MATHEMATICAL PRINCIPLES OF NATURAL PHILOSOPHY 3
DEFINITIONS 3
AXIOMS,OR LAWS OF MOTION 13
BOOK Ⅰ THE MOTION OF BODIES 29
SECTION 29
Ⅰ．Method of first and last ratios 29
Ⅱ．Determination of centripetal forces 41
Ⅲ．Motion of bodies in eccentric conic sections 55
Ⅳ．Determination of elliptic,parabolic,and hyperbolic orbits,from the focus given 67
Ⅴ．Determination of orbits when neither focus is given 75
Ⅵ．Determination of motions in given orbits 107
Ⅶ．Rectilinear ascent and descent of bodies 115
Ⅷ．Deternination of orbits in which bodies will revolve,being acted upon by any sort of centripetal force 127
Ⅸ．Motion of bodies in movable orbits;and the motion of the apsides 133
Ⅹ．Motion of bodies in given surfaces;and the oscillating pendulous motion of bodies 145
Ⅺ．Motion of bodies tending to each other with centripetal forces 159
Ⅻ．Attractive forces of spherical bodies 185
ⅩⅢ．Attractive forces of bodies which are not spherical 205
ⅩⅣ．Motion of very small bodies when agitated by centripetal forces tending to the several parts of any very great body 217
BOOK Ⅱ THE MOTION OF BODIES（IN RESISTING MEDIUMS） 227
SECTION 227
Ⅰ．Motion of bodies that are resisted in the ratio of the velocity 227
Ⅱ．Motion of bodies that are resisted as the square of their velocities 237
Ⅲ．Motion of bodies that are resisted partly in the ratio of the velocities,and partly as the square of the same ratio 261
Ⅳ．Circular motion of bodies in resisting mediums 271
Ⅴ．Density and compression of fluids;hydrostatics 279
Ⅵ．Motion and resistance of pendulous bodies 291
Ⅶ．Motion of fluids,and the resistance made to projected bodies 311
Ⅷ．Motion propagated through fluids 347
Ⅸ．Circular motion of fluids 363