 | 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... | |
 | 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... | |
 | Gerardus Beekman Docharty - Calculus - 1865 - 328 pages
...When x-0, C=0, and S=0. If we make a;=:A=the height of the cylinder, we have S=27tb.h. That is, the convex surface of a cylinder is equal to the circumference of its base multiplied by its altitude. Ex. 133. To find the surface of a sphere. Let y—^r^—y? be the equation of the generating circle.... | |
 | Benjamin Greenleaf - Geometry - 1873 - 202 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. BOOK VI. 340. Cor. 2. If H represent- the altitude of a cylinder, and R the radius of its base, then... | |
 | Adrien Marie Legendre - Geometry - 1874 - 500 pages
...the CONE, and the SPHERE, are sometimes called THE THREE ROUND BODIES. PROPOSITION I. THEOREM. The convex surface of a cylinder is equal to the circumference of its base multiplied by the altitude. Let ABD be the base of a cylinder whose altitude is H : then will its convex surface... | |
 | Benjamin Greenleaf - Geometry - 1874 - 206 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. BOOK VI. 340. Cor. 2. If H represent the altitude of a cylinder, and R the radius of its base, then... | |
 | Catherinus Putnam Buckingham - Calculus - 1875 - 362 pages
...height. (240) For the convex surface of a cylinder we have _y=R=radius of the base hence that is, the convex surface of a cylinder is equal to the circumference of its base into its altitude (241) In the case of the sphere we have (Art. 68) hence S=2-Rx+C Estimating from... | |
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The convex surface of a cylinder is equal to the circumference of its base multiplied by its altitude, Fig. 
