 Secondly, on the supposition that the earth performs an annual revolution around the sun, it is embraced along with the planets, in Kepler's law, that the squares of the times are as the cubes of the distances ; otherwise, it forms an exception, and the...  Engineers' and Mechanics' Pocket-book ... - Page 190by Charles Haynes Haswell - 1844 - 264 pagesFull view - About this book
 | Pierre Simon marquis de Laplace, Thomas Young - Capillarity - 1821 - 402 pages
...remains doubled. 262. COROLLARY 4. " 243." If the forces are inversely as the squares of the distances, the squares of the times are as the cubes of the distances. For the squares of the times are as the distances directly, and as the forces inversely (261) : that... | |
 | Henry Brougham Baron Brougham and Vaux - Mathematics - 1828 - 248 pages
...in the whole compass of science; for it. does so * This is expressed mathematically by saying, that the squares of the times are as the cubes of the distances. Mathematical language is not only the simplest and most easily understood of any, but the shortest... | |
 | William Grier - Mechanical engineering - 1832 - 366 pages
...different ; that is, their angular velocities are the same, but their actual velocities are not. 4. The central forces are as the radii of the circles...squares of the times are as the cubes of the distances. When a body revolves in a circle by means of central forces, its actual velocity is the same as it... | |
 | James Hann, Isaac Dodds - Mechanics - 1833 - 234 pages
...radii, and the forces are also as the radii. 134. And, generally, the forces are as the distances or radii of the circles directly, and the squares of the times inversely. 135. The squares of the times are as the distances directly and the forces inversely. 136. Therefore... | |
 | William Grier - Mechanical engineering - 1836 - 384 pages
...different ; that is, their angular velocities are the same, but their actual velocities are not. 4. The central forces are as the radii of the circles...squares of the times are as the cubes of the distances. When a body revolves in a circle by means of central forces, its actual velocity is the same as it... | |
 | William Grier - Mechanical engineering - 1836 - 380 pages
...but their actual velocities are not. 4. The central forces are as the radii of the circles «lirecdy, and the squares of the times inversely, also the Squares of the times are as the cubes of the distances. When a body revolves in a circle by means of central forces, its actual velocity is the same as it... | |
 | Sir Daniel Keyte Sandford - Art - 1836 - 502 pages
...circles in which the bodies move, direct ly or inversely, as the squares of the times of revolution ; and the squares of the times are as the cubes of the distances of the Ixjdies from the centre of motion. By these laws we may determine the relative intensities of... | |
 | Stephen Peter Rigaud - Physics - 1838 - 208 pages
...of the Principia treats of bodies revolving in circles ; and the sixth corollary to it shews that if the squares of the times are as the cubes of the distances, the force towards the centres will be inversely as the squares of the radii. This was the proper place... | |
 | Denison Olmsted - Astronomy - 1839 - 300 pages
...performs an annual revolution around the sun, it is embraced along with the planets, in Kepler's law, that the squares of the times are as the cubes of the distances ; otherwise, it forms an exception, and the only known exception to this law. 340. It only remains... | |
 | Denison Olmsted - Astronomy - 1839 - 504 pages
...performs an annual revolution around the sun, it is embraced along with the planets, in Kepler's law, that the squares of the times are as the cubes of the distances ; otherwise, it forms an exception, and the only known exception to this law. Lastly, the aberration... | |
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