Even Massenbach, in his manifold critical observations on the Prussian campaigns of 1793-94 in the Vosges, talks a great deal about hills and valleys, roads and footpaths, but does not say a syllable about mutual strength.
Another proof lies in a wonderful notion which haunted the heads of many critical historians, according to which there was a certain size of an Army which was the best, a normal strength, beyond which the forces in excess were burdensome rather than serviceable.(*)
(*) Tempelhof and Montalembert are the first we recollect as examples--the first in a passage of his first part, page 148; the other in his correspondence relative to the plan of operations of the Russians in 1759.
Lastly, there are a number of instances to be found, in which all the available forces were not really brought into the battle,(*) or into the War, because the superiority of numbers was not considered to have that importance which in the nature of things belongs to it.
(*) The Prussians at Jena, 1806. Wellington at Waterloo.
If we are thoroughly penetrated with the conviction that with a considerable superiority of numbers everything possible is to be effected, then it cannot fail that this clear conviction reacts on the preparations for the War, so as to make us appear in the field with as many troops as possible, and either to give us ourselves the superiority, or at least to guard against the enemy obtaining it. So much for what concerns the absolute force with which the War is to be conducted.
The measure of this absolute force is determined by the Government; and although with this determination the real action of War commences, and it forms an essential part of the Strategy of the War, still in most cases the General who is to command these forces in the War must regard their absolute strength as a given quantity, whether it be that he has had no voice in fixing it, or that circumstances prevented a sufficient expansion being given to it.
There remains nothing, therefore, where an absolute superiority is not attainable, but to produce a relative one at the decisive point, by making skilful use of what we have.
The calculation of space and time appears as the most essential thing to this end--and this has caused that subject to be regarded as one which embraces nearly the whole art of using military forces. Indeed, some have gone so far as to ascribe to great strategists and tacticians a mental organ peculiarly adapted to this point.