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الكتب الكتب 1 - 8 من 8 في... increased or diminished in the ratio of the same length to the radius of the....
" ... increased or diminished in the ratio of the same length to the radius of the circle; that is, as the square of that length applied to the radius; and therefore the polygon, by having its sides diminished in infinitum, coincides with the circle, as... "
The mathematical principles of natural philosophy - الصفحة 47
بواسطة Sir Isaac Newton, William Davis, William Emerson, John Machin - 1803
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Encyclopædia Britannica: Or, A Dictionary of Arts ..., المجلد 13،الجزء 1

Colin Macfarquhar, George Gleig - 1797
...defcribed in a given t;me applied to the radius. This is the centrifugil force, with which the bo.ly impels the circle ; and to which the contrary force,...continually repels the body towards the centre, is eqiiñl. On thef; "principles hang* the whole of Sir Ifaac Newton's mathematical philofophy. He now...
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Encyclopaedia Perthensis, Or Universal Dictionary of the Arts ..., المجلد 16

1816
...having its fides dimi nifhcd in infnitum, coincides with the circle, as th< fquare of the arc defcribed in a given time applied to the radius. This is the...force, with which the body impels the circle ; and to whic'a the contrary force, wherewith the circle continually repels the body towards the centre, is...
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The London encyclopaedia, or, Universal dictionary of science, art ...

Thomas Curtis (of Grove house sch, Islington)
...having its sides diminished in infinitum, coincides with the circle, as the square of the arc described in a given time applied to the radius. This is the...continually repels the body towards the centre, is equal. On these principles bangs the whole of Sir Isaac Newton's mathematical philosophy. He now shows how...
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Commentaries on the Principia of sir Isaac Newton respecting his theory ...

Joseph Denison - 1846
...truly stated that the centrifugal force is equal to the centripetal force. " This," says Newton, " is the centrifugal force, with which the body impels...continually repels the body towards the centre, is equal." Now I have shown, in Chapter I. of these Commentaries, that the centrifugal force is equal to the planet's...
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The Monist, المجلد 24

Paul Carus - 1914
...having its sides diminished in infinitum, coincides with the circle, as the square of the arc described in a given time applied to the radius. This is the...the circle continually repels the body towards the center, is equal." I cannot see38 any grounds for supposing that Newton, in these early investigations,...
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Absolute Or Relative Motion?: Volume 1, The Discovery of Dynamics: A Study ...

Julian B. Barbour - 1989 - عدد الصفحات: 768
...centrifugal force (it derives from the Waste Book work we are about to describe) with these words:34 "This is the centrifugal force, with which the body...continually repels the body towards the centre, is equal.' The absence of such a statement in the Waste Book at the corresponding place in the proof suggests...
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General And Applied Mechanics

Aleksandr I︠U︡lʹevich Ishlinskiĭ, ISHLINSKY - 1989 - عدد الصفحات: 304
...having its sides diminished ad infinitum, coincides with the circle, as the square of the arc described in a given time applied to the radius. This is the centrifugal force.5 with which the body impels the circle; and to which the contrary force, wherewith the circle...
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The Cambridge Companion to Newton

Smith - 2002 - عدد الصفحات: 500
...revised 1713 and 1726 Principia: Scholium. This is the centrifugal force, with which the body impells the circle: and to which the contrary force, wherewith...the circle continually repels the body towards the center, is equal.22 It has been argued that in the 1664 version Newton held the opinion that the outward...
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