Looks at various topics of elementary mechanics.

Translation of Élémens de mécanique.

Statics --Introductory remarks and definitions -- Of the composition and decomposition of forces -- Of forces situated in the same plane and applied to a single point -- General remarks on forces situated in any manner in space -- Of forces situated in space and applied to a point -- Of the conditions of equilibrium of a point acted upon by several forces, and subjected to the condition of remaining upon a given surface -- Of the conditions of equilibrium of a point acted upon by several forces, and subjected to the condition of remaining constantly on two curved surfaces, or on a curve of double curvature -- Of parallel forces -- Of forces situated in the same plane and applied to points connected together in an invariable manner -- Of forces acting in any manner in space -- Theory of the principal planes, and analogy existing between projections and moments -- Centre of gravity -- Of the centrobaryc method -- Machines - cords -- Of the catenary -- Of the lever -- Of the pulley -- Of the wheel and axle -- Of the inclined plane -- Of the screw -- Of the wedge -- Friction -- Effects of friction in certain machines -- Of the stiffness of cordage -- On the resistance of solids -- Of the resistance to compression or extension -- Of the resistance of a solid to flexure and fracture produced by a force acting at right angles to the direction of the fibres -- Of the figure of the solid after flexure -- Of solids of equal resistance -- Of the principle of virtual velocities -- Of the position of the centre of gravity of a system when in equilibrio -- Dynamics -- Of the law of inertia -- Of uniform rectilinear motion -- Of varied motion -- Of uniformly varied motion -- Of the motion of a body projected vertically upward -- Of the vertical motion of a body when acted upon by the force of gravity considered as variable -- Of the vertical motion of a body in a resisting medium -- Of the motions of bodies upon inclined planes -- Of curvilinear motion -- Of the motion of a material point when compelled to describe a particular cove -- Of the motion of a material point when compelled to move upon a curved surface -- Of the motion of a material point on the arc of a cycloid -- Of oscillatory motion -- Of the simple pendulum -- Of the centrifugal force -- Of the system of the world -- Of the motions of projectiles in vacuo -- Of the motion of projectiles in a resisting medium -- Of the different methods of measuring the effects of forces -- Of the direct impact of bodies -- Of the direct impact of unelastic bodies -- Of the direct impact of elastic bodies -- Of the preservation of the motion of the centre of gravity in the impact of bodies -- Of the preservation of living forces in the impact of elastic bodies - relative velocity before and after impact - loss of living force in the collision of unelastic bodies -- Principle of D'Alembert -- Of the motion of a body about a fixed axis -- Of the moment of inertia -- Of the motion of a body about a fixed axis when acted upon by incessant forces -- Of the compound pendulum -- Of the motions of a body in space when acted upon by impulsive forces -- Of the motions of a system in space when acted upon by impulsive forces -- Of the motions of a system in space when acted upon by incessant forces -- General equations of the motions of a system of bodies -- General principle of the preservation of the motion of the centre of gravity -- Hydrostatics -- Of the pressure of fluids -- General equations of the equilibrium of fluids -- Application of the general equations of equilibrium to compressible fluids -- Application of the general equations of equilibrium to elastic fluids -- Of the pressure of heavy fluids -- Of the equilibrium, stability, and oscillations of floating bodies -- Specific gravity - hydrostatic balance - hydrometer -- Of the pressure and elasticity of atmospheric air -- Of pumps for raising water -- Of the air-pump -- Of the barometer -- Hydrodynamics -- Of the discharge of fluids through horizontal orifices -- Of the motion of water in pipes.