 | 1839 - 1004 pages
...areas constitute two of the three celebrated truths known by the name of Kepler's laws. The third, viz. that the squares of the periodic times are proportional to the cubes of the mean distances from the sun, was not discovered till twelve years after, although, before the publication of his ' Mysterium Cosmographicum,'... | |
 | 1839 - 518 pages
...areas constitute two of the three celebrated truths known by the name of Kepler's laws. The third, viz. that the squares of the periodic times are proportional to the cubes of the mean distances from the sun, was not discovered till twelve years after, although, before the publication of his ' Mysterium Cosmographicum,'... | |
 | 1839 - 518 pages
...areas constitute two of the three celebrated truths known by the name of Kepler's laws. The third, viz. that the squares of the periodic times are proportional to the cubes of the mean distances from the sun, was not discovered till twelve pears after, although, before the publication of his ' Mysterium Cosmographicum,'... | |
 | Society for the diffusion of useful knowledge - 1839 - 524 pages
...areas constitute two of the three celebrated truths known by the name of Kepler's laws. The third, viz. that the squares of the periodic times are proportional to the cubes of the mean distances from the sun, was not discovered till twelve years after, although, before the publication of his ' Mysterium Cosraographicum,'... | |
 | John Hymers - 1840 - 386 pages
...plane proportional to the time. (2) The orbits are ellipses having the Sun in one of their foci. (3) The squares of the periodic times are proportional to the cubes of the mean distances from the Sun. The first shews that the force which acts on the bodies tends always to the center of the Sun; the... | |
 | Cambridge univ, exam. papers - 1843 - 50 pages
...revolve in ellipses round the same centre of force varying inversely as the square of the distance, the squares of the periodic times are proportional to the cubes of the major axes of the orbits. 15. Define the terms " meridian," " terrestrial latitude and longitude,"... | |
 | Harvey Goodwin - 1846 - 500 pages
...each planet about the sun are, in the same orbit, proportional to the time of describing them. III. The squares of the periodic times are proportional to the cubes of the major axes. It will be easily seen that these three laws follow at once from the hypothesis of a force,... | |
 | Edward Bruce (bookseller.), John Bruce - 1846 - 398 pages
...equal times. 2nd. The orbits of 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.... | |
 | Anna Cabot Lowell - 1850 - 378 pages
...Hence we have 2 rTT2 _ . _ . . r2 ' r/2 ' ' T2 * T'2 rs T/2=z: r/3 T2 • which is Kepler's third law, that the squares of the periodic times are proportional to the cubes of the mean distances. This same proposition gives us the mass of two attracting bodies, the orbits and periodic times of... | |
 | James M'Intire - 1850 - 352 pages
...periodic times of the planets and their mean distances from the sun. From these comparisons he found that the squares of the periodic times are proportional to the cubes of their mean distances, or to the cubes of the semi-major axes of their elliptic orbits. This law prevails... | |
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... that the squares of the periodic times are proportional to the cubes of the mean distances from the sun. 
