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)
hat the area contained between the curve, the abscissa 0^and ordinate £C, is OA{BC-AO). 32 - NEWTON. LEMMA IV, If in two figures AacE, PprT iliere he inscriled (as mLemmas 11.^ III.) two series of parallelograms, the num-ber in each series heing the same, and if ivhen the hreadthsare diminished… … [Since the ratio, whose antecedent is the sum of theantecedents, and whose consequent is the sum of theconsequents of any number of given ratios, is inter-mediate in magnitude between the greatest and leastof the given ratios, it follows that the sum of theparallelograms described in AacE Is to the…
Mechanics · Celestial mechanics
Internet Archive · Boston Library Consortium · Public Domain Mark 1.0. Free to use for anything.
