Inside Out Library · Explore

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 80

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 80
th the arc ACB, thechord AB, and the tangent AD, the three trianglesRA CB, RAB and RAI), and the points A, B approachone another; then the tdtimate form of the vanishingtriangles is one of similitude, and the ultimate ratio oneof equality. For, whilst the point B is approaching the point A, letAB,… … Then, when the points B, A coincide, the angle JJ-Jwillvanish, and therefore the three triangles rAh, rAch,rAd will coincide, and will therefore in that case besimilar and equal. Hence also RAB, RA CB, RADjwhich are always similar and proportional to these,will be ultimately similar and equal to…

Mechanics · Celestial mechanics

Internet Archive · Boston Library Consortium · Public Domain Mark 1.0. Free to use for anything.

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

More like this