Treatise on Natural Philosophy, Volume 1, Part 1

acceleration action altered angular velocity anticlastic application Cambridge centre of inertia change of direction circle co-ordinates coefficients component condition configuration constant corresponding course curvature curve cycloidal cylinder degrees of freedom denote determined diagram differential equation direction cosines distance dt dt dx dy dy dz ellipse ellipsoid elongation equal equations of motion equilibrium expression finite fixed fluid force function geometrical given gyrostatic Hence infinitely small initial instant integral kinetic energy length linear ment momentum moving parallel parallelepiped particle perpendicular polygon position principal axes quantity radius ratio rectangular resultant right angles rigid body rolling roots rotation round shear simple harmonic simple harmonic motions simple shear solution spherical harmonic spherical surface strain suppose synclastic tangent plane tangential displacement theorem tion twist values whole αξ λ²