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" ... force of attraction to vary directly as the quantity of matter, and inversely as the square of the distance, at what point between them will a third body be equally attracted by the earth and moon ? Ans. "
A Treatise on Algebra - Page 371
by Elias Loomis - 1873 - 360 pages
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Philosophia Britannica: Or, A New & Comprehensive System of the Newtonian ...

Benjamin Martin - Science - 1747 - 398 pages
...acting oa the fingle Particle A ; fince then each fingle Particle AGAIN : Since the Attraction is always directly as the Quantity of Matter, and inversely as the Square of the Diftance, it follows, that were the internal Parts of the Earth a perfedt Void, or hollow Concavity,...
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Ferguson's Lectures on Select Subjects, in Mechanics, Hydrostatics ...

James Ferguson - Astronomy - 1814 - 420 pages
...and on the distance of the body which is acted upon. The force of gravity, therefore, is said to be directly as the quantity of matter, and inversely as the square of the distance. As these expressions occur frequently in the course of this work, it will be useful to the...
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Letters from Dr. James Gregory of Edinburgh: In Defence of His Essay on the ...

James Gregory - Necessity (Philosophy) - 1819 - 454 pages
...Newton's Principia, and inform us, that this great and immortal philosopher proved that attraction is directly, as the quantity of matter, and inversely as the square of the distance—Then by the help of a diagram and some algebraic formulae of his own invention, he might...
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Lectures on Select Subjects in Mechanics, Hydrostatics, Hydraulics ..., Volume 1

James Ferguson - Eclipses - 1823 - 406 pages
...distance of the body upon which that force is exerted. The force of gravity, therefore, is said to be directly as the quantity of matter, and inversely as the square of the distance. As these expression! occur frequently in the course of this work, it will be useful to the...
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Library for the people. (Division 1). The wonders of nature and art ..., Issue 2

Library - 1827 - 712 pages
...tends toward the central body, C, is called a centripetal force ; and in the case of gravitation, it is directly as the quantity of matter, and inversely as the square of the distance. The force by which the revolving body, B, tends to move along the line, i,/,is called a centrifugal...
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Natural Theology: Or, Essays on the Existence of Deity and of ..., Volume 1

Alexander Crombie - Future life - 1829 - 652 pages
...Thus we speak of the law of gravitation, of reflection, of acceleration, and say, that attraction is directly as the quantity of matter, and inversely as the square of the distance, — that rays of light are reflected, making the angle of incidence equal to the angle of...
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Elements of Chemistry: In the Order of the Lectures Given in Yale ..., Volume 1

Benjamin Silliman - Chemistry - 1830 - 540 pages
...constitution of things ; and is as truly a law of the physical universe, as that its gravitation is directly as the quantity of matter, and inversely as the square of. the distance. then the numerical relations would not be in the least disturbed, only the numbers expressing...
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Elements of Chemistry: In which the Recent Discoveries in the Science are ...

John Lee Comstock - Chemistry - 1831 - 368 pages
...cause of their weight, or tendency to approach the centre of the earth. The force of gravitation is directly as the quantity of matter, and inversely as the square of the distance. The quantity of matter being given, and the attracting force at a certain distance, say four...
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Discourses on Various Subjects Relative to the Being and ..., Volume 2

Adam Clarke - God - 1831 - 334 pages
...by Sir Isaac Newton, as the necessary result of a still more general law, viz. that gravitation is directly as the quantity of matter, and inversely as the square of the distance. Thus, if the distance of but one planet from the sun be known, and the periodic revolutions...
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Elements of Chemistry: In which the Recent Discoveries in the Science are ...

John Lee Comstock - Chemistry - 1831 - 366 pages
...cause of their weight, or tendency to approach the centre of the earth. The force of gravitation is directly as the quantity of matter, and inversely as the square of the distance. The quantity of matter being given, and the attracting force at a certain distance, say four...
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