 | Sir Thomas Little Heath - 1921 - 612 lapas
...that circles are to one another as the squares on their diameters, while Archimedes first proved that the surface of a sphere is equal to four times the area of a great circle in it and the volume two-thirds of the cylinder circumscribing it. (a) Area of 8Ccd43fle... | |
 | Sir Thomas Little Heath - 1921 - 610 lapas
...that circles are to one another as the squares on their diameters, while Archimedes first proved that the surface of a sphere is equal to four times the area of a great circle in it, and the volume two-thirds of the cylinder circumscribing it. (a) Arei( of scalene... | |
 | Voltaire - 1901 - 678 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... | |
 | Frank Moore Colby, Talcott Williams - 1922 - 1022 lapas
...revolution of a circular sector about any diameter of its circle as an axis is called a spherical sector. The surface of a sphere is equal to four times the area of a great circle of the sphere, that is, SPHERICAL BECTOHS, THE LEFT ONE A SPHERICAL CONE. to та1 or... | |
 | Howard Whitley Eves - 1983 - 292 lapas
...From this one could induce that the area of the hemisphere is twice that of the disc, or that the area of a sphere is equal to four times the area of one of its great circles — a fact that was first rigorously established by Archimedes in the third century BC With such experiments,... | |
 | Research & Education Association Editors, Ernest Woodward - 2012 - 1080 lapas
...measures 14 in. 22 [Use IT = -«-] (See figure.) Solution; The surface area of a sphere is, by postulate, equal to four times the area of one of its great circles. Therefore, S = 4 irr , where r is the radius of a great circle of the sphere. Since the radius of a... | |
 | 100 lapas
...Definition The area of a sphere is equal to the area of its curved spherical surface. Postulate The area of a sphere is equal to four times the area of one of its great circles. area A=1Tr S= 4A= 4iTr'd a great circle 12.5 VOLUMES Definition The volume of a solid is the number... | |
 | Régis Morelon - 1996 - 430 lapas
...of Archimedes, even if the fundamental ideas are the same. By this method they show that the area of the surface of a sphere is equal to four times the area of the great circle of the sphere, ie 4*r2. The Banu Musa determine the volume of the sphere as 'the product... | |
 | Voltaire - 1901 - 674 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... | |
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The surface of a sphere is equal to four times the area of a circle... 
