. 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 . al plane of Cd2 — Cqvupon V» As before, this plane cuts from the plane od2 a per-pendicular to V at d2, which, in horizontal projection, gives d2,on the horizontal projection, Cd2 (C being projected from C),of the circle considered ; and thence d2. The joint sought isevidently a hyperbola, it being the intersection of the p
. 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 . al plane of Cd2 — Cqvupon V» As before, this plane cuts from the plane od2 a per-pendicular to V at d2, which, in horizontal projection, gives d2,on the horizontal projection, Cd2 (C being projected from C),of the circle considered ; and thence d2. The joint sought isevidently a hyperbola, it being the intersection of the planeoxo]d2 with the cone whose axis is the vertical at O, and whoseslant is that of G0. Hence, make pOo= G0A, andOp — Op is that element whose intersection with the plane,0]pd2, is the vertex,pp, of this hyperbola; whose horizontalprojection pb2d2 can now be more accurately drawn than with-out the aid of the vertex p. Finally, make O/?—the heightof p, and pb2d2 is the vertical projection of the same hyper-bolic joint, of which only b2d? — b2d2 — b2d2 is real. Any other hyperbolic joints are found in the same way. Other lunette lines. — These are, for the same joint planeod2, the circular arc d2e — d2e—d2e, on the spherical extrados • Dr-4*_. STONE-CUTTING. 113 ef2 — e, on the horizontal ledge, generated by DH ; f2g2 —eg2 on the cylindrical back of the dome ; g2ux — 9i-> on theextrados of the arch; uxu—g2d2, a radial edge in the arch;and ua2 — d2, on the intrados of the arch. The large diameter of the arch, as compared with the radiusOAx, carries the point ttt nearly out of the quadrant, OAAx,unless, as shown at ft, it be taken lower than the correspond-ing point bb\. II. The directing Instruments.— These, besides Nos. 1 and2, are patterns of all the plane, cylindrical, and conical surfacesof voussoirs, with certain bevels, as follows, taking for illustra-tions the stone between od2 and og{ of the lunette, and thestone RQST, of the dome.
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Keywords: ., bookcentury1800, bookdecade1870, bookidstereotomypr, bookyear1875
