CHAPTER VI

.--SEQUEL TO THE GENERALIZATION OF THE PRINCIPLES OF

MECHANICS.--PERIOD OF MATHEMATICAL DEDUCTION.--ANALYTICAL MECHANICS. 362

1. Geometrical Mechanics.--Newton, &c. 363 2. Analytical Mechanics.--Euler. 363 3. Mechanical Problems. 364 4. D'Alembert's Principle. 365 5. Motion in Resisting Media.--Ballistics. 365 6. Constellation of Mathematicians. 366 7. The Problem of Three Bodies. 367 8. Mécanique Céleste, &c. 371 9. Precession.--Motion of Rigid Bodies. 374 10. Vibrating Strings. 375 11. Equilibrium of Fluids.--Figure of the Earth.--Tides. 376 12. Capillary Action. 377 13. Motion of Fluids. 378 14. Various General Mechanical Principles. 380 15. Analytical Generality.--Connection of Statics and Dynamics. 381 {19}

## BOOK VII.

HISTORY OF PHYSICAL ASTRONOMY.

## CHAPTER I .--PRELUDE TO THE INDUCTIVE EPOCH OF NEWTON. 385

##