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
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