Treatise on Natural Philosophy, Volume 1At the University Press, 1888 - Mechanics, Analytic |
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Page xv
... values ; but always negative for some Roots - Non - oscillatory sub- sidence to Stable Equilibrium , or falling away from Un- stable - Oscillatory subsidence to Stable Equilibrium , or falling away from Unstable - Falling away from ...
... values ; but always negative for some Roots - Non - oscillatory sub- sidence to Stