Treatise on Natural Philosophy, Volume 1At the University Press, 1888 - Mechanics, Analytic |
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Page vi
... proved by experiment , are as certainly true as the elementary laws from which mathematical analysis has evolved them . The analytical processes which we have employed are , as a rule , such as lead most directly to the results aimed at ...
... proved by experiment , are as certainly true as the elementary laws from which mathematical analysis has evolved them . The analytical processes which we have employed are , as a rule , such as lead most directly to the results aimed at ...
Page xii
... proved equal to the Moment of their Resultant round any point in that Plane - Any number of Moments in one Plane compounded by addition - Moment round an Axis - Moment of a whole Motion round an Axis - Re- sultant Axis Virtual Velocity ...
... proved equal to the Moment of their Resultant round any point in that Plane - Any number of Moments in one Plane compounded by addition - Moment round an Axis - Moment of a whole Motion round an Axis - Re- sultant Axis Virtual Velocity ...
Page xv
... proved negative when Potential Energy is positive for all real Co - ordinates ; positive for some Roots when Potential Energy has negative values ; but always negative for some Roots - Non - oscillatory sub- sidence to Stable ...
... proved negative when Potential Energy is positive for all real Co - ordinates ; positive for some Roots when Potential Energy has negative values ; but always negative for some Roots - Non - oscillatory sub- sidence to Stable ...
Page xvi
... proved between two components of one fundamental oscillation ; and equality of their Energies - Orthogonalities proved be- tween different fundamental oscillations - Case of Equal Periods -- Completed Solution for case of Equal Periods ...
... proved between two components of one fundamental oscillation ; and equality of their Energies - Orthogonalities proved be- tween different fundamental oscillations - Case of Equal Periods -- Completed Solution for case of Equal Periods ...
Page xvii
... proved ultimately equal - If two sides , deviating infinitely little from the third , are together equal to it , they con- stitute an unbroken natural course - Natural course proved not a course of Minimum Action , beyond a Kinetic ...
... proved ultimately equal - If two sides , deviating infinitely little from the third , are together equal to it , they con- stitute an unbroken natural course - Natural course proved not a course of Minimum Action , beyond a Kinetic ...
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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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