Treatise on Natural Philosophy, Volume 1, Part 1At the University Press, 1879 - Mechanics, Analytic |
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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 ...
Page xvii
... Action , beyond a Kinetic Focus -A course which includes no Focus conjugate to either extremity includes no pair of conjugate Foci - How many Kinetic Foci in any case - Theorem of Maximum Action -Applications to two Degrees of Freedom ...
... Action , beyond a Kinetic Focus -A course which includes no Focus conjugate to either extremity includes no pair of conjugate Foci - How many Kinetic Foci in any case - Theorem of Maximum Action -Applications to two Degrees of Freedom ...
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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.