Xll CONTENTS. 



Page 



IV. Motion of projectiles in resisting media. (Section VII. Prin- 



cipia, in part.) 



V. Pressure and motion of fluids. 



i. Statics of fluids, or hydrostatics. (Section V. Principia.) 

 ii. Motion of fluids, or hydraulics. (Section VII Principia, 



in part.) 



iii. Motion propagated through fluids, whether elastic or non- 

 elastic, including the pulses and waves, or acoustics. (Sec 

 tion VIII. Principia.} 



iv. Circular motion of fluids, or vortices. (Section IX. Prin 

 cipia.) 



Two general remarks on Book II., 163. Much done before 

 Newton, ib. Summary of former discoveries, ib. Archimedes, 

 ib. Galileo, ib, Pascal, ib. Torricelli, 164. Much left 



to succeeding inquirers, ib Bernouilli, ib. Clairaut, ib. 



Laplace, 165. Value of this portion still great, and only less 

 than that of the rest of the Principia, ib. 



ANALYTICAL VIEW. 

 PRINCIPIA. BOOK SECOND. 



CHAPTER I. 



THE ELEMENTARY PRINCIPLES OF HYDROSTATICS, AND THE 

 LAWS OF DENSITY OF AN ELASTIC FLUID COLLECTED ROUND 

 A CENTRE OF FORCE. 



I. Elementary Principles of Hydrostatics . - 167 



1. What a fluid is, the terms viscosity, solidity, &c., - ib. 



2. What the foundation is on which the theory of Hydrosta 

 tics is built. Newton, xix. - - 168 



3. The fundamental equation by which we know the pro 



perties of a fluid in equilibrium. Note I. - - 315 



4&amp;lt;. Three consequences of this equation. Note I. - ib. 

 (1.) That there must in all cases be a certain relation 



among the forces - - ib- 



(2.) Level surfaces are surfaces of equal density - 318 



(3.) Level surfaces are surfaces of equal temperature - 319 



5. Newton, xx., fluids under the action of gravity only - 1 70 



II. The Law of Density in a compressible Fluid under the 

 action of a central force - 1 70 



