 | Charles Davies, Adrien Marie Legendre - Geometry - 1885 - 538 pages
...P. XVI.) : hence, the area of the surface of the sphere is equal to 2OEx2TrOE, or to 4TrO?, that is, the area of the surface of a sphere is equal to four great circles. Cor. 2. The surface generated by any arc of the semicircle, as BC, is a zone, •whose... | |
 | George Albert Wentworth - Arithmetic - 1886 - 392 pages
...represents any 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 area of the surface... | |
 | James Morton - Mathematics - 1887 - 236 pages
...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.... | |
 | Silas Ellsworth Coleman - Arithmetic - 1897 - 178 pages
...circumscribed 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... | |
 | Henry W. Keigwin - Geometry - 1897 - 254 pages
...generated by the chords when the number of chords is indefinitely increased.] (Z=2irra.) 567. COR. The area of the surface of a sphere is equal to four great circles. (8=4n1*.) EXERCISES. 1. On a sphere the areas of two zones are proportional to their... | |
 | Ainsworth Rand Spofford, Charles Annandale - Encyclopedias and dictionaries - 1901 - 578 pages
...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 •523ti... | |
 | Voltaire, Tobias Smollett - 1904 - 356 pages
...the thing can be otherwise. What ! is a strict demonstration necessary to enable us to assert that the surface of a sphere is equal to four times the area of its great circle ; and is not one required to warrant taking away the life of a citizen by a disgraceful... | |
 | Charles Westinghouse - Machine design - 1906 - 168 pages
...the diameter • Fig. 99. and the height of which are each equal to the diameter of the sphere. Also, the area of the surface of a sphere is equal to four times the area of its diameter. The latter definition is easily remembered, and is useful in calculating the areas of... | |
 | Joseph H. Rose - Sheet-metal work - 1906 - 340 pages
...cylinder, the diameter and ths height of which are each equal to the diameter of the sphere. Also, the area of the surface of a sphere is equal to four times the area of its diameter. f i -*» The latter definition is easily remembered, and is useful in calculating the... | |
 | Elmer Adelbert Lyman - Geometry - 1908 - 364 pages
...of 35° on spheres whose areas are 60 and 80 sq. ft. respectively ? (Why?) THEOREM XIV 709. The area of a sphere is equal to four times the area of a great circle. Given: S the area and R the radius of a sphere generated by the revolution of semicircle ADB about... | |
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The surface of a sphere is equal to four times the area of a circle... 
