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

### From inside the book

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**Force**introduced - Matter -**Force**- Mass -Density - Measurement of Mass - Momentum - Change of Momentum - Rate of change of Momentum - Kinetic Energy - Particle and Point - Inertia .**Force**- Specification of a**Force**- Place of ... Page xiii

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**Forces**— Definition of Principal Axes of Inertia - Principal Axes— Binet's Theorem - Central Ellipsoid ...**Force**- of Impulse - Im- pulsive Generation of Motion referred to Generalized Co - ordinates - Momentums in terms of ... Page xv

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**Forces**- Differ- ential Equations of Complex Cycloidal Motion - Their Solution - Algebra of Linear Equations - Minors ...**force**- Excepted case of failing gy- rostatic predominance - Quadruply free Cycloidal System , gyrostatically ... Page xvii

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**Force**- Ergometer -Friction Brakes · APPENDIX B ' .- CONTINUOUS CALCULATING MACHINES . I. Tide - predicting Machine . SECTIONS 356-368 369-382 383-398 ' 399-413 • 414-437 II . Machine for the Solution of Simultaneous Linear Equations ... Page 1

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**force**, mass , elasticity , temperature , magnetism , electricity . The preliminary consideration of such properties in the abstract is of very great use for Natural Philo- sophy , and we devote to it , accordingly , the whole of this ...### 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.