Page:Newton's Principia (1846).djvu/585

 {| style="width:100%;" cellpadding="2" align=center
 * style="width:90%" colspan=2| the motions of the nodes and the inequalities of its motions computed from the theory of gravity,||nowrap="nowrap"|427, 430, 434, 436
 * style="text-align:center"|“||the same from a different principle,||437
 * style="text-align:center"|“||the variations of the inclination computed from the theory of gravity,||nowrap="nowrap"|441, 443
 * style="text-align:center"|“||the equations of the moon s motions for astronomical uses,||445
 * style="text-align:center"|“||the annual equation of the moon s mean motion,||445
 * style="text-align:center"|“||the first semi-annual equation of the same,||443
 * style="text-align:center"|“||the second semi-annual equation of the same,||447
 * style="text-align:center"|“||the first equation of the moon s centre,||447
 * style="text-align:center"|“||the second equation of the moon s centre,||448
 * colspan=2| first variation,||425
 * style="text-align:center"|“||the annual equation of the mean motion of its apogee,||445
 * style="text-align:center"|“||the semi-annual equation of the same,||447
 * style="text-align:center"|“||the semi-annual equation of its eccentricity,||447
 * style="text-align:center"|“||the annual equation of the mean motion of its nodes,||445
 * style="text-align:center"|“||the semi-annual equation of the same,||437
 * style="text-align:center"|“||the semi-annual equation of the inclination of the orbit to the ecliptic,||444
 * style="text-align:center"|“||the method of fixing the theory of the lunar motions from observations,||464
 * colspan=2|, its quantity defined,||73
 * style="text-align:center"|“||absolute and relative,||78
 * style="text-align:center"|“||absolute and relative, the separation of one from the other possible, demonstrated by an example||82
 * style="text-align:center"|“||laws thereof,||83
 * style="text-align:center"|“||of concurring bodies after their reflection, by what experiments collected,||91
 * style="text-align:center"|“||of bodies in eccentric sections,||116
 * style="text-align:center"|“||in moveable orbits,||172
 * style="text-align:center"|“||in given superficies, and of the reciprocal motion of pendulums,||183
 * style="text-align:center"|“||of bodies tending to each other with centripetal forces,||194
 * style="text-align:center"|“||of very small bodies agitated by centripetal forces tending to each part of some very great body,||233
 * style="text-align:center"|“||of bodies resisted in the ratio of the velocities,||251
 * style="text-align:center"|“||in the duplicate ratio of the velocity,||258
 * style="text-align:center"|“||partly in the simple and partly in the duplicate ratio of the same,||280
 * style="text-align:center"|“||of bodies proceeding by their vis insita alone in resisting mediums,||nowrap="nowrap"|251, 258, 259, 280, 281, 330
 * style="text-align:center"|“||of bodies ascending or descending in right lines in resisting mediums, and acted on by an uniform force of gravity,||nowrap="nowrap"|252, 265, 281, 283
 * style="text-align:center"|“||of bodies projected in resisting mediums, and acted on by an uniform force of gravity,||nowrap="nowrap"|255, 268
 * style="text-align:center"|“||of bodies revolving in resisting mediums,||287
 * style="text-align:center"|“||of funependulous bodies in resisting mediums,||304
 * style="text-align:center"|“||and resistance of fluids,||323
 * style="text-align:center"|“||propagated through fluids,||356
 * style="text-align:center"|“||of fluids after the manner of a vortex, or circular,||370
 * colspan=2|, composition and resolution of them,||84
 * colspan=2| for optic uses, the method of finding them which Cartesius concealed,||246
 * style="text-align:center"|“||a general solution of Cartesius's problem,||nowrap="nowrap"|247, 248
 * colspan=2|, the invention of those which are described by bodies going off from a given place with a given velocity according to a given right line, when the centripetal force is reciprocally as the square of the distance, and the absolute quantity of that force is known,||123
 * style="text-align:center"|“||of those which are described by bodies when the centripetal force is reciprocally as the cube of the distance,||nowrap="nowrap"|114, 171, 176
 * style="text-align:center"|“||of those which are described by bodies agitated by any centripetal forces whatever,||168
 * colspan=2|, by what law of centripetal force tending to the focus of the figure the same may be described,||120
 * colspan=2|, their properties explained,||nowrap="nowrap"|186, 190, 304
 * style="text-align:center"|“||the diverse lengths of isochronous pendulums in different latitudes compared among themselves, both by observations and by the theory of gravity,||nowrap="nowrap"|409 to 413
 * colspan=2| defined, and distinguished into absolute and relative,||78
 * colspan=2| of bodies moving in conic sections found to any assigned time,||153
