male population, cavalry on the number of horses, artillery on available financial means—introduces into the calculation some heterogeneous conditions, the overruling influence of which may be plainly observed in the great outlines of the history of different people at various periods.
As, however, for other reasons we cannot altogether dispense with some standard of comparison, therefore, in place of the whole of the first term of the comparison we must take only that one of its factors which can be ascertained, namely, the cost in money. Now on this point it is sufficient for our purpose to assume that, in general, a squadron of 150 horsemen, a battalion of infantry 800 strong, a battery of artillery consisting of 8 six-pounders, cost nearly the same, both as respects the expense of formation and of maintenance.
With regard to the other member of the comparison, that is, how much service the one arm is capable of rendering as compared with the others, it is much less easy to find any distinct quantity. The thing might perhaps be possible if it depended merely