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" The squares of the periods of the planets are proportional to the cubes of their mean distances from the sun ; that is, ti2 : k2 ,• ,• ai3 ,• (h3This is the so-called harmonic law. "
Encyclopedia of the Solar System - الصفحة 56
المحررون: - 2006 - عدد الصفحات: 992
معاينة محدودة - لمحة عن هذا الكتاب

The Transactions of the South African Philosophical Society, المجلدات 1-3

1880 - عدد الصفحات: 892
...of the laws of planetary motion, one of which says: — "The squares of the times of the revolutions of the planets are proportional to the cubes of their mean distances from the sun." That is to say, there is a fixed relation between the mean distances of the planets from the "m and...

The Sidereal Messenger of Galileo Galilei: And a Part of the Preface to ...

Galileo Galilei - 1880 - عدد الصفحات: 148
...considerations, however, Kepler was led to enunciate his third law, that the squares of the periodic times of planets are proportional to the cubes of their mean distances from the sun. — KEPUSR, Prodromtu Dissertationum Mathematicarum continens Mysterium Cosmograplacum, etc. (Tubingen,...

Publications of the Surtees Society, المجلد 1;المجلد 73

1880 - عدد الصفحات: 584
...JfyitrriH'n G>imograph'ufum, lie published his 3d Law, "that the squares of the planets' periods or years," are proportional to the cubes of their mean distances from the sun. From the second of these Law.-, it u inferred that the force acting on the planets is in every case...

Studies in Astronomy: Being a Lecture on the Science, Elaborated with ...

Arthur K. Bartlett - 1881 - عدد الصفحات: 76
...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 glorious...

Popular scientific recreations, tr. and enlarged from 'Les récréations ...

Gaston Tissandier - 1882 - عدد الصفحات: 830
...planet, this line will sweep over equal areas in equal times. 3. The squares of the periodic times of the planets are proportional to the cubes of their mean distances from the sun. Kepler also remarked that gravity was a power existing between all bodies, and reasoned upon the tides...

Rudimentary Astronomy

Robert Main - 1882 - عدد الصفحات: 268
...they describe round the sun equal areas in equal times, and that tho squares of their periodic times are proportional to the cubes of their mean distances from the sun. 206. They also suffer perturbations from their mutual action on each other according to the law of...

The Family Memoirs of the Rev. William Stukeley, M.D.: And the ..., المجلد 1

William Stukeley - 1882 - عدد الصفحات: 612
...Myttfriu'n (\iimiyrajiliii4im, he publinhed bis 3d Law, "that the squares of the planets' periods or years," are proportional to the cubes of their mean distances from the sun. Prom the second of these Laws, it it inferred that the force acting on the planets is in every сане...

Text-book of Popular Astronomy ...

William Guy Peck - 1883 - عدد الصفحات: 406
...its radius-vector sweeps over equal areas in equal times. 3°. The squares of the times of revolution of the pla'nets are proportional to the cubes of their mean distances from the sun. These three laws would be rigorously true if the planets were material points, but in consequence of...

The Great Inventions: Their History, from the Earliest Period to the Present ...

Franc Bangs Wilkie - 1883 - عدد الصفحات: 700
...equal areas in equal times ; and some years later, he discovered that the squares of the periodic times of the planets are proportional to the cubes of their mean distances from the sun. These are known as the three laws of Kepler; the last was discovered in May, 1618, and was regarded...

1001 Questions and Answers on Geography

Benjamin Adams Hathaway - 1883 - عدد الصفحات: 134
...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 that...




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