| Adrien Marie Legendre - Geometry - 1819 - 208 pages
...multiplied by the radii are as the cubes of the radii. Therefore the solidities of two spheres are **as the cubes of their radii, or as the cubes of their diameters.** 548. Scholium. Let R be the radius of a sphere, its surface will be 4 *• fi3 , and its solidity 4... | |
| Adrien Marie Legendre - Geometry - 1822 - 367 pages
...the squares of the radii must be as the cubes of the latter. Hence the solidities of two spheres are **as the cubes of their radii, or as the cubes of their diameters.** Scholium. Let R be the radius of a sphere, its surface will be 4jrR2 ; its solidity 4a-R2x JR, or Ła-.R3.... | |
| Adrien Marie Legendre, John Farrar - Geometry - 1825 - 224 pages
...multiplied by the radii are as the cubes of the radii. Therefore the solidities of two spheres are **as the cubes of their radii, or as the cubes of their diameters.** 548. Scholium. Let R be the radius of a sphere, its surface will be 4 nR2, and its solidity 4 nR" X... | |
| Adrien Marie Legendre, John Farrar - Geometry - 1825 - 224 pages
...multiplied by the radii are as the cubes of the radii. Therefore the solidities of two spheres are **as the cubes of their radii, or as the cubes of their diameters.** 548. Scholium. Let R be the radius of a sphere, its surface will be 4 nR*, and its solidity tnR* X... | |
| Geology - 1835
...to 30. This radius, and that of the orbit of Uranus, are in the ratio of 1 to 49. And the volumes of **two spheres are to each other as the cubes of their radii.** If, therefore, we adopt the hypothesis of the equal distribution of comets in all the regions of our... | |
| Timothy Walker - Geometry - 1829 - 129 pages
...The surfaces of two spheres are to each, other as the squares of their radii. 4. The solidities of **two spheres are to each other as the cubes of their radii.** 5. Two similar pnlyedrons are to each other as the cubes of their homologous sides. 6. Two similar... | |
| Science - 1835
...to 30. This radius, and that of the orbit of Uranus, are in the ratio of 1 to 49- And the volumes of **two spheres are to each other as the cubes of their radii.** If, therefore, we adopt the hypothesis of the equal distribution of comets in all the regions of our... | |
| Adrien Marie Legendre - Geometry - 1836 - 359 pages
...as their surfaces multiplied by their radii, it follows that the solidities of spheres are to sack **other as the cubes of their radii, or as the cubes of their diameters.** Scholium 3. Let R be the radius of a sphere ; its surface will be expressed by 4"R3, and its solidity... | |
| Adrien Marie Legendre - Geometry - 1837 - 359 pages
...their solidities are as their surfaces multiplied by their radii, it follows that the solidities of **spheres are to each other as the cubes of their radii, or as the cubes of their diameters.** Scholium 3. Let R be the radius of a sphere ; its surface will be expressed by 4«Ra, and its solidity... | |
| Child rearing - 1840
...thirty. This radius, and that of the orbit of Uranus, are in the ratio of 1 to 49 ; and the volumes of **two spheres are to each other as the cubes of their radii.** If, therefore, we adopt the hypothesis of the equal distribution of comets in all the regions of our... | |
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