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" ... the squares of the periodic times of the planets are proportional to the cubes of their mean distances from the sun. "
On the Connexion of the Physical Sciences - Page 432
by Mary Somerville - 1835 - 493 pages
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Appleton's New Practical Cyclopedia: A New Work of Reference Based ..., Volume 3

Marcus Benjamin, Arthur Elmore Bostwick, Gerald Van Casteel, George Jotham Hagar - 1910 - 546 pages
...published his " Harmonies of the World," memorable as containing the third of his celebrated laws, viz., that the squares of the periodic times of the planets...the cubes of their mean distances from the sun. The Rudolphine tables were published, 1027. In 1629 he removed to Sagan in Silesia, and soon afterwards...
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A History of Science, Volume 10

Henry Smith Williams - 1910 - 248 pages
...described by their radii vectores in equal times are equal; (3) The squares of their periodic times are proportional to the cubes of their mean distances from the sun. Khamurabi, (Hammurabi), Code of i, 76. King of Babylon about 2000 BC He instituted a code of laws older...
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The Wonders of Science in Modern Life, Volume 10

Henry Smith Williams - 1912 - 232 pages
...described by their radii veetores in equal times are equal; (3) The squares of their periodic times are proportional to the cubes of their mean distances from the sun. Keyes, Prof. Charles R. Born at Des Moines, Iowa, Dec. 24, 1864. Geologist. Has made important studies...
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The Catholic Encyclopedia: An International Work of Reference on ..., Volume 2

1913 - 884 pages
...sweeps out equal areas in equal times; (3) that the squares of the planetary periods are severally proportional to the cubes of their mean distances from the sun. The geometrical plan of movement in the solar system was thus laid down with marvellous intuition. But...
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The Call of the Stars: A Popular Introduction to a Knowledge of the Starry Skies

John Robert Kippax - 1914 - 544 pages
...1619) is, that the squares of the periods or times of revolution of the different planets about the Sun are proportional to the cubes of their mean distances from the Sun. By way of illustration, suppose the period or time of revolution of one planet is eight times as long...
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An Introduction to Astronomy

Forest Ray Moulton - 1916 - 644 pages
...at one of its foci. FIo. 86. — Johann Kepler. III. The squares of the periods of any two planete .are proportional to the cubes of their mean distances from the sun. All the complexities of the apparent motions of the planets are explained by Kepler's three simple...
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A Short History of Science

William Thompson Sedgwick, Harry Walter Tyler - 1917 - 526 pages
...: — The squares of the times of revolution of any two planets (including the earth) about the sun are proportional to the cubes of their mean distances from the sun. In his delight he exclaims 'Nothing holds me, I will indulge in my sacred fury ; I will triumph over...
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General Astronomy

Harold Spencer Jones - 1922 - 458 pages
...equal areas in equal times. 3. The squares of the periods in which the planets describe their orbits are proportional to the cubes of their mean distances from the Sun. It will be seen that the first two laws deal with the motion of any one planet. The third gives a relationship...
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General Astronomy

Harold Spencer Jones - 1923 - 462 pages
...equal areas in equal times. 3. The squares of the periods in which the planets describe their orbits are proportional to the cubes of their mean distances from the Sun. It will be seen that the first two laws deal with the motion of any one planet. The third gives a relationship...
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An Intermediate Logic

James Welton, Alexander James Monahan - 1923 - 580 pages
...equal times ; and that the squares of the number of days taken by the planets to complete a revolution are proportional to the cubes of their mean distances from the sun. But so far no reason had been given why the empirical laws of falling bodies and of planetary motion...
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