Mechanism of the HeavensJ. Murray, 1831 - 621 pages |
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Page v
... velocity , and proportional to their masses . Newton proved , by comparison , that the force which occasions the fall of bodies at the earth's surface , is identical with that which retains the moon in her orbit ; and induction led him ...
... velocity , and proportional to their masses . Newton proved , by comparison , that the force which occasions the fall of bodies at the earth's surface , is identical with that which retains the moon in her orbit ; and induction led him ...
Page ix
... velocity of rotation . For , the centrifugal force diminishes the gravity of the particles at the equator , and equilibrium can only exist when these two forces are balanced by an increase of gravity ; therefore , as the attractive ...
... velocity of rotation . For , the centrifugal force diminishes the gravity of the particles at the equator , and equilibrium can only exist when these two forces are balanced by an increase of gravity ; therefore , as the attractive ...
Page x
... velocity in a straight line ; but if the impulse does not pass through the centre of gravity , its particles having unequal velocities , will give it a rotatory motion at the same time that it is translated in space . These motions are ...
... velocity in a straight line ; but if the impulse does not pass through the centre of gravity , its particles having unequal velocities , will give it a rotatory motion at the same time that it is translated in space . These motions are ...
Page xi
... velocity varying every instant , in consequence of two forces , one tending to the centre of the sun , and the other ... velocity , and brings it towards him with such an accelerated motion , that it at last overcomes the sun's at ...
... velocity varying every instant , in consequence of two forces , one tending to the centre of the sun , and the other ... velocity , and brings it towards him with such an accelerated motion , that it at last overcomes the sun's at ...
Page xii
... velocity with which they were first pro- pelled in space ; had that velocity been such as to make the planets move in orbits of unstable equilibrium , their mutual at- tractions might have changed them into parabolas or even hy ...
... velocity with which they were first pro- pelled in space ; had that velocity been such as to make the planets move in orbits of unstable equilibrium , their mutual at- tractions might have changed them into parabolas or even hy ...
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Common terms and phrases
A₁ action angle ascending node attraction axes axis B₁ becomes c'mv centre of gravity centrifugal force co-ordinates coefficients comets computed conic sections consequently cosines curve density depending determined differential direction disturbing forces dR dR dt dt earth eccentricity ecliptic elements epoch equal equilibrium equinoxes expression fixed plane fluid functions give hence inclination indefinitely small integral Jupiter latitude mass mean anomaly mean distance mean longitude mean motion moon moon's move nearly observation omitted orbit of Jupiter oscillations parallax particle perigee perihelion periodic inequalities perturbations planets preceding equation preceding values radius vector ratio regard rotation satellites Saturn secular inequalities secular variations sidereal sine spheroid square substituted surface system of bodies terrestrial theory tion true longitude Uranus velocity whence zero