 | Charles Davies - Geometry - 1850 - 238 pages
...convex surface is still equal to the perimeter of its base multiplied by its altitude : hence, the convex surface of a cylinder is equal to the circumference of its base multiplied by its altitude. THEOREM III. In every prism the sections formed by planes parallel to the base are equal polygons.... | |
 | Elias Loomis - Calculus - 1851 - 300 pages
...equal to 0 ; and if we make z=AB=A, we have the convex surface of the cylinder 2nbh ; that is, the convex surface of a cylinder is equal to the circumference of its base into its altitude. Ex. 3. It is required to determine the surface of a sphere. The equation of the... | |
 | Adrien Marie Legendre - Geometry - 1852 - 436 pages
...are the tfiree round bodies treated of in the Elements of Geometry. 206 PROPOSITION I. THEOEEM. The convex surface of a cylinder is equal to the circumference...multiplied by its altitude. Let CA be the radius of the base of a cylinder, and H its altitude ; denote the circumference whose radius is CA by circ. CA :... | |
 | Charles Davies - Geometry - 1886 - 340 pages
...convex surface is still equal to the perimeter of its base multiplied by its altitude : hence, the convex surface of a cylinder is equal to the circumference of its base multiplied by its altitude THEOREM IIIIn every prism the sections formed by planes pirallel to the bast are equal polygonsLet... | |
 | Charles Davies - Geometry - 1854 - 436 pages
...prism is always equal to the perimeter of its base multiplied by H; hence, the convex surface of tl1e cylinder is equal to the circumference of its base multiplied by its altitude. PROPOSITION II. THEOREM. The solidity of a cyl1nder is equal to the product of its base by its altitude.... | |
 | Dana Pond Colburn - Arithmetic - 1855 - 396 pages
...(q.) The solidity of a cylinder is equal to the area of its base multiplied by its altitude. (r.) The convex surface of a cylinder is equal to the circumference of its base multiplied by. its altitude. (s.) The solidity of a cone or of a pyramid equals the area of its base multiplied by i of its altitude.... | |
 | Charles Davies, William Guy Peck - Mathematics - 1855 - 628 pages
...rectangle becomes a square, the conjugate cylinders are equal solids. The area of the convex or lateral surface of a cylinder is equal to the circumference of its base multiplied by its altitude ; or, denoting the area required by A, the altitude of the cylinder by /i, and the radius of the base... | |
 | Dana Pond Colburn - Arithmetic - 1856 - 392 pages
...(q.) The solidity of a cylinder is equal to the area of its base multiplied by its altitude. (r ) The convex surface of a cylinder is equal to the circumference of its base multiplied by its altitude. (s.) The solidity of a cone or of a pyramid equals the area of its bnse multiplied by j of its altitude.... | |
 | Benjamin Greenleaf - Geometry - 1862 - 518 pages
...always equal to the perimeter of its base multiplied by its altitude ; hence, the convex surface of the cylinder is equal to the circumference of its base multiplied by its altitude. 573. Cor. 1. If two cylinders have the same altitude, their convex surfaces are to each other as the... | |
 | Benjamin Greenleaf - Geometry - 1862 - 532 pages
...always equal to the perimeter of its base multiplied by its altitude ; hence, the convex surface of the cylinder is equal to the circumference of its base multiplied by its altitude. 573. Cor. 1. If two cylinders have the same altitude, their convex surfaces are to each other as the... | |
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The convex surface of a cylinder is equal to the circumference of its base multiplied by its altitude, Fig. 
