Treatise on Natural Philosophy, Volume 1, Issue 1At the University Press, 1879 - Mechanics, Analytic |
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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 . Hence d'y at d2x -Yats = = 0 , etc. , dy dx -y at C1 . which give on integration dz Y dt - 2 dy dr C1 , z dt - x dz dt dt - dt Hence at once С ̧x + С ̧y + C ̧≈ = 0 , or the ...
... function of x , y , z ; in nature a function of r only . Hence d'y at d2x -Yats = = 0 , etc. , dy dx -y at C1 . which give on integration dz Y dt - 2 dy dr C1 , z dt - x dz dt dt - dt Hence at once С ̧x + С ̧y + C ̧≈ = 0 , or the ...
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 ...
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Common terms and phrases
acceleration according action actual altered amount angle angular velocity application axes axis becomes body called Cambridge centre circle co-ordinates coefficients complete component condition configuration consider constant corresponding course curvature curve denote described determined differential direction displacement distance edition equal equations equilibrium Example expression finite fixed force function give given harmonic Hence inertia infinitely small instant integral kinetic energy length less mass matter mean measured motion moving natural negative observations parallel particle particular path period perpendicular plane position present principle problem produced proved quantity radius reference relative remain remarkable respectively resultant rigid rolling roots rotation round side simple solution space spherical strain suppose surface tangent theorem tion turn unit University values whole
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.