Treatise on Natural Philosophy, Volume 1, Part 1At the University Press, 1879 - Mechanics, Analytic |
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Page vii
... given as the foundation of a system in any of the sciences . The dynamical use of the Generalized Cöordinates of LAGRANGE , and the Vary- ing Action of HAMILTON , with kindred matter , complete the chapter . The third chapter ...
... given as the foundation of a system in any of the sciences . The dynamical use of the Generalized Cöordinates of LAGRANGE , and the Vary- ing Action of HAMILTON , with kindred matter , complete the chapter . The third chapter ...
Page x
... given Rotations Most general Motion of a Rigid Body Precessional Rotation - Model illustrating Precession of Equi- noxes • · SECTIONS 78-94 95-101 · 102 , 103 104-107 • Free rotation of a Body kinetically symmetrical about an axis ...
... given Rotations Most general Motion of a Rigid Body Precessional Rotation - Model illustrating Precession of Equi- noxes • · SECTIONS 78-94 95-101 · 102 , 103 104-107 • Free rotation of a Body kinetically symmetrical about an axis ...
Page xvii
... given Functions . V. Mechanical Integration of Linear Differential Equations of the Second Order with Variable Coefficients . VI . Mechanical Integration of the general Linear Differential Equation of any Order with Variable ...
... given Functions . V. Mechanical Integration of Linear Differential Equations of the Second Order with Variable Coefficients . VI . Mechanical Integration of the general Linear Differential Equation of any Order with Variable ...
Page 8
... given curve . The average curvature is , as in the case of a Integral curvature ( compare § 136 ,. S- plane curve ... given curve . Let be the curvature and the tortuosity of the given -- P curve , and do an element of its length . Then ...
... given curve . The average curvature is , as in the case of a Integral curvature ( compare § 136 ,. S- plane curve ... given curve . Let be the curvature and the tortuosity of the given -- P curve , and do an element of its length . Then ...
Page 11
... given time is greater or less : and it may be uniform , i.e. , the same at every instant ; or it may be variable . Uniform velocity is measured by the space passed over in unit of time , and is , in general , expressed in feet per ...
... given time is greater or less : and it may be uniform , i.e. , the same at every instant ; or it may be variable . Uniform velocity is measured by the space passed over in unit of time , and is , in general , expressed in feet per ...
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Common terms and phrases
acceleration action algebraic angular velocity anticlastic application Cambridge centre of inertia circle co-ordinates coefficients component configuration constant corresponding course curvature curve cycloidal cylinder degrees of freedom denote determined differential equation direction cosines displacement distance dt dt dt dy dx dy dy dy dy dz dynamical ellipsoid equal equations of motion equilibrium expression finite fluid force formula function give given gyrostatic Hence impulse infinitely small instant integral kinetic energy length linear mass measured momentum moving negative notation osculating plane P₁ parallel particle path perpendicular polygon position principal axes principle quadratic quadratic function quantity radius rectangular resultant rigid body rolling roots rotation round simple harmonic motions solution space spherical harmonic spherical surface St John's College strain suppose tangent plane theorem tion values whole zero αξ
Popular passages
Page 241 - Every body continues in its state of rest or of uniform motion in a straight line, except in so far as it may be compelled by impressed forces to change that state.