...perceived that the relation was as follows : — The squares of the times in which the planets revolve round the sun, are proportional to the cubes of their mean distances from the centre. This will be best explained by an example. The mean distance of Jupiter from the sun is almost...

...perceived that the relation was as follows:—The sgtiares of the times in which the planets revolve round the sun, are proportional to the cubes of their mean distances from the centre. This will be best explained by an example. The mean distance of Jupiter from the sun is almost...

...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...

...that the squares of the periodic times (N. 25) of the planets, or the times of their revolutions ^ound the sun, are proportional to the cubes of their mean distances from his center (N. 26). Hence the intensity of gravitation of all the bodies toward the sun is the same...

...the planets are ellipses, having the sun in one of their foci. 3rd The squares of the periodic times are proportional to the cubes of their mean distances from the sun. The secondary planets or satellites obey the same laws as the primary. They all move from west to east...

...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...

...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...

...observation, that the squares of the periodic times (N. 25) of the planets, or the times of their revolutions round the sun, are proportional to the cubes of their mean distances from its centre (N. 26). Hence the intensity of gravitation of all the bodies towards the sun is the same...

...conic sections. And Kepler, likewise, deduced, that the squares of the periodic times of the planets round the sun are proportional to the cubes of their mean distances from his centre. Hence the intensity of gravitation of all bodies towards the sun is the same at equal distances....

...areas proportional to the times. 3. That the squares of the periodic times of the earth and planets, are proportional to the cubes of their mean distances from the sun, or to the cubes of the semi-major axes of their orbits. These laws of the earth, and planets 86. Describe...