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" The earth acts on anybody with a gravitational force inversely proportional to the square of the distance of the body from the centre of the earth. "
New Series of The Mathematical Repository - Side 84
av Thomas Leybourn - 1814
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Reports and Papers on Botany: Consisting of I. Mohl on the structure of the ...

1849 - 560 sider
...with regard to the force of attraction, that the intensity with which it acts upon a body is inversely proportional to the square of the distance of the body from the centre of attraction. But has this law been shown to exist in the case of other forces ? Does it apply...
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A Treatise on Astronomy

Elias Loomis - 1866 - 384 sider
...almost parabolic orbits of the .comets, prove that, for each planet and comet, this force is inversely proportional to the square of the distance of the body from the sun ; and from the law of the proportionality of the squares of the times of revolution to the cubes...
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Elements of the Differential Calculus: With Examples and Applications

William Elwood Byerly - 1891 - 312 sider
...we do in dealing with small distances near the surface of the earth, but must take it as inversely proportional to the square of the distance of the body from the centre of the earth. Let R be the radius of the earth ; r0 the distance from the centre of the earth...
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Elements of the Integral Calculus: With a Key to the Solution of ...

William Elwood Byerly - 1895 - 298 sider
...we do in dealing with small distances near the surface of the earth, but must take it as inversely proportional to the square of the distance of the body from the centre of the earth. Let R be the radius of the earth; r 0 the distance from the centre of the earth...
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A Short History of Astronomy

Arthur Berry - 1899 - 578 sider
...action on the planets, that is that the acceleration produced by the earth on any body is inversely proportional to the square of the distance of the body from the centre of the earth. It may be noticed that a difficulty arises here which did not present itself in...
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A Treatise on Elementary Dynamics: Dealing with Relative Motion Mainly in ...

Herbert Ainslie Roberts - 1900 - 282 sider
...the earth's centre, and that the acceleration of a body due to the gravity of the earth is inversely proportional to the square of the distance of the body from the earth's centre, prove that the acceleration of the moon relative to the earth's centre is very nearly...
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A Treatise on Chemistry Dynamics ...

Herbert Ainslie Roberts - 1900 - 286 sider
...the earth's centre, and that the acceleration of a body due to the gravity of the earth is inversely proportional to the square of the distance of the body from the earth's centre, prove that the acceleration of the moon relative to the earth's centre is very nearly...
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The Mechanics Problem Solver: A Complete Solution Guide to Any Textbook

Research and Education Association - 1995 - 1098 sider
...mg =4.9 Newton's. • PROBLEM 15-5 The earth acts on any body with a gravitational force inversely proportional to the square of the distance of the body from the center of the earth. Calculate the escape velocity from the earth, ie, the speed with which a vertically...
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A-level Physics

Roger Muncaster - 1993 - 964 sider
...force which is directed towards the Sun. He was able to show Fig. 8.1 that if this force is inversely proportional to the square of the distance of the body from the Sun, then the body must move along a path which is a conic section (ie elliptical, circular, parabolic...
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Understanding the Universe: An Introduction to Physics and Astrophysics

James B. Seaborn - 1998 - 324 sider
...law, meaning that the gravitational force the earth exerts on a body outside the earth is inversely proportional to the square of the distance of the body from the center of the earth. On recognizing that it is the earth's gravity that holds the moon in orbit around...
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