CONTENTS 



THE SECOND VOLUME. 



THE MECHANICAL SCIENCES. :j 



BOOK VI. / 



HISTORY OF MECHANICS, INCLUDING FLUID 

 MECHANICS. 



.PAGK 



Introduction ........ 5 



CHAPTER I- PRELUDE TO THE EPOCH OF GALILEO. 

 Sect. 1. Prelude to the Science of Statics .... 7 



Sect. 2. Revival of the Scientific Idea of Pressure. Stevinus. 



Equilibrium of Oblique Forces . . . 14 

 Seel. 3. Prelude to the Science of Dynamics. Attempts at 



the First Law of Motion . . . .18 



CHAPTER II INDUCTIVE EPOCH OF GALILEO. DISCOVERY 



OF THE LAWS OF MOTION IN SlMPLE CASES. 



Sect. 1. Establishment of the First Law of Motion . 23 



Sect. 2. Formation and Application of the Notion of Acce- 

 lerating Force. Laws of Falling Bodies . 27 



Sect. 3. Establishment of the Second Law of Motion. Cur- 

 vilinear Motions ..... 37 



Sect. 4. Generalization of the Laws of Equilibrium. Prin- 

 cipal of Virtual Velocities . . . .40 



Sect. 5. Attempts at the Third Law of Motion. Notion of 



Momentum 45 



CHAPTER III. SEQUEL TO THE EPOCH OF GALILEO. PERIOD 



OF VERIFICATION AND DEDUCTION . . 53 



CHAPTER IV. DISCOVERY OF THE MECHANICAL PRINCIPLES 



, OF FLUIDS. 



Sect. 1. Rediscovery of the Laws of Equilibrium of Fluids 62 

 Sect . 2. Discovery of the Laws of Motion of Fluids . 68 



VOL ii. a 



