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This last diagram presents a united view of the floor, the four walls, and the parts that are occupied belonging to the ceiling. It is evident that a shorter mode might be adopted than the one already given for the division of them; By merely observing the manner in which the lines are drawn:[1] For the two parallel lines that mark the first division of the floor might be continued up the wall on the right hand of the learners, in their first position, then across the ceiling, and down the wall to their left hand, meeting the points from whence they commenced; which would divide the floor, two of the walls, and the cieling, into three parts; then shifting their position, by leaning their backs against the wall that was to their right or to their left hand; and drawing two transverse parallel lines on the floor, and continuing them up the wall to their right hand across the ceiling, down the wall to their left, they likewise meet the parts they proceeded from. Thus, the floor and cieling will each be divided into nine parts, but the four walls, will as yet have but three divisions on each, produced by the two perpendicular lines that have been already formed; but as the number of places on the walls, must agree with those on the floor, they can effect them, by drawing two horizontal and parallel lines upon one wall, equi-distant from the ceiling and floor. which they must continue round the other three: the termination of the horizontal lines, on the fourth wall, meeting the beginnings of the first. By this mode of dividing, there will be fifty-four places, nine on each wall, floor, and ceiling: to reduce them to fifty, they have only to reject the corner parts of the ceiling, leaving five as before arranged.
- ↑ The reader is cautioned not to confound the lines that are supposed to be drawn on the floor and walls, with those which in the diagram, mark their extremities; the single lines alone to be observed.