Treatise on Natural Philosophy, Volume 1At the University Press, 1888 - Mechanics, Analytic |
From inside the book
Results 1-5 of 89
Page xi
... Function " Equation of Continuity " -Integral Equation of Continuity— Differential Equation of Continuity- " Steady Motion " defined . • Freedom and Constraint - Of a Point - Of a Rigid Body - Geo- metrical Clamp -- Geometrical Slide ...
... Function " Equation of Continuity " -Integral Equation of Continuity— Differential Equation of Continuity- " Steady Motion " defined . • Freedom and Constraint - Of a Point - Of a Rigid Body - Geo- metrical Clamp -- Geometrical Slide ...
Page xiv
... Function of Initial and Final Co - ordinates and the Energy ; its 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 ...
... Function of Initial and Final Co - ordinates and the Energy ; its 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 ...
Page 24
... function of x , y , z ; in nature a function of r only . day d2x Hence XC -y 0 , etc. , dt2 dt2 which give on integration dz Y dt dy มื C. dt dx dz dy dx Z dt dt X C2 x - У dt dt C'3 . ey Hence at once С1x + through the origin . only ...
... function of x , y , z ; in nature a function of r only . day d2x Hence XC -y 0 , etc. , dt2 dt2 which give on integration dz Y dt dy มื C. dt dx dz dy dx Z dt dt X C2 x - У dt dt C'3 . ey Hence at once С1x + through the origin . only ...
Page 38
... function is what we have defined as the argument of the motion . The Epoch in a simple harmonic motion is the interval of time which elapses from the era of reckoning till the moving point first comes to its greatest elongation in the ...
... function is what we have defined as the argument of the motion . The Epoch in a simple harmonic motion is the interval of time which elapses from the era of reckoning till the moving point first comes to its greatest elongation in the ...
Page 39
... function of the time , a quarter of motion . a period earlier in phase than the displacement , and having its maximum value equal to the velocity in the circular motion by which the given function is defined . For , in the fig . of § 53 ...
... function of the time , a quarter of motion . a period earlier in phase than the displacement , and having its maximum value equal to the velocity in the circular motion by which the given function is defined . For , in the fig . of § 53 ...
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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