 | Isaac Newton - Calculus - 1745 - 524 pages
...betwixt the Surface of the Sphere and that of the circumfcribed Cylinder ; and that the Surface of the Sphere is equal to four times the Area of a great Circle. 421. Cor. 3. But upon the contrary if the Ellipfe AGE be fuppofed to grow more and more excentric,... | |
 | Colin MacLaurin - Calculus - 1801 - 506 pages
...the most valuable discoveries in geometry. In the first of these hedemonstrates, that the surfaceof a sphere is equal to four times the area of a great circle of the sphere. Let AEBFDfbe (fig. 4) be an equilateral polygon inscribed in the generating circle of... | |
 | Edward Augustus Kendall - 1811 - 462 pages
...about a diameter thereof, as an axis. All spheres are to one another as the cubes of their diameten. The surface of a sphere is equal to four times the area of one of its great circles, hence to find the superficies of any sphere, find the area of the great circle,... | |
 | Samuel Vince - Calculus - 1812 - 274 pages
...ADFC to be a great circle of the sphere, its area = ^ /;a2, by Art. 49. Ex. 2. Cor. Hence, the whole surface of a sphere is equal to four times the area of a great circle of that sphere. Cor. As the surface *DAC=pax, it varies as x. Ex. 2. Let the solid AFH be generated... | |
 | Jeremiah Day - Measurement - 1815 - 388 pages
...surface of the segment produced by the revolution of BD about DN is equal to DN x circ CP. Cor. 2. The surface of a sphere is equal to four times the area of a circle of the same diameter; and therefore, the convex surface of a hemisphere is equal to twice the... | |
 | William Nicholson - Natural history - 1821 - 384 pages
...pole. SPHERE, properties oftlte. \. AH spheres are to one another as the cubes of their diameters. 2. The surface of a sphere is equal to four times the area of one of its great circles, as is demonstrated by Archimedes in bis book of the Sphere and Cylinder,... | |
 | William Nicholson - Natural history - 1821 - 382 pages
...pole. SPRERE, properties of the. 1. All spheres are to one another as the cubes of their diameters. 2. The surface of a sphere is equal to four times the area of one of its great circles, as is demonstrated by Archimedes in his book of the Sphere and Cylinder,... | |
 | Jeremiah Day - Geometry - 1824 - 440 pages
...the surface of the segment produce/ by the revolution of BD about DN is equal to DN X cite CP Cor. 2. The surface of a sphere is equal to four times the area of a circle of the same diameter ; and therefore, the convex surface of a hemisphere is equal to twice the... | |
 | Voltaire - 1824 - 422 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... | |
 | Voltaire - 1843 - 1304 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... | |
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The surface of a sphere is equal to four times the area of a circle... 
