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A Treatise Upon Analytical Mechanics: Being the First Book of the Mechanique ...
Pierre Simon Laplace
No preview available - 2017
acted action added angle appears areas axes axis axis of rotation become body cause centre of gravity changed co-ordinates composed consequently consider constant quantities contain curve denote density described determine differential direction distance drawn earth equal equation equilibrium evident exact expression fluid following equations forces function give given indefinitely small independent inertia instant integral invariable living forces manner mass means molecules moments motion movement moving multiplied mutual naming nature necessary observed obtained origin parallel passing perpendicular plane position possible preceding pressure principal axes projection proportional radius rectangular reduced relative remain represent resolved respect resultant right line rotation side similar solicited solid space square substituted supposed surface taken third thread tion values variations vary velocity
Page 50 - due to the centrifugal force, is equal to the square of the velocity divided by the radius of curvature of the
Page 51 - a surface, is equal to the square of the velocity divided by the radius of curvature
Page 50 - the centrifugal force is equal to the square of the velocity divided by the radius.
Page 214 - the moment of inertia with respect to an axis passing through the centre of gravity of
Page 158 - of the motion of the centre of gravity of a system of bodies, whatever
Page 25 - 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 50 - to the square of the velocity divided by the radius of curvature, the