Page:The ethics of Aristotle.djvu/138

 recourse to the judge: going to the judge is in fact going to the Just, for the judge is meant to be the personification of the Just. And men seek a judge as one in the mean, which is expressed in a name given by some to judges (, or middle-men) under the notion that if they can hit on the mean they shall hit on the Just. The Just is then surely a mean since the judge is also.

So it is the office of a judge to make things equal, and the line, as it were, having been unequally divided, he takes from the greater part that by which it exceeds the half, and adds this on to the less. And when the whole is divided into two exactly equal portions then men say they have their own, when they have gotten the equal; and the equal is a mean between the greater and the less according to arithmetical equality.

This, by the way, accounts for the etymology of the term by which we in Greek express the ideas of Just and Judge; (' quasi ', that is in two parts, and ' quasi ', he who divides into two parts). For when from one of two equal magnitudes somewhat has been taken and added to the other, this latter exceeds the former by twice that portion: if it had been merely taken from the former and not added to the latter, then the latter would have exceeded the former only by that one portion; but in the other case, the greater exceeds the mean by one, and the mean exceeds also by one that magnitude from which the portion was taken. By this illustration, then, we obtain a rule to determine what one ought to take from him who has the greater, and what to add to him who has the less. The excess of the mean over the less must be added to the less, and the excess of the greater over the mean be taken from the greater.

Thus let there be three straight lines equal to one another. From one of them cut off a portion, and add as much to another of them. The whole line thus made will exceed the remainder of the first-named line, by twice the portion added,