Treatise on Natural Philosophy, Volume 1At the University Press, 1888 - Mechanics, Analytic |
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Page vi
... motion in the abstract . Keeping in view the proprieties of language , and following the example of the most logical writers , we employ the term Dynamics in its true sense as the science which treats of the action of force , whether it ...
... motion in the abstract . Keeping in view the proprieties of language , and following the example of the most logical writers , we employ the term Dynamics in its true sense as the science which treats of the action of force , whether it ...
Page ix
... Motion from given Velocity or Ac- celeration 33-35 Acceleration directed to a Fixed Centre 36 • Hodograph 37-39 • Curves of Pursuit 40 Angular Velocity and Acceleration 41-44 Relative Motion 45-49 Resultant Motion 50 , 51 Harmonic Motion ...
... Motion from given Velocity or Ac- celeration 33-35 Acceleration directed to a Fixed Centre 36 • Hodograph 37-39 • Curves of Pursuit 40 Angular Velocity and Acceleration 41-44 Relative Motion 45-49 Resultant Motion 50 , 51 Harmonic Motion ...
Page xiii
... Motion of any System - Inde- terminate Equation of Motion of any System - of Conser- vative System - Equation of Energy - Constraint intro- duced into the Indeterminate Equation - Determinate Equations of Motion deduced - Gauss's ...
... Motion of any System - Inde- terminate Equation of Motion of any System - of Conser- vative System - Equation of Energy - Constraint intro- duced into the Indeterminate Equation - Determinate Equations of Motion deduced - Gauss's ...
Page xiv
... Motion of a Conservative System - Examples of the use of Lagrange's Generalized Equations of Motion - Gyroscopes and Gy- rostats ― Gyroscopic Pendulum - Ignoration of Co - ordi- nates Kinetics of a perfect fluid - Effect of a Rigid ...
... Motion of a Conservative System - Examples of the use of Lagrange's Generalized Equations of Motion - Gyroscopes and Gy- rostats ― Gyroscopic Pendulum - Ignoration of Co - ordi- nates Kinetics of a perfect fluid - Effect of a Rigid ...
Page xv
... 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 De ...
... 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 De ...
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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