| Frank Castle - Mathematics - 1900
...solid ring. — The volume is the area of cross-section multiplied by mean length of ring = 2тгV2A. **Surface of a sphere is four times the area of a great circle** = 4тгr2, where r denotes the radius of the sphere. Volume of a sphere. — Volume of a sphere is... | |
| 1904 - 386 pages
...volumes of the two portions into which the pyramid is divided by the plane B'C'D' ' . (35) 63. Prove that **the area of the surface of a sphere is four times the area of a** plane central section. A hollow metal shell, bounded by two concentric spheres of radii, 2a, a, respectively,... | |
| Daniel Alexander Murray - 1906 - 472 pages
...semicircle AGB = 2 TT • R • 2 R ; ie area of surface of sphere of radius R = 4 trR2. In words : **The area of the surface of a sphere is four times the area of a great circle** of the sphere. Definition. A zone of a sphere is a portion of the surface included between two parallel... | |
| John William McClymonds, David Rhys Jones - Arithmetic - 1907 - 352 pages
...down into a cone of the same base and altitude. What part of the stone was cut away ? 368. Spheres. **The area of the surface of a sphere is four times the area of a great circle** (wr2) of the sphere. The area of the surface of a sphere is equal to the square of the diameter x TT,... | |
| Daniel Alexander Murray - Plane trigonometry - 1908
...semicircle AGB = 2 7r • R • 2 R ; ie area of surface of sphere of radius R = 4 ,rR2. In words : **The area of the surface of a sphere is four times the area of a great circle** of the sphere. Definttion. A zone of a sphere is a portion of the surface included between two parallel... | |
| Daniel Alexander Murray - Spherical trigonometry - 1908 - 132 pages
...of semicircle AGB = 2 TT . R • 2 R; ie area of surface of sphere of radius R = 4 ir.B2. In words : **The area of the surface of a sphere is four times the area of a great circle** of the sphere. Definition. A zone of a sphere is a portion of the surface included between two parallel... | |
| John William McClymonds, David Rhys Jones - Arithmetic - 1910 - 336 pages
...down into a cone of the same base and altitude. What part of the stone was cut away ? 368. Spheres. **The area of the surface of a sphere is four times the area of a great circle** (Trr2) of the sphere. The area of the surface of a sphere is equal to the square of the diameter x... | |
| John William McClymonds, David Rhys Jones - Arithmetic - 1910 - 338 pages
...into a cone of the same base and altitude. What part of the stone was cut away ? 368. Spheres. Tlie **area of the surface of a sphere is four times the area of a great circle** (Tr?- 2 ) of the sphere. Tlie area oftlie surface of a sphere is equal to the square of the diameter... | |
| Henry Smith Carhart - 1917 - 478 pages
...area of a circle is the product of 3.1416 (very nearly ^7S) and the square of the radius (A = trr 2) ; **the surface of a sphere is four times the area of a** circle through its center (A = 4irr2). For other surfaces, see Appendix III. FIGURE 11. — SQUARE... | |
| Henry Smith Carhart, Horatio Nelson Chute - Physics - 1917 - 572 pages
...area of a circle is the product of 3.1416 (very nearly if) and the square of the radius (A = irr 2) ; **the surface of a sphere is four times the area of a** circle through its center (A = 4irr2). For other surfaces, see Appendix III. FIGURE 11. — • SQUARE... | |
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