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A Treatise Upon Analytical Mechanics: Being the First Book of the Mechanique ...
Pierre Simon Laplace
No preview available - 2017
accelerating forces angle 9 angular velocity areas axis of rotation become centre of gravity centrifugal force changed co-efficients conse consequently constant quantities curvature curve described denote density determine differential equation direction distance equa equation of equilibrium evident exact differential expression finite fixed point fluid mass fluid molecules forces of impulsion forces which act forces which solicit function give given instant integral invariable plane lamina last equation law of Kepler Let us suppose living forces manner moments of inertia motion moving body multiplied obtained ordinates origin oscillations parallelepiped perpendicular position preceding equation preceding number pressure projection relative represent resolved parallel respect resultant right angled right line second body second member shew solid space spheroid square substituted surface system of bodies third principal axis thread three axes three equations three rectangular tion trigonometry values vanish variations virtual velocities
Page 52 - due to the centrifugal force, is equal to the square of the velocity divided by the radius of curvature of the
Page 53 - a surface, is equal to the square of the velocity divided by the radius of curvature
Page 52 - the centrifugal force is equal to the square of the velocity divided by the radius.
Page 216 - the moment of inertia with respect to an axis passing through the centre of gravity of
Page 160 - of the motion of the centre of gravity of a system of bodies, whatever
Page 27 - body to pass over a space equal to the sum of the spaces which each of them would have
Page 12 - of forces, the sum of the products of each force by the element of its direction is
Page 52 - to the square of the velocity divided by the radius of curvature, the