| Roswell Park - Best books - 1847 - 626 pages
...bounded by three arcs of great circles, that is, circles whose planes pass through the centre. The convex surface of a cylinder, is equal to the circumference of its base, multiplied by its altitude : that of a cone, is equal to the circumference of its base, multiplied by its slant height, or distance... | |
| George Roberts Perkins - Geometry - 1850 - 332 pages
...might be shown to be less than that of any circumscribed prism BCDKLKH. PROPOSITION IV. THEOREM. The convex surface of a cylinder is equal to the circumference...being represented by circ. CA, we are to show that circ. CA x H will be the convex surface of the cylinder. For, if this proposition be not true, then... | |
| 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.... | |
| Charles Davies - Geometry - 1850 - 218 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... | |
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