## Treatise on Natural Philosophy, Volume 1, Part 1At the University Press, 1879 - Mechanics, Analytic |

### From inside the book

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**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

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**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

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**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 ... Page xvi

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**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

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**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 ...### Contents

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### Common terms and phrases

acceleration action algebraic altered angular velocity anticlastic application axis Cambridge centre of inertia circle co-ordinates coefficients component condition configuration constant corresponding course curvature curve cycloidal cylinder denote determined differential equation direction cosines displacement distance dt dt dx dy dy dy dy dz ellipsoid elongation equal equations of motion equilibrium expression finite fixed force formula function geometrical given gyrostatic harmonic motions Hence impulse infinitely small instant integral kinetic energy length linear momentum moving negative osculating plane P₁ parallel particle perpendicular polygon position principal axes quadratic quadratic function quantity radius ratio rectangular resultant right angles rigid body rolling roots rotation round shear simple harmonic simple harmonic motions solution spherical harmonic spherical surface St John's College strain suppose tangent plane theorem tion values whole Y₁ λ² аф

### 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.