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

### From inside the book

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Page xii

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**Particle**and Point - Inertia . Force - Specification of a Force - Place of Application - Direc- tion - Magnitude - Accelerative Effect - Measure of Force Standards of Weight are Masses , and not primarily intended for Measurement of ... Page xiv

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**Particle**- Application to System of free mutually influencing**Particles**-- and to Generalized System · Slightly disturbed Equilibrium - Simultaneous Transformation of two Quadratic Functions to Sums of Squares - Gene- ralized Orthogonal ... Page xvi

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**Particle**moving on a Smooth Surface - Incommensurable Oscillations - Oscil- latory Kinetic Stability - Limited Kinetic Stability- Kinetic Stability of a Projectile - General criterion - Ex- amples - Motion of a**Particle**on an ... Page 1

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**particle**, however , there cannot generally be any such abrupt changes of direction , since ( as we shall afterwards see ) this would imply the action of an infinite force , except in the case in which the velocity becomes zero at the ... Page 6

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**particle**, and the statics of a flexible cord . To find the tortuosity , аф " ds equation above , with λ , μ , v substituted for l , m , n , and 1 du 1 dv 7 ds ' 7 ds T for a , , B , Y. we have only to apply the general 1 αλ Tds dv ds 2 ...### 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.