Treatise on Natural Philosophy, Volume 1, Part 1At the University Press, 1879 - Mechanics, Analytic |
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Page xiv
... Solution derived from complete Integral - Practical In- terpretation of the complete Solution of the Characteristic Equation - Properties of Surfaces of Equal Action- Examples of Varying Action - Application to common Optics or Kinetics ...
... Solution derived from complete Integral - Practical In- terpretation of the complete Solution of the Characteristic Equation - Properties of Surfaces of Equal Action- Examples of Varying Action - Application to common Optics or Kinetics ...
Page xv
... Solution - Algebra of Linear Equations - Minors of a De- terminant - Relations among the Minors of an Evanescent Determinant - Case of Equal Roots - Case of Equal Roots and Evanescent Minors - Routh's Theorem - Case of no Motional ...
... Solution - Algebra of Linear Equations - Minors of a De- terminant - Relations among the Minors of an Evanescent Determinant - Case of Equal Roots - Case of Equal Roots and Evanescent Minors - Routh's Theorem - Case of no Motional ...
Page xvi
... Solution for case of Equal Periods Two higher , and two lower , of the Four Funda- mental Oscillations , similarly dealt with by Solution of two similar Quadratics , provided that gyrostatic in- fluence be fully dominant - Limits of ...
... Solution for case of Equal Periods Two higher , and two lower , of the Four Funda- mental Oscillations , similarly dealt with by Solution of two similar Quadratics , provided that gyrostatic in- fluence be fully dominant - Limits of ...
Page xvii
... Solution of Simultaneous Linear Equations . III . An Integrating Machine having a New Kinematic Principle - Disk- , Globe- , and Cylinder - Integrator . IV . An Instrument for calculating fø ( x ) ( x ) dx , the Integral of the Product ...
... Solution of Simultaneous Linear Equations . III . An Integrating Machine having a New Kinematic Principle - Disk- , Globe- , and Cylinder - Integrator . IV . An Instrument for calculating fø ( x ) ( x ) dx , the Integral of the Product ...
Page 19
... solution , at all events of a solution to any degree of approximation that may be desired . The same is true if the total acceleration and its direction at every instant , or simply its rectangular components , be given , provided the ...
... solution , at all events of a solution to any degree of approximation that may be desired . The same is true if the total acceleration and its direction at every instant , or simply its rectangular components , be given , provided the ...
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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.