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" Newton generalized the law of attraction into a statement that every particle of matter in the universe attracts every other particle with a force which varies directly as the product of their masses and inversely as the square of the distance between... "
The Fundamentals of Astronomy - Page 11
by Samuel Alfred Mitchell, Charles Greeley Abbot - 1927 - 307 pages
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Fourteen Weeks in Physics

Joel Dorman Steele - Physics - 1878 - 332 pages
...attracts every other particle, the force exerted between any two particles being directly proportional to the product of their masses, and inversely as the square of their distance apart. Fio. 28. Gravitation is the general term for the attraction that exists between...
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University extension scheme. [2 editions of E.J.C. Morton's introductory ...

Edward John C. Morton - 1880 - 58 pages
...Every particle of matter in the Universe attracts every other particle with a force varying directly as the product of their masses, and inversely as the square of the distance between them. 2. There are five steps in the proof of this Law. I. The inverse square is the...
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Electricity and magnetism

Augustin Privat-Deschanel - Physics - 1881 - 302 pages
...employed. It is well known that uniform spheres attract each other with a force which is directly as the product of their masses, and inversely as the square of the distance between their centres. If this law were made to furnish the unit of force, the dimensions...
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The Intermediate Text-book of Physical Science

Frederick Hungerford Bowman - Physics - 1882 - 352 pages
...as concentrated at its centre. The attraction of all bodies towards the earth will therefore vary as the product of their masses, and inversely as the square of the distance from the centre of the earth, so that the weight of any body upon the surface of the earth...
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Heroes of Science: Astronomers

Edward John Chalmers Morton - Astronomers - 1882 - 370 pages
...Every particle of matter in the universe attracts every other particle with a force varying directly as the product of their masses and inversely as the square of the distance between them." For a complete proof and verification of this law, even the mathematical methods...
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The Analyst, Volumes 1-4

Mathematics - 1874 - 834 pages
...points of all particles, the number of these equal forces applied between two particles, is directly as the product of their masses and inversely as the square of the distance between them, as a necessary consequence of their situation. • RJ Adcock." We embrace this...
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Our corner, ed. by A. Besant, Volume 6

Annie Besant - Free thought - 1885 - 464 pages
...other owing to the action of force, the strength of which between any two bodies increased directly as the product of their masses, and inversely as the square of the distance between them, some explanation of the force was made necessary, and Le Sage propounded his...
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Elements of Analytical Mechanics

Peter Smith Michie - Mechanics, Analytic - 1887 - 406 pages
...of matter in the universe attracts every other particle, with an intensity which varies directly as the product of their masses, and inversely as the square of the distance which separates them. Newton deduced this law from his investigations of the relative acceleration...
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Introduction to Physical Science

Alfred Payson Gage - Physics - 1888 - 380 pages
...to exist : — The attraction between every two bodies of matter in the universe varies directly as the product of their masses, and inversely as the square of the distance between their centers of gravity. Representing the masses of two bodies by m and m', the distance...
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A History of the Study of Mathematics at Cambridge

Walter William Rouse Ball - Mathematics - 1889 - 308 pages
...mathematics, London, 1888. universe attracts every other particle with a force which varies directly as the product of their masses and inversely as the square of the distance between them ; and he thence deduces the law of attraction for spherical shells of constant...
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