 The areas of the surfaces of two spheres are to each other as the squares of their radii, or as the squares of their diameters.  Solid Geometry - Page 395by Claude Irwin Palmer - 1918 - 177 pagesFull view - About this book
 | Timothy Walker - Geometry - 1829 - 138 pages
...they are as their bases. If the bases are the same, they are as their altitudes. 164. — The surfaces of two spheres are to each other as the squares of their radii, and the solidities are as the cubes of thtir radii — . 1. Let S be the surface of one sphere, C a... | |
 | Charles Davies, William Guy Peck - Electronic book - 1855 - 592 pages
...subdivided into varieties, &c. For nais. MATHEMATICAL DICTIONARY AND [SPH , = 4ят» = mi«. The surfaces of two spheres are to each other as the squares of their radii, or as the squares of their diameters ; or in general, as the squares of any two homologous lines that can be drawn in the sphere. If a right... | |
 | Charles Davies, William Guy Peck - Mathematics - 1855 - 628 pages
...following formulas for the are again subdivided into varieties, &c. For ' surface, , - 4;rr3 = The surfaces of two spheres are to each other as the squares of their radii, or as the squares as spherical angle, spherical triangle, spherical polygon, &c. SPHERICAL ANGLE. An angle included of... | |
 | Dana Pond Colburn - Arithmetic - 1855 - 396 pages
...The SURFACE of a sphere equals the square of its diameter multiplied by 3.1416.* (I.) The surfaces of spheres are to each other as the squares of their radii or diameters. (m.) The SOLIDITY, or SOLID CONTENTS, of a sphere equals the product of the surface multiplied... | |
 | Dana Pond Colburn - Arithmetic - 1856 - 392 pages
...The SURFACE of a sphere equals the square of its diameter multiplied by 3.1416.* (I.) The surfaces of spheres are to each other as the squares of their radii or diameters. (m.) The SOLIDITY, or SOLID CONTENTS, of a sphere equals the product of the surface multiplied... | |
 | Charles Davies, William Guy Peck - Mathematics - 1857 - 608 pages
...a, we have the following formulas for the surface. The surfaces of two spheres are to each other an the squares of their radii, or as the squares of their diameters ; or in general, as the squares of any two homologous lines that can be drawn in the sphere. If a right... | |
 | Dana Pond Colburn - 1858 - 288 pages
...surface of a sphere 4 inches in diameter = 3.1416 times 16 sq. ft. = 50.2656 sq. ft. (k.) The SURFACES OF SPHERES are to each other as the squares of their radii or diameters. ILLUSTRATION^— The surface of a sphere 2 inches in diameter is Jtj of the surface of a... | |
 | Charles Davies, William Guy Peck - Mathematics - 1859 - 622 pages
...spherical angle, spherical triangle, spheri- . The sur?jccs of two spheres are to each other ea' polygon, as the squares of their radii, or as the squares of their diamctcre ; or in general, as the squares of any two homologous lines that can be drawn in the sphere.... | |
 | Dana Pond Colburn - Arithmetic - 1860 - 388 pages
...The SURFACE of a sphere equals the square of its diameter multiplied by n.1416.* (1.) The surfaces of spheres are to each other as the squares of their radii or diameters. (m.) The SOLIDITY, pr SOLID CONTENTS, of a sphere equals the product of the surface multiplied... | |
 | Benjamin Greenleaf - Geometry - 1862 - 518 pages
...by D, its surface will be represented by 4 TI X B2, or n X D2. 593. Cor. 5. Hence, the surfaces of spheres are to each other as the squares of their radii or diameters. represented by H, the surface of a zone or segment will be represented by 2 * XRXH, or *... | |
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