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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 37

An illustration from Newton's Principia, sections I, II, III, with notes and illustrations. Also a collection of problems, 1863, leaf 37
llelogram, since its breadth is diminished indefinitely,[as the number of parallelograms is increased indefinitely,]becomes less than any assignable parallelogram, therefore(by Lemma I), the inscribed and circumscribed figures,and, a fortiori, the curvilinear figure, which is intermediate, become… … A. Jb F C J> E For, let AF be equal to the greatest breadth, and the parallelogram FAaf be completed. This parallelogram will begreater than the difference between the inscribed andcircumscribed figures. But, when its breadth is diminishedindefinitely, it will become less than any assignable…

Mechanics · Celestial mechanics

Internet Archive · California Digital Library · Public Domain Mark 1.0. Free to use for anything.

More pictures from Newton's Principia, sections I, II, III, with notes and illustrations. Also a collection of problems

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