towards him, if so be that his line of operations, which closely depends on geographical conditions, cannot be arbitrarily changed, and moved, for instance, to the direction a d . From this it would seem to follow that the defender has an advantage in this system of reciprocal action, because he only requires to take a position on this side of the intersection of the two lines. But very far from attaching any importance to this geometrical element, we only brought it into consideration to make ourselves the better understood; and we are rather of opinion that local and generally individual relations have much more to do with determining the position of the defender; that, therefore, it is quite impossible to lay down in general which of two belligerents will be obliged soonest to expose his communications.
If the lines of communication of both sides lie in one and the same direction, then whichever of the two parties takes up an oblique position will certainly compel his adversary to do the same. But then there is nothing gained geometrically by this, and both parties attain the same advantages and disadvantages.
In the continuation of our considerations we shall, therefore, confine ourselves to the case of the line of communication of one side only being exposed.
Now as regards the second disadvantageous relation of a line of communication, that is to say, when it runs through an enemy’s country, it is clear in itself how much the line is compromised by that circumstance, if the inhabitants of the country have taken up arms; and consequently the case must be looked at as if a body of the enemy was posted all along the line; this body, it is true, is in itself weak without solidity or intensive force; but we must also take into consideration what the close contact and influence of such a hostile force may nevertheless effect through the number of points which offer themselves one after another on long lines of communication. That requires no further