Chapters in this book

1. Frontmatter I
2. Contents V
3. Editor's Note to the Present Revision VII
4. TITLE PAGE OF THE FIRST EDITION OF THE Principia IX
5. PRINCIPIA XI
6. PRINCIPIA
7. Definitions 1
8. AXIOMS, OR LAWS OF MOTION 13
9. Book One. THE MOTION OF BODIES
10. I. Method of first and last ratios 29
11. II. Determination of centripetal forces 40
12. III. Motion of bodies in eccentric conic sections 56
13. IV. Determination of elliptic, parabolic, and hyperbolic orbits, from the focus given 68
14. V. Determination of orbits when neither focus is given 76
15. VI. Determination of motions in given orbits 109
16. VII. Rectilinear ascent and descent of bodies 117
17. VIII. Determination of orbits in which bodies will revolve, being acted upon by any sort of centripetal force 128
18. IX. Motion of bodies in movable orbits; and the motion of the apsides 135
19. X. Motion of bodies in given surfaces; and the oscillating pendulous motion of bodies 148
20. XI. Motion of bodies tending to each other with centripetal forces 164
21. XII. Attractive forces of spherical bodies 193
22. XIII. Attractive forces of bodies which are not spherical 214
23. XIV. Motion of very small bodies when agitated by centripetal forces tending to the several parts of any very great body 226
24. Book Two. THE MOTION OF BODIES
25. I. Motion of bodies that are resisted in the ratio of the velocity 235
26. II. Motion of bodies that are resisted as the square of their velocities 245
27. III. Motion of bodies that are resisted partly in the ratio of the velocities, and partly as the square of the same ratio 272
28. IV. Circular motion of bodies in resisting mediums 282
29. V. Density and compression of fluids; hydrostatics 290
30. VI. Motion and resistance of pendulous bodies 303
31. VII. Motion of fluids, and the resistance made to projected bodies 327
32. VIII. Motion propagated through fluids 367
33. IX. Circular motion of fluids 385
34. Book Three. SYSTEM OF THE WORLD
35. RULES OF REASONING IN PHILOSOPHY 397
36. PHENOMENA 401
37. PROPOSITIONS 406
38. THE MOTION OF THE MOON'S NODES 464
39. GENERAL SCHOLIUM 543
40. THE SYSTEM OF THE WORLD 549
41. AN HISTORICAL AND EXPLANATORY APPENDIX 627