 | 1867 - 672 pages
...interference with ' the perennial Miracle of the Material World,' the law that in the planetary orbits the squares of the periodic times are as the cubes of the distances. In like manner, no moralist fancies that he can lay bare the ultimate causes of our power to distinguish... | |
 | Enoch Fitch Burr - 1867 - 212 pages
...comets, is substantially at rest. Hence the law which Newton proved is applicable to our system — the squares of the periodic times are as the cubes of the mean distances from the sun. By the help of this law and the periods, if we can find the mean distance... | |
 | 1867 - 522 pages
...by each radius vector in a given time is a constant quantity for the same planet ; and lastly, that the squares of the periodic times are as the cubes of the mean distance — have supplied means for a much more accurate determination of the sun's parallax.... | |
 | James McCrie - 1871 - 652 pages
...described by that line in the planet's motion round the sun are proportioned to the times employed, and the squares of the periodic times are as the cubes of the distances ; so in regard to the action of gravitation, the height is proportional to the square of the time of... | |
 | John Brinkley - 1871 - 344 pages
...motion of each planet is such, that it describes about the sun equal areas in equal times; and 3° that the squares of the periodic times are as the cubes of the greater axes of their orbits. Kepler, to whom wo owe these important discoveries, was born in 1571,... | |
 | Samuel Newth - 1879 - 370 pages
...therefore, V Hence, if several bodies move in different ellipses, about the same force in the focus, the squares of the periodic times are as the cubes of the major axes. 235. The values of p and p being the same for the hyperbola as for the ellipse, it follows... | |
 | Thomas Allen Blyth - 1882 - 120 pages
...force in the centre. (5) A parahola with the centre of force in the focus. 9. In the planetary orbits the squares of the periodic times are as the cubes of the mean distances. Paper 3. DESCHANEL-S NATURAL PHILOSOPHY. PART I. 1. Enunciate the proposition known... | |
 | 1882 - 810 pages
...that line in its motion round the sun are proportional to the times employed in the motion, and that the squares of the periodic times are as the cubes of the distance. The first of these is a law of forms, the other two are laws of numbers. By their mutual... | |
 | Burlington B. Wale - 1883 - 568 pages
...that line in its motion round the sun are proportional to the lines employed in the motion ; (3) that the squares of the periodic times are as the cubes of the distances. character of all the higher laws of nature to assume the form of a precise quantitative statement."... | |
 | H. G. Rush - 1887 - 156 pages
...every orbit is circular, the position of the central body depending upon the ratio of the forces. 3rd. The squares of the periodic times are as the cubes of the radii. These laws, though not formally announced in the early part of this work, are fundamental, and... | |
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... the squares of the periodic times are as the cubes of the distances from the common centre, the centripetal forces will be inversely as the squares of the distances. 
