Contents

Prologue
1:The beginnings and the writing of the Principia
2:Basic concepts: definition and axioms
3:On the notion of limits and the ratios of evanescent quantities
4:On the motion of particles under centripetal attraction: an introduction to Newton's treatment
5:The law of areas and some relations which follow
6:The motion of bodies along conic sections
7:Kepler's equation and its solution
8:The rectilinear ascent and descent of bodies
9:The conservation of energy and the initial value problem
10:On revolving orbits
11:A pause
12:The two-body problem
13:The method of the variations of the elements of a Kepler orbit and Newton's lunar theory: an introduction to propositions LXV-LXIX
14:The three body problem: the foundations of Newton's lunar theory
15:The superb theorems
16:Attraction by non-spherical bodies
17:A digression into Opticks
18:Prolegomenon
19:The universal law of gravitation
20:The figure of the earth and of the planets
21:On the theory of tides
22:The lunar theory
23:The precession of the equinoxes
24:On the comets
25:The effect of air-drag on the descent of bodies
26:The solid of least resistance
27:The problem of the brachistochrone
28:The velocity of sound and long waves in canals