. Haswell's engineers' and mechanics' pocket-book ... tion passesobliqvAy through the cylinder^ abed. Rule.—Multiply the area of the base of the cylinder by half thesum of the greater and less heights a e, of of the ungula, and theproduct is the solidity. When the Section passes through the base of the Cylinder and one of itssides—fig. 29, a be. Rule.—Frorii | of the cube of the right sine a d, of half the arcag of the base, subtract the product of the area of the base, and thecosine df of said half arc. Multiply the difference thus found bythe quotient of the height, divided by the versed sin
. Haswell's engineers' and mechanics' pocket-book ... tion passesobliqvAy through the cylinder^ abed. Rule.—Multiply the area of the base of the cylinder by half thesum of the greater and less heights a e, of of the ungula, and theproduct is the solidity. When the Section passes through the base of the Cylinder and one of itssides—fig. 29, a be. Rule.—Frorii | of the cube of the right sine a d, of half the arcag of the base, subtract the product of the area of the base, and thecosine df of said half arc. Multiply the difference thus found bythe quotient of the height, divided by the versed sine, and the prod-uct is the solidity. Whe7i the S2ction passes ooliquely through both ends of the Cylinder^adce—fig. 30. Rule.—Find the solidities of theungulas adce and dbc, and thedifference is the solidity required {conceiving the section to be con-tinued till it meets the side of the cylinder). Note.—For rules to ascertain the solidity of conical ungulas, see RyarCs Bonny-castles Mensuration^ page 136 (1839). OF CONES AND c a To find the Solidity of a Cone or Pyramid—figs. 31 and 33. Rule.—Multiply the area of the base by the height c d, and I theproduct vi^ill be the content. To find the Solidity of the Frustrum of a Cone—fig. 32. Rule.—Divide the difference of the cubes of the diameters the two ends by the difference of the diameters ; this quotient, .7854, and again by J of the height, will give the so-lidity. To find tlie Solidity of the Frustrum of a Pyramid—fig. 34. Rule.—Add to the areas of the two ends of the frustrum thesquare root of their product, and this sum, multiplied by J of theheight a b, will give the solidity. MENSURATION OF SOLIDS. 83 OF WEDGES AND
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