 | Science - 1836 - 534 pages
...sun in one of its foci, Kepler discovered (by a discussion of the observations of Tycho Brahe) that the radius vector of a planet describes equal areas in equal times: but the truth of this law, as the result of any hypothesis respecting the force of gravitation, was... | |
 | Ezra Otis Kendall - Astronomy - 1845 - 408 pages
...outside of the point where the section commences. Kepler's Second Law. Kepler also discovered that the radius vector of a planet describes equal areas in equal times ; that is, if radii vectores be drawn from the sun to those points of the orbit occupied by the planet... | |
 | Hiram Mattison - Astronomy - 1856 - 254 pages
...statement of velocities on page 45, the mean or average velocity is given. 78. The second law is, that the radius vector of a planet describes equal areas in equal times. The radius is an imaginary line joining the center of the sun and the center of the planet, in any... | |
 | Elijah Hinsdale Burritt - Astronomy - 1856 - 358 pages
...statement of velocities on page 45, thfc mean or average velocity Is given. 567. The second law is, that the radius vector of a planet describes equal areas in equal times. The radius is an imaginary line joining the center of the Sun and the center of the planet, in any... | |
 | Thomas Milner - 1873 - 336 pages
...obedience to a general principle. This is his second law, which is technically expressed by saying that the radius vector of a planet describes equal areas in equal times. It will be readily understood. Let s be the sun, and the elliptic curve the path of a planet, represented... | |
 | Charles Robert Cross - Mechanics - 1873 - 182 pages
...followed by Newton. In the first place the proposition demonstrated in § 270, p. 131, shows that since the radius vector of a planet describes equal areas in equal times, there is a deflecting force, which must pass through the centre of the sun, which last fact is also... | |
 | Joseph Anthony Gillet - Astronomy - 1882 - 496 pages
...and slowest at aphelion. » Kepler's Second Law of planetary motion is usually stated as follows : The radius vector of a planet describes equal areas in equal times in every part of the plane '/'s orbit. 46. Kepler's Third Law. — Kepler finally discovered that the... | |
 | Joseph Haven - Psychology - 1883 - 892 pages
...made and abandoned nineteen false ones before he hit the right. This discovery led to another — that the Radius Vector of a planet describes equal areas in equal times. Newton never framed hypotheses, if we may believe him. But his own grand discovery of the law of gravity... | |
 | Edward John Hamilton - Psychology - 1883 - 740 pages
...three laws of planetary motion had been discovered through the observations of Kepler. These were that the radius vector of a planet describes equal areas in equal times, that the path of every planet is an ellipse, and that the squares of the times of revolution of the... | |
 | Joseph Haven - Psychology - 1883 - 610 pages
...made and abandoned nineteen false ones before he hit the right. This discovery led to another — that the Radius Vector of a planet describes equal areas in equal times. Newton never framed hypotheses, if we may believe him. But his own grand discovery of the law of gravity... | |
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The radius vector of each planet describes equal areas in equal times. (3) The squares of the periods of the planets are proportional to the cubes of their mean distances from the sun; ie, £,2 : fc,2 ::«!*: Oj8. This is the so-called "Harmonic Law. 
