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 37

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 37
his parallelogram, since itsbreadth is diminished indefinitely [as the number ofparallelograms is increased indefinitely] becomes lessthan any assignable parallelogram; therefore, byLemma I., the inscribed and circumscribed figures,and, a fortiori, the curvilinear figure, which is inter-mediate,… … For, let AF be equal to the greatest breadtli, and theparallelogram FAaf be completed. This parallelo-gram will be greater than the difference between theinscribed and circumscribed figures. But, when itsbreadth is diminislied indefinitely, it will becomeless than any assignable parallelogram.…

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