Dissertation Fourth: Exibiting A General View Of The Progress Of Mathematical And Physical Science, Since The Revival Of Letters In Europe, Part 2 by John Playfair. This volume continues Playfair's historical survey of the sciences, tracing the progress of mathematics, physics, and astronomy from Newton's breakthroughs to the early nineteenth century. It surveys the birth of the infinitesimal calculus through Newton and Leibniz, the ensuing disputes over fluxions, and the contributions of the Bernoullis and other contemporaries; it recounts the reception, diffusion, and contest of Newtonian ideas across Europe, and the eventual establishment of the Newtonian philosophy. The work extends across mechanics, hydrostatics, optics, and astronomy, explaining Newton's Principia and the law of universal gravitation, Newton's experiments on light with prisms, the composition of colors, and the wave of discoveries in optics; it discusses lunar motion, tides, the aberration of starlight, the figure of the Earth as an oblate spheroid, and the advances in astronomical measurement. Playfair emphasizes the iterative progress of science as a collaborative enterprise, the tension between rival schools, and the gradual unification of knowledge under methodological principles of experiment and mathematics.
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