William Duane, A military dictionary
“ The perfect square, in the formation of troops, seems best calculated for military movements and arrangements. Battalions, for instance, which are composed of eight companies, with one hundred rank and file in each, are equal to every species of disposition. It is upon this principle, we presume, that the French have distributed their infantry. British regiments, on the contrary, consist of eight companies, one of which is grenadiers and the other of light infantry, and are so composed that no square of this kind can be formed. ”
