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apogee appear astronomy attraction axis calculated called cause celestial sphere centre century circle Cloth boards colours complete consider Copernik Copernikan system direction discovered discovery diurnal motion eccentricity ecliptic effect ellipse epicycles equal equant equator exactly explained fact fixed stars force acts Galileo greater Halley heavenly bodies hence Herschel Hipparchus inequality inferior planets inversely Jupiter Jupiter and Saturn Kepler labours Lagrange Laplace latus rectum law of gravitation laws of motion libration light line joining line of apses magnitudes mass mathematical moon moon's motion moon's orbit nearer nearly Newton nodes observed particle passed path perigee perturbing force physical astronomy position produced proportional Ptolemy radius vector reason regress rest revolution rotation round the sun satellites Saturn seems seen solar system space spherical straight line supposed syzygy telescope theory tion true Tycho Brahe uniform rate universe Uranus velocity verified vibrations whole
Seite 240 - If I have seen further than other men, it is because I have stood on the shoulders of giants.
Seite 114 - I was sure of my discovery ; what, sixteen years ago, I urged as a thing to be sought; that for which I joined Tycho Brahe, for which I settled in Prague, for which I have devoted the best part of my life to astronomical contemplations ; — at length I have brought to light, and have recognised its truth beyond my most sanguine expectations.
Seite vi - Admission to its sanctuary, and to the privileges and feelings of a- votary, is only to be gained by one means — sound and sufficient knowledge of mathematics, the great instrument of all exact inquiry, without which no man can ever make such advances in this or any other of the higher departments of science as can entitle him to form an independent opinion on any subject of discussion within their range.
Seite 140 - Animals which move have limbs and muscles ; the earth has no limbs or muscles, therefore it does not move. It is angels who make Saturn, Jupiter, the sun, etc., turn round. If the earth revolves, it must also have an angel in the centre to set it in motion ; but only devils live there, it would therefore be a devil who would impart motion to the earth.
Seite 131 - Every body continues in its state of rest or of uniform motion in a straight line, except in so far as it may be compelled by impressed forces to change that state.
Seite 169 - that every particle of matter in the universe attracts every other particle, with a force whose direction is that of the line joining the two, and whose magnitude is directly as the product of their masses, and inversely as the square of their distances from each other.
Seite 135 - Change of motion is proportional to the impressed force and takes place in the direction of the straight line in which the force acts.
Seite 274 - Often I would keep myself awake that I might listen to their animating remarks, for it made me so happy to see them so happy. But generally their conversation would branch out on philosophical subjects, when my brother William and my father often argued with such warmth, that my mother's interference became necessary, when the names Leibnitz, Newton, and Euler sounded rather too loud for the repose of her little ones, who ought to be in school by seven in the morning.
Seite 297 - Venus a pea, on a circle of 284 feet in diameter; the Earth also a pea, on a circle of 430 feet; Mars a rather large pin's head, on a circle of 654 feet; the Asteroids, grains of sand, in orbits of from.