v. 1. The motion of bodies
v. 2. The system of the world.
V. 1. Ode / Edmund Halley ; translated / Leon J. Richardson
Prefaces to the first, second, and third editions
Definitions
Axioms, or laws of motion
Book I. The motion of bodies. I. Method of first and last ratios
II. Determination of centripetal forces
III. Motion of bodies in eccentric conic sections
IV. Determination of elliptic, parabolic, and hyperbolic orbits, from the focus given
V. Determination of orbits when neither focus is given
VI. Determination of motions in given orbits
VII. Rectilinear ascent and descent of bodies
VIII. Determination of orbits in which bodies will revolve, being acted upon by any sort of centripetal force
IX. Motion of bodies in movable orbits ; and the motion of the apsides
X. Motion of bodies in given surfaces ; and the oscillating pendulous motion of bodies
XI. Motion of bodies tending to each other with centripetal forces
XII. Attractive forces of spherical bodies
XIII. Attractive forces of bodies which are not spherical
XIV. Motion of very small bodies when agitated by centripetal forces tending to the several parts of any very great body
Book II. The motion of bodies (in resisting mediums). I. Motion of bodies that are resisted in the ratio of the velocity
II. Motion of bodies that are resisted as the square of their velocities
III. Motion of bodies that are resisted partly in the ratio of the velocities, and partly as the square of the same ratio
IV. Circular motion of bodies in resisting mediums
V. Density and compression of fluids ; hydrostatics
VI. Motion and resistance of pendulous bodies
VII. Motion of fluids, and the resistance made to projected bodies
VII. Motion of fluids, and the resistance made to projected bodies
VIII. Motion propagated through fluids
IX. Circular motion of fluids.
V. 2. Book III. The system of the world (in mathematical treatment). Rules of reasoning in philosophy
Phenomena
Propositions
Motion of the moon's nodes
General scholium
The system of the world. System of the world
Appendix. Notes, historical and explanatory / Prepared by the reviser.