Unity of Purpose, Or Rational Analysis: Being An Exposition of the ...

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Unity of Purpose, Or Rational Analysis: Being An Exposition of the ...
Augustus Young
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Kepler's first great law of planetary motion, viz : '^ That the squares of the periods of the planets are as the cubes of their mean distances from the snn," is fall of instruction ; as thereby we are enabled to compute their relative distances from the sun, and also Hieir relative bulks or magnitudes compared wiUi each other ; as also the relative powers of attraction of the primary planets hav* ing satellites, m proportion to the bulks of those planets ; by which we ascertain the fact, that t
...he relative powers of attraction of the primary planets for their respective satellites in proportion to their bulks, are proportioned to each other in the inverse ratio of their relative distances from the sun : that is, their relative bulks multiplied by the inverse of their relative dbtancesfrom the sun, gives their relative powers of attraction. Let us then seek fov the cause why the attractive powers of the planets in proportion to their bulks or magnitudes, vary inversely as their distances vary from the sun ; and endeavor to ascertain from analogies in nature or otherwise, whether the cause may not be rationally re- ferred to some general law of nature coextensive with the universe, which may be mathematically assigned and computed, — as in case of Kepler's great law of planetary motions, viz : that the squares of the periods of the planets are as the cubes of their mean distances firom the sun.

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