Treatise on Natural Philosophy, Volume 1, Part 1At the University Press, 1879 - Mechanics, Analytic |
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Results 1-5 of 89
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 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.