. Cyclopedia of architecture, carpentry, and building : a general reference work .... ough the points thusobtained, as shown by K L M N, will bethe desired development. Fig. 6 shows the intersection betweena quadrangular iDrism and sphere, the centerof the prism to come directly over the centerof the sphere. Make the diameter ofthe sphere 2^ inches, the sides of theprism 1^ inches, and the height from /to c 2| inches. Draw the elevation of thesphere A which is struck from the center Fig. 6. a, from which erect the perpendicular a h. With any point, as c,as a center and using the same radius as
. Cyclopedia of architecture, carpentry, and building : a general reference work .... ough the points thusobtained, as shown by K L M N, will bethe desired development. Fig. 6 shows the intersection betweena quadrangular iDrism and sphere, the centerof the prism to come directly over the centerof the sphere. Make the diameter ofthe sphere 2^ inches, the sides of theprism 1^ inches, and the height from /to c 2| inches. Draw the elevation of thesphere A which is struck from the center Fig. 6. a, from which erect the perpendicular a h. With any point, as c,as a center and using the same radius as that used for A, describe theplan B. Through c draw the two diagonals at an angle of 45°, anddraw the plan of the prism according to the measurements draw the elevation of the prismyc and/ c, the sides of theprism intersecting the sphere at c and c. From either of these pointsdraw a horizontal line intersecting the center line a 1) at d. Thenusing a as a center and a d as the radius, describe the arc e eintersecting the sides of the x)rism extended at e and e \ f e e f. t73 14 SHEET-METAL WORK will be the development for one of the sides of the prism. Inpractice the four sides are joined in one. Fig. 7 shows the intersection of a quadrangular prism andsphere when the center of the prism is placed to one side of thecenter of the sphere. Make the diameter of the sjphere the sameas in the preceding figures; through x in the plan draw the 45°diagonal, and make the distance from a? to A ^ inch, the sides ofthe prism 1 inch, and the height from E to c in elevation 1| inches. Having drawn the elevation and plan ofthe sphere, construct the plan of the prismas shown by A B C D. Parallel to thecenter line x y i^roject the prism in eleva-tion intersecting the sphere at a and since the center of the sphere is onone of the diagonals of the prism in plan,either two of the sides meeting at one endof that diagonal, as B C and C D, will bealike, and both will be different fro
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