An exposition of the nature, force, action, and other properties of gravitation on the planets [by J. Denison].Whittaker and Company, Ave Maria Lane, 1842 - 40 pages |
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Page 15
... force on the nearer planet c . Hence the action of gravity at B , to that at c , is as Bs to cs ; that is , it is directly as the distances . Hence the total force of gravitation at в and c respectively ( that is , the force and its ...
... force on the nearer planet c . Hence the action of gravity at B , to that at c , is as Bs to cs ; that is , it is directly as the distances . Hence the total force of gravitation at в and c respectively ( that is , the force and its ...
Page 16
... 4 of the distance c c ; but is the square root of , wherefore the action at c to the force at c is as cs to cs . The same will be the result whatever be the ratio of the forces . Hence the total force , that is , the force 16.
... 4 of the distance c c ; but is the square root of , wherefore the action at c to the force at c is as cs to cs . The same will be the result whatever be the ratio of the forces . Hence the total force , that is , the force 16.
Page 17
Joseph Denison. Hence the total force , that is , the force of gravity and its action at c , is as BS × C • And in the same manner it may be shown that the total force at B , is as c s × B s3 . S Wherefore , if F represents the total ...
Joseph Denison. Hence the total force , that is , the force of gravity and its action at c , is as BS × C • And in the same manner it may be shown that the total force at B , is as c s × B s3 . S Wherefore , if F represents the total ...
Page 18
... total force of the Sun's gravitation upon a planet , or the centri- petal force of a planet , e . g . of the Earth , we may consider the earth's orbit as being per- fectly circular instead of being elliptical . In E B this case the ...
... total force of the Sun's gravitation upon a planet , or the centri- petal force of a planet , e . g . of the Earth , we may consider the earth's orbit as being per- fectly circular instead of being elliptical . In E B this case the ...
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An Exposition of the Nature, Force, Action, and Other Properties of ... Joseph Denison No preview available - 2016 |
Common terms and phrases
action an excess action of gravitation actual centripetal force altitudes analogies are conformable ANALOGY FOR DETERMINING Author AVE MARIA B S does represent cause B S centre centri composition cone cube cube-roots D¹³ DETERMINING THE DISTANCES discovered by Kepler distance Cc Earth Earth's gravitation Earth's surface EFFICIENT CAUSES ellipse equal constant forces EXPOSITION famous analogy discovered force of gravitation forces are inversely GILBERT & RIVINGTON greater action greater force inverse ratios John's Square Jupiter Kepler's analogy mean distances mean velocities miles per diem Moon Moon's actual centripetal Moon's continually netic orbit planets are inversely PROPERTIES OF GRAVITATION ratio of B S received hypothesis represent the greater revolution round right angles right line E B satellites Saturn square root ofto stant forces Sun's gravitation total force trace these analogies uniform motions velocities and periodic wherefore by equality wherefore the force
Popular passages
Page 7 - The cubes of the mean distances of the planets from the sun are proportional to the squares of their times of revolution.
Page 2 - ... the squares of the periodic times are as the cubes of the distances from the common centre, the centripetal forces will be inversely as the squares of the distances.
Page 8 - A new Analogy for determining the distances of the Planets from the Sun, and of the Satellites from their Primaries.
Page 20 - In experimental philosophy, propositions collected from the phznomena by induction are to be deemed (notwithstanding contrary hypotheses) either exactly or very nearly true, till other phznomena occur, by which they may be rendered either more accurate, or liable to exception.
Page 1 - Author has propounded two new analogies, viz. that the velocities of the planets in their orbits are inversely as the square roots of their distances from the Sun...
Page 20 - ... position of the stars with respect to these points and circles, as also the phenomena occurring in the sphere of the Heavens. 2. Theoretical Astronomy, which enables us to determine from observation the true paths of the heavenly bodies, particularly of the planets. 3. Physical Astronomy, which gives the laws by which the motions of the heavenly bodies are regulated, shows how these motions are to be calculated according to the rules of mechanics, and finally combines all that is known up to...