Book IV. Of the theory of universal gravitation. Book V. Abridgment of the history of astronomyRichard Phillips, Bridge Street, Blackfriars. ... W. Flint, printer, Old Bailey., 1809 - 380 pages |
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Page 7
... forces of these two points are as the squares of the velocities . The sectors de- scribed in the ... centrifugal forces in the os- culatory circumferences are evidently equal to ... force were sufficient to demon- strate the tendency of B 4 7.
... forces of these two points are as the squares of the velocities . The sectors de- scribed in the ... centrifugal forces in the os- culatory circumferences are evidently equal to ... force were sufficient to demon- strate the tendency of B 4 7.
Page 27
... centrifugal force given in the preceding book . The result de- rived from them is , that the gravity of a satellite towards its planet is to the gra- vity of the Earth towards the Sun , as the mean radius of the orbit of the satellite ...
... centrifugal force given in the preceding book . The result de- rived from them is , that the gravity of a satellite towards its planet is to the gra- vity of the Earth towards the Sun , as the mean radius of the orbit of the satellite ...
Page 36
... centrifugal force due to the rotation of these planets . The same body would weigh 27,65 at the equator of the Sun , and falling bodies would describe one hundred metres in the first second of their descent . CHAP . III . Of the ...
... centrifugal force due to the rotation of these planets . The same body would weigh 27,65 at the equator of the Sun , and falling bodies would describe one hundred metres in the first second of their descent . CHAP . III . Of the ...
Page 74
... centrifugal force might equal its gravity , diminished by the action of the Sun , and that its radius vector might de- scribe the same sector that it would have described without this action ; this radius would be augmented by its 358th ...
... centrifugal force might equal its gravity , diminished by the action of the Sun , and that its radius vector might de- scribe the same sector that it would have described without this action ; this radius would be augmented by its 358th ...
Page 117
... centrifugal force arising from this motion , causing the particles situated at the equator , to recede from the centre , and produce a flattening of the poles . Let us consider first the effects of this circumstance in the most simple ...
... centrifugal force arising from this motion , causing the particles situated at the equator , to recede from the centre , and produce a flattening of the poles . Let us consider first the effects of this circumstance in the most simple ...
Common terms and phrases
Almagest analysis ancient astronomy atmosphere attractive force augment cause celestial bodies centre of gravity centrifugal force century CHAP circumference comets consider cosine cube density determined diminished diminution direction discoveries distance Earth elliptic elliptic motion embouchure epoch equa equal equilibrium equinoxes excentricity existence fluid force of gravity geometrician Hipparchus hypothesis inclination inequalities insensible Jupiter Kepler length libration longitude lunar orbit lunar tide mass mean motions meridian Moon motion of rotation mutual action nature nearly Newton nodes nutation observations ocean oscillations parallax particles pendulum perigee perihelion perijoves period pheno phenomena planetary planetary orbits planets poles precession principle produce proportional Ptolemy quadratures quantity radii radius vector ratio result retardation retrograde motion revolution ring round the Sun satellites Saturn secular equation sensible shewn sidereal sine solar tide sphere spheroid square stars strata Sun and Moon suppose surface sysygies tance terrestrial orbit theory tion universal gravitation variations vations velocity
Popular passages
Page 340 - Considering it with attention, we are astonished to see all the planets move round the Sun from west to east, and nearly in the same plane, all the satellites moving round their respective planets in the same direction, and nearly in the same plane with the planets.
Page 234 - I differ in opinion from a learned and illustrious astronomer, who, after having honoured his career by labours useful both to science and humanity, perished a victim to the most sanguinary tyranny, opposing the calmness and dignity of virtue, to the revilings of an infatuated people, who wantonly prolonged the last agonies of his existence.
Page 357 - Seduced by the illusions of the senses, and of self. love, man considered himself for a long time as the centre of the motion of the celestial bodies, and his pride was justly punished by the vain terrors they inspired. The labour of many ages has at length withdrawn the veil which covered the system. Man appears...
Page 84 - ... that the mean longitude of the first satellite, minus three times that of the second, plus twice that of the third, is always equal to two right angles.
Page 326 - ... combined action of the Sun and Earth on this satellite. But with the exception of what concerns the elliptic motion of the planets and comets, the attraction of spherical bodies, and the intensity of gravity at the surface of the Sun, and of those planets that are accompanied by satellites, all 342 these discoveries were only sketched by Newton.
Page 347 - From a consideration of the planetary motions, we are therefore brought to the conclusion, that in consequence of an excessive heat, the solar atmosphere originally extended beyond the orbits of all the planets, and that it has successively contracted itself within its present limits.
Page 343 - ... to the ecliptic, we find that the mean inclination of the orbits of all the observed comets, approaches near to 100°, which would be the case if the bodies had been projected at random.
Page 324 - He extended this proposition afterwards by analogy, to all the celestial bodies, and established as a principle, that all particles of matter attract each other directly as their mass, and inversely as the square of their distance.
Page 50 - It is easy to represent the effect of such a shock upon the Earth — the axis and motion of rotation changed — the waters abandoning their ancient position to precipitate themselves towards the new equator — the greater part of men and animals drowned in a universal deluge, or destroyed by the violence of the shock given to the terrestrial globe — whole species destroyed — all the monuments of human industry reversed — such are the effects which the shock of a comet would produce." " We...
Page 234 - The Indian tables indicate a knowledge of astronomy considerably advanced, but every thing shews that it is not of an extremely remote antiquity. And here, with regret, I differ in opinion from a learned and illustrious astronomer, whose fate is a terrible proof of the inconstancy of popular favour, who, after having honoured his career by labours useful both to science and humanity, perished a victim to the most sanguinary tyranny, opposing the calmness and dignity of virtue, to the revilings of...