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

### From inside the book

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**Principal Axes**of Inertia -**Principal Axes**— Binet's Theorem - Central Ellipsoid - Kinetic Symmetry round a Point ; round an Axis Energy in Abstract Dynamics • • 280 , 281 282-285 • · 286-288 · Equilibrium - Principle of Virtual ... Page 20

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**axis**, the path is an ellipse or hyperbola whose**principal**diameters coincide with those**axes**; and the acceleration is directed to or from the origin at every instant . dx dt = 1 , dy dt = VX . Hence · = μνχ , dx dt d'y = μvy , and the ... Page 83

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**principal axis**within the limits of observa- " tion , and the only cause which would restore the uniform " motion ... axes , for if they had all been equal , any alteration in the " crust of the earth would have produced new principal ... Page 117

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**principal axes**become radii at right angles to one another . The elongation of the body along any line is the proportion which the addition to the distance between any two points in that line bears to their primitive distance . 159 ... Page 118

... Axes of a Strain . which is the equation of an ellipsoid , referred to conjugate dia- metral planes , altered it may ...

... Axes of a Strain . which is the equation of an ellipsoid , referred to conjugate dia- metral planes , altered it may ...

**principal axes**of the strain ellip- soid ) , at right angles to one another , which remain at right angles to ...### 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.