This page has been validated.
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 |