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" For, by the first of Kepler's laws, the areas described by the radius vector are proportional to the times, and when this is the case, by Art. "
A Treatise on Astronomy, Descriptive, Physical and Practical: Designed for ... - 80. lappuse
autors: Horatio Nelson Robinson - 1850 - 355 lapas
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Time's Telescope for ... ; Or, A Complete Guide to the Almanack

1817 - 494 lapas
...by the radius vector in a double time is double, and triple in a triple time, &c. Hence, in general, the areas described by the radius vector are proportional to the times employed in their description. 2d. As the products of the squares of two radii vectores, by. the angle...
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Encyclopaedia Britannica; Or A Dictionary of Arts, Sciences, and ..., 3. sējums

1823 - 894 lapas
...protakes in moving from S to A. Hence results that re-'1 markable law, first pointed out by Kepler, that the areas described by the radius vector are proportional to the times. Suppose the sun to describe SS' in one day, and SA in 20 days, then the area SES' is to the area SEA...
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The Glasgow Mechanics' Magazine; and Annals of Philosophy, 1. sējums

1824 - 492 lapas
...the laws of Kepler, gave the most complete evidence to the system of gravitation. Theirs* law, that the areas described by the radius vector are proportional to the times in which they are described, is the result of the motions produced by an original impulse impressed...
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An Elementary Treatise on Astronomy: Adapted to the Present Improved State ...

John Farrar - 1827 - 464 lapas
...Such is the variation in the angular motion of the sun. The fundamental law of this motion is that the areas described by the radius vector are proportional to the times. If the sun's orbit were circular and without eccentricity, equal areas would correspond to equal angles,...
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Popular Lectures on Astronomy: Delivered at the Royal Observatory of Paris

François Arago - 1848 - 108 lapas
...confine ourselves to an exposition of the consequences he deduced from Kepler's laws. From the law that the areas described by the radius vector are proportional to the times, Newton draws this conclusion, supported by calculation, that the force acting on the planète is directed...
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An Elementary Treatise on Mechanics ...

Isaac Wilber Jackson - 1852 - 202 lapas
...a primitive impulse,, and an accelerating force which constantly solicits it towards a fixed point, the areas described by the radius vector are proportional to the times employed in describing'- them. Conversely, when a material point, which describes about a fixed point...
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An Elementary Treatise on Mechanics

Isaac Wilber Jackson - 1854 - 224 lapas
...a primitive impulse, and an accelerating force which constantly solicits it towards a fixed point, the areas described by the radius vector are proportional to the times employed in describing them. Conversely, when a material point, which describes about a fixed point...
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An Elementary Treatise on Mechanics: Embracing the Theory of Statics and ...

Augustus William Smith - 1855 - 340 lapas
...planet describe® its orbit is directed to the center of the sun. For, by the first of Kepler's laws, the areas described by the radius vector are proportional to the times, and when this is the case, by Art. 351, the force must be directed to the point about which this equable...
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An Elementary Treatise on Mechanics: Embracing the Theory of Statics and ...

Augustus William Smith - 1855 - 368 lapas
...planet describes ite orbit is directed to the center of the sun. For, by the first of Kepler's laws, the areas described by the radius vector are proportional to the times, and when this is the case, by Art. 351, the force must be directed to the point about which this equable...
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A Treatise on Astronomy: Descriptive, Theoretical and Physical, Designed for ...

Horatio Nelson Robinson - 1859 - 424 lapas
...inversely as tie distance. 4. The areas described by tJie radius vector are proportional to the limes of description. (76.) We have several times mentioned,...sun moving round the earth, or the earth round the Bun; for, if the earth is in one position of the heavens, the * By making use of the 2d principle,...
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