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the transposition-frame, or arithmeticon, as it has been called. To these may added little books, &c. The particular use of these articles will be shewn in the succeeding pages. The following is a representation of a lesson-post. The _lessons_, pasted on wood, to render them sufficiently stiff, are put into the grooves of the lesson-post; and can then be placed in any position which is most convenient, and adjusted to any height, as the master may see proper. [Illustration: _a b_, is a slip of wood with a groove in it, fixed to the post by means of the screws _c_ and _d_, on which slip are two blocks _e_ and _f_; the bottom one, _f_, is fixed with a groove in the upper side, for the lower edge of the board _g h_ to rest in; the upper block, _e_, has a groove in the lower side, for the upper edge of the board _g h_ to rest in, and rises and falls according to the width of the board on the slip _a b_.--Instead of being made with feet, the lesson post is generally, and perhaps better, fixed into the floor of the school-room, and should be very slight, and 4 feet 4 inches in height.] The following lesson-post has been found to answer better than the preceding one; and is fixed in a socket, which prevents the necessity of the cross-bar feet at bottom, and possesses this advantage, that it may be taken out when done with, and hung up by the side of the wall, so as to allow the area of the room to be quite clear of any incumbrance, and to be used for any other purpose. No. 2, is the socket which should be let into the floor and screwed fast to the side of a joist, so as to keep it perfectly steady; the socket is to be open at bottom so as to let the dust pass through: and No. 1, is a plate, to fit over the socket, to come flush with the floor, to be put over it when the lesson-post is taken out, to prevent too much dust from getting into the socket. The little nich represented in plate one, is too small for the pupils to get their fingers into, so as to pull up the plate, but wide enough to allow the teacher to put a very narrow key in, when he desires to pull up the plate to put the lesson-post in the socket. No. 3, is a front view of the lesson-post, containing the slides nipping the lessons between them; the other figure represents a side view of the lesson post, and the small figure at the left hand side represents the groove of the two sliders to receive the lesson, and the back part of it the dovetails to clip,
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