 | Encyclopaedias, John Millard - 1813 - 712 pages
...their motions always conforming to the law discovered by Kepler, but first demonstrated by Newton, that the squares of the periodic times are as the cubes of the respective mean distances from the sun, or focal body. 3. Th« time of performing' their revolutions... | |
 | John Playfair - 1814 - 392 pages
...27d.32166, § 124. and her mean distance 59.879 semidiameters of the Earth. From this, on the supposition that the squares of the periodic times are as the cubes of the distances the period of a body projected, so as to describe a circle round the Earth, will be found lh.41516.... | |
 | Samuel Vince - 1814 - 602 pages
...moves in a circular orbit, we may take 44",23 for the true distance without much error ; hence, as the squares of the periodic times are as the cubes of the distances, the distance of the first satellite comes out 33",09. The synodic revolutions were here used instead... | |
 | Samuel Vince - 1820 - 472 pages
...satellites move in circular orbits, we may take 44",23 for the true distance, without much error; hence, as the squares of the periodic times are as the cubes of the distances, the distance of the first satellite .comes out 33.",P£. The synodic revolutions were here used instead... | |
 | John Playfair - 1822 - 464 pages
...section, if the projectile force does not exceed a certain limit, will become an ellipse. The third law, that the squares of the periodic times are as the cubes of the distances, is a property which belongs to the bodies describing elliptic orbits under the conditions just stated.... | |
 | James Renwick - 1822 - 476 pages
...sector described by the radius of vector of each planet is proportioned to the time of description. (3) The squares of the periodic times are as the cubes of the distances. 874. These laws, having the double confirmation of theory and observation, may be taken as general... | |
 | James Mitchell - 1823 - 666 pages
...also the distances of all the other ptanels, will be known also, from the thud law ot Kepler, vix. that the squares of the periodic times are as the cubes of the distances. There are many different methods of determining the parallax of the planets; but being an extremely... | |
 | 1824 - 844 pages
...section, if the projectile force does not exceed a certain limit, will become an ellipse. The third law, that the squares of the periodic times are as the cubes of the distances, is a property which belongs to the bodies describing elliptic orbits under the conditions just stated.... | |
 | 1824 - 878 pages
...section, if the projectile force does not exceed a certain limit, will become an ellipse. The third law, that the squares of the periodic times are as the cubes of the distances, is a property which belongs to the bodies describing elliptic orbits under the conditions just stated.... | |
 | 1824 - 492 pages
...precise day, (May 15th, 1618,) when he found out this third law of the planetary motions, viz. — " That the squares of the periodic times, are as the cubes of their mean distances from the sun." Having discovered these three laws of the planetary motions, he... | |
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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. 
