 | Peter Nicholson - 1825 - 1046 oldal
...section, if the projectile force does not exceed a certain limit, will become an ellipse. The t laid 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... | |
 | 1832 - 698 oldal
...: that the planets move in elliptical orbiis ; that equal areas are described in equal times ; and that the squares of the periodic times, are as the cubes of their distances. At the same time that Kepler was thus laying the foundation of physical astronomy,... | |
 | John Martin Frederick Wright - 1831 - 282 oldal
...an equiangular spiral might be described. 18. In different elliptic orbits, having a common focus, the squares of the periodic times are as the cubes of the major axes. ST. JOHN'S COLLEGE, 1824. 1 - DEFINE what is meant by the terms " limit " and " limiting ratio " and... | |
 | Mary Somerville - 1831 - 710 oldal
...they make the two satellites fall through in a second ; hence F: F' ::«_ :a'_, or " T1' T,* ' but the squares of the periodic times are as the cubes of the mean distances ; hence TZ • 7*8 •• n3 • nt* . i . it .. a . a , whence F : F' ::— : • 325.... | |
 | William Whewell - 1832 - 286 oldal
...means of Prop. 4. Cor 7- of the Introduction. It was discovered by Kepler, and is called his third Law, that the squares of the periodic times are as the cubes of the mean distances from the sun. From this it follows, Introd. Prop. 4. Cor. 6, that the forces are inversely... | |
 | James Renwick - 1832 - 584 oldal
...whence Va:ca: :r^R'; and as the timas are inversely as the velocities, T3 : P : : R' : r', (89) or the squares of the periodic times, are as the cubes of the radii. 66. Having thus investigated the circumstances of motion, in those lines and curves that will... | |
 | 1840 - 526 oldal
...swept by each radius vector in a given lime 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. Assuming... | |
 | 1834 - 574 oldal
...to find that the curve traced by the several points Q was an ellipse. The third great law of Kepler, that the squares of the periodic times are as the cubes of the mean distances, was first enounced by him in the Epitome of the Copernican Astronomy f. In the 20th... | |
 | 1834 - 578 oldal
...to find that the curve traced by the several points Q was an ellipse. The third great law of Kepler, that the squares of the periodic times are as the cubes of the mean distances, was first enounced by him in the Epitome of the Copernican Astronomy f. In the 20th... | |
 | 1836 - 498 oldal
...been attended by at least five moons. We shall see how this agrees with one of Kepler's laws, namely, that the squares of the periodic times are as the cubes of the mean distances from the sun. Let t and T be the periodic times of two planets, d and D their mean distances,... | |
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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. 
