 | John Hind - Curves, Algebraic - 1831 - 552 pages
...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... | |
 | J. M. Scribner - Measurement - 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... | |
 | Industrial arts - 1845 - 488 pages
...and the diameter of the base are equal to one another ; for it is a well-known fact in geometry, that the surface of a sphere is equal to the convex surface of its circumscribing cylinder ; hence the mode of construction is manifest; for we have only to describe... | |
 | Nathan Scholfield - Geometry - 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... | |
 | 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... | |
 | Nathan Scholfield - Conic sections - 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... | |
 | Charles Davies - Geometrical drawing - 1846 - 254 pages
...through the centre, the circle of section is called a small circle. 56. How do you find the surface of a sphere ? The surface of a sphere is equal to the product of its diameter by the circumference of a great circle. Thus, the surface of the sphere whose... | |
 | Elias Loomis - Conic sections - 1849 - 252 pages
...of the diameter; hence the surface of a sphere is equivalent to four of its great circles. Cor. 3. The surface of a sphere is equal to the convex surface of the circumscribed cylinder. For the latter is equal to the product of its altitude by the circumference... | |
 | Richard Dawes - Teaching - 1849 - 228 pages
...cubes of their diameters. Archimedes* more than two thousand years ago discovered that the superficies of a sphere is equal to the convex surface of the circumscribing cylinder, or to the area of four of its great circles ; and that the solidity of the sphere is to that of its... | |
 | D. M. Knapen - Measurement - 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... | |
| |
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. 
