 | 1839 - 518 páginas
...constitute two of the three celebrated truths known by the name of Kepler's laws. The third, viz. that the squares of the periodic times are proportional to the cubes of the mean distances from the sun, was not discovered till twelve years after, although, before the publication... | |
 | William Augustus Norton - 1839 - 530 páginas
...of which the sun occupies one of the foci. 3. The squares of the times of revolution of the planets are proportional to the cubes of their mean distances from the sun, or of the semi-major axes of their orbits. These laws are known by the denomination of Kepler's Laws.... | |
 | John Hymers - 1840 - 386 páginas
...plane proportional to the time. (2) The orbits are ellipses having the Sun in one of their foci. (3) The squares of the periodic times are proportional to the cubes of the mean distances from the Sun. The first shews that the force which acts on the bodies tends always... | |
 | Roswell Park - 1841 - 722 páginas
...the sun, pass over equal areas in equal times; and 3. The squares of their times of annual revolution are proportional to the cubes of their mean distances from the sun. By the second law, the planets move slowest when farthest from the sun ; as the radius vector, being... | |
 | Cambridge univ, exam. papers - 1843 - 50 páginas
...revolve in ellipses round the same centre of force varying inversely as the square of the distance, the squares of the periodic times are proportional to the cubes of the major axes of the orbits. 15. Define the terms " meridian," " terrestrial latitude and longitude,"... | |
 | Ezra Otis Kendall - 1845 - 408 páginas
...in making a revolution. Kepler discovered that the squares of the periodic times of any two planets are proportional to the cubes of their mean distances from the sun. Take, for example, the Earth and Mars, whose periods are 365.2504 and 686.9796 days, and whose distances... | |
 | Mary Somerville - 1846 - 506 páginas
...in hyperbolas, liko fig. 8. The third lav. is, that the squares of the periodic limes of the planets are proportional to the cubes of their mean distances from the sun. The square of a number Is that number multiplied by itself, and the cube of a numher is thai number twice... | |
 | Harvey Goodwin - 1846 - 500 páginas
...each planet about the sun are, in the same orbit, proportional to the time of describing them. III. The squares of the periodic times are proportional to the cubes of the major axes. It will be easily seen that these three laws follow at once from the hypothesis of... | |
 | Augustus Young - 1846 - 304 páginas
...of which the sun occupies one of the foci. 3. The squares of the times of revolution of the planets are proportional to the cubes of their mean distances from the sun, or of the semi-major axes of their orbits. And Mr. Norton says that " The first two Kepler assumed... | |
 | Mary Somerville - 1846 - 496 páginas
...hyperbolas, like fig. 8. The third law is, that the squares of the periodic times of the planets ore proportional to the cubes of their mean distances from the sun. The square of a number is that number multiplied by itself, and the cube of a nuraher is that number twice... | |
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The squares of the periods of revolution of any two planets are proportional to the cubes of their mean distances from the sun. 
