Treatise on Natural Philosophy, Volume 1At the University Press, 1888 - Mechanics, Analytic |
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Page vii
... simple , and at the same time so comprehensive , has ever been given as the foundation of a system in any of the sciences . The dynamical use of the Generalized Coordinates of LAGRANGE , and the Vary- ing Action of HAMILTON , with ...
... simple , and at the same time so comprehensive , has ever been given as the foundation of a system in any of the sciences . The dynamical use of the Generalized Coordinates of LAGRANGE , and the Vary- ing Action of HAMILTON , with ...
Page ix
... Simple Harmonic Motions in one Line 58-61 Mechanism for compounding , and Graphical Representation of , Harmonic Motions in one Line 62 Composition of S. H. M. in different directions , including Composition of two Uniform Circular ...
... Simple Harmonic Motions in one Line 58-61 Mechanism for compounding , and Graphical Representation of , Harmonic Motions in one Line 62 Composition of S. H. M. in different directions , including Composition of two Uniform Circular ...
Page xi
... Simple Shear - Axes of a Shear - Measure of a Shear - Ellipsoidal specification of a Shear - Analysis of a Strain Displacement of a Body , rigid or not , one point of which is held fixed • SECTIONS 139-153 154-179 • 180 , 181 182 ...
... Simple Shear - Axes of a Shear - Measure of a Shear - Ellipsoidal specification of a Shear - Analysis of a Strain Displacement of a Body , rigid or not , one point of which is held fixed • SECTIONS 139-153 154-179 • 180 , 181 182 ...
Page xv
... simple Motion Infinitely small Motion of a Dissipative System - Cycloidal System defined - Positional and Motional Forces Differ- ential Equations of Complex Cycloidal Motion - Their Solution - Algebra of Linear Equations - Minors of a ...
... simple Motion Infinitely small Motion of a Dissipative System - Cycloidal System defined - Positional and Motional Forces Differ- ential Equations of Complex Cycloidal Motion - Their Solution - Algebra of Linear Equations - Minors of a ...
Page xvi
... Simple Pendulum - Kinetic Stability in Cir- cular Orbit - Kinetic Stability of a Particle moving on a Smooth Surface - Incommensurable Oscillations - Oscil- latory Kinetic Stability - Limited Kinetic Stability- Kinetic Stability of a ...
... Simple Pendulum - Kinetic Stability in Cir- cular Orbit - Kinetic Stability of a Particle moving on a Smooth Surface - Incommensurable Oscillations - Oscil- latory Kinetic Stability - Limited Kinetic Stability- Kinetic Stability of a ...
Contents
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Common terms and phrases
action altered angular velocity anticlastic B₁ Cambridge centre of inertia change of direction circle co-ordinates coefficients component condition configuration constant corresponding curvature curve cycloidal cylinder degrees of freedom Demy 8vo denote diagram differential equation direction cosines distance dt dt dx dy dx² dy dy dy dz edition ellipse ellipsoid elongation equal equations of motion equilibrium expression finite fixed fluid force function geodetic geometrical given gyrostatic Hence infinitely small initial integral kinetic energy length moving P₁ parallel parallelepiped particle perpendicular polygon position principal axes quadratic function quantity radius ratio rectangular right angles rigid body rolling roots rotation round shear simple harmonic simple harmonic motions simple shear solution spherical harmonic spherical surface strain suppose synclastic tangent plane theorem tion twist values Y₁ αξ λ² аф
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