But, in the midst of all these vicissitudes, the length of the major axes and the mean motions of the planets remain permanently independent of secular changes. They are so connected by Kepler's law, of the squares of the periodic times being proportional... Mechanism of the Heavens - Page xivby Mary Somerville - 1831 - 621 pagesFull view - About this book
| William Shepherd, Jeremiah Joyce, Lant Carpenter - 1815 - 598 pages
...times, and of course proportional to the times of describing them. He also discovered by trials, that **the cubes of the mean distances of the planets from the sun,** are in the same proportion as the squares of the periodical times in which they revolve about the sun.... | |
| Francis Lieber, Edward Wigglesworth, Thomas Gamaliel Bradford - 1832 - 624 pages
...possess the measure of our whole planetary system, as, according to the second • law of Kepler (qv), **the cubes of the mean distances of the planets from the sun** are as the squares of the periods of their revolutions (which have long been known). Therefore the... | |
| Encyclopaedia Americana - 1832 - 620 pages
...possess the measure cf our whole planetary system, as, according to the second law of Kepler (qv), **the cubes of the mean distances of the planets from the sun** are as the squares of the periods of their revolutions (which have long been known). Therefore the... | |
| Mary Somerville - 1834 - 658 pages
...at the rate of about 41 '44 miles annually ; and, if it were to decrease equably, it would be 37527 **years before the earth's orbit became a circle. But,...that all the bodies are in motion, and every orbit** in a state of perpetual change. Minute as these changes are, they might be supposed to accumulate in... | |
| Mary Somerville - 1834 - 390 pages
...at the rate of about 41.44 miles annually ; and, if it were to decrease equably, it would be 37527 **years before the earth's orbit became a circle. But...that all the bodies are in motion, and every orbit** in a state of perpetual change. Minute as these changes are, they might be supposed to accumulate in... | |
| Mary Somerville - 1834 - 484 pages
...orbit became a circle. But, in the midst of all these vicissitudes, the major axes and mean motions cf **the planets remain permanently independent of secular...from the sun, that one cannot vary without affecting** die other. With the exception of these two elements, it appeals that all the bodies are in motion,... | |
| Leigh Hunt - 1834 - 972 pages
...which Kepler might have apprized you that, the squares of the times of the planetary revolutions are as **the cubes of the mean distances of the planets from the sun.** But this was not all. It was not the tone for any mere physical truth. The enunciation was that of... | |
| Mary Somerville - 1835 - 532 pages
...so connected by Kepler's law, of the squares of the periodic times being proportional to the «ubes **of the mean distances of the planets from the sun, that one cannot vary without affecting the other.** And it is proved, that any variations which do take place are transient, and depend only on the relative... | |
| Francis Lieber, Edward Wigglesworth - 1835 - 620 pages
...possess the measure of our whole planetary system, as, according to the second law of Kepler (qv), **the cubes of the mean distances of the planets from the sun** are as the squares of the periods of their revolutions (which have long been known). Therefore the... | |
| Joseph Denison - 1842 - 54 pages
...EXPOSITION, THE analogy discovered by Kepler in the beginning of the seventeenth century, viz., that **the cubes of the mean distances of the planets from the Sun** are as the squares of their periodic times, is found to be invariably consistent with observation,... | |
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