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Newton's Principia, sections I, II, III, with notes and illustrations. Also a collection of problems (1863)

Newton, Isaac, Sir, 1642-1727, Frost, Percival, 1817-1898 · Cambridge, London, Macmillan and Co · leaf 216

An illustration from Newton's Principia, sections I, II, III, with notes and illustrations. Also a collection of problems, 1863, leaf 216
of the parallelograms of which the conjugate semi-diameters are sides, and that the axes bisect the anglesbetween the asymptotes. Resultant of any number of forces. 171. WTien a particle is acted on by any number of forces,which tend to different centers, and vary as the distance from thosecenters,… … Let G be the center of gravity of two particles at A and Bwhose masses are in the ratio of p, to ///, join PA, PB, PG. The components of the force //,. PA, in the directions PG,GA, are /A . PG and yu. . GA, and those of the force p!. PB, in thedirections PG, GB, are p . PG and y£. GB, but ^.GA=^.…

Mechanics · Celestial mechanics

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More pictures from Newton's Principia, sections I, II, III, with notes and illustrations. Also a collection of problems

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