The mathematical principles of natural philosophy

Definitions

The Axioms, or The Laws of Motion

On the Motion of Bodies, Book One

I.1. On the theory of limits, which is used to deduce later results

I.2. On the calculation of centripetal forces

I.3. On the motion of particles in eccentric conic sections

I.4. On the calculation of elliptical, parabolic, and hyperbolic orbits

I.5. On the calculation of orbits when neither focus is given

I.6. On the calculation of motion in given orbits

I.7. On the ascent and descent of particles in a straight line

I.8. On the calculation of the orbits in which particles revolve under any centripetal forces

I.9. On the motion of particles in moving orbits, and the motion of the apsides

I.10. On the motion of particles on given surfaces, and the swinging motion of a string pendulum

I.11. On the motion of particles attracting each other by centripetal forces

I.12. On the attractive forces of spherical bodies

I.13. On the attractive forces of non-spherical bodies

I.14. On the motion of particles attracted by centripetal forces towards the various parts of arbitrarily large bodies

On the Motion of Bodies, Book Two

II.1. On the motion of particles moving against a resistance that is proportional to the speed

II.2. On the motion of bodies moving against a resistance that is proportional to the square of the speed

II.3. On the motion of bodies to which the resistance consists of one part that is proportional to the speed, and another to the square of the speed

II.4. On the circular motion of bodies in resisting media

II.5. On the density and compression of fluids, and on hydrostatics

II.6. On the motion and resistance of string pendulums

II.7. On the motion of fluids and the resistance of projectiles

II.8. On the motion propagated through fluids

II.9. On the circular motion of fluids

On Celestial Mechanics, Book Three

Introduction to Book Three

The Rules of Scientific Argument

Phenomena

Propositions

General Scholium.