Treatise on Natural Philosophy, Volume 1, Part 1At the University Press, 1879 - Mechanics, Analytic |
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Page x
... 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 • · SECTIONS 78-94 95-101 · 102 , 103 104-107 • Free rotation ...
... 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 • · SECTIONS 78-94 95-101 · 102 , 103 104-107 • Free rotation ...
Page xi
... 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 ...
... 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
... 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 ...
... 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
... Rotation- Proof of reality of Adynamic and of Precessional Periods when system's Irrotational Periods are either all real or all imaginary - Algebraic Theorem Kinetic Stability - Conservative disturbance of motion - Ki- netic Stability ...
... Rotation- Proof of reality of Adynamic and of Precessional Periods when system's Irrotational Periods are either all real or all imaginary - Algebraic Theorem Kinetic Stability - Conservative disturbance of motion - Ki- netic Stability ...
Page 32
... 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 ...
... 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 ...
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Common terms and phrases
acceleration action algebraic angular velocity anticlastic application Cambridge centre of inertia circle co-ordinates coefficients component configuration constant corresponding course curvature curve cycloidal cylinder degrees of freedom denote determined differential equation direction cosines displacement distance dt dt dt dy dx dy dy dy dy dz dynamical ellipsoid equal equations of motion equilibrium expression finite fluid force formula function give given gyrostatic Hence impulse infinitely small instant integral kinetic energy length linear mass measured momentum moving negative notation osculating plane P₁ parallel particle path perpendicular polygon position principal axes principle quadratic quadratic function quantity radius rectangular resultant rigid body rolling roots rotation round simple harmonic motions solution space spherical harmonic spherical surface St John's College strain suppose tangent plane theorem tion values whole zero αξ
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.