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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 81

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 81
indifferentlyfor one another. Observations on the Lemma. 40. If RB throughout the change in the hypothesis make afinite angle with BA, the three triangles rAh, rAch, rAd will 62 KEWTON. remain always finite, and will be ultimately identical and equal.But, if the angle ABB be ultimately not finite,… … to dealing with these infinite triangles, as to reasoning im->mediately upon the relation of the triangles BAB^ BAD inthe former case. In this case we can at once deduce the equality of the tri-*angles without producing AD to a point g? at a finite distance.For, the ratio of the difference of…

Mechanics · Celestial mechanics

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