Treatise on Natural Philosophy, Volume 1, Part 1At the University Press, 1879 - Mechanics, Analytic |
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Page xi
... Differential Equation of Continuity- " Steady Motion " defined . • Freedom and Constraint - Of a Point - Of a Rigid Body - Geo- metrical Clamp -- Geometrical Slide - Examples of Geo- metrical Slide - Examples of Geometrical Clamps and ...
... Differential Equation of Continuity- " Steady Motion " defined . • Freedom and Constraint - Of a Point - Of a Rigid Body - Geo- metrical Clamp -- Geometrical Slide - Examples of Geo- metrical Slide - Examples of Geometrical Clamps and ...
Page xiv
... differential Coefficients equal re- spectively to Initial and Final Momentums , and to the time from beginning to end - Same Propositions for Ge- neralized Co - ordinates - Hamilton's " Characteristic Equa- tion " of Motion in Cartesian ...
... differential Coefficients equal re- spectively to Initial and Final Momentums , and to the time from beginning to end - Same Propositions for Ge- neralized Co - ordinates - Hamilton's " Characteristic Equa- tion " of Motion in Cartesian ...
Page xvi
... Differential Equation of Disturbed Path · SECTIONS 344-345xxvili . General investigation of Disturbed Path - Differential Equa- tion of Disturbed Path of Single Particle in a Plane - Ki- netic Foci - Theorem of Minimum Action - Action ...
... Differential Equation of Disturbed Path · SECTIONS 344-345xxvili . General investigation of Disturbed Path - Differential Equa- tion of Disturbed Path of Single Particle in a Plane - Ki- netic Foci - Theorem of Minimum Action - Action ...
Page xvii
... Differential Equations of the Second Order with Variable Coefficients . VI . Mechanical Integration of the general Linear Differential Equation of any Order with Variable Coefficients . VII . Harmonic Analyzer - Tidal Harmonic Analyzer ...
... Differential Equations of the Second Order with Variable Coefficients . VI . Mechanical Integration of the general Linear Differential Equation of any Order with Variable Coefficients . VII . Harmonic Analyzer - Tidal Harmonic Analyzer ...
Page 2
... differential calculus , But we have do ds tan 0 = dy dx ' if , the curve being a plane curve , we refer it to two rectangular axes OX , OY , according to the Cartesian method 2 [ 3 . PRELIMINARY . Curvature of a Plane Curve.
... differential calculus , But we have do ds tan 0 = dy dx ' if , the curve being a plane curve , we refer it to two rectangular axes OX , OY , according to the Cartesian method 2 [ 3 . PRELIMINARY . Curvature of a Plane Curve.
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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.