[TABLE OF CONTENTS.]
Statics.
- The Lever.
- The Inclined Plane.
- The Composition of Forces.
- Virtual Velocities.
- Statics in Their Application to Fluids.
- Statics in Their Application to Gases.
Dynamics.
- Galileo's Achievements.
- Achievements of Huygens.
- Achievements of Newton.
- Principle of Reaction.
- Criticism of the Principle of Reaction and of the Concept of Mass.
- Newton's Views of Time, Space, and Motion.
- Critique of the Newtonian Enunciations.
- Retrospect of the Development of Dynamics.
The Extension of the Principles of Mechanics.
- Scope of the Newtonian Principles.
- Formulæ and Units of Mechanics.
- Conservation of Momentum, Conservation of the Centre of Gravity, and Conservation of Areas.
- Laws of Impact.
- D'Alembert's Principle.
- Principle of Vis Viva.
- Principle of Least Constraint.
- Principle of Least Action.
- Hamilton's Principle.
- Hydrostatic and Hydrodynamic Questions.
Formal Development of Mechanics.
- The Isoperimetrical Problems.
- Theological, Animistic, and Mystical Points of View in Mechanics.
- Analytical Mechanics.
- The Economy of Science.