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

### From inside the book

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... naturally led to the consideration of the curvature and tortuosity of curves , the curvature of surfaces , distortions or

... naturally 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 xi

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**Strain**- Definition of Homogeneous**Strain**- Properties of Ho- mogeneous**Strain**-**Strain**Ellipsoid - Change of Volume -Axes of a**Strain**- Elongation and Change of Direction of any Line of the Body - Change of Plane in the Body ... Page 115

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**Strain**. Definition of homo- geneous**strain**. Properties of 8-2 150. ] 115 KINEMATICS . Page 116

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**strain**. Properties of homo- geneous**strain**. * experienced by a solid or liquid mass , or by a group of points whose positions with regard to each other are subject to known conditions . Any such definite alteration of form or ... Page 117

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**strain**. Let + x2 y3 a2 b2 = 1 axes , be the equation of an ellipse referred to any rectilineal conjugate in the substance , of the body in its initial state . Let a and B ...**strain**.**Strain**ellipsoid . Change 158.1 117 KINEMATICS .### 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.