 Of the method of first and last ratios of quantities, by the
help whereof we demonstrate the propositions that follow
 Of the invention of centripetal forces
 Of the motion of bodies in eccentric conic sections
 Of the finding of elliptic, parabolic, and hyperbolic orbits,
from the focus given
 How the orbits are to be found when neither focus is given
 How the motions are to be found in given orbits
 Concerning the rectilinear ascent and descent of bodies
 Of the invention of orbits wherein bodies will revolve, being acted upon by any sort
of centripetal force
 Of the motion of bodies in moveable orbits, and of the motion of the apsides
 Of the motion of bodies in given superficies, and of the reciprocal motion of
funependulous bodies
 Of the motion of bodies to each other with centripetal forces
 Of the attractive forces of spherical bodies
 Of the attractive forces of bodies which are not of a spherical figure
 Of the motion of very small bodies when agitated by centripetal forces tending to the
several parts of any very great body
BOOK II. OF THE MOTION OF BODIES (contd.)
SECTION
 Of the motion of bodies that are resisted in the ratio of velocity
 Of the motion of bodies that are resisted in the duplicate ratio of their velocities
 Of the motions of bodies which are resisted partly in the ratio of the velocities,
and partly in the duplicate of the same ratio
 Of the circular motion of bodies in resisting mediums
 Of the density and compression of fluids; and of hydrostatics
 Of the motion and resistance of funependulous bodies
 Of the motion of fluids and the resistance made to projected bodies
 Of motion propagated through fluids
 Of the circular motion of fluids
RULES OF REASONING IN PHILOSOPHY
PHÆNOMENA, OR APPEARANCES
PROPOSITIONS IXVI
OF THE MOTION OF THE MOON'S NODES
GENERAL SCHOLIUM
Isaac Newton's Principia 1687, Translated by Andrew
Motte 1729
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