 | W. Smyth - 1859 - 250 pages
...the sun in one of their foci. 3°. The squares of the times of the revolutions of the planets about the sun, are proportional to the cubes of their mean distances from the sun. 184. From these laws, derived from observation, Newton deduced the law of universal gravitation.... | |
 | P. McGregor - 1862 - 498 pages
...Sun, that of any other planet from the Sun is readily ascertained from the law that the squares of the times of their revolutions round the Sun, are proportional to the cubes of their mean distances, a law which is a necessary consequence of those of motion and gravitation. The distance and apparent... | |
 | William Holms Chambers Bartlett - 1866 - 520 pages
...one of its foci in the surfs centre. III. That the squares of the periodic times of the planets about the sun, are proportional to the cubes of their mean distances from that body. These are called the laws of Kepler, and lead directly to a knowledge of the nature of the... | |
 | 1867 - 878 pages
...his remarks on the Third Law of Kepler, namely, that the squares of the times of planetary revolution round the sun are proportional to the cubes of their mean distances from that central luminary, Sir J. Ilerschel has the following pertinent observations. " Of all the laws... | |
 | Asa Smith - 1868 - 86 pages
...is the third law ? A. It is that the squares of the times of the revolutions of the planets around the sun, are proportional to the cubes of their mean distances from the sun. THE MEAN AND THUE PLACE OF A PLANET. Q. What is the mean place of«the earth, or a planet... | |
 | Charles Kendall, rev. Henry Kendall - 1871 - 336 pages
...equal areas in equal times, and the third that 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. The shadow of eclipse first stains the bright disk of sun or moon at the appointed moment... | |
 | Joel Dorman Steele - 1876 - 348 pages
...triumphed, and he reached the third law — THE SQUARES OP THE TIMES OF REVOLUTION OF THE PLANETS ABOUT THE SUN, ARE PROPORTIONAL TO THE CUBES OF THEIR MEAN DISTANCES FROM THE SUN.* In rapture over the discovery of these three laws, so marked by that divine simplicity which... | |
 | Arthur K. Bartlett - 1881 - 76 pages
...EQUAL AREAS IN EQUAL TIMES. Third, — THE SQUARES OF THE PERIODS OF REVOLUTION OF THE PLANETS AROUND THE SUN, ARE PROPORTIONAL TO THE CUBES OF THEIR MEAN DISTANCES FROM THE SUN. These three laws are the foundation of our astronomical knowledge, and form one of the most... | |
 | Frederick Hungerford Bowman - 1882 - 352 pages
...passed over in equal times. (3.) The squares of the periodic times of the revolutions of the planets round the sun are proportional to the cubes of their mean distances, so that if the squares of the mean times are divided by the cubes of the mean distances, the quotient... | |
 | Benjamin Adams Hathaway - 1883 - 134 pages
...areas in equal portions of time (3) The squares of the times it takes the planets to revolve around the sun are proportional to the cubes of their mean distances from the sun. 33. What is a radius vector? A line drawn from the sun to a planet. 34. Define- aphelion.... | |
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Kepler also deduced from observation, that the squares of the periodic times of the planets, or the times of their revolutions round the sun, are proportional to the cubes of their mean distances from... 
