MATHEMATICAL PRINCIPLES OF NATURAL PHILOSOPHY

DEFINITIONS

AXIOMS,OR LAWS OF MOTION

BOOK Ⅰ THE MOTION OF BODIES

SECTION

Ⅰ．Method of first and last ratios

Ⅱ．Determination of centripetal forces

Ⅲ．Motion of bodies in eccentric conic sections

Ⅳ．Determination of elliptic,parabolic,and hyperbolic orbits,from the focus given

Ⅴ．Determination of orbits when neither focus is given

Ⅵ．Determination of motions in given orbits

Ⅶ．Rectilinear ascent and descent of bodies

Ⅷ．Deternination of orbits in which bodies will revolve,being acted upon by any sort of centripetal force

Ⅸ．Motion of bodies in movable orbits;and the motion of the apsides

Ⅹ．Motion of bodies in given surfaces;and the oscillating pendulous motion of bodies

Ⅺ．Motion of bodies tending to each other with centripetal forces

Ⅻ．Attractive forces of spherical bodies

ⅩⅢ．Attractive forces of bodies which are not spherical

ⅩⅣ．Motion of very small bodies when agitated by centripetal forces tending to the several parts of any very great body

BOOK Ⅱ THE MOTION OF BODIES（IN RESISTING MEDIUMS）

SECTION

Ⅰ．Motion of bodies that are resisted in the ratio of the velocity

Ⅱ．Motion of bodies that are resisted as the square of their velocities

Ⅲ．Motion of bodies that are resisted partly in the ratio of the velocities,and partly as the square of the same ratio

Ⅳ．Circular motion of bodies in resisting mediums

Ⅴ．Density and compression of fluids;hydrostatics

Ⅵ．Motion and resistance of pendulous bodies

Ⅶ．Motion of fluids,and the resistance made to projected bodies

Ⅷ．Motion propagated through fluids

Ⅸ．Circular motion of fluids