In his monumental 1687 work, Philosophiae Naturalis Principia Mathematica, known familiarly as the Principia, Isaac Newton laid out in mathematical terms the principles of time, force, and motion that have guided the development of modern physical science. Even after more than three centuries and the revolutions of Einsteinian relativity and quantum mechanics, Newtonian physics continues to account for many of the phenomena of the observed world, and Newtonian celestial dynamics is used to determine the orbits of our space vehicles.
This authoritative, modern translation by I. Bernard Cohen and Anne Whitman, the first in more than 285 years, is based on the 1726 edition, the final revised version approved by Newton; it includes extracts from the earlier editions, corrects errors found in earlier versions, and replaces archaic English with contemporary prose and up-to-date mathematical forms. Newton's principles describe acceleration, deceleration, and inertial movement; fluid dynamics; and the motions of the earth, moon, planets, and comets. A great work in itself, the Principia also revolutionized the methods of scientific investigation. It set forth the fundamental three laws of motion and the law of universal gravity, the physical principles that account for the Copernican system of the world as emended by Kepler, thus effectively ending controversy concerning the Copernican planetary system. The translation-only edition of this preeminent work is truly accessible for today's scientists, scholars, and students.Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.
I. Bernard Cohen (1914-2003) was Victor S. Thomas Professor (Emeritus) of the History of Science at Harvard University. Among his recent books are Benjamin Franklin's Science (1996), Interactions (1994), and Science and the Founding Fathers (1992). Anne Whitman was coeditor (with I. Bernard Cohen and Alexander Koyré) of the Latin edition, with variant readings, of the Principia (1972). Julia Budenz, author of From the Gardens of Flora Baum (1984), is a multilingual classicist and poet.
Publisher's Note,
Preface to the 1999 Edition,
A Brief History of the Principia,
The Principia (Mathematical Principles of Natural Philosophy),
Halley's Ode to Newton,
Newton's Preface to the First Edition,
Newton's Preface to the Second Edition,
Cotes's Preface to the Second Edition,
Newton's Preface to the Third Edition,
Definitions,
Axioms, or the Laws of Motion,
Book 1: The Motion of Bodies,
Book 2: The Motion of Bodies,
Book 3: The System of The World,
General Scholium,
Notes,
Notes Added in Second Printing,
A Brief History of the Principia
The Origins of the Principia
Isaac Newton's Principia was published in 1687. The full title is Philosophiae Naturalis Principia Mathematica, or Mathematical Principles of Natural Philosophy. A revised edition appeared in 1713, followed by a third edition in 1726, just one year before the author's death in 1727. The subject of this work, to use the name assigned by Newton in the first preface, is "rational mechanics." Later on, Leibniz introduced the name "dynamics." Although Newton objected to this name, "dynamics" provides an appropriate designation of the subject matter of the Principia, since "force" is a primary concept of that work. Indeed, the Principia can quite properly be described as a study of a variety of forces and the different kinds of motions they produce. Newton's eventual goal, achieved in the third of the three "books" of which the Principia is composed, was to apply the results of the prior study to the system of the world, to the motions of the heavenly bodies. This subject is generally known today by the name used a century or so later by Laplace, "celestial mechanics."
The history of how the Principia came into being has been told and retold. In the summer of 1684, the astronomer Edmond Halley visited Newton in order to find out whether he could solve a problem that had baffled Christopher Wren, Robert Hooke, and himself: to find the planetary orbit that would be produced by an inverse-square central force. Newton knew the answer to be an ellipse. He had solved the problem of elliptical orbits earlier, apparently in the period 1679–1680 during the course of an exchange of letters with Hooke. When Halley heard Newton's reply, he urged him to write up his results. With Halley's prodding and encouragement, Newton produced a short tract which exists in several versions and will be referred to as De Motu (On Motion), the common beginning of all the titles Newton gave to the several versions. Once started, Newton could not restrain the creative force of his genius, and the end product was the Principia. In his progress from the early versions of De Motu to the Principia, Newton's conception of what could be achieved by an empirically based mathematical science had become enlarged by several orders of magnitude.
As first conceived, the Principia consisted of two "books" and bore the simple title De Motu Corporum (On the Motion of Bodies). This manuscript begins, as does the Principia, with a series of Definitions and Laws of Motion, followed by a book 1 whose subject matter more or less corresponds to book 1 of the Principia. The subjec
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