 | Colin Macfarquhar, George Gleig - 1797 - 450 דפים
...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... | |
 | 1816 - 778 דפים
...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... | |
 | Thomas Curtis (of Grove house sch, Islington) - 438 דפים
...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... | |
 | Joseph Denison - 1846 - 106 דפים
...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... | |
 | Paul Carus - 1914 - 666 דפים
...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,... | |
 | Julian B. Barbour - 1988 - 784 דפים
...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... | |
 | Vladimir Zalmanovich Parton, Evgeniĭ Mikhaĭlovich Morozov - 1989 - 316 דפים
...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... | |
 | Julian B. Barbour - 2001 - 778 דפים
...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... | |
 | I. Bernard Cohen, George E. Smith - 2002 - 518 דפים
...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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... 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... 