. Stereotomy : Problems in stone cutting. In four classes. I. Plane-sided structures. II. Structures containing developable surfaces. III. Structrues containing warped surfaces. IV. Structures containing double-curved surfaces. For students of engineering and architecture . he horizontal semicircle, CFD — CD, and the vertical one,CD — CED. The joints of the spherical part are circular,and in planes which radiate from the diameter, OF — O —0F ; and are limited by the cylindrical stone, 0L/P. Intermediate points of these joints, as N, are readily foundon the plan and side elevation, in various w


. Stereotomy : Problems in stone cutting. In four classes. I. Plane-sided structures. II. Structures containing developable surfaces. III. Structrues containing warped surfaces. IV. Structures containing double-curved surfaces. For students of engineering and architecture . he horizontal semicircle, CFD — CD, and the vertical one,CD — CED. The joints of the spherical part are circular,and in planes which radiate from the diameter, OF — O —0F ; and are limited by the cylindrical stone, 0L/P. Intermediate points of these joints, as N, are readily foundon the plan and side elevation, in various ways. Thus, MMX — MNMi — MN is a vertical circle through W, which pointis thence projected upon MM^ at N, and upon M/rN at circle might have been made horizontal through N; orthe plane of the joint might have been revolved about OK —0K as an axis, when the circular joint would have fallen onKE and W at n. Then make r^N = nW, which will giveN, as before. Varied constructions are useful, in case some one of themdoes not conveniently apply to certain points. Points, as K,being projected at K, and K, and L/ at L, and L, KNL andKNLare the other two projections of the circular joiDt KL\ II. The Directing Instruments. — These will consist of pat- PIT!. I STONE-CUTTING. 105 terns of the plane and developable faces of all the stones, witha sufficient number of bevels to insure the correct relative po-sitions of all the surfaces. After the numerous preceding examples of developing theconvex surfaces of stones of irregular shape, the construction ofthe required patterns can be made from the following generaldirections. Take the stone, AA VW, of the bracket, and LKp of theniche, as being the most irregular ones. Let each extend to thevertical plane back, Br — R/Q, of the wall. Develop theentire convex surface, both lateral and end faces, of each, as inprevious examples. The following, including the necessarybevels, will thus be found. No. 1, the straight edge. No. 2


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