The Mathematical Principles of Natural Philosophy, by Isaac Newton

Table of Contents

The Author’s Preface

Definitions.

Axioms, or Laws of Motion.

Book i. Of the Motion of Bodies.

  1. Of the method of first and last ratios of quantities.
  2. Of the Invention of Centripetal Forces.
  3. Of the motion of bodies in eccentric conic sections.
  4. Of the finding of elliptic, parabolic, and hyperbolic orbits, from the focus given.
  5. How the orbits are to be found when neither focus is given.
  6. How the motions are to be found in given orbits.
  7. Concerning the rectilinear ascent and descent of bodies.
  8. Of the invention of orbits wherein bodies will revolve, being acted upon by any sort of centripetal force.
  9. Of the motion of bodies in moveable orbits; and of the motion of the apsides.
  10. Of the motion of bodies in given superficies, and of the reciprocal motion of funependulous bodies.
  11. Of the motions of bodies tending to each other with centripetal forces.
  12. Of the attractive forces of sphaerical bodies.
  13. Of the attractive forces of bodies which are not of a sphaerical figure.
  14. Of the motion of very small bodies when agitated by centripetal forces tending to the several parts of any very great body.

Book ii. Of the Motion of Bodies.

  1. Of the motion of bodies that are resisted in the ratio of the velocity.
  2. Of the motion of bodies that are resisted in the duplicate ratio of their velocities.
  3. Of the motions of bodies which are resisted partly in the ratio of the velocities, and partly in the duplicate of the same ratio.
  4. Of the circular motion of bodies in resisting mediums.
  5. Of the density and compression of fluids; and of hydrostatics.
  6. Of the motion and resistance of funependulous bodies.
  7. Of the motion of fluids, and the resistance made to projected bodies.
  8. Of motion propagated through fluids.
  9. Of the circular motion of fluids.

Book iii.

  1. Rules of Reasoning in Philosophy.
  2. Phaenomena, or Appearances.
  3. Propositions
  4. General Scholium.

Index.

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Last updated Sunday, March 27, 2016 at 11:58