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in which case it is clear that, no matter how perfectly they might be armed, or how quickly and accurately they could fire, one man standing on the flank, or behind them, could kill one soldier after the other, until all the 1,000 were killed, and be in no danger himself. In case of attacking a ship or a column of ships from ahead, or of attacking a line of soldiers on the flank, the effectiveness of the method of attack lies in the fact that a number of the weapons that are present in the force attacked cannot be used in reply. [Illustration: Fig. 1] _Concentration and Isolation_.--The value of "concentration" is often insisted on, but the author desires to call attention to a misunderstanding on this point, to which he called attention in an essay in 1905. To the author, it seems that concentration is a means and not an end, and that the end is what he called "isolation" in the essay. If a man concentrates his mind on any subject, the advantage he gains is that he prevents other subjects from obstructing the application of his mental powers to that subject; he pushes to one side and isolates all other subjects. In this particular activity it does not matter whether we call his act "concentration" or "isolation" because the whole operation goes on inside of his own skull, and concentration on one subject automatically produces isolation or elimination of all others. But when concentration is attempted on external objects, the case is very different, for concentration may not produce isolation at all. For instance, if 4 ships in column _A_ concentrate their fire on the leading ship in column _B_, the other 3 ships in column _B_ are not isolated, and can fire on the ships of column _A_, even more effectively than if column _A_ was not concentrated on the leading ship of _B_, because they are undisturbed by being fired at. If, however, the 4 ships of _A_ "flank" or "T" the ships of column _B_, as shown in Fig. 2, and concentrate on the leader of B, they thereby isolate the other ships, and practically nullify their ability to fire at _A_. [Illustration: Fig. 2] This effect is approximated by an approximate "T-ing" or "flanking," such as is shown in Fig. 3; because the average distance from the ships of _A_ to the leading ship in _B_ is less than the average distance from the ships in _B_ to any ship in _A_; and because the direction of fire from each ship in _A_ is more nearly abeam than is the direction of
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