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

### From inside the book

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**Solution**derived from complete Integral - Practical In- terpretation of the complete**Solution**of the Characteristic Equation - Properties of Surfaces of Equal Action- Examples of Varying Action - Application to common Optics or Kinetics ... Page xv

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**Solution**- Algebra of Linear Equations - Minors of a De- terminant - Relations among the Minors of an Evanescent Determinant - Case of Equal Roots - Case of Equal Roots and Evanescent Minors - Routh's Theorem - Case of no Motional ... Page xvi

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**Solution**for case of Equal Periods Two higher , and two lower , of the Four Funda- mental Oscillations , similarly dealt with by**Solution**of two similar Quadratics , provided that gyrostatic in- fluence be fully dominant - Limits of ... Page xvii

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**Solution**of Simultaneous Linear Equations . III . An Integrating Machine having a New Kinematic Principle - Disk- , Globe- , and Cylinder - Integrator . IV . An Instrument for calculating f ( x ) ( x ) dx , the Integral of the Product ... Page 19

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**solution**, at all events of a**solution**to any degree of approximation that may be desired . The same is true if the total acceleration and its direction . at every instant , or simply its rectangular components , be given , provided the ...### 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.