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

### From inside the book

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**application**of analysis . Nothing can be more fatal to progress than a too confident reliance on mathematical symbols ; for the student is only too apt to take the easier course , and consider the formula and not the fact as the ... Page xii

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**Application**- Direc- tion - Magnitude - Accelerative Effect - Measure of Force Standards of Weight are Masses , and not primarily intended for Measurement of Force - Clairaut's Formula for the Amount of Gravity - Gauss's absolute Unit ... Page xiv

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**Applications**to Nautical Dynamics and Gunnery - Action Time Average of Energy - Space Average of Momentums - Least ...**Application**to System of free mutually influencing Particles -- and to Generalized System · Slightly disturbed ... Page xvi

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**Application**of Routh's Theorem - Equal Roots with instability in tran- sitional cases between Stability and Instability - Condi tions of gyrostatic domination - Gyrostatic Links ex- plained - Gyrostatically dominated System : its ... Page xvii

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**Applications**to two Degrees of Freedom - Hamilton's Second Form - Liouville's Kinetic Theorem CHAPTER III ...**application**- Method of Least Squares - Methods re- presenting experimental results - Curves - Interpolation and ...### 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.