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Βιβλία Βιβλία 1 - 10 από 36 για The surface of a sphere Is equal to four times the area of one....
" The surface of a sphere Is equal to four times the area of one... "
The young student's pocket companion, or Arithmetic, geometry, trigonometry ... - Σελίδα 187
των John Draper (of Whitehaven.) - 1772
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The Modern Preceptor Or a General Course of Education: Containing ..., Τόμος 1

John Dougall - 1810 - 580 σελίδες
...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 tyill also follow, that in order to obtain the superficial area...

A pocket encyclopædia, or library of general knowledge

Edward Augustus Kendall - 1811
...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...

A Treatise on Plane and Spherical Trigonometry: With Their Most Useful ...

John Bonnycastle - 1818 - 438 σελίδες
...: : 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,...

British Encyclopedia: Or, Dictionary of Arts and Sciences ..., Τόμος 11

William Nicholson - 1821
...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...

American Edition of the British Encyclopedia: Or, Dictionary of ..., Τόμος 11

William Nicholson - 1821
...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...

An Introduction to the Theory and Practice of Plain and Spherical ...

Thomas Keith - 1826 - 442 σελίδες
...180°xm=s X(A + B + C— 180°). SX(A + B + C-180°) S '* -- -- 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 circle=£ circumference x radius =1 80° x radius, if therefore radius=l, the...

An Analytical Treatise on Plane and Spherical Trigonometry, and the Analysis ...

Dionysius Lardner - 1828 - 317 σελίδες
...bears to the surface s the ratio oi : 860°. If L be the lune The surface of a sphere is proved to be equal to four times the area of one of its great circles *. Hence s = 4r-7r, v L = 2r2w. (172.) Cor. 1. Lunes of the same sphere are as their angles. (173.)...

The First Six Books of the Elements of Euclid, with a Commentary and ...

Euclid, Dionysius Lardner - 1828 - 324 σελίδες
...therefore, when multiplied by the diameter, is four times the area. Hence ' the surface of a sphere is equal to four times the area of one of its great circles.' (235) COR. 2. — Hence the surfaces of spheres are as the squares of their radii or diameters. PROPOSITION...

Young's elements of the integal calculus

John Radford Young - 1831 - 306 σελίδες
...C. Between the limits x = 0, .r = r, this is 2wr5; hence the surface of the whole sphere is 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 from which we...

A System of Geography, Popular and Scientific: Or A Physical ..., Τόμος 1

James Bell - 1832
...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...




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