Of the method of first and last ratios of quantities, by the help whereof we demonstrate the propositions that follow
Of the invention of centripetal forces
Of the motion of bodies in eccentric conic sections
Of the finding of elliptic, parabolic, and hyperbolic orbits, from the focus given
How the orbits are to be found when neither focus is given
How the motions are to be found in given orbits
Concerning the rectilinear ascent and descent of bodies
Of the invention of orbits wherein bodies will revolve, being acted upon by any sort of centripetal force
Of the motion of bodies in moveable orbits, and of the motion of the apsides
Of the motion of bodies in given superficies, and of the reciprocal motion of funependulous bodies
Of the motion of bodies to each other with centripetal forces
Of the attractive forces of spherical bodies
Of the attractive forces of bodies which are not of a spherical figure
Of the motion of very small bodies when agitated by centripetal forces tending to the several parts of any very great body

Of the motion of bodies that are resisted in the ratio of velocity
Of the motion of bodies that are resisted in the duplicate ratio of their velocities
Of the motions of bodies which are resisted partly in the ratio of the velocities, and partly in the duplicate of the same ratio
Of the circular motion of bodies in resisting mediums
Of the density and compression of fluids; and of hydrostatics
Of the motion and resistance of funependulous bodies
Of the motion of fluids and the resistance made to projected bodies
Of motion propagated through fluids
Of the circular motion of fluids