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" The surface of a sphere is equal to four times the area of a circle... "
Principles of the differential and integral calculus: familiarly illustrated ... - Page 80
by William Ritchie - 1836 - 174 pages
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The young student's pocket companion, or Arithmetic, geometry, trigonometry ...

John Draper (of Whitehaven.) - 1772
...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...
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The Modern Preceptor Or a General Course of Education: Containing ..., Volume 1

John Dougall - Education - 1810 - 580 pages
...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...
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An Introduction to the Theory and Practice of Plane and Spherical ...

Thomas Keith - Navigation - 1810 - 420 pages
...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...
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A pocket encyclopædia, or library of general knowledge

Edward Augustus Kendall - 1811
...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, and multiply it by...
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The principles of fluxions: designed for the use of students in the university

Samuel Vince - Calculus - 1812 - 256 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...
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A practical application of the principles of geometry to the mensuration of ...

Jeremiah Day - Measurement - 1815 - 96 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...
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A Treatise on Plane and Spherical Trigonometry: With Their Most Useful ...

John Bonnycastle - Trigonometry - 1818 - 438 pages
...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,...
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British Encyclopedia: Or, Dictionary of Arts and Sciences ..., Volume 11

William Nicholson - Science - 1821
...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...
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American Edition of the British Encyclopedia: Or, Dictionary of ..., Volume 11

William Nicholson - Science - 1821
...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...
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A Philosophical Dictionary: From the French, Volume 3, Issues 1-2

Voltaire - Philosophy - 1843
...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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