Page:Newton's Principia (1846).djvu/584
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578
index to the principia.
| Mars, its periodic time, | 388 | |
| “ | its distance from the sun, | 389 |
| “ | the motion of its aphelion, | 405 |
| Matter, its quantity of matter defined, | 73 | |
| “ | its vis insita defined, | 74 |
| “ | its impressed force defined, | 74 |
| “ | its extension, hardness, impenetrability, mobility, vis inertiæ, gravity, how discovered, | 385 |
| “ | subtle matter of Descartes inquired into, | 320 |
| Mechanical Powers explained and demonstrated, | 94 | |
| Mercury, its periodic time, | 388 | |
| “ | its distance from the sun, | 389 |
| “ | the motion of its aphelion, | 405 |
| Method of first and last ratios, | 95 | |
| “ | of transforming figures into others of the same analytical order, | 141 |
| “ | of fluxions, | 261 |
| “ | differential, | 447 |
| “ | of finding the quadratures of all curves very nearly true, | 448 |
| “ | of converging series applied to the solution of difficult problems, | 271, 436 |
| Moon, the inclination of its orbit to the ecliptic greatest in the syzygies of the node with the sun, and least in the quadratures, | 208 | |
| “ | the figure of its body collected by calculation, | 454 |
| “ | its librations explained, | 405 |
| “ | its mean apparent diameter, | 453 |
| “ | its true diameter, | 453 |
| “ | weight of bodies on its surface, | 453 |
| “ | its density, | 453 |
| “ | its quantity of matter, | 453 |
| “ | its mean distance from the earth, how many greatest semi-diameters of the earth contained therein, | 453 |
| “ | how many mean semi-diameters, | 454 |
| “ | its force to move the sea how great, | 449 |
| “ | not perceptible in experiments of pendulums, or any statical or hydrostatical observations, | 452 |
| “ | its periodic time, | 454 |
| “ | the time of its synodical revolution, | 422 |
| “ | its motions, and the inequalities of the same derived from their causes, | 413, 144 |
| “ | revolves more slowly, in a dilated orbit, when the earth is in its perihelion; and more swiftly in the aphelion the same, its orbit being contracted, | 413, 444, 445 |
| “ | revolves more slowly, in a dilated orbit, when the apogæon is in the syzygies with the sun; and more swiftly, in a contracted orbit, when the apogæon is in the quadratures, | 445 |
| “ | revolves more slowly, in a dilated orbit, when the node is in the syzygies with the sun; and more swiftly, in a contracted orbit, when the node is in the quadratures, | 446 |
| “ | moves slower in its quadratures with the sun, swifter in the syzygies; and by a radius drawn to the earth describes an area, in the first case less in proportion to the time, in the last case greater, | 413 |
| “ | the inequality of those areas computed, | 420 |
| “ | its orbit is more curve, and goes farther from the earth in the first case; in the last case its orbit is less curve, and comes nearer to the earth, | 415 |
| “ | the figure of this orbit, and the proportion of its diameters collected by computation, | 423 |
| “ | a method of finding the moon s distance from the earth by its horary motion, | 423 |
| “ | its apogæon moves more slowly when the earth is in its aphelion, more swiftly in the perihelion, | 414, 445 |
| “ | its apogæon goes forward most swiftly when in the syzygies with the sun; and goes backward in the quadratures, | 414, 446 |
| “ | its eccentricity greatest when the apogæon is in the syzygies with the sun; least when the same is in the quadratures, | 414, 446 |
| “ | its nodes move more slowly when the earth is in its aphelion, and more swiftly in the perihelion, | 414, 445 |
| “ | its nodes are at rest in their syzygies with the sun, and go back most swiftly in the quadratures | 414 |