The use of these exercises is to confirm (while riding upon both snaffle and curb reins) the steadiness of hand and seat and true balance of the rider, because, although these may appear good enough while a lady is riding her horse on a straight line, or only with the turns at the corners of the school, many shortcomings will be detected when she attempts to turn him square from the boards, or asks him to make a true circle, in which the hind legs follow exactly over the same track as the fore legs. To commence this lesson in proper form, the pupil should collect her horse, by reining him quietly back, then move him forward well up to the hand, at a walk and at a smart active pace. When she arrives at the centre marker at the end of the school, the master should give the word "down the centre," when the rider should turn her horse square to the right (assuming, as is usually the case, that she commences her lesson to that hand). The aids for turning at a walk having been already given, it is only necessary to say that the turn down the centre requires only a trifle stronger application of the left leg, to counteract any tendency of the horse to throw his haunches outwards, and that, looking steadily to the centre marker at the other end of the school, the pupil should sight that marker well between her horse's ears, and ride true and straight to it, taking care, by closing the leg in time, that the horse does not cut off any of the ground, but plants his near fore foot close to the boards and makes the corner equally square, because whenever a horse is allowed to "cut the corners off" he endeavours to get behind the bridle, and generally succeeds. The pupil, therefore, should be cautioned in time by the instructor, and if she fails to make good every inch of ground, the word "halt" should be given and the horse reined back. Arrived about midway down the school, the turns to the right should be made square from the boards, the horse's haunches kept under him so that he does not hit the side of the school with his hind feet. His doing which is at once a proof that he is out of hand. Arrived at the centre of the school, the words "right turn" should be given again, instead of allowing the pupil to ride right across the school to the boards on the opposite side. She should then ride a couple of lengths down the centre, and again turn her horse, by word from the master, square to the right, and once more to the left, when arrived at the boards. This, repeated two or three times, is a good preparation for executing the circle; in order to facilitate the correct riding of which, the master should cause his pupil to halt her horse at the side, and himself walk over the ground he desires her to ride over. If he does this correctly, the pupil will find little difficulty in riding the circle with precision.