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nt on the communications of the enemy, he would be obliged himself to make a detachment even larger than ours, in order to keep clear his line of retreat. The detachment made by the enemy, the object of the demonstration is obtained. The figures will explain more fully what has been said :-- If a b, Fig. 16, is the enemy's line of battle, if our main attack is directed against the center by the corps m, we might oppose the two wings only by small bodies, n and o, as explained under Number Four. In the mean time n and o are driven back to n′ and o′ by the two wings of the Fig. 16. enemy; we have been victorious in the center, have advanced to m′, and force by this both wings to retreat. In this figure we distinguish three actions — the main attack in the center, and the keeping of the wings in their positions by n and o, and at the same time the preventing of the enemy to attain his object. Fig. 17. Or, if a b is the enemy's line of battle, Fig. 17, we may dispose