CONTENTS 



Introduction. 



Section i. 

 II. 



Rudiments of the Mathematics 



Of Quantity and Number . Page I 

 Of the Comparison of Variable 



Quantities 10 



14 

 44 

 55 



III. Of Space 



IV. Of the Properties of Curves . 

 Celestial Mechanics. Book I. ^Divisions 

 Chapter I. Of 3Iotion, Force, and Pressure 



Section I. Of Undisturbed Motion . . 

 II. Of Simple ^Accelerating Forces 

 Of Pressure and Equilibrium 

 Of Deflective Forces .... 



Chapter 

 Chapter 



Chapter 

 Chapter 



III. 



II. 



III. 



. 57 

 . 72 



. 85 

 ] 109 



IV. 

 V. 



Chapter VI. 



Chapter VII. 



Chapter VIII. 

 Appendix A. 

 Appendix B. 



Of the Equilibrium of a System 



of Bodies 166 



Of the Equilibrium of Fluids , . 190 

 General Principles of the Motion 



of a System of Bodies . . .198 

 Of the Laws of the Motion of a 

 System of Bodies, according to 

 any relation mathematically pos- 

 sible between Force and Velocity 229 

 Of the Motions of a solid Body 



of any given Dimensions . . . 236 

 Of the Motions of Fluids . . . 279 

 Of the Cohesion of Fluids . . . 329 

 Of Interpolation and Extermina- 

 tion 338 



