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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 241

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 241
is constant. PEOP. XII. PEOBLEM VII. A lody is revolving in a hyperlola^ to find the law of forcetending to a focus of the figure. The investigation is exactly the same as in the lastproposition, employing the subjoined figure. Also, repulsive force from C oc CP, and by Prop. vii.Cor. 3, force from… … under the action of which the body describes theopposite branch of the hyperbola, varies inverselyas the square of the distance. PROP XIII. PEOBLEM VIII. A hody is moving in a parahola, to find the law of forcetending to the focus. Let S be the focus of the parabola, P the position othe body at any…

Mechanics · Celestial mechanics

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