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" That the planets all move in elliptic orbits, of which the sun occupies one of the foci. 3. That the squares of the times of the revolutions of the planets are as the cubes of their mean distances from the sun. "
The Elements of Astronomy: Designed for the Use of Students in the University - Página 72
por Samuel Vince - 1811 - 297 páginas
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A Treatise on Fluxions: In Two Volumes, Volumen1

Colin MacLaurin - 1801 - 506 páginas
...planet to the sun in equal times are equal, and the squares of the periodic times of the different planets are as the cubes of their mean distances from the sun (as was observed by the famous Kepler), and because the same laws obtain in the motions of the satellites...
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Institutes of Natural Philosophy: Theoretical and Practical

William Enfield - 1811 - 476 páginas
...squares of those distances. It appears from observation, that the squares of the periodical times of the planets are as the cubes of their mean distances from the sun. For example, Saturn's periodical time being found to be to Jupiter's about as 30 to 12, and the distance...
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A Complete System of Astronomy, Volumen1

Samuel Vince - 1814 - 602 páginas
...computations again, he discovered his error, and found an exact agreement between them. Thus he discovered the famous Law, That the squares of the periodic times...consequence of the motion of a body in an ellipse about the focus. Prin. Phil. Lib. I. Sec. 2. Pr. 15. 219. KEPLEE also discovered from observation,...
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A Compendious and Complete System of Modern Geography: Or, A View of the ...

Jedidiah Morse - 1814 - 696 páginas
...portions of the space, contained within the planet's orbit. 2. " The squares of the periodical times ot the planets are as the cubes of their mean distances from the sun." That is, as the square of the time, which any planet takes to describe its orbit, is to the square...
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Lectures on Experimental Philosophy, Astronomy, and Chemistry ..., Volumen1

George Gregory - 1820 - 458 páginas
...is one of the foci. The second law of Kepler is, that the squares of the times of the revolutions of the planets are as the cubes of their mean distances from the sun. That is, if we compare the square of the time which any two of the primary planets occupy in completing...
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A New System of Modern Geography, Or, A View of the Present State of the ...

Sidney Edwards Morse - 1822 - 706 páginas
...portions of the space, contained within the planet's orbit. 2. *' The squares of the periodical times of the planets are as the cubes of their mean distances from the sun." That is, as the square of the time, which any planet takes to 'describe its orbit, is to the square...
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Encyclopaedia Britannica: Or, A Dictionary of Arts, Sciences, and ..., Volumen2

1824 - 1008 páginas
...DISSERTATION. +7 areas in equal times. The third and last, that the squares of the periodic times of the planets are as the cubes of their mean distances from the sun. The knowledge of each of these was the result of much research, and of the comparison of a vast multitude...
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A Popular Exposition of the System of the Universe: With Plates ..., Volumen1

Ferdinand Rudolph Hassler - 1826 - 640 páginas
...proportional to the time employed to describe them. C. The square of the times of revolution of the different planets, are as the cubes of their mean distances from the sun. To these laws the comets are equally subjected. Kepler deduced them at first from a combination of...
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Elements of astronomy, illustrated by problems on the globes, and adapted ...

William Jevons - 1828 - 230 páginas
...vector,) describes equal areas in equal times; and 3rdly, That the squares of the periodic times of the planets are as the cubes of their mean distances from the sun.* It was reserved, however, for the immortal Newton to establish these laws on the basis of mathematical...
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The Methodist Magazine and Quarterly Review, Volumen9;Volumen20

1838 - 508 páginas
...radii vectores describe equal sectors in equal times. 3. The squares of the times of revolution of the planets are as the cubes of their mean distances from the sun. T>eneficial effect of these studies upon the mind. And allow me here to remark, these motives address...
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