# A Treatise on Spherical Astronomy

University Press, 1908 - Spherical astronomy - 506 pages

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### Contents

 CHAPTER 1 THE USE OF SPHERICAL COORDINATES 25 CHAPTER III 43 CHAPTER IV 69 RIGHT ASCENSION AND DECLINATION CELESTIAL 82 CHAPTER VI 103 ATMOSPHERIC REFRACTION 116 questions on refraction 140
 CHAPTER XII 277 THE GEOCENTRIC PARALLAX OF THE SUN 297 CHAPTER XIV 312 CHAPTER XV 326 CHAPTER XVI 346 CHAPTER XVII 358 CHAPTER XVIII 376 CHAPTER XIX 383

 CHAPTER VIII 171 SIDEREAL TIME AND MEAN TIME 201 CHAPTER X 226 THE ABERRATION OF LIGHT 248
 PLANETARY PHENOMENA 407 THE GENERALIZED INSTRUMENT 431 CHAPTER XXII 458 INDEX AND GLOSSARY 493

### Popular passages

Page 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.
Page 146 - LAW I. 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 to change that state by impressed forces.
Page 299 - The squares of the periodic times of the planets are proportional to the cubes of their mean distances from the sun.
Page 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.
Page 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.
Page 4 - III., when two sides and an angle opposite to one of them are given...
Page 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...
Page 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.
Page 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.
Page 1 - C = cos. c sin. a — sin. c cos. a cos. B ; I sin. b cos. A = cos. a sin. c — sin. a cos. c cos. B. i sin. c cos. A = cos. a sin.