Newton's Principia: the central argument
Makes the great adventure of Principia available not only to modern scholars of history of science, but also to nonspecialist undergraduate students of humanities. It moves carefully from Newton's definitions and axioms through the essential propositions, as Newton himself identified them, to the establishment of universal gravitation and elliptical orbits. The guidebook unfolds what is implicit in Newton's words as he himself would have filled in the steps and completes the argument in ways that are authentic and not anachronistic, exactly following Newton's thinking rather than substituting tools of modern calculus or the formulations of modern physics. It is Newton in his own terms. This is a wonderful book. --Richard S. Westfall
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Foreword by Curtis Wilson
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accelerative force angle Apollonius applied apsides arc2 argument attraction axis Book center of forces centripetal force chord circle compounded conic section construction Corollary curvature curve curvilinear figures Definition demonstration diagram diameter duplicate ratio earth ellipse elongation Equation Euclid evanescent expanded proof Expansion of Newton's finite force law geometrical given gravity heliocentric hyperbola impressed force inverse square inverse square law Jupiter Jupiter's Kepler latus rectum Lemma Lemma 11 lemmita limit magnitudes mathematical mean distance moon moon's motive force Newton Newton gives Newton's Sketch Note observations orbit parabola parallel parallelograms Paris feet pendulum periodic perpendicular Phenomenon planets principal vertex Principia proportional Proposition Proposition 13 proved quantity of force quantity of matter radii radius ratio of equality rectilinear sagitta satellites Saturn scholium sides similar Step straight line Substituting subtense tangent things triangles ultimate ratio vanish velocity weight