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Newton's principia, first book sections I, II, III, with notes and illustrations and a collection of problems, principally intended as examples of Newton's methods (1900)

Newton, Isaac, Sir, 1642-1727, Frost, Percival, 1817-1898 · London, Macmillan · leaf 230

An illustration from Newton's principia, first book sections I, II, III, with notes and illustrations and a collection of problems, principally intended as examples of Newton's methods, 1900, leaf 230
es through the hody; to findthe subsequent motion of the hody. Since the force varies as the distance, and is attractive, theorbit will be an ellipse. And, since the force is a finite force,the body will move in the same direction as before, at themoment of the change. Also, the velocity will, for… … Then V^=fi.CA.CA = [i.CA, and if 8, the new point towhich the force tends, be in CM, let AB be the ellipse described,8A will be one of the semi-axes of the ellipse, since A is an 212 NEWTON. apse, and, SB being the other, if a body revolved in this ellipseround 8, fj,. SB would be the square of the…

Mechanics · Celestial mechanics

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