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" ... the centre, and by its distance from the same centre, is always independent of any mutual action which the bodies... "
Book I. Of the apparent motions of the celestial bodies. Book II. Of the ... - Page 365
by Pierre Simon marquis de Laplace - 1809 - 380 pages
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Encyclopaedia Britannica; Or A Dictionary of Arts, Sciences, and ..., Volume 13

1823 - 876 pages
...746, and published in the Memoirs of G 2 the < 174*History, the Academy for 1 747. He .shewed, that the sum of the *— • \ ' products of the mass of each body by the area which its radius vector descrij»es round a fixed point, is always proportional to the limes....
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Mechanism of the Heavens

Mary Somerville - 1831 - 720 pages
...from the equations (18), that if any plane passes through the centre of gravity of a system of bodies, the sum of the products of the mass of each body by its distance from that plane is zero. For, since the axes of the co-ordinates are arbitrary, any one...
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The Mechanic and Chemist: A Magazine of the Arts and Sciences, Volume 4

1839
...given in a memoir dated 1746, and published in the " Memoirs of the Academy for I7I7" He showed, that the sum of the products of the mass of each body by the area which its radius vector describes round a fixed point, is always proportional to the times. The...
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Encyclopædia metropolitana; or, Universal dictionary of knowledge ..., Volume 3

Encyclopaedia - 1845 - 902 pages
...two former, the principle consists in this: that in the motion of several bodies about a fixed axis, the sum of the products of the mass of each body, by the velocity of rotation round the centre, and by its distance from the same centre, is always independent...
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Mechanics for Beginners: With Numerous Examples

Isaac Todhunter - 1867 - 372 pages
...The product of the mass of a body into the square of its velocity is called the vis viva of the body. The vis viva of a system of bodies is the sum of the vis viva of every body of the system. In the higher parts of Dynamics the consideration of vis viva...
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Mechanics for beginners

Isaac Todhunter - 1867 - 368 pages
...The product of the mass of a body into the square of its velocity is called the vis viva of the body. The vis viva of a system of bodies is the sum of the vis viva of every body of the system. In the higher parts of Dynamics the consideration of vis viva...
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Laws of Physical Science: A Reference Book

Edwin Fitch Northrup - 1917 - 232 pages
...PRINCIPLE OF THE CONSERVATION OF AREAS (D'ARCY'S STATEMENT). According to d'Arcy, the principle states that the sum of the products of the mass of each body by the area which its radius vector describes about a fixed center on any plane of projection is always proportional...
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The London, Edinburgh and Dublin Philosophical Magazine and Journal of Science

1858 - 1142 pages
...function that answers, and that although the absolute velocities are continually changing through a cycle, the sum of the products of the mass of each body by the square of its respective absolute velocity, is a con stant quantity, and equal to the sum of the rectilineal and...
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American Quarterly Review, Volume 11

Robert Walsh - 1832 - 638 pages
...According to them, it consists in this : that in the motion of several bodies around a fixed axis, the sum of the products of the mass of each body by the Telocity of rotation around the centre, and by its distance from the same centre, is always independent...
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