 | Adrien Marie Legendre - Geometry - 1841 - 288 pages
...multiplied by the radii are as the cubes of the radii. Therefore t he solidities of two spheres are as the cubes of their radii, or as the cubes of their diameters. 548. Scholium. Let R be the radius of a sphere, its surface will be 4w.fi2, and its solidity 4 * R2... | |
 | Nathan Scholfield - Conic sections - 1845 - 542 pages
...their solidities are as their surfaces multiplied by their radii, it follows that the solidities of spheres are to each other as the cubes of their radii or diameters, and the same is true also of revoloids. If the diameter is called D, we shall have R = 1... | |
 | Nathan Scholfield - 1845 - 894 pages
...their solidities are as their surfaces multiplied by their radii, it follows that the solidities of spheres are to each other as the cubes of their radii or diameters, and the same is true also of revoloids. If the diameter is called D, we shall have R = i... | |
 | Nathan Scholfield - Geometry - 1845 - 506 pages
...their solidities are as their surfaces multiplied by their radii, it follows that the solidities of spheres are to each other as the cubes of their radii or diameters, and the same is true also of revoloids. If the diameter is called D, we shall have R —... | |
 | George Roberts Perkins - Geometry - 1847 - 326 pages
...the squares of the radii must be as the cubes of the latter. Hence the solidity of two spheres are as the cubes of their radii, or as the cubes of their diameters. Schol. Let E be the radius of a sphere : its surface will be 4 * R' ; its solidity, 4 * R" XJK, or... | |
 | George Roberts Perkins - Geometry - 1850 - 332 pages
...multiplied by their radii must be as the cubes of the latter. Hence the solidity of two spheres are as the cubes of their radii, or as the cubes of their diameters. Schol. Let R be the radius of a sphere : its surface will be 4 * R ; its solidity, 4 * R 2 xi R, or... | |
 | Adrien Marie Legendre - Geometry - 1852 - 436 pages
...their solidities are as their surfaces multiplied by their radii, it follows that the solidities of spheres are to each other as the cubes of their radii, or as the cubes of their diameters. Scholium 3. Let R be the radius of a sphere ; its surface will be expressed by ^X^, and its solidity... | |
 | Charles Davies - Geometry - 1854 - 436 pages
...their solidities are as their surfaces multiplied by their radii, it follows that the solidities of spheres are to each other as the cubes of their radii, or as tl1e cubes of their diameters. Scholium 3. Let R be the radius of a sphere ; its BUT• 2 face will... | |
 | Dana Pond Colburn - Arithmetic - 1855 - 396 pages
...diameter, or it equals £ of the cube of the diameter multiplied by 3.1416* («.) The solidities of spheres are to each other as the cubes of their radii or diameters. (<,.) The solidities of similar solids are to each other as the cubes of their like dimensions.... | |
 | Dana Pond Colburn - Arithmetic - 1856 - 392 pages
...diameter, or it equals £ of the cube of the diameter multiplied by 3.1416* (n.) The solidities of spheres are to each other as the cubes of their radii or diameters. • See foot note, page 34.3. (o.) The solidities of similar solids are to each other as... | |
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The volumes of two spheres are to each other as the cubes of their radii, or as the cubes of their diameters. 
