 | Charles Taylor - 1881 - 488 lapas
...before Eudoxus) no one had discovered them. In like manner, none before Archimedes had discovered that the surface of a sphere is equal to four times the area of one of its great circles (prop. 35) ; the volume of a sphere to two thirds of the circumscribed cylinder having the same altitude,... | |
 | Alexis Claude Clairaut - 1881 - 184 lapas
...straight line os and of the arc MN are equal in area. It is also manifest, from the preceding, that the surface of a sphere is equal to four times the area of its great circle ; for the surface of this great circle has for its measure the product of half the... | |
 | James Morton - 1881 - 236 lapas
...circumscribing cube. To find the surface of a sphere, square its diameter ; multiply said square by. 3183. The surface of a sphere is equal to four times the area of its great circle, or to the area of a circle whose diameter is twice as great as that of the sphere.... | |
 | John Ogilvie - 1883 - 830 lapas
...two-thirds of its circumscribing cylinder. Spheres are to one another as the cubes of their diameters. The surface of a sphere Is equal to four times the area of one of its great circles, and the solidity is found by multiplying the cube of the diameter by 5230 or 3 of 7854; or by multiplying... | |
 | John Ogilvie - 1883 - 834 lapas
...two-thirds of its circumscribing cylinder. Spheres are to one another as the cubes of their diameters. The surface of a sphere is equal to four times the area of one of its great circles, and the solidity is found by multiplying the cube of the diameter by 5236 or 3 of 7854; or by multiplying... | |
 | Benjamin Williamson - 1884 - 424 lapas
...generated by the polygon becomes a sphere ; and we get 471- .ft2 for the entire surface of the sphere. Hence, the surface of a sphere is equal to four times the area of one of its great circles. Again, it is easy to find the surface generated by any number of sides of the polygon. Thus, for example,... | |
 | George Albert Wentworth - 1886 - 392 lapas
...position of the generating circle during its rotation, is called a meridian of longitude. 46L The area of the surface of a sphere is equal to four times the area of a great circle of a sphere. 462. The volume of a sphere is equal to one-third of the product of the... | |
 | James Morton - 1887 - 236 lapas
...circumscribing cube. To find the surface of a sphere, square its diameter ; multiply said square by. 3183. The surface of a sphere is equal to four times the area of its great circle, or to the area of a circle whose diameter is twice as great as that of the sphere.... | |
 | Daniel Kinnear Clark - 1892 - 682 lapas
...cylinder. The surface of a sphere is equal to the productif the square of the diameter by 3-1416. It is equal to four times the area of one of its great circles. 'I It is equal to the convex surface of its circumscribing cylinder. .'.-..' - .' ... | |
 | Silas Ellsworth Coleman - 1897 - 178 lapas
...cylinder are each equal to the diameter of the sphere ; hence S = 2 irr x 2 r = 4 wr2. The area of the surface of a sphere is equal to four times the area of its great circle. 108. Let T! and r t be the radii of two spheres, Si and S 2 their surfaces. Then... | |
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The surface of a sphere is equal to four times the area of a circle... 
