 | 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.... | |
 | Adrien Marie Legendre, Charles Davies - Geometry - 1857 - 442 pages
...Geometry. PROPOSITION I. THEOREM. i The convex surface of a cylinder is equal to the circumferenet of its base 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 :... | |
 | 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... | |
 | Evan Wilhelm Evans - Geometry - 1862 - 116 pages
...their common altitude. That is, the solidity of any prism is equal, etc. 86 GEOMETRY.THEOREM VIII. The convex surface of a cylinder is equal to the circumference of its base multiplied l>y its altitude; and its solidity is equal to the area of its base multiplied by its altitude. Let... | |
 | Benjamin Greenleaf - Geometry - 1863 - 504 pages
...describe a sphere, and the semisquare a cylinder circumscribing the sphere. The convex surface of the cylinder is equal to the circumference of its base multiplied by its altitude (Prop. I.). But the base of the cylinder is equal to the great circle of the sphere, its diameter EG... | |
 | C. Davies - 1867 - 342 pages
...polyedron having its centre at the centre of the sphere133 CYLINDER, CONE, AND FRUSTUMTHEOREM IThe convex surface of a cylinder is equal to the circumference of its base multiplied by its 'altitudeLet ABDE be the base of a cylinder whose altitude is H; then will its convex surface be equal... | |
 | Edward Brooks - Geometry - 1868 - 284 pages
...polyedron having its centre at the centre of the sphere. CYLINDER, CONE, AND FRUSTUM. THEOREM I. The convex surface of a cylinder is equal to the circumference of its base multiplied by its altitude. Let ABDE be the base of a cylinder whose altitude is H; then will its convex surface be equal to circumference... | |
 | Benjamin Greenleaf - Geometry - 1868 - 340 pages
...describe a sphere, and the semisquare a cylinder circumscribing the sphere. The convex surface of the cylinder is equal to the circumference of its base multiplied by its altitude (Prop. I.). But the base of the cylinder is equal to the great circle of the sphere, its diameter EG... | |
 | Charles Davies - Geometry - 1872 - 464 pages
...the CONE, and the SPHERE, are sometime* called TUB. THREE ROUND BODIES. PROPOSITION I. THEOREM. The convex surface of a cylinder is equal to the circumference of its base multiplied by tJ>e altitude. Let ABD be the base of a cylinder whose altitude is H: then will its convex surface... | |
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THEOREM. 7?/6 convex surface of a cylinder is equal to the circumference of its base multiplied by its altitude. 
