Treatise on Natural Philosophy, Volume 1, Part 1At the University Press, 1879 - Mechanics, Analytic |
From inside the book
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Page x
... Fixed Point - Euler's Theorem -Rodrigues ' Co - ordinates - Composition of Rotations- Composition of Angular Velocities - Composition of suc- cessive Finite Rotations - Rolling Cones - Position of the Body due to given Rotations Most ...
... Fixed Point - Euler's Theorem -Rodrigues ' Co - ordinates - Composition of Rotations- Composition of Angular Velocities - Composition of suc- cessive Finite Rotations - Rolling Cones - Position of the Body due to given Rotations Most ...
Page xi
... fixed Analysis of a Strain into Distortion and 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 ...
... fixed Analysis of a Strain into Distortion and 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 ...
Page 7
... fixed point , to move so as always to be parallel to the direction of motion of a point describing the curve : the ... fixed point , parallel to tangents at successive points of the curve . These lines will form a conical surface ...
... fixed point , to move so as always to be parallel to the direction of motion of a point describing the curve : the ... fixed point , parallel to tangents at successive points of the curve . These lines will form a conical surface ...
Page 23
... fixed point , the path is in a plane passing fixed centre . through that point ; and in this plane the areas traced out by the radius - vector are proportional to the times employed . This includes the case of a satellite or planet ...
... fixed point , the path is in a plane passing fixed centre . through that point ; and in this plane the areas traced out by the radius - vector are proportional to the times employed . This includes the case of a satellite or planet ...
Page 24
... fixed centre . velocity perpendicular to this plane at starting , there is there- fore none throughout the motion ; thus the point moves in the plane . And had there been no acceleration , the point would have described a straight line ...
... fixed centre . velocity perpendicular to this plane at starting , there is there- fore none throughout the motion ; thus the point moves in the plane . And had there been no acceleration , the point would have described a straight line ...
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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.