| Ainsworth Rand Spofford, Charles Annandale - 1901 - 578 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 523ti or g of '7854; or by... | |
| Voltaire, Tobias Smollett - 1904 - 356 lapas
...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 - 1906 - 168 lapas
... 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 - 1906 - 340 lapas
...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... | |
| Clara Avis Hart, Daniel D. Feldman - 1912 - 220 lapas
...inscribed in, a great semicircle of the sphere ; 6 BOOK IX PROPOSITION XXIII. THEOREM 971. The area of the surface of a sphere is equal to four times the area of a great circle of the sphere. A Given sphere O with its radius denoted by K, and the area of its surface... | |
| Sophia Foster Richardson - 1914 - 236 lapas
...[Suggestion. The surface of a sphere is a zone whose altitude is 2r.] 442. COROLLARY 2. The area of the surface of a sphere is equal to four times the area of a great circle of the sphere. 443. THEOREM. The volume of the solid generated by a triangle revolving... | |
| John Charles Stone, James Franklin Millis - 1916 - 196 lapas
...polygon as the number of sides of the polygon is indefinitely increased. 448. Theorem. The area of the surface of a sphere is equal to four times the area of a great circle of the sphere. Hypothesis. S is the area of the surface and R the radius of the sphere... | |
| John H. Williams, Kenneth P. Williams - 1916 - 184 lapas
...area ABCDE = A EX 2 irr constantly. §717 Hence, S = AE X 2 irR. § 404, or § 440 QED 720. COR. 1. The surface of a sphere is equal to four times the area of a great circle. ~ForS = AEX2irR = 2RX2irR = 4:irR : >=7rD 2 . §409 721. COR. 2. The surfaces of two... | |
| Charles Morris - 1921 - 518 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 J of .785i ; or by multiplying... | |
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