| Encyclopedias and dictionaries - 1867
...in ellipses, that the radius vector in each orbit passes over areas proportional to the tunes, and **that the squares of the periodic times are proportional to the cubes of the mean distances,** — are commonly called Kepler's laws. They were discovered by Kepler from observation, before the... | |
| George Biddell Airy - Astronomy - 1866 - 292 pages
...South Pole of the earth. From the relation of the motions of different planets expressed in Kepler's **third law (that the squares of the periodic times are proportional to the cubes of the** distances), it follows that the periodic times increase in a greater proportion than the distances... | |
| Charles Knight - Encyclopedias and dictionaries - 1867
...in ellipses, that the radius vector in each orbit passes over areas proportional to the times, and **that the squares of the periodic times are proportional to the cubes of the mean distances,** — are commonly called Kepler's laws. They were discovered by Kepler from observation, before the... | |
| Isaac Todhunter - Mechanics - 1867 - 350 pages
...The radius drawn from a planet to the sun describes in any time an area proportional to the time. (3) **The squares of the periodic times are proportional to the cubes of the** major axes of the orbits. From the second law it follows, by Art. 159, that each planet is acted on... | |
| Isaac Todhunter - Mechanics - 1867 - 350 pages
...The radius drawn from a planet to the sun describes in any time an area proportional to the time. (3) **The squares of the periodic times are proportional to the cubes of the** major axes of the orbits. From the second law it follows, by Art. 159, that each planet is acted on... | |
| William Chambers, Robert Chambers - Anthologies - 1869
...formed his second law. His third great discovery was, that the squares of the periodic times of planets **are proportional to the cubes of the mean distances from the sun.** The sagacity of this wonderful man, and his incessant application to the study of the planetary motions,... | |
| Chambers W. and R., ltd - 1871
...formed his second law. His third great discovery was, that the squares of the periodic times of planets **are proportional to the cubes of the mean distances from the sun.** The sagacity of this wonderful man, and his incessant application to the study of the planetary motions,... | |
| John William Draper - Religion and science - 1875 - 373 pages
...relation between the mean distances of the planets from the sun and the times of their revolutions ; " **the squares of the periodic times are proportional to the cubes of the** distances." -In "An Epitome of the Copernican System," published in 1618, he announced this law, and... | |
| Poona Sarvajanick sabha
...beautiful law of Kepler, though it is not based on any theory and is derivde from actual observation, viz **that " The squares of the periodic times are proportional to the cubes of the** distances from the sun." To us it appears that all the arguments of the Docter turn upon one point,... | |
| Robert Stawell Ball - Astronomy - 1880 - 459 pages
...which the sun occupies one of the foci; each of the planets sweeps over equal areas in equal times, and **the squares of the periodic times are proportional to the cubes of the mean distances.** In order to define completely the nature of the orbit of a planet, it is necessary to specify certain... | |
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