| John Aikin - 1807 - 684 pages
...exact as to mention the precise day when he found, " that the squares of the periodic times were always in the same proportion as the cubes of their mean distances from the sun." When Kepler saw, according to better observations, that his disposition of the five regular solids... | |
| Thomas Kerigan - 1828 - 776 pages
...To find the mean Distance of a Planet from the Sun. RULE. squares of their periodical times will be to each other in the same proportion as the cub.es of their mean distances from the central body ; and hence the following rule : — As the square of the earth's periodical or annual... | |
| Essays - 1828 - 368 pages
...more bodies move round another as their center of motion, the squares of their periodic times will be to each other in the same proportion, as the cubes of their distances from the central body. This holds precisely, with regard to the planets round the Sun, and... | |
| sir John Frederick W. Herschel (1st bart.) - 1833 - 500 pages
...real law of their connection. This connection is expressed in the following proposition : — " The squares of the periodic times of any two planets are...as the cubes of their mean distances from the sun." Take, for example, the earth and Mars*, whose periods are in the proportion of 3652564 to 6869796,... | |
| Sir John Frederick William Herschel - 1833 - 444 pages
...real law of their connection. This connection is expressed in the following proposition: — " The squares of the periodic times of any two planets are...as the cubes of their mean distances from the sun." Take, for example, the earth and Mars*, whose periods are in the proportion of 3652564 to 6869796,... | |
| 1834 - 578 pages
...respect to the motions of the sun and moon. 3. The square* of the mean periodic times of different planets are to each other in the same proportion as the cubes of tha axis major of their respective orbits. For instance, if the axis major of Mercury's orbit be supposed... | |
| 1834 - 574 pages
...respect to the motions of the sun and moon. 3. The squares of the mean periodic times of different planets are to each other in the same proportion as the cubes of the axis major of their respective orbits. For instance, if the axis major of Mercury's orbit be supposed... | |
| Lord Alexander Fraser Tytler Woodhouselee - 1835 - 364 pages
...he found the great law that regulates the planets, that the squares of their periodical times were in the same proportion as the cubes of their mean distances from the sun. The age of Kepler and Galileo was the era of great discoveries in the arts and sciences. The invention... | |
| John Frederick William Herschel - 1835 - 414 pages
...the real law of their connexion. This connexion Is expressed in the following proposition : — " The squares of the periodic times of any two planets are to each pther, in the same proportion as the cubes of their mcnn distances from the sun." Take, for example,... | |
| Thomas Kerigan - 1838 - 804 pages
...body as their common centre of motion, the squares of their periodical times of revolution will be to each other, in the same proportion, as the cubes of their distances from the central body. — See Problem XXXVf, page 745. Now, let the earth be at rest, and... | |
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