 | Charles Hutton - 1815 - 628 pages
...their periods round him ; the great law of which is, that the squares of the periodic times are always proportional to the cubes of their mean distances from the sun. , The periods, both tropical and sidereal, with the proportions of the mean distances of the several planets,... | |
 | John Bonnycastle - 1816 - 428 pages
...that the squares of the times in which any two planets complete their revolutions in their orbits, are proportional to the cubes of their mean distances from the sun. To illustrate this rule by an example : Venus, for instance, revolves round the sun in 224 days, and... | |
 | Hervey Wilbur - 1831 - 144 pages
...the squares of the periods, in which any two pla* nets complete their revolutions in their orbits, are proportional to. the cubes of their mean distances from the Sun. \ This proportion requires illustration. Let the period of tha Earth's revolution, be called 12 months,... | |
 | Hervey Wilbur - 1834 - 144 pages
...that the squares of the periods, in which any two planets complete their revolutions in their orbits, are proportional to the cubes of their mean distances from the Sun. This proportion requires illustration. Let the period of the Earth's revolution, be called 12 months,... | |
 | Mary Somerville - 1835 - 493 pages
...fig. 7., having the sun in S ; others appear to move in hyperbolas, like fig. 8. The third law is, that the squares of the periodic times of the planets...the cubes of their mean distances from the sun. The square of a number is that number multiplied by itself, and the cube of a number is that number twice... | |
 | Roswell Park - 1841 - 587 pages
...the sun, pass over equal areas in equal times; and 3. The squares of their times of annual revolution are proportional to the cubes of their mean distances from the sun. By the second law, the planets move slowest when farthest from the sun ; as the radius vector, being... | |
 | Mary Somerville - 1846 - 468 pages
...move in very long fiat ellipses; others appear to move in hyperbolas, like fig. 8. The third law is, that the squares of the periodic times of the planets...the cubes of their mean distances from the sun. The square of a number is that number multiplied by itself, and the cube of a uumber is thai number twice... | |
 | Mary Somerville - 1846 - 460 pages
...nppenr to move in hyperbolas, liko fig. 8. The third lav. is, that the squares of the periodic limes of the planets are proportional to the cubes of their mean distances from the sun. The square of a number Is that number multiplied by itself, and the cube of a numher is thai number twice... | |
 | Edward Bruce (bookseller.), John Bruce - 1846 - 120 pages
...the planets are ellipses, having the sun in one of their foci. 3rd The squares of the periodic times are proportional to the cubes of their mean distances from the sun. The secondary planets or satellites obey the same laws as the primary. They all move from west to east... | |
 | Mary Somerville - 1846 - 460 pages
...hyperbolas, like fig. 8. The third law is, that the squares of the periodic times of the planets ore proportional to the cubes of their mean distances from the sun. The square of a number is that number multiplied by itself, and the cube of a nuraher is that number twice... | |
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The squares of the times of revolution about the sun of any two planets are proportional to the cubes of their mean distances from the sun. 
