 | Charles Butler - 1814 - 582 pages
...methods of computation ; but I believe it cannot be effected by elementary Geometry. The superficies of a sphere is equal to the convex surface of its circumscribing cylinder ; it is likewise equal to four times the area of a great circle of the tphere. If the diameter of a... | |
 | Charles Butler - 1814 - 528 pages
...methods of computation ; but I believe it cannot be effected by elementary Geometry. The superficies of a sphere is equal to the convex surface of its circumscribing •ylimk-r ; it is likewise equal to four times the area of a great circle of the sphere. If the diameter... | |
 | John Hind - 1831 - 552 pages
...radius is equal to the chord of half the corresponding arc. , ; 26. СОЕ. 3. Hence it is manifest, that the surface of a sphere is equal to the convex surface of its circumscribed cylinder ; and also, that the surface of any spherical zone is equal to the surface of... | |
 | William Ritchie - 1836 - 198 pages
...for the convex surface of a cylinder whose radius is r and height x, it is obvious that the convex surface of a sphere is equal to the convex surface of its circumscribing cylinder. COR. 2. Hence, if the sphere and its circumscribing cylinder be cut by a plane, the surface of the... | |
 | J. M. Scribner - 1844 - 130 pages
...will it require to cover a hemispherical dome whose base is 13 feet across ? Jlns. 265.5. NOTE.— The surface of a sphere is equal to the convex surface of a cylinder whose diameter is equal to the diameter of the sphere, and -whose height is also equal to... | |
 | Perry Fairfax Nursey - 1845 - 474 pages
...first in respect of the right cylinder, being only a particular case of the general construction t'iere given, viz., that in which the length of the cylinder...geometry, that the surface of a sphere is equal to the convox surface of its circumscribing cylinder ; hence Ifie mode of construction is manifest; for we... | |
 | Nathan Scholfield - 1845 - 542 pages
...increased, the reveloid then becomes a sphere, and the circumscribing prism becomes a cylinder. Hence the surface of a sphere is equal to th,e convex surface of its circumscribing cylinder. Cor. 2. Hence the surface of a revoloid is equal to the perimeter of its centeral conjugate section... | |
 | Nathan Scholfield - 1845 - 894 pages
...increased, the reveloid then becomes a sphere, and the circumscribing prism becomes a cylinder. Hence the surface of a sphere is equal to the convex surface of its circumscribing cylinder. Cor. 2. Hence the surface of a revoloid is equal to the perimeter of its centeral conjugate section... | |
 | Nathan Scholfield - 1845 - 506 pages
...increased, the reveloid then becomes a sphere, and the circumscribing prism becomes a cylinder. Hence the surface of a sphere is equal to the convex surface of its circumscribing cylinder. Cor. 2. Hence the surface of a revoloid is equal to the perimeter of its.centeral conjugate section... | |
 | D. M. Knapen - 1849 - 300 pages
...points for the cylinder, and over the diameter found on D will be found its solidity on the line C. The surface of a sphere is equal to the convex surface of its least circumscribing cylinder : it is also equal to four times the area of a great circle of the sphere.... | |
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The surface of a sphere is equal to the convex surface of the circumscribing cylinder ; and the solidity of the sphere is two thirds the solidity of the circumscribing cylinder. 
