Page:Newton's Principia (1846).djvu/587

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index to the principia.
581
Saturn, its periodic time, 388
its distance from the sun, 388
its apparent diameter, 388
its true diameter, 399
its attractive force, how great, 398
the weight of bodies on its surface, 399
its density, 399
its quantity of matter, 399
its perturbation by the approach of Jupiter how great, 403
the apparent diameter of its ring, 388
Shadow of the earth to be augmented in lunar eclipses, because of the refraction of the atmosphere, 447
Sounds, their nature explained, 360, 363, 365, 366, 367, 368, 369
not propagated in directum, 359
caused by the agitation of the air, 368
their velocity computed, 368, 369
somewhat swifter by the theory in summer than in winter, 370
cease immediately, when the motion of the sonorous body ceases, 365
how augmented in speaking trumpets, 370
Space, absolute and relative, 78, 79
not equally full, 396
Spheroid, the attraction of the same when the forces of its particles are reciprocally as the squares of the distances, 239
Spiral cutting all its radii in a given angle, by what law of centripetal force tending to the centre thereof it may be described by a revolving body, 107, 287, 291
Spirit pervading all bodies, and concealed within them, hinted at, as required to solve a great many phenomena of Nature, 508
Stars, the fixed stars demonstrated to be at rest, 404
their twinkling what to be ascribed to, 487
new stars, whence they may arise, 502
Substances of all things unknown, 507
Sun, moves round the common centre of gravity of all the planeta, 401
the periodic time of its revolution about its axis, 405
its mean apparent diameter, 453
its true diameter, 398
its horizontal parallax, 398
has a menstrual parallax, 403
its attractive force how great, 398
the weight of bodies on its surface, 399
its density, 399
its quantity of matter, 399
its force to disturb the motions of the moon, 391, 419
its force to move the sea, 448
Tides of the sea derived from their cause, 415, 448, 449
Time, absolute and relative, 78, 79
the astronomical equation thereof proved by pendulum clocks, and the eclipses of Jupiter's satellites, 79
A Vacuum proved, or that all spaces (if said to be full) are not equally full, 396
Velocities of bodies moving in conic sections, where the centripetal force tends to the focus, 121
Velocity, the greatest that a globe falling in a resisting medium can acquire, 344
Venus, its periodic time, 388
its distance from the sun, 388
the motion of its aphelion, 405
Vortices, their nature and constitution examined, 504
Waves, the velocity with which they are propagated on the superficies of stagnant water, 361
Weights of bodies towards the sun, the earth, or any planet, are, at equal distances from the centre, as the quantities of matter in the bodies, 394
they do not depend upon the forms and textures of bodies, 395
of bodies in different regions of the earth found out, and compared together, 409