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" ... the squares of the times of revolution of the planets about the sun are proportional to the cubes of their mean distances from the sun. "
Popular cyclopaedia of natural science (by W.B. Carpenter). - Page 463
by William Benjamin Carpenter - 1843
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Practical Arithmetic, for Senior Classes

Henry G. C. Smith - Arithmetic - 1882 - 250 pages
...find that of Venus, whose volume is .953 of that of the Earth. Kepler's Third Law : — the SQUARES OF THE TIMES in which the planets revolve round the sun are proportional to the CUBES OP THEIR MEAN DISTANCES from the SUn. 45. The periodic time of the Earth is 365.256 da., and of Venus...
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The Intermediate Text-book of Physical Science

Frederick Hungerford Bowman - Physics - 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...
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1001 Questions and Answers on Geography

Benjamin Adams Hathaway - Geography - 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. It is...
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The Story of the Stars: A Descriptive Astronomy

Joel Dorman Steele - Astronomy - 1884 - 352 pages
...and he reached (1018) the third law — The squares of 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...
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Home Culture: A Self-instructor and Aid to Social Hours at Home, Comprising ...

Thomas Hunter - Home schooling - 1884 - 670 pages
...passes over equal spaces in equal times. (3) The squares of the times of revolution of the planets about the Sun are proportional to the cubes of their mean distances from the sun (1571-1630). 4. He discovered the law of the pendulum and of falling bodies, and constructed a...
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Celestial Motions: A Handy Book of Astronomy

William Thynne Lynn - Astronomy - 1889 - 164 pages
...proportional to the time of sweeping ; the third that the squares of the periodic times of their revolutions round the Sun are proportional to the cubes of their mean distances from him. The first two of these laws were shown by Newton to be necessary consequences of their being attracted...
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Differential and Integral Calculus: With Applications

Sir George Greenhill - Calculus - 1891 - 494 pages
...in equal times. The third law of Kepler — (iii.) the squares of the periodic times of the planets round the Sun are proportional to the cubes of their mean distances — was easily inferred by arithmetical calculation, when once the distances of the planets from the...
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Pushing to the Front: Or, Success Under Difficulties; a Book of Inspiration ...

Orison Swett Marden - Conduct of life - 1894 - 480 pages
...over equal spaces in equal times, and that the squares of the times of revolution of the planets about the sun are proportional to the cubes of their mean distances from the sun. This boy with no chance became one of the world's greatest astronomers. "When 1 found that I was...
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The Complete Compendium of Universal Knowledge: Containing All You Want to ...

William Ralston Balch - Encyclopedias and dictionaries - 1895 - 836 pages
...equal times." The third law is, that " The squares of ike times of revolution of the planets about the sun are proportional to the cubes of their mean distances from the sun." Galileo was contemporary with Kepler. He discovered the laws of the pendulum and of falling bodies....
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Pushing to the Front, Or, Success Under Difficulties: A Book of Inspiration ...

Orison Swett Marden - 1896 - 490 pages
...over equal spaces in equal times, and that the squares of the times of revolution of the planets about the sun are proportional to the cubes of their mean distances from the sun. This boy with no chance became one of the world's greatest astronomers. "When 1 found that I was...
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