 * colspan=2| not carried about by corporeal vortices,||378
 * }
 * style="text-align:center"|“||of bodies tending to each other with centripetal forces,||194
 * style="text-align:center"|“||of very small bodies agitated by centripetal forces tending to each part of some very great body,||233
 * style="text-align:center"|“||of bodies resisted in the ratio of the velocities,||251
 * style="text-align:center"|“||in the duplicate ratio of the velocity,||258
 * style="text-align:center"|“||partly in the simple and partly in the duplicate ratio of the same,||280
 * style="text-align:center"|“||of bodies proceeding by their vis insita alone in resisting mediums,||nowrap="nowrap"|251, 258, 259, 280, 281, 330
 * style="text-align:center"|“||of bodies ascending or descending in right lines in resisting mediums, and acted on by an uniform force of gravity,||nowrap="nowrap"|252, 265, 281, 283
 * style="text-align:center"|“||of bodies projected in resisting mediums, and acted on by an uniform force of gravity,||nowrap="nowrap"|255, 268
 * style="text-align:center"|“||of bodies revolving in resisting mediums,||287
 * style="text-align:center"|“||of funependulous bodies in resisting mediums,||304
 * style="text-align:center"|“||and resistance of fluids,||323
 * style="text-align:center"|“||propagated through fluids,||356
 * style="text-align:center"|“||of fluids after the manner of a vortex, or circular,||370
 * colspan=2|, composition and resolution of them,||84
 * colspan=2| for optic uses, the method of finding them which Cartesius concealed,||246
 * style="text-align:center"|“||a general solution of Cartesius's problem,||nowrap="nowrap"|247, 248
 * colspan=2|, the invention of those which are described by bodies going off from a given place with a given velocity according to a given right line, when the centripetal force is reciprocally as the square of the distance, and the absolute quantity of that force is known,||123
 * style="text-align:center"|“||of those which are described by bodies when the centripetal force is reciprocally as the cube of the distance,||nowrap="nowrap"|114, 171, 176
 * style="text-align:center"|“||of those which are described by bodies agitated by any centripetal forces whatever,||168
 * colspan=2|, by what law of centripetal force tending to the focus of the figure the same may be described,||120
 * colspan=2|, their properties explained,||nowrap="nowrap"|186, 190, 304
 * style="text-align:center"|“||the diverse lengths of isochronous pendulums in different latitudes compared among themselves, both by observations and by the theory of gravity,||nowrap="nowrap"|409 to 413
 * colspan=2| defined, and distinguished into absolute and relative,||78
 * colspan=2| of bodies moving in conic sections found to any assigned time,||153
 * colspan=2| not carried about by corporeal vortices,||378
 * }
 * colspan=2|, composition and resolution of them,||84
 * colspan=2| for optic uses, the method of finding them which Cartesius concealed,||246
 * style="text-align:center"|“||a general solution of Cartesius's problem,||nowrap="nowrap"|247, 248
 * colspan=2|, the invention of those which are described by bodies going off from a given place with a given velocity according to a given right line, when the centripetal force is reciprocally as the square of the distance, and the absolute quantity of that force is known,||123
 * style="text-align:center"|“||of those which are described by bodies when the centripetal force is reciprocally as the cube of the distance,||nowrap="nowrap"|114, 171, 176
 * style="text-align:center"|“||of those which are described by bodies agitated by any centripetal forces whatever,||168
 * colspan=2|, by what law of centripetal force tending to the focus of the figure the same may be described,||120
 * colspan=2|, their properties explained,||nowrap="nowrap"|186, 190, 304
 * style="text-align:center"|“||the diverse lengths of isochronous pendulums in different latitudes compared among themselves, both by observations and by the theory of gravity,||nowrap="nowrap"|409 to 413
 * colspan=2| defined, and distinguished into absolute and relative,||78
 * colspan=2| of bodies moving in conic sections found to any assigned time,||153
 * colspan=2| not carried about by corporeal vortices,||378
 * }
 * colspan=2|, their properties explained,||nowrap="nowrap"|186, 190, 304
 * style="text-align:center"|“||the diverse lengths of isochronous pendulums in different latitudes compared among themselves, both by observations and by the theory of gravity,||nowrap="nowrap"|409 to 413
 * colspan=2| defined, and distinguished into absolute and relative,||78
 * colspan=2| of bodies moving in conic sections found to any assigned time,||153
 * colspan=2| not carried about by corporeal vortices,||378
 * }
 * colspan=2| of bodies moving in conic sections found to any assigned time,||153
 * colspan=2| not carried about by corporeal vortices,||378
 * }
 * colspan=2| not carried about by corporeal vortices,||378
 * }