The French Government are making great efforts to improve their military system, in imparting to every soldier as much information relative to his weapons and the best method of using them, as is compatible with his limited education. Their institution of a normal-school for the instruction of the whole army in all that relates to guns, shooting, and natural “trigonometry,” is proof of this. A detachment from every infantry regiment in the service arrives at “Vincennes” early in the spring, and the men undergo a complete course of instruction during the whole of the summer and autumn months, or until by ability they acquire all that is to be taught. The first and a very essential part of the duty is to teach them to judge of distance; for this purpose a soldier takes a target, and runs straight ahead as far as he pleases. Having planted it, each man is called upon to judge the distance, which is recorded in a report of the day. This exercise is carried on to a great extent, until each becomes well able to judge correctly; then commences the instruction in shooting, each soldier using an elevation according to the distance he calculates he is from the target; and this is practised at all distances, from 500 to 1,000 paces. The greatest degree of perfection attained by the instructed is rewarded, by promotion or otherwise; and such skill in shooting is displayed by these various detachments as would truly astonish our military officers. The accomplishment of a school of instruction for teachers of rifle shooting to the British army is now an established fact; the results, most flattering to the projectors, more than verifying their anticipations. The degree of perfection attained by some before leaving Hythe is so extraordinary, that I will leave the reality to be imagined or witnessed; and it will well repay the journey. The standing order lately issued, awarding substantial benefits to the adept in shooting, is sure to bear its fruits, and is only the first step to many others of no less importance. Double rifled carbines can be constructed of so light a weight that their exclusive use for cavalry purposes is not far distant, 5-1/2 pounds being sufficient weight to ensure perfect safety. A carbine of this description, from 18 to 20 inches in the barrel, could give a practical range of from 600 to 700 yards, with an extreme range of 1,000 to 1,100. A cavalry soldier armed with two of these would be equal to four of the present day, for they would be no greater encumbrance than the late carbine used by the Guards, which approaches 10 lbs. in weight; and a pair of double carbines could easily be carried at the saddle bow, their length being no obstacle.