The Mathematical Principles of Natural Philosophy (1729)



  

Book 1

 * THE MOTION OF BODIES


 * 1) Of the method of first and last ratios of quantities, by the help whereof we demonstrate the propositions that follow
 * 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 movable 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 2

 * THE MOTION OF BODIES (In resisting mediums)


 * 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 thro' fluids
 * 9) Of the circular motion of fluids

Book 3

 * OF THE SYSTEM OF THE WORLD


 * Preface to Book 3
 * Rules of Reasoning in Philosophy
 * The Phaenomena or Appearances
 * Propositions
 * Motion of the satellites of Jupiter
 * Propositions 2: the primary Planets, and 3: the Moon
 * Proposition 6: Gravitation towards every Planet
 * Proposition 7: Gravity tending to all Bodies
 * Proposition 10: Longevity of planetary motions
 * Proposition 11: Common centre of gravity of the Earth, the Sun and all the Planets
 * Proposition 13: the Planets move in Ellipses
 * Proposition 17: the diurnal motions of the Planets are uniform
 * Proposition 18: (oblateness of the Planets & the Earth)
 * Proposition 21: the equinoctial points go backwards
 * Proposition 22: all the motions of the Moon ... follow from the principles ... laid down
 * Proposition 24: the flux and reflux of the Sea, arise from the actions of the Sun and Moon
 * Propositions 25-35: (disturbances of the motions of the Moon)
 * Proposition 36-37: (forces of Sun & Moon to move the Sea)
 * Proposition 38: Figure of the Moon's Body
 * Proposition 39: precession of the equinoxes
 * (Theory of the comets)


 * General Scholium

Mathematische Principien der Naturlehre Principes mathématiques de la philosophie naturelle Philosophiae Naturalis Principia Mathematica