We've got the trooper mounted now. After some further explanation the Instructor forms them into a column of files by the commands: "By file, by the right (or left) flank. March!" They are now going around the hall at a walk, a slow, snail-like pace, but what figures some of them present! Still all goes on quite well. The Instructor is speaking: "To trot," says he, "raise the hands" ("yearlings" use both hands) "slightly. This is to apprise the horse that you want his attention. Then lower the hands slightly, and at the same time gently press the horse with the legs until he takes the gait desired. As soon as he does, relax the pressure." A long pause. The occupants of the galleries are looking anxiously on. They know what is coming next. They have seen these drills over and over again. And so each trooper awaits anxiously the next command. Alas! It comes! "Trot!" What peals of laughter from that cruel gallery! But why? Ah! See there that trooper struggling in the tan bark while a soldier pursues his steed. He is not hurt. He gets up, brushes away the tan bark, remounts and starts off again. But there, he's off again! He's continually falling off or jumping off purposely (?). What confusion! There comes one at a full gallop, sticking on as best he can; but there, the poor fellow is off. The horses are running away. The troopers are dropping off everywhere in the hall. No one is hurt. Alas! they pressed too hard to keep on, and instead of relaxing the pressure at the desired gait, the trot, they kept on pressing, the horse taking the trot, the gallop, the run, and the trooper, alas! the dust. Again they had the reins too long, and instead of holding on by the flat of the thighs with their feet parallel to the horse, we see them making all sorts of angles. But that gallery! that gallery! how I used to wish it wasn't there! The very sight of a lady under such circumstances is most embarrassing. Fair ones, why will you thus torture the "yearlings" by your at other times so desirable presence? The fourth class have pure mathematics, and algebra, daily from 8 to 11 A.M., and French also, daily, from 2 to 4 P.M. Beginning on October 15th, or as near that time as practicable, they have fencing, and the use of the bayonet and small-sword. During the month of September cadets of all classes, or the battalion, are instructed in the infantry tactics in the "School of the Battalion." Near the end of the month it is customary to excuse the officers of the first class from these drills, and to detail privates to perform their duties for one drill only at a time. The other classes are in ranks, or the line of file-closers, according as they are sergeants, guides, or privates.