...Globe or Sphere. Observations. The coat of this folid cannot be laid out in piano. But its area is juft equal to four times the area of one of its great circles, RULE. Multiply the fquare of its axis by 3.1416 (that is .7854X4) and the produft is the area of the...

...a sphere ,we multiply the circumference by the whole diameter, it follows that the superficial area of -a sphere' is equal to four times the area of one of its great circles. From the foregoing demonstrations it will also follow, that in order to obtain the superficial area...

...surface of the sphere, 180°x wi=sx (A + B+C- 180°). SX(A + B4 c-180") S But the whole surface of the sphere is equal to four times the area of one of its great • cird es *, and the area of a great circle = •i- circumference x radius = 1 80° x radius, if...

...are to one another as the cubes of their diameters. The surface of a sphere is equal to four tiroes the area of one of its great circles, hence to find...superficies. The solidity of a sphere is equal to the surface multiplied into one third of the radius. SPHERE, in astronomy, that concave expanse, popularly...

...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...

...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...

...or arc, am : : surface of the sphere : the area of the lune AB c AQED COR. Since the surface of the sphere is equal to four times the area of one of its great circles, if d be put = diameter, c = circumference, and a — length of the arc B m, by the last mentioned proposition,...

...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, lib. i. prop. 37. Hence, to...

...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, lib. i. prop. 37. Hence, to...

...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...