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 91
C, given in position, cutone another in a finite angle A, and ordinates BD, CE bedrawn, inclined at another finite angle to that straight line,and meeting the curve in B, C; then, if the points B, Cmove up together to the point A, the areas of the curvilineartriangles ABD, ACE, will be ultimately… … and let the ordinates db, ec be drawn parallel to DB,EG meeting the chords AB, AC produced in b, c. Then, [since Ab : AB :: Ad : AD :: Ae : AE :: Ac : AC,and therefore Ab : Ac :: AB : AC,} a curve Abe can be supposed to be drawn always similarto ABC, while B and C move up to A. Let the straight…
Mechanics · Celestial mechanics
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