If in a fire combat 1000 men are opposed to 500, then the gross loss is calculated from the amount of the enemy's force and our own; 1000 men fire twice as many shots as 500, but more shots will take effect on the 1000 than on the 500 because it is assumed that they stand in closer order than the other.

If we were to suppose the number of hits to be double, then the losses on each side would be equal.

From the 500 there would be for example 200 disabled, and out of the body of 1000 likewise the same; now if the 500 had kept another body of equal number quite out of fire, then both sides would have 800 effective men; but of these, on the one side there would be 500 men quite fresh, fully supplied with ammunition, and in their full vigour; on the other side only 800 all alike shaken in their order, in want of sufficient ammunition and weakened in physical force.

The assumption that the 1000 men merely on account of their greater number would lose twice as many as 500 would have lost in their place, is certainly not correct; therefore the greater loss which the side suffers that has placed the half of its force in reserve, must be regarded as a disadvantage in that original formation; further it must be admitted, that in the generality of cases the 1000 men would have the advantage at the first commencement of being able to drive their opponent out of his position and force him to a retrograde movement; now, whether these two advantages are a counterpoise to the disadvantage of finding ourselves with 800 men to a certain extent disorganised by the combat, opposed to an enemy who is not materially weaker in numbers and who has 500 quite fresh troops, is one that cannot be decided by pursuing an analysis further, we must here rely upon experience, and there will scarcely be an officer experienced in War who will not in the generality of cases assign the advantage to that side which has the fresh troops.
In this way it becomes evident how the employment of too many forces in combat may be disadvantageous; for whatever advantages the superiority may give in the first moment, we may have to pay dearly for in the next.
But this danger only endures as long as the disorder, the state of confusion and weakness lasts, in a word, up to the crisis which every combat brings with it even for the conqueror.

Within the duration of this relaxed state of exhaustion, the appearance of a proportionate number of fresh troops is decisive.
But when this disordering effect of victory stops, and therefore only the moral superiority remains which every victory gives, then it is no longer possible for fresh troops to restore the combat, they would only be carried along in the general movement; a beaten Army cannot be brought back to victory a day after by means of a strong reserve.