Treatise on Natural Philosophy, Volume 1, Issue 1University Press, 1879 - Calculators |
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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- Acceleration directed to a Fixed Centre Curves of Pursuit 30-33 • 33-35 36 37-39 40 Angular Velocity and Acceleration 41-44 Relative Motion Resultant Motion 45-49 50 , 51 Harmonic Motion 52-57 ...
... Motion from given Velocity or Ac- Acceleration directed to a Fixed Centre Curves of Pursuit 30-33 • 33-35 36 37-39 40 Angular Velocity and Acceleration 41-44 Relative Motion Resultant Motion 45-49 50 , 51 Harmonic Motion 52-57 ...
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 ...
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Common terms and phrases
acceleration action algebraic angular velocity anticlastic application arbitrary axis Cambridge centre of inertia circle co-ordinates coefficients component configuration constant corresponding course curvature curve cycloidal cylinder denote determined differential equation direction cosines displacement distance dt dt dt dy dx dy dy dy dy dz ellipsoid equal equations of motion equilibrium expression finite fixed force formula function give given gyrostatic harmonic motions Hence impulse infinitely small instant integral kinetic energy Lagrange's linear mass measured momentum moving negative 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 simple harmonic motions solution spherical harmonic spherical surface St John's College strain suppose tangent plane theorem tion values variable whole Y₁ αξ λ² аф
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