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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 32

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 32
two straight lines^ which intersect at a given angle A^and BGj be be two positions of the line intersecting in P, whichbecome ultimately coincident^ find the limits of the ratios Cc : Bhand PC: PB. By hypothesis, BO^ = bc^, but BG = BA + GA^ - 2BA. GA cos A, and bc^ = bA^ ■{■cA^ — 2hA. cA cos A ;… … Draw GN^ jl51f perpendicular to AB, AG, therefore the limitjof the ratio Gc : Bb Is BN: CM. M NEWTON. Again, let BQ^ drawn parallel to AC, meet he in Q,then PCi PBw Cc :BQ;also Cc: Bb :: BN: CM ultimately,and Bh.BQ.-.Ah .Ac,.. Cc: BQ::BN.AB: CM.AGultlmsiiely. Biaw AR perpendicular to BC, then…

Mechanics · Celestial mechanics

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More pictures 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

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