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

### From inside the book

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**Rotations**- Rolling Cones - Position of the Body due to given**Rotations**• Most general Motion of a Rigid Body Precessional**Rotation**- Model illustrating Precession of Equi- noxes Free**rotation**of a Body kinetically symmetrical about an ... Page xi

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**Rotation**Pure Strain - Composition of Pure Strains • • Displacement of a Curve - Tangential Displacement — Tan- gential Displacement of a Closed Curve -**Rotation**of a Rigid Closed Curve - Tangential Displacement in a Solid , in terms of ... Page xv

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**rotating**System - Quadruply free Gyro- static System without force - Excepted case of failing gy- rostatic predominance - Quadruply free Cycloidal System , gyrostatically dominated - Four Irrotational Stabilities confirmed , four ... Page xvi

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**Rotation**- Proof of reality of Adynamic and of Precessional Periods when system's Irrotational Periods are either all real or all imaginary - Algebraic Theorem SECTIONS 344-345xxvili Kinetic Stability - Conservative disturbance of motion ... Page 32

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**rotation**. We may compound this with the similarly calculable velocity of the earth in its orbit . This resultant again we may compound with the ( roughly known ) velocity of the sun relatively to the so - called fixed stars ; but ...### 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.