 | Thomas Simpson - 1750 - 604 lapas
...itfelf = zpax = AF X Peripb. AEBH. Which, if the whole Sphere be taken, will become AB X Peripb. AEBH = four times the Area BEAHO. Hence the Superficies of...Superficies of any Segment thereof, is to that of the fFbok, as the Axis (or Thicknefs) of the Segment to the Diameter of the Sphere. EXAMPLE III. 162. Wherein... | |
 | John Rowe (Mathematician) - 1751 - 202 lapas
...Cylinder circumfcribing the Sphere is =-¿ca'ít we have the following COROLLARY. The Content of any Sphere is equal to four Times the Area of its greateft Circle multiplied ; into f th Part of its Axis ; or equal to two-third Parts of its circumfcribing Cylinder.... | |
 | Voltaire - 1824 - 422 lapas
...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 lapas
...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... | |
 | Pierce Morton - 1830 - 584 lapas
...less than the surface of the sphere ; that is, it is equal to it. Therefore, &c. Cor. 1. The surface of a sphere is equal to four times the area of its generating circle. For the area of this circle is equal to half the product of the radius and circumference... | |
 | 1835 - 684 lapas
...less than the surface of the sphere ; that is, it is equal to it. t Therefore, &c. Cor. 1. The surface of a sphere is equal to four times the area of its generating circle. For the area of this circle is equal to half the product of the radius and circumference... | |
 | James Morton - 1881 - 236 lapas
...cube. To find the surface of a sphere, square its diameter ; multiply said square by. 3183. The surface of a sphere is equal to four times the area of its great circle, or to the area of a circle whose diameter is twice as great as that of the sphere. For... | |
 | Alexis Claude Clairaut - 1881 - 184 lapas
...line os and of the arc MN are equal in area. It is also manifest, from the preceding, that the surface of a sphere is equal to four times the area of its great circle ; for the surface of this great circle has for its measure the product of half the radius,... | |
 | James Morton - 1887 - 236 lapas
...cube. To find the surface of a sphere, square its diameter ; multiply said square by. 3183. The surface of a sphere is equal to four times the area of its great circle, or to the area of a circle whose diameter is twice as great as that of the sphere. For... | |
 | Silas Ellsworth Coleman - 1897 - 178 lapas
...are each equal to the diameter of the sphere ; hence S = 2 irr x 2 r = 4 wr2. The area of the surface of a sphere is equal to four times the area of its great circle. 108. Let T! and r t be the radii of two spheres, Si and S 2 their surfaces. Then ^: Hence... | |
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... of judges, when they pass such sentences. There is no certainty, except when it is physically or morally impossible that the thing can be otherwise. What ! is a strict demonstration necessary to enable us to assert that the surface of a sphere is... 
