The Rudiments of Masonry and Stonecutting: Exhibiting the Principles of Masonic Projection and Their Application to the Construction of Curved Wing-Walls and Domes, Oblique Bridges, and Roman and Gothic Vaulting
The Rudiments of Masonry and Stonecutting: Exhibiting the Principles of Masonic Projection and Their Application to the Construction of Curved Wing-Walls and Domes, Oblique Bridges, and Roman and Gothic Vaulting
This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1869 Excerpt: ... construction of vaults and arches may be more clearly understood. The elevations of the ends of the right cylinder, A B c D, fig. 43, plate 5, will be circles exactly coinciding with the square sections. The plan will be a rectangle, and the development, B A B C D C, will also be a rectangle, whose width, B A B, = ...
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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1869 Excerpt: ... construction of vaults and arches may be more clearly understood. The elevations of the ends of the right cylinder, A B c D, fig. 43, plate 5, will be circles exactly coinciding with the square sections. The plan will be a rectangle, and the development, B A B C D C, will also be a rectangle, whose width, B A B, = circumference of the circle formed by the square section. 121. If the cylinder be cut obliquely by a plane surface, as shown by the line E B on plan, the resulting section will be an ellipse, whose major axis = E B, and whose minor axis = diameter of the cylinder. The development of the curve of the oblique section is found as follows: --Divide the circumference of the square section into any convenient number of parts, as sixteen. Divide the width of the development in the same manner as shown at 1, 2, 3, &c. Transfer the divisions on one-half of the square section to the plan, as shown atcl234567D. Through the points thus found, draw lines parallel to the axis of the cylinder cutting the line Be atabcd efg. Through the points 12 3 4 5, &c, in the development, draw lines 1 a, 2 b, 3 c, &c, parallel to the side of the cylinder, and respectively equal to the lines 1 a, 2 b, 3 c, &c, in plan. A curve drawn through the points abed, &c, will be the development of the curve of the oblique section. 122. If we draw on the development any straight line in an oblique direction, as c E B, this line, when wrapped round the surface of the cylinder, vill form a spiral line whose inclination to the base of the latter will be uniform throughout its whole extent. 123. In building cylindrical arches on an oblique plan in spiral courses, the lines of the coursing joints are called coursing spirals; and those drawn perpendicular to them, for the ..
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