XVI CONTENTS. 



Page 



.3. Waves in water - - 281 



a. The motion is of the vibratory kind - - 281 



/3. Newton s reasoning on this subject. Newton,, XLIV. - 282 



y. Velocity of waves. Newton, XLV. & XLVI. - - 283 

 e. The nature of the motion of waves as given by a strict 



hydrodynamic theory. Note VIII. - 389 



. Waves caused by the motion of a boat ! - 394 



p. Cause of breakers over sunken rocks - - 396 



0. How the wind raises the waves - - 397 



CHAPTER VIII. 



THE THEORY OF THE TIDES. 



I. Newton s investigation on the tides - 285 



a. The tides considered as a question in the motion of 



fluids, deduced from the Lunar Theory - - 286 



/3. General explanations of eight phenomena of the tides 288 



y. The calculation of the height of the lunar and solar 



tides - - 291 



S. The tides in the moon - - 292 



II. The theories that have been proposed since Newton s time. 



Note IX. - - 398 



1. The Equilibrium Theory - - ib. 



a. Its fundamental hypothesis - - 399 

 /3. The results of calculation made according to this 



theory, three kinds of tides - 40 1 



y. Airy s opinion of this theory - 403 



The Hydrodynamic theory - ib. 



a. Its fundamental assumptions - ib. 



/3. The results of calculation, three kinds of tides - 404 



3. The Wave Theory - - 405 



a. Consideration of ocean tides - - 406 



/3. River tides, results of calculation and explanation of 



the chief phenomena - - 408 



Where this theory fails - 412 



III. Some results of observation - - 413 



CHAPTER IX. 



THE CIRCULAR MOTION OF FLUIDS. 



1. The hypothesis of the Cartesian theory - 296 



2. Newton s hypothesis as to the law of internal friction in 



fluids, the motion of a cylindrical vortex, Ber 

 noulli s objections to this result. Prop. LI. - - 297 



