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

### From inside the book

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**acceleration**of relative motion . The two corresponding divisions of Dynamics are thus conveniently entitled Statics and Kinetics . One object which we have constantly kept in view is the grand principle of the Conservation of Energy ... Page ix

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**Acceleration**. 28-30 Resolution and Composition of**Accelerations**30-33 Determination of the Motion from given Velocity or Ac- celeration 33-35 · •**Acceleration**directed to a Fixed Centre 36 Hodograph 37-39 Curves of Pursuit 40 Angular ... Page 9

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**acceleration**( or force ) required to produce such a motion of a point ( or material particle ) will be afterwards investi- gated ( § 35 d . ) . line . 14. A chain , cord , or fine wire , or a fine fibre , filament , or Flexible hair ... Page 13

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**accelerations**and forces , consists mainly in studying , not the velocity ,**acceleration**, or force , directly , but its components parallel to any three assumed directions at right angles to each other . Thus , for a train moving up an ... Page 16

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**accelerated**or re- tarded according as it increases or diminishes , but the word**acceleration**is generally used in either sense , on the understand- ing that we may regard its quantity as either positive or nega- tive .**Acceleration**of ...### 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.