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aberration apparent approximately assume Astronomy axis azimuth becomes body calculation celestial sphere centre circle Coll consider constant coordinates correction corresponding cosec course declination determined difference direction earth ecliptic effect equal equation error Exam expression fixed follows formula geocentric given gives graduated greatest Greenwich Hence horizon hour angle inclination increase interval known latitude longitude Math mean measured meridian method moon moon's motion move node nole noon obliquity observer obtain orbit parallax parallel passes period perpendicular planet pole position precession projection Prove quantities radius reading refraction regard respectively result right ascension rising rotation round seen setting side sidereal solar spherical star substitution sun's supposed surface taken transit triangle Trip true Venus whence zenith distance zero
Pàgina 147 - Newton generalized the law of attraction into a statement that every particle of matter in the universe attracts every other particle with a force which varies directly as the product of their masses and inversely as the square of the distance between them; and he thence deduced the law of attraction for spherical shells of constant density.
Pàgina 299 - The squares of the periodic times of the planets are proportional to the cubes of their mean distances from the sun.
Pàgina 146 - Change of motion is proportional to the impressed force and takes place in the direction of the straight line in which the force acts.
Pàgina 425 - Up to now we have been explaining to the best of our ability the revolutions of the Earth around the sun and of the moon around the Earth.
Pàgina 4 - III., when two sides and an angle opposite to one of them are given...
Pàgina 13 - A cos 6 = cos a cos c + sin a sin c cos B cos c = cos a cos 6 + sin a sin 6 cos C Law of Cosines for Angles cos A = — cos B...
Pàgina 13 - Triangle to equations (I) they become t sin.- A cos. b = cos. B sin. C + sin. B cos. C cos. a ; I sin. A cos. c = cos. C sin. B + sin. C cos. B cos. a. sin. B cos. c = cos. C sin. A + sin. C cos. A cos.
Pàgina 146 - To every action there is always an equal and contrary reaction ; or, the mutual actions of any two bodies are always equal and oppositely directed in the same straight line.