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

### From inside the book

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Page v

... led to the consideration of the curvature and tortuosity of

... led to the consideration of the curvature and tortuosity of

**curves**, the curvature of surfaces , distortions or strains , and various other purely geometrical subjects . The Laws of Motion , the Law of Gravitation and b2. Page ix

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**Curve**5,6 Curvature and Tortuosity of a Tortuous**Curve**7-9 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 ... Page x

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**Curve**on**Curve**- Cycloids and Trochoids - Properties of the Cycloid - Epicycloid , Hy- pocycloids , etc. Motion of a Rigid Body about a Fixed Point - Euler's Theorem -Rodrigues ' Co - ordinates - Composition of Rotations- Composition ... Page xi

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**Curve**- Rotation of a Rigid Closed**Curve**- Tangential Displacement in a Solid , in terms of Components of Strain - Heterogeneous Strain -Homogeneous Strain - Infinitely small Strain - Most general Motion of Matter - Change of ... Page xvii

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**Curves**- Interpolation and Empirical Formulę CHAPTER IV . - MEASURES AND INSTRUMENTS . Necessity of accurate Measurements - Classes of Instruments -Calculating Machines - Angular Measure - Measure of Time - Necessity for a Perennial ...### 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.