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

### From inside the book

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**Integral**Curvature of a Curve ( compare § 136 ) 10-13 • Flexible Line - Cord in Mechanism 14-16 • Evolute and Involute . Velocity 17-19 • • 20-24 Resolution of Velocity 25 , 26 Composition of Velocities 27 Acceleration . 28-30 ... Page x

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**Integral**change of direction in a Surface - Change of direction in a Sur- face of any arc traced on it •**Integral**Curvature — Curvatura integra - Horograph - Change of direction round the boundary in the surface , together with area of ... Page xi

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**Integral**Equation of Continuity- Differential Equation of Continuity- " Steady Motion " defined . Freedom and Constraint - Of a Point - Of a Rigid Body - Geo- metrical Clamp -- Geometrical Slide - Examples of Geo- metrical Slide ... Page xiii

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**integral**- Ballistic Pendulum - Direct Impact of Spheres - Effect of Elasticity - Newton's Experiments- Distribution of Energy after Impact - Newton's experi- mental Law consistent with perfect Elasticity Moment of an Impact about an ... Page xiv

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**Integral**of Characteristic Equation - General 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 ...### 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.