. 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 . oid of Fig. 50. Taking thehelicoid, RrS, for illustration, the intersection of AB with suc-cessive elements parallel to Rr would, when projected upon thevertical projections, BgB j 11, etc., of these elements, be thevertical projections of points of the indefinite face joint Rr;and a parallel to EF, at s2, the intersection


. 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 . oid of Fig. 50. Taking thehelicoid, RrS, for illustration, the intersection of AB with suc-cessive elements parallel to Rr would, when projected upon thevertical projections, BgB j 11, etc., of these elements, be thevertical projections of points of the indefinite face joint Rr;and a parallel to EF, at s2, the intersection of the plane ABwith the plane S«i, would be an asymptote to this curve whichwould resemble cdoq in Fig. 50. 104. Other projections. —In finished drawings for exhibitionor other purposes, elevations on planes parallel to the face, orto the axis, may be desired. These are easily made, as shownin Fig. 51, a fragment of the vertical section through the is the right section of the intrados, and the parallelsto AB through its points of equal division 1, 2, 3, etc., are thevertical projections of the elements at 1, 2, 3, etc., on the newplane. The portion, RS, of the inner helix, RST, is then projected ;R, at Rj; R2, at K2; S, at Si, etc. Other helices could be. STONE-CUTTING. 73 similarly projected. The projections of the half face lines, EBand FD, would be elliptical II. TJie directing Instruments. — These are — No. 1. The straight edge, applicable to any ruled surface,in the direction of its straight elements. No. 2. The masons square, applied wherever two lines, ortwo surfaces are to be perpendicular to each other. No. 3. The pattern, MmZjoO, of the bed of a top stone ofthe abutment; also called an impost stone, or springer. No. 4. The modification of No. 3, applicable to the bed,DdZiZ, of the springer at the obtuse corner, D, of the abut-ment. No. 5. The second modification of No. 3, for marking thebed, MmZB, of the springer at the acute corner, B, of the a


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