Mechanism of the HeavensJ. Murray, 1831 - 621 pages |
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Page vi
... move , and the enormous distances between them , impress the mind with some notion of the energy that maintains them in their motions with a durability to which we can see no limits . Equally conspicuous is the goodness of the great ...
... move , and the enormous distances between them , impress the mind with some notion of the energy that maintains them in their motions with a durability to which we can see no limits . Equally conspicuous is the goodness of the great ...
Page viii
... move in a curve of a different nature . Kepler ascer- tained by direct observation that the planets describe ellipses round the sun , and later observations show that comets also move in conic sections : it consequently follows that ...
... move in a curve of a different nature . Kepler ascer- tained by direct observation that the planets describe ellipses round the sun , and later observations show that comets also move in conic sections : it consequently follows that ...
Page x
... move with an equal velocity in a straight line ; but if the impulse does not pass through the centre of gravity ... moves in space accompanied by all those bodies which compose the solar system , a circum- stance that would in no ...
... move with an equal velocity in a straight line ; but if the impulse does not pass through the centre of gravity ... moves in space accompanied by all those bodies which compose the solar system , a circum- stance that would in no ...
Page xi
... moves in its elliptical orbit with a velocity varying every instant , in consequence of two forces , one ... move in any known or symmetrical curve , but in paths now approaching to , and now receding from the elliptical form ...
... moves in its elliptical orbit with a velocity varying every instant , in consequence of two forces , one ... move in any known or symmetrical curve , but in paths now approaching to , and now receding from the elliptical form ...
Page xii
... move in orbits of unstable equilibrium , their mutual at- tractions might have changed them into parabolas or even ... moves ; and on that account , astronomers refer their motions to it at a given epoch as a known and fixed ...
... move in orbits of unstable equilibrium , their mutual at- tractions might have changed them into parabolas or even ... moves ; and on that account , astronomers refer their motions to it at a given epoch as a known and fixed ...
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Common terms and phrases
A₁ action angle ascending node attraction axes axis 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 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 perturbations planets preceding equation radius vector ratio regard retrograde motion 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 δα δε δυ
Popular passages
Page xv - That day, as other solemn days, they spent In song and dance about the sacred hill ; Mystical dance, which yonder starry sphere Of planets, and of fix'd, in all her wheels Resembles nearest, mazes intricate, Eccentric, intervolved, yet regular Then most, when most irregular they seem ; And in their motions harmony divine So smooths her charming tones, that God's own ear Listens delighted.
Page xviii - ... 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 vii - His works, but trace, with precision, the operation of His laws, use the globe he inhabits as a base wherewith to measure the magnitude and distance of the sun and planets, and make the diameter of the earth's orbit the first step of a scale by which he may ascend to the starry firmament. Such pursuits, while they ennoble the mind, at the same time inculcate humility, by showing that there is a barrier which no energy, mental or physical, can ever enable us to pass: that, however profoundly we may...
Page xlix - An account of experiments for determining the length of the pendulum vibrating seconds in the latitude of London.
Page xiv - But, in the midst of all these vicissitudes, the length of the major axes and the mean motions of the planets remain permanently independent of secular changes. They are so connected by Kepler's law, of the squares of the periodic times being proportional to the cubes of the mean distances of the planets from the sun, that one cannot vary without affecting the other.
Page lxix - If the attraction of the sun for the огпtre of the earth, and of the hemisphere diametrically opposite to him, were diminished by a difficulty in penetrating the interposed matter, the tides would be more obviously affected. Its attraction is the same also, whatever the substances of the celestial bodies may be; for if the action of...
Page vi - is to inspire the love of truth, of wisdom, of beauty — especially of goodness, the highest beauty — and of that supreme and eternal Mind, which contains all truth and wisdom, all beauty and goodness. By the love or delightful contemplation and pursuit of these transcendent aims, for their own sake only, the mind of man is raised from low and perishable objects, and prepared for those high destinies which are appointed for all those who are capable of them.
Page xii - ... depends upon the velocity with which they were first propelled in space. Had that velocity been such as to make the planets move in orbits of unstable equilibrium, their mutual attractions might have changed them into parabolas, or even hyperbolas, so that the earth and planets might, ages ago, have been sweeping far from our sun through the abyss of space.
Page lxiv - Jupiter ; it then gradually diminished in splendor, and having exhibited all the variety of tints that indicate the changes of combustion, vanished sixteen months after its discovery, without altering its position. It is impossible to imagine anything more tremendous than a conflagration that could be visible at such a distance.