Analytical Mechanics

Section I — The Various Principles of Statics.- Section II — A General Formula of Statics and its Application to the Equilibrium of an Arbitrary System of Forces.- Section III — The General Properties of Equilibrium of a System of Bodies Deduced from the Preceding Formula.- Section IV. A More General and Simpler Way to Use the Formula of Equilibrium Presented in Section II.- Section V — The Solution of Various Problems of Statics.- Section VI. The Principles of Hydrostatics.- Section VII. The Equilibrium of Incompressible Fluids.- Section VIII. The Equilibrium of Compressible and Elastic Fluids.- Section I. The Various Principles of Dynamics.- Section II. A General Formula of Dynamics for the Motion of a System of Bodies Moved by Arbitrary Forces.- Section III. General Properties of Motion Deduced from the Preceding Formula.- Section IV. Differential Equations for the Solution of All Problems of Dynamics.- Section V. A General Method of Approximation for the Problems of Dynamics Based on the Variation of Arbitrary Constants.- Section VI. The Very Small Oscillations of an Arbitrary System of Bodies.- Section VII. The Motion of a System of Free Bodies Treated as Mass Points and Acted Upon by Forces of Attraction.- Section VIII. The Motion of Constrained Bodies Which Interact in an Arbitrary Fashion.- Section IX. Rotational Motion.- Section X. The Principles of Hydrodynamics.- Section XI. The Motion of Incompressible Fluids.- Section XII. The Motion of Compressible And Elastic Fluids.