The Mathematical Principles of Natural Philosophy (1729)
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The Mathematical Principles of Natural Philosophy (1729) by , translated by Andrew Motte 
An English translation by Andrew Motte, based on the 1726 3rd edition of Philosophiae Naturalis Principia Mathematica.

Contents  

Front Matter  
page  
Title Page  i 
Dedication  iii 
The Author's Preface  vii 
The Preface of Mr Roger Cotes  xiv 
Definitions  1 
9  
Axioms, or Laws of Motion  19 
Book 1: The Motion of Bodies  
Section I  41 
Section II  57 
Section III  79 
Section IV  94 
Section V  104 
Section VI  143 
Section VII  154 
Section VIII  168 
Section IX  177 
Section X  196 
Section XI  218 
Section XII  263 
Section XIII  292 
Section XIV  311 
Book 2: The Motion of Bodies (in resisting mediums)  

Section I  1 
Section II  12 
Section III  45 
Section IV  55 
Section V  64 
Section VI  80 
Section VII  111 
Section VIII  163 
Section IX  184 
Book 3: Of the System of the World  
Index  XX 
Appendix  i 
The Laws of the Moon's Motion according to Gravity (John Machin)  (1) 
Errata  XX 
Book 1[edit]

 THE MOTION OF BODIES
 Of the method of first and last ratios of quantities, by the help whereof we demonstrate the propositions that follow [1]
 Of the invention of centripetal forces [2]
 Of the motion of bodies in eccentric Conic sections [3]
 Of the finding of elliptic, parabolic, and hyperbolic orbits, from the focus given [4]
 How the orbits are to be found when neither focus is given [5]
 How the motions are to be found in given orbits [6]
 Concerning the rectilinear ascent and descent of bodies [7]
 Of the invention of orbits wherein bodies will revolve, being acted upon by any sort of centripetal force [8]
 Of the motion of bodies in movable orbits; and of the motion of the apsides [9]
 Of the motion of bodies in given superficies; and of the reciprocal motion of funependulous bodies [10]
 Of the motions of bodies tending to each other with centripetal forces [11]
 Of the attractive forces of sphaerical bodies [12]
 Of the attractive forces of bodies which are not of a sphaerical figure [13]
 Of the motion of very small bodies when agitated by centripetal forces tending to the several parts of any very great body [14]
Book 2[edit]

 THE MOTION OF BODIES (In resisting mediums)
 Of the Motion of Bodies that are resisted in the ratio of the Velocity [15]
 Of the Motion of Bodies that are resisted in the duplicate ratio of their Velocities [16]
 Of the Motions of Bodies which are resisted partly in the ratio of the Velocities, and partly in the duplicate of the same ratio [17]
 Of the circular motion of bodies in resisting mediums [18]
 Of the density and compression of fluids; and of Hydrostatics [19]
 Of the motion and resistance of funependulous bodies [20]
 Of the motion of fluids and the resistance made to projected bodies [21]
 Of motion propagated thro' fluids [22]
 Of the circular motion of fluids [23]
Book 3[edit]

 OF THE SYSTEM OF THE WORLD
 Preface to Book 3 [24]
 Rules of Reasoning in Philosophy [25]
 The Phaenomena or Appearances [26]
 Propositions [27]

 Motion of the satellites of Jupiter [28]
 Propositions 2: the primary Planets, and 3: the Moon [29]
 Proposition 6: Gravitation towards every Planet [30]
 Proposition 7: Gravity tending to all Bodies [31]
 Proposition 10: Longevity of planetary motions [32]
 Proposition 11: Common centre of gravity of the Earth, the Sun and all the Planets [33]
 Proposition 13: the Planets move in Ellipses [34]
 Proposition 17: the diurnal motions of the Planets are uniform [35]
 Proposition 18: (oblateness of the Planets & the Earth) [36]
 Proposition 21: the equinoctial points go backwards [37]
 Proposition 22: all the motions of the Moon ... follow from the principles ... laid down [38]
 Proposition 24: the flux and reflux of the Sea, arise from the actions of the Sun and Moon [39]
 Propositions 2535: (disturbances of the motions of the Moon) [40]
 Proposition 3637: (forces of Sun & Moon to move the Sea) [41]
 Proposition 38: Figure of the Moon's Body [42]
 Proposition 39: precession of the equinoxes [43]
 (Theory of the comets) [44]
 General Scholium^{[1]} [45]
References (not part of original work)[edit]
 ↑ Ducheyne, Steffen, “The General Scholium: Some notes on Newton’s published and unpublished endeavours, Lias: Sources and Documents Relating to the Early Modern History of Ideas, vol. 33, n° 2, pp. 223274.”, <http://logica.ugent.be/steffen/GS.pdf>. Retrieved on 20081119
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