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index to the principia.
579
| Moon the motions of the nodes and the inequalities of its motions computed from the theory of gravity, | 427, 430, 434, 436 | |
| “ | the same from a different principle, | 437 |
| “ | the variations of the inclination computed from the theory of gravity, | 441, 443 |
| “ | the equations of the moon s motions for astronomical uses, | 445 |
| “ | the annual equation of the moon s mean motion, | 445 |
| “ | the first semi-annual equation of the same, | 443 |
| “ | the second semi-annual equation of the same, | 447 |
| “ | the first equation of the moon s centre, | 447 |
| “ | the second equation of the moon s centre, | 448 |
| Moon's first variation, | 425 | |
| “ | the annual equation of the mean motion of its apogee, | 445 |
| “ | the semi-annual equation of the same, | 447 |
| “ | the semi-annual equation of its eccentricity, | 447 |
| “ | the annual equation of the mean motion of its nodes, | 445 |
| “ | the semi-annual equation of the same, | 437 |
| “ | the semi-annual equation of the inclination of the orbit to the ecliptic, | 444 |
| “ | the method of fixing the theory of the lunar motions from observations, | 464 |
| Motion, its quantity defined, | 73 | |
| “ | absolute and relative, | 78 |
| “ | absolute and relative, the separation of one from the other possible, demonstrated by an example | 82 |
| “ | laws thereof, | 83 |
| “ | of concurring bodies after their reflection, by what experiments collected, | 91 |
| “ | of bodies in eccentric sections, | 116 |
| “ | in moveable orbits, | 172 |
| “ | in given superficies, and of the reciprocal motion of pendulums, | 183 |
| “ | of bodies tending to each other with centripetal forces, | 194 |
| “ | of very small bodies agitated by centripetal forces tending to each part of some very great body, | 233 |
| “ | of bodies resisted in the ratio of the velocities, | 251 |
| “ | in the duplicate ratio of the velocity, | 258 |
| “ | partly in the simple and partly in the duplicate ratio of the same, | 280 |
| “ | of bodies proceeding by their vis insita alone in resisting mediums, | 251, 258, 259, 280, 281, 330 |
| “ | of bodies ascending or descending in right lines in resisting mediums, and acted on by an uniform force of gravity, | 252, 265, 281, 283 |
| “ | of bodies projected in resisting mediums, and acted on by an uniform force of gravity, | 255, 268 |
| “ | of bodies revolving in resisting mediums, | 287 |
| “ | of funependulous bodies in resisting mediums, | 304 |
| “ | and resistance of fluids, | 323 |
| “ | propagated through fluids, | 356 |
| “ | of fluids after the manner of a vortex, or circular, | 370 |
| Motions, composition and resolution of them, | 84 | |
| Ovals for optic uses, the method of finding them which Cartesius concealed, | 246 | |
| “ | a general solution of Cartesius's problem, | 247, 248 |
| Orbits, 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 | |
| “ | of those which are described by bodies when the centripetal force is reciprocally as the cube of the distance, | 114, 171, 176 |
| “ | of those which are described by bodies agitated by any centripetal forces whatever, | 168 |
| Parabola, by what law of centripetal force tending to the focus of the figure the same may be described, | 120 | |
| Pendulums, their properties explained, | 186, 190, 304 | |
| “ | the diverse lengths of isochronous pendulums in different latitudes compared among themselves, both by observations and by the theory of gravity, | 409 to 413 |
| Place defined, and distinguished into absolute and relative, | 78 | |
| Places of bodies moving in conic sections found to any assigned time, | 153 | |
| Planets not carried about by corporeal vortices, | 378 | |
