CHAPTER II

.--INDUCTIVE EPOCH OF GALILEO.--DISCOVERY OF THE LAWS OF

MOTION IN SIMPLE CASES.

_Sect._ 1. Establishment of the First Law of Motion. 322 _Sect._ 2. Formation and Application of the Motion of Accelerating Force. Laws of Falling Bodies. 324 _Sect._ 3. Establishment of the Second Law of Motion.--Curvilinear Motions. 330 _Sect._ 4. Generalization of the Laws of Equilibrium.--Principle of Virtual Velocities. 331 _Sect._ 5. Attempts at the Third Law of Motion.--Notion of Momentum. 334

## CHAPTER III .--SEQUEL TO THE EPOCH OF GALILEO.--PERIOD OF

VERIFICATION AND DEDUCTION. 340

## CHAPTER IV .--DISCOVERY OF THE MECHANICAL PRINCIPLES OF FLUIDS.

_Sect._ 1. Rediscovery of the Laws of Equilibrium of Fluids. 345 _Sect._ 2. Discovery of the Laws of Motion of Fluids. 348

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