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Books Books 21 - 30 of 122 on The third, viz. that the squares of the periodic times are proportional to the cubes....
" The third, viz. that the squares of the periodic times are proportional to the cubes of the mean distances... "
History of Astronomy - Page 53
by George Forbes - 1909 - 200 pages
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A New Treatise on Astronomy, and the Use of the Globes, in Two Parts ...

James M'Intire - Astronomy - 1850 - 326 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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History of Physical Astronomy: From the Earliest Ages to the Middle of the ...

Robert Grant - Astronomy - 1852 - 637 pages
...second, that a line joining the planet and the sun sweeps over equal areas in equal times; the third, that the squares of the periodic times are proportional to the cubes of the mean distances from the sun. Kepler was conducted to the first and second of these laws by researches on the motion of the planet...
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The Christian remembrancer; or, The Churchman's Biblical, ecclesiastical ...

1856
...foci. 2. That the areas included between two radii vectores are as the times of describing the arcs. 3. That the squares of the periodic times are proportional to the cubes of the distances. It must not be supposed that it was mere chance that led to these discoveries. His previous...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856
...ellipses about a common centre, and the centripetal force varies inversely as the square of the distance ; the squares of the periodic times are proportional to the cubes of the major axes. A particle moves in an ellipse about the centre of force in the focus S : when the particle...
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Theory of the motion of the heavenly bodies moving about the sun in conic ...

Carl Friedrich Gauss - Orbits - 1857 - 326 pages
...motion -^t J~—--, from which it is apparent, that for difa* . ferent bodies revolving about the sun, the squares of the periodic times are proportional to the cubes of the mean distances, so far as the masses of the bodies, or rather the inequality of their masses, can be neglected. 8....
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Return to an Address of the Honourable the House of Commons, Dated 10 ...

E. D. Bourdillon - Education and state - 1859
...focus. 10. If any number of bodies move in ellipses about a common centre of force, which is the focus, the squares of the periodic times are proportional to the cubes of the major axis. 1 1 . The arc of a cycloid measure from the vertex to any point equals twice the chord...
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Popular Astronomy: A Concise Elementary Treatise on the Sun, Planets ...

Ormsby MacKnight Mitchel - Astronomy - 1860 - 376 pages
...planetary orbit, or will it increase or decrease the length of the major axis? Kepler's third law tells us that the squares of the periodic times are proportional to the cubes of the major axes, and from this relation it is manifest that any change in the elliptic velocity of a planet...
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Popular Astronomy, And, The Orbs of Heaven

Astronomy - 1860
...planetary orbit, or will it increase or decrease the length of the major axis? Kepler's third law tells us that the squares of the periodic times are proportional to the cubes of the major axes, and from this relation it is manifest that any change in the elliptic velocity of a planet...
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A compendium of facts and formulŠ in pure mathematics and natural philosophy

George Robarts Smalley - 1862
...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. 3. Deductions from Kepler's Laws, From Law (1) — the force which acts upon the bodies tends always...
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Newton's Principia: Sections I. II. III.

Sir Isaac Newton - Curves, Plane - 1863 - 288 pages
...planet to the Sun's center are, in the same orbit, proportional to the time of describing them. III. That the squares of the periodic times are proportional to the cubes of the major axes. These laws were discovered by Kepler from observations made on the planet Mars, and stated...
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