Xiv CONTENTS. 



6. The motion of a particle in a resisting medium round a 



centre of force - 212 



a. The method used by Newton - - ib. 



(3. The method supplied by the Planetary Theory. 



Section IV. - - - - 217 



CHAPTER IV. 



THE MOTION OF FLUIDS, AND THE RESISTANCE TO BODIES 

 MOVING IN THEM. SECTION VII. 



1. Newton s investigation of the law of resistance to similar 



bodies - 221 



2. The manner in which the resistance depends on the form. 



of the body. Newton, xxxiv. and xxxv. - - 226 



3. Their resistance when the body is a surface pf revolution 228 



4. The surface of least resistance, its properties and form 



Scholium, Prop, xxxiv. - - 229 



5. The law of resistance deduced from experiment. Prop. 



XL. and Scholium - - - - 233 



NOTE V. THE RESISTANCE MADE TO BODIES MOVING IN 



FLUIDS DEDUCED FROM THE GENERAL PRINCIPLES OF DY 

 NAMICS. 



1 . The equation of motion - 344 



a. The ordinary hydrodynamics - ib. 

 (3. How changed when &quot; internal friction&quot; is taken into 



account - - 345 



2. The ordinary law of resistance - 346 



a. How deduced from the equations of motion - 347 



/3. The general results of experiments m ade since New 

 ton s time compared with the law - - 349 

 y. The resistance should be deduced from a rigorous 

 solution of the equations of motion adapted to the 

 case under consideration,, case of the pendulum - 357 



3. The resistance to a pendulum - - ib. 



a. Bessel s mode of expressing the resistance - - ib. 



(3. The careful experiments of Sabine, Baily, Cou 

 lomb, &c. - 360 



y. Poisson deduces the nature of the motion and the re 

 sistance from the ordinary Hydrodynamic equations - 36 2 



(j. On comparing the theory with experiment they are 



found not to agree - 363 



e. Professor Stokes takes into account the effects of 

 internal friction - - 365 



. The results agree with experiment - 366 



