Treatise on Natural Philosophy, Volume 1At the University Press, 1888 - Mechanics, Analytic |
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... actions , with Additional Notes by the Author . Vol . I. Demy 8vo . Vol . II . 155 . [ Volume III . In the Press . AN ELEMENTARY TREATISE ON QUATERNIONS . By P. G. TAIT , M. A. , Professor of Natural Philosophy in the University of ...
... actions , with Additional Notes by the Author . Vol . I. Demy 8vo . Vol . II . 155 . [ Volume III . In the Press . AN ELEMENTARY TREATISE ON QUATERNIONS . By P. G. TAIT , M. A. , Professor of Natural Philosophy in the University of ...
Page vi
... action of force , whether it maintains relative rest , or pro- duces acceleration of relative motion . The two corresponding divisions of Dynamics are thus conveniently entitled Statics and Kinetics . One object which we have constantly ...
... action of force , whether it maintains relative rest , or pro- duces acceleration of relative motion . The two corresponding divisions of Dynamics are thus conveniently entitled Statics and Kinetics . One object which we have constantly ...
Page vii
... Action of HAMILTON , with kindred matter , complete the chapter . The third chapter , " Experience , " treats briefly of Observa- tion and Experiment as the basis of Natural Philosophy . The fourth chapter deals with the fundamental ...
... Action of HAMILTON , with kindred matter , complete the chapter . The third chapter , " Experience , " treats briefly of Observa- tion and Experiment as the basis of Natural Philosophy . The fourth chapter deals with the fundamental ...
Page xiv
... Action— Principle of Least Action applied to find Lagrange's Generalized Equations of Motion -- Why called " Station- ary Action " by Hamilton Varying Action Action expressed as a Function of Initial and Final Co - ordinates and the ...
... Action— Principle of Least Action applied to find Lagrange's Generalized Equations of Motion -- Why called " Station- ary Action " by Hamilton Varying Action Action expressed as a Function of Initial and Final Co - ordinates and the ...
Page xvi
... Action - Action never a Minimum in a course including Kinetic Foci - Two or more Courses of Minimum Action possible - Case of two mini- mum , and one not minimum , Geodetic Lines between two Points - Difference between two sides and the ...
... Action - Action never a Minimum in a course including Kinetic Foci - Two or more Courses of Minimum Action possible - Case of two mini- mum , and one not minimum , Geodetic Lines between two Points - Difference between two sides and the ...
Contents
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Common terms and phrases
action altered angular velocity anticlastic B₁ Cambridge centre of inertia change of direction circle co-ordinates coefficients component condition configuration constant corresponding curvature curve cycloidal cylinder degrees of freedom Demy 8vo denote diagram differential equation direction cosines distance dt dt dx dy dx² dy dy dy dz edition ellipse ellipsoid elongation equal equations of motion equilibrium expression finite fixed fluid force function geodetic geometrical given gyrostatic Hence infinitely small initial integral kinetic energy length moving P₁ parallel parallelepiped particle perpendicular polygon position principal axes quadratic function quantity radius ratio rectangular 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 theorem tion twist values Y₁ αξ λ² аф
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