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The Mathematical Principles of Natural Philosophy, by Isaac Newton (1642 - 1727) Translated into English by Andrew Motte (1693 - 1728) Published by Daniel Adee, 1846. Edited by N. W. Chittenden Images and text used from Wikisource (Public Domain) Addendum, by Nicolae Sfetcu: - Historical context: Action at a distance - The methodology of Isaac Newton - The dispute over the priority of the law of gravity Cover: Portrait of Isaac Newton (1642-1727), by Godfrey Kneller (1646–1723), oil on canvas, 1689, Collection Isaac Newton Institute (cropped and processed) The Mathematical Principles of Natural Philosophy (Latin: "Philosophiae naturalis principia mathematica"), often abbreviated as Principia or Principia Mathematica, the Isaac Newton's masterpiece, was published in London on July 5, 1687. The text of the third edition in Latin, 1726 , will be revised and enriched for the last time by Newton, being generally considered as a reference. The book is one of the most important scientific books ever published, being the foundation of classical mechanics. It is considered by most physicists to be the most famous book in this field. Newton applies here the mathematical laws to the study of natural phenomena. The book contains Newton's laws of motion that formed the basis of Newtonian mechanics, as well as the universal law of gravity. Most translations of the book are based on Newton's third edition in 1726. The first translation, in 1729, belongs to Andrew Motte, republished in 1846 by Daniel Adee as the first American edition, edited by N. W. Chittenden. The book begins with definitions, laws, or axioms, followed by three parts (or "books") about "the motion of bodies" and "the system of the world." “This most beautiful system of the sun, planets and comets, could only proceed from the counsel and dominion of an intelligent and powerful Being... This Being governs all things, not as the soul of the world, but as Lord over all; and on account of his dominion he is wont, to be called Lord God παντοκρατωρ or Universal Ruler.” (Isaac Newton) ”The whole evolution of our ideas about the processes of nature … might be regarded as an organic development of Newton’s work.” (Subrahmanyan Chandrasekhar)

Principles of Philosophy (Latin: Principia philosophiae) is a book by Rene Descartes. In essence it is a synthesis of the Discourse on Method and Meditations on First Philosophy It was written in Latin, published in 1644 and dedicated to Elisabeth of Bohemia, with whom Descartes had a long-standing friendship. A French version (Les Principes de la Philosophie) followed in 1647. It set forth the principles of nature-the Laws of Physics-as Descartes viewed them. Most notably, it set forth the principle that in the absence of external forces, an object's motion will be uniform and in a straight line. Newton borrowed this principle from Descartes and included it in his own Principia; to this day, it is still generally referred to as Newton's First Law of Motion. The book was primarily intended to replace the Aristotelian curriculum then used in French and British Universities. The work provides a systematic statement of his metaphysics and natural philosophy, and represents the first truly comprehensive, mechanistic account of the universe."

Newton's philosophical analysis of space and time /Robert Disalle --Newton's concepts of force and mass, with notes on the Laws of Motion /I. Bernard Cohen --Curvature in Newton's dynamics /J. Bruce Brackenridge and Michael Nauenberg --Methodology of the Principia /George E. Smith --Newton's argument for universal gravitation /William Harper --Newton and celestial mechanics /Curtis Wilson --Newton's optics and atomism /Alan E. Shapiro --Newton's metaphysics /Howard Stein --Analysis and synthesis in Newton's mathematical work /Niccolò Guicciardini --Newton, active powers, and the mechanical philosophy /Alan Gabbey --Background to Newton's chymistry /William Newman --Newton's alchemy /Karin Figala --Newton on prophecy and the Apocalypse /Maurizio Mamiani --Newton and eighteenth-century Christianity /Scott Mandelbrote --Newton versus Leibniz : from geomentry to metaphysics /A. Rupert Hall --Newton and the Leibniz-Clarke correspondence /Domenico Bertoloni Meli.

Newton's Philosophiae Naturalis Principia Mathematica provides a coherent and deductive presentation of his discovery of the universal law of gravitation. It is very much more than a demonstration that 'to us it is enough that gravity really does exist and act according to the laws which wehave explained and abundantly serves to account for all the motions of the celestial bodies and the sea'. It is important to us as a model of all mathematical physics.Representing a decade's work from a distinguished physicist, this is the first comprehensive analysis of Newton's Principia without recourse to secondary sources. Professor Chandrasekhar analyses some 150 propositions which form a direct chain leading to Newton's formulation of his universal law ofgravitation. In each case, Newton's proofs are arranged in a linear sequence of equations and arguments, avoiding the need to unravel the necessarily convoluted style of Newton's connected prose. In almost every case, a modern version of the proofs is given to bring into sharp focus the beauty,clarity, and breath-taking economy of Newton's methods.Subrahmanyan Chandrasekhar is one of the most reknowned scientists of the twentieth century, whose career spanned over 60 years. Born in India, educated at the University of Cambridge in England, he served as Emeritus Morton D. Hull Distinguished Service Professor of Theoretical Astrophysics at theUniversity of Chicago, where he has was based from 1937 until his death in 1996. His early research into the evolution of stars is now a cornerstone of modern astrophysics, and earned him the Nobel Prize for Physics in 1983. Later work into gravitational interactions between stars, the properties offluids, magnetic fields, equilibrium ellipsoids, and black holes has earned him awards throughout the world, including the Gold Medal from the Royal Astronomical Society in London (1953), the National Medal of Science in the United States (1966), and the Copley Medal from the Royal Society (1984).His many publications include Radiative transfer (1950), Hydrodynamic and hydromagnetic stability (1961), and The mathematical theory of black holes (1983), each being praised for its breadth and clarity. Newton's Principia for the common reader is the result of Professor Chandrasekhar's profoundadmiration for a scientist whose work he believed is unsurpassed, and unsurpassable.