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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 82

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 82
n in position, cutone another in a finite angle A, and ordinates BD, CE bsdraivn, inclined at another finite angle to that straightline, and meeting the curve in B, C; then, if the pointeB, C move up together to the poird A, the areas of thecurvilinear triangles ABD, A CE ivill he ultimately to… … let the ordinates dh, ec be drawn parallel to DB,EC meeting the chords AB, A C produced in I, c. Then [since Ah : AB w Ad \ AD \: Ae : AE -.: Ac \ AC,and therefore Ab : Ac :: AB : AC_\ ei curve Abe canbe supposed to be drawn always similar to ABC,while B and C move up to A. Lei the straight line Jg…

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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