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index to the principia.
| Planets, their periodic times, | 388 | |
| “ | their distances from the sun, | 389 |
| “ | the aphelia and nodes of their orbits do almost rest, | 405 |
| “ | their orbits determined, | 406 |
| “ | the way of finding their places in their orbits, | 347 to 350 |
| “ | their density suited to the heat they receive from the sun, | 400 |
| “ | their diurnal revolutions equable. | 406 |
| “ | their axes less than the diameters that stand upon them at right angles, | 406 |
| Planets, Primary, surround the sun, | 387 | |
| “ “ | move in ellipses whose focus is in the sun s centre, | 403 |
| “ “ | by radii drawn to the sun describe areas proportional to the times, | 388, 403 |
| “ “ | revolve in periodic times that are in the sesquiplicate proportion of the distances from the sun, | 387 |
| “ “ | are retained in their orbits by a force of gravity which respects the sun, and is reciprocally as the square of the distance from the sun s centre, | 389, 393 |
| Planets, Secondary, move in ellipses having their focus in the centre of the primary, | 413 | |
| “ “ | by radii drawn to their primary describe areas proportional to the times, | 386, 387, 390 |
| “ “ | revolve in periodic times that are in the sesquiplicate proportion of their distances from the primary, | 386, 387 |
| Problem Keplerian, solved by the trochoid and by approximations, | 157 to 160 | |
| “ “ | of the ancients, of four lines, related by Pappus, and attempted by Cartesius, by an algebraic calculus solved by a geometrical composition, | 135 |
| Projectiles move in parabolas when the resistance of the medium is taken away, | 91, 115, 243, 273 | |
| “ | their motions in resisting mediums, | 255, 268 |
| Pulses of the air, by which sounds are propagated, their intervals or breadths determined, | 368, 370 | |
| “ | these intervals in sounds made by open pipes probably equal to twice the length of the pipes, | 370 |
| Quadratures general of oval figures not to be obtained by finite terms, | 153 | |
| Qualities of bodies how discovered, and when to be supposed universal, | 384 | |
| Resistance, the quantity thereof in mediums not continued, | 329 | |
| “ | in continued mediums, | 409 |
| “ | in mediums of any kind whatever, | 331 |
| “ | of mediums is as their density, cæteris paribus, | 320, 321, 324, 329, 344, 355 |
| “ | is in the duplicate proportion of the velocity of the bodies resisted, cæteris paribus, | 258, 314, 374, 329, 344,351 |
| “ | is in the duplicate proportion of the diameters of spherical bodies resisted, cæteris paribus, | 317, 318, 329, 344 |
| “ | of fluids threefold, arises either from the inactivity of the fluid matter, or the tenacity of its parts, or friction, | 286 |
| “ | the resistance found in fluids, almost all of the first kind, | 321, 354 |
| “ | cannot be diminished by the subtilty of the parts of the fluid, if the density remain, | 355 |
| “ | of a globe, what proportion it bears to that of a cylinder, in mediums not continued, | 327 |
| “ | in compressed mediums, | 343 |
| “ | of a globe in mediums not continued, | 329 |
| “ | in compressed mediums, | 344 |
| “ | how found by experiments, | 345 to 355 |
| “ | to a frustum of a cone, how made the least possible, | 328 |
| “ | what kind of solid it is that meets with the least, | 329 |
| Resistances, the theory thereof confirmed by experiments of pendulums, | 313 to 321 | |
| “ | by experiments of falling bodies, | 345 to 356 |
| Rest, true and relative, | 78 | |
| Rules of philosophy, | 384 | |
| Satellites, the greatest heliocentric elongation of Jupiter's satellites, | 387 | |
| “ | the greatest heliocentric elongation of the Huygenian satellite from Saturn's centre, | 398 |
| “ | the periodic times of Jupiter s satellites, and their distances from his centre, | 386, 387 |
| “ | the periodic times of Saturn s satellites, and their distances from his centre, | 387, 388 |
| “ | the inequalities of the motions of the satellites of Jupiter and Saturn derived from the motions of the moon, | 413 |
| Sesquiplicate proportion defined, | 101 | |
