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" The area of the surface of a sphere is four times the area of a great circle. "
Observational Geometry - Page 113
by William Taylor Campbell - 1899 - 240 pages
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Iron: An Illustrated Weekly Journal for Iron and Steel ..., Volume 9

Perry Fairfax Nursey - Industrial arts - 1828
...Fluent», aie MECHANICAL CHIMNEY-SWEEPING. 4 с г* = 4 (ˇmes the area of the great circle AP B. And henee the surface of a sphere is four times the area of a circle of the same radius. Sup4 с т3 pose from the expression — — it is required to find the...
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Treatise on Plane and Solid Geometry: For Colleges, Schools and Private ...

Eli Todd Tappan - Geometry, Modern - 1864 - 292 pages
...is equal to the product of the diameter by the circumference of a great circle. 787. Corollary — The area of the surface of a sphere is four times the area of a great circle. For the area of a circle is equal to the product of its circumference by one-fourth of the diameter....
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Treatise on Geometry and Trigonometry: For Colleges, Schools and Private ...

Eli Todd Tappan - Geometry - 1868 - 436 pages
...is equal to the product of the diameter by the circumference of a great circle. 787. Corollary. — The area of the surface of a sphere is four times the area of a great circle. For the area of a circle is equal to the product of its circumference by one-fourth of the diameter....
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A Treatise on Land Surveying in Theory and Practice ...

John A. Smith - 1869
...fourth part of the surface of a sphere ; but TT r is the area of a great circle, and hence the area of a sphere is four times the area of a great circle. And from the formula we have A = -YCTT-I e being expressed in degrees. 180 Let the diameter of the...
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The popular encyclopedia; or, 'Conversations Lexicon': [ed. by A. Whitelaw ...

Popular encyclopedia - 1885
...circumference of a circle in terms of the diameter, and r is the radius of the sphere; that is. the area of a sphere is four times the area of a great circle. If a spherical surface be cut into rings by a set of parallel planes, the area of any ring is proportional...
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Practical Work in General Physics for Use in Schools and Colleges

Walter George Woollcombe - Physics - 1894 - 83 pages
...area of the surface of a hemisphere is twice that of the circular base on which it rests. Therefore the area of the surface of a sphere is four times the area of a central section, or 4irr 2 sq. cm. if the radius of the sphere is r cm. Measure the diameter of the...
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An Advanced Arithmetic: For High Schools, Normal Schools and Academies

George Albert Wentworth - Arithmetic - 1898 - 424 pages
...sphere, having its ends in the surface, is called a diameter ; half a diameter is called a radius. 149. The area of the surface of a sphere is four times the area of a circle of the same diameter. Hence, To Find the Area of the Surface of a Sphere, Multiply the square...
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An Advanced Arithmetic: For High Schools, Normal Schools and Academies

George Albert Wentworth - Arithmetic - 1898 - 424 pages
...sphere, having its ends in the surface, is called a diameter ; half a diameter is called a radius. 149. The area of the surface of a sphere is four times the area of a circle of the same diameter. Hence, To Find the Area of the Surface of a Sphere, Multiply the square...
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An Advanced Arithmetic

George Albert Wentworth - 1898 - 424 pages
...sphere, having its ends in the surface, is called a diameter ; half a diameter is called a radius. 149. The area of the surface of a sphere is four times the area of a circle of the same diameter. Hence, To Find the Area of the Surface of a Sphere, Multiply the square...
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Science Examination Papers

Great Britain. Education Department. Department of Science and Art - Examinations - 1899
...plane, show how to form a parallelepiped, having these lines as a pair of edges. (24.) 2. Prove that the area of the surface of a sphere is four times the area of a plane central section of the sphere. A uniform hollow spherical shell, 2 inches thick, of external...
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