 | Encyclopedias and dictionaries - 1867 - 522 pages
...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 - 318 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 - 526 pages
...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 - 372 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 - 368 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 - 526 pages
...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,... | |
 | Royal Irish Academy - Science - 1893 - 1242 pages
...attraction = 0» centrifugal force = ufla. Equating these, we find •which represents Kepler's well-known third law that the squares of the periodic times are proportional to the cuhes of the distance*. Let us now take a molecule of chlorine, and represent it a* follows : If now,... | |
 | Chambers W. and R., ltd - 1871 - 276 pages
...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 - 418 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 - India - 1878 - 386 pages
...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,... | |
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The third, viz. that the squares of the periodic times are proportional to the cubes of the mean distances... 
