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" The squares of the periods of revolution of the planets about the sun vary as the cubes of their mean distances. "
Advanced Algebra - Page 107
by William Charles Brenke - 1917 - 196 pages
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Of Motion: An Elementary Treatise

John Robert Lunn - Acceleration (Mechanics) - 1859 - 152 pages
...and the Sun in all equal intervals of time are equal. (iij) That the squares of the periods of any of the planets about the Sun vary as the cubes of their mean distances from it. 126. From the second of these laws we have the sectorial area swept out in any time cc time...
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Elements of Algebra

Wooster Woodruff Beman, David Eugene Smith - Algebra - 1900 - 500 pages
...receive half as much light ? 13. Kepler showed that the squares of the numbers representing the times of revolution of the planets about the sun vary as the cubes of the numbers representing their distances from the sun. Mars being 1.52369 as far as the earth from...
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Academic Algebra

Wooster Woodruff Beman, David Eugene Smith - Algebra - 1902 - 408 pages
...receive half as much light ? 13. Kepler showed that the squares of the numbers representing the times of revolution of the planets about the sun vary as the cubes of the numbers representing their distances from the sun. Mars being 1.52369 as far as the earth from...
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A Text-book on Advanced Algebra and Trigonometry, with Tables

William Charles Brenke - Algebra - 1910 - 376 pages
...brightness, at how many times its present distance would it be of the same brightness as the full moon? 28. The squares of the periods of revolution of the planets...12 years. Find their mean distances from the sun. 29. In beams of the same width and thickness the deflection due to a central load varies jointly as...
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Plane Geometry: I. Abridged and Applied. II. College Preparatory

Matilda Auerbach, Charles Burton Walsh - Geometry, Plane - 1920 - 408 pages
...electric light arid 37 feet from the same light. 1421. Kepler proved that the squares of the times of revolution of the planets about the sun vary as the cubes of their distances from the sun. The earth is 93,000,000 miles from the sun, and makes a revolution in approximately...
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College Algebra

Arthur McCracken Harding, George Walker Mullins - Algebra - 1928 - 344 pages
...falling. If the body falls 16.1 feet the first second, how many feet will it fall in 4 seconds? 19. The squares of the periods of revolution of the planets about the Sun are proportional to the cubes of their distances from the Sun. If it takes Mars 687 days to go around...
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A-level Physics

Roger Muncaster - Juvenile Nonfiction - 1993 - 964 pages
...such a way that the (imaginary) line joining it to the Sun sweeps out equal areas in equal times. 3 The squares of the periods of revolution of the planets about the Sun are proportional to the cubes of their mean distances from it. Fig. 8.1 illustrates law 2 but gives...
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Mathematics From the Birth of Numbers

Jan Gullberg - Mathematics - 1997 - 1148 pages
...A radius vector joining any planet to the Sun sweeps out equal areas in equal periods of time. 3 . The squares of the periods of revolution of the planets about the Sun are directly proportional to the cubes of their mean distances from the Sun (the major semi-axes of...
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Queen's Quarterly, Volume 23

Electronic journals - 1916 - 566 pages
...line joining the sun to the planet moves over equal areas in equal intervals of time, and (3) that the squares of the periods of revolution of the planets...the sun vary as the cubes of their mean distances from the sun. The year after the death of Galileo there was born a diminutive child who was destined...
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