The Mathematical Principles of Natural Philosophy (1729)
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For other English-language translations of this work, see The Mathematical Principles of Natural Philosophy.
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 | |
Rules of Reasoning in Philosophy | 202 |
Phænomena, or Appearances | 206 |
Propositions I-IX (Force of gravity) | 213 |
Propositions X-XXIV (Motions of the sea) | 230 |
Propositions XXV-XXXIII (Motions of the moon) | 262 |
Propositions XXXVI-XXXVIII (Forces to move the sea) | 305 |
Lemmas I-III, Proposition XXXIX (Precession of equinoxes) | 315 |
Lemmas IV-XI, Propositions XL-XLII (Comets) | 323 |
General Scholium | 387 |
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 25-35: (disturbances of the motions of the Moon) [40]
- Proposition 36-37: (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. 223-274.". Retrieved 2008-11-19.
This work is a translation and has a separate copyright status to the applicable copyright protections of the original content.
Original:
This work was published before January 1, 1924, and is in the public domain worldwide because the author died at least 100 years ago.
Translation:
This work was published before January 1, 1924, and is in the public domain worldwide because the author died at least 100 years ago.