book

III. chap. xii.), and also Bishop Butler's first Sermon.

[9] Terms used for persons.

[10] By [Greek:--] is meant numbers themselves, 4, 20, 50, etc,

by [Greek:--] these numbers exemplified, 4 horses, 20 sheep, etc.

[11] 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.

[12] i.e. where the ratio is that of equality, thus 2 : 2 :: 40 :

40

[13] Her Majesty's "Justices."