 | James Bell - 1832 - 736 lapas
...deduced from the circumference is equal to 7,912.2 miles. The superficial contents of a globe being equal to four times the area of one of its great circles, the surface of the earth will contain 4X 12,428.5X3,956.1=196,673,555.4 square miles. The solid contents... | |
 | 1832 - 636 lapas
...• — O •• - — — 3SKO • ™ ' "' • 360° 2» The surface of a sphere is proved to be equal to four times the area of one of its great circles. Hence, •.•L=2r"«. ' (19.) Cor. 1. Lunes ef the same sphere are as their angles. (20.) Cor. 2.... | |
 | John Radford Young - 1833 - 286 lapas
...number 3.14159, &c. It can be proved, although not by the elementary principles of Trigonometry, that the surface of a sphere is equal to four times the area of one of its great circles ;* that is, r being the radius of the sphere S = 4vri, so that the expression for the area of the lune... | |
 | John Radford Young - 1833 - 330 lapas
...the limits x — 0, x = r, this is 2irra ; hence the surface of the whole sphere is s = 4W3, which is equal to four times the area of one of its great circles. 2. To determine the surface of a spheroid. The equation of the generating ellipse is y = ,/(! — e2)... | |
 | 1835 - 684 lapas
...greater nor 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... | |
 | Mechanics - 1837 - 350 lapas
...expressed by unity. Then, according to the principles of mensuration, the surface of a sphere or globe — Is equal to four times the area of one of its great circles, or that whose plane passes through the centre of the sphere. Consequently, the convex surface of the... | |
 | Jeremiah Day - 1838 - 416 lapas
...the surface of the segment produced by the revolution of BD about DN is equal to DNxcirc 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... | |
 | Thomas Keith - 1839 - 498 lapas
...if si= | of the surface of the sphere, 180°xm=sx (A + B + C — 180°) But the whole surface of the sphere is equal to four times the area of one of its great circles *, and the area of a great circles | circumference x radius = 180° x radius ; if therefore radius... | |
 | Jeremiah Day - 1839 - 434 lapas
...the surface of the segment produced by the revolution of BD about DN is equal to DNxctVc 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... | |
 | Dionysius Lardner - 1840 - 386 lapas
...cylindrical*surface is equal to the area of the surface of the sphere, it follows, that the area of the surface of a sphere is equal to four times the area of one of its great circles. (489.) The area of the surface of a spherical segment LPI/ (fig. 177.), will be equal fg_ 177 to the... | |
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The surface of a sphere is equal to four times the area of a circle... 
