 | Adrien Marie Legendre - 1837 - 376 σελίδες
...Since the surface of a sphere whose radius is R. is expressed by 4«R2 (Prop. X. Cor.), it follows that the surfaces of spheres are to each other as the squares of their radii ; and since their solidities are as their surfaces multiplied by their radii, it follows... | |
 | Thomas Kerigan - 1838 - 804 σελίδες
...14159265, the logarithm of which is 0. 497150, and its arithmetical complement 9. 502850 ; and since the surfaces of spheres are to each other as the squares of their diameters ; therefore, To twice the logarithm of the earth's diameter add the constant logarithm 0. 497150, and... | |
 | 1843 - 142 σελίδες
...angle, is equal to the sum of the squares of the other two sides.- • NOTE 3. The areas of circles and the surfaces of spheres are to each other as the squares of their diameters. NOTE 4. The side of a square of any given area ia equal to the square root of that area. 16. Required... | |
 | Nathan Scholfield - 1845 - 506 σελίδες
...Since the surface of a sphere whose radius is R, is expressed by 4rR* (Prop. Ill, Cor. 2,) it follows that the surfaces of spheres are to each other as the squares of their radii ; and since their solidities are as their surfaces multiplied by their radii, it follows... | |
 | Nathan Scholfield - 1845 - 894 σελίδες
...Since the surface of a sphere whose radius is R, is expressed by 4*Ra (Prop. Ill, Cor. 2,) it follows that the surfaces of spheres are to each other as the squares of their radii ; and since their solidities are as their surfaces multiplied by their radii, it follows... | |
 | Nathan Scholfield - 1845 - 542 σελίδες
...Since the surface of a sphere whose radius is R, is expressed by 4*Ra (Prop. Ill, Cor. 2,) it follows that the surfaces of spheres are to each other as the squares of their radii ; and since their solidities are as their surfaces multiplied by their radii, it follows... | |
 | Adrien Marie Legendre - 1852 - 436 σελίδες
...Since the surface of a sphere whose radius 2 is R, is expressed by 4:i?xR (P. x., c. 1), it follows that the surfaces of spheres are to each other as the squares of their radii ; and since their solidities are as their surfaces multiplied by their radii, it follows... | |
 | Charles Davies - 1854 - 436 σελίδες
...2. Since the surface of a sphere whose radius o 1s E, is expressed by 4*XZ2 (PX, c. 1), it follows that the surfaces of spheres are to each other as the squares of their radii ; and since their solidities are as their surfaces multiplied by their radii, it follows... | |
 | Robert Linton - 1858 - 54 σελίδες
...times of rotation of the Sun and Earth are as 1 to v/16336-27 extracting the root as 1 to 25-37. But the surfaces of spheres are to each other as the squares of their diameters. Since, then, the Earth's surface is 16336 -27 times less than the Sun's, and the cubes of its times... | |
 | George James Ford - 1869 - 148 σελίδες
...and H = height of segment. TO FIND THE SURFACE OF A SPHERE. D2 x 3'1416 = convex surface. NOTE 1. — The surfaces of spheres are to each other as the squares of their diameters. NOTE 2. — The surface of a sphere is equal to the convex surface of the circumscribing cylinder.... | |
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Surfaces of spheres are to each other as the squares of their diameters. 
