The Mathematical Principles of Natural Philosophy (Hardcover)

Definitions; The Axioms, or the Laws of Motion; Book One. On the Motion of Bodies: Section 1. On the theory of limits; Section 2. On the calculation of centripetal forces; Section 3. On the motion of particles in eccentric conic sections; Section 4. On the calculation of elliptical, parabolic, and hyperbolic orbits with a given focus; Section 5. On the calculation of orbits when neither focus is given; Section 6. On the calculation of motion in given orbits; Section 7. On the ascent and descent of particles in a straight line; Section 8. On the calculation of the orbits in which particles revolve under any centripetal forces; Section 9. On the motion of particles in moving orbits, and the motion of the apsides; Section 10. On the motion of particles on given surfaces, and the swinging motion of a string pendulum; Section 11. On the motion of particles attracting each other by centripetal forces; Section 12. On the attractive forces of spherical bodies; Section 13. On the attractive forces of non-spherical bodies; Section 14. On the motion of particles attracted by centripetal forces towards the various parts of arbitrarily large bodies; Book Two. On the Motion of Bodies: Section 1. On the motion of particles moving against a resistance that is proportional to the speed; Section 2. On the motion of particles moving against a resistance that is proportional to the square of the speed; Section. 3. On the motion of bodies to which the resistance consists of one part that is proportional to the speed, and another part that is proportional to the square of the speed; Section. 4. On the revolving motion of bodies in resisting media; Section 5. On the density and compression of fluids, and on hydrostatics; Section 6. On the motion and resistance of string pendulums; Section 7. On the motion of fluids and the resistance of projectiles; Section 8. On motion propagated through fluids; Section 9. On the circular motion of fluids; Book Three. On Celestial Mechanics: The rules of Scientific Argument; Phenomena; Propositions; On the motion of the nodes of the moon; Appendices; Glossary of Latin terms; References; Index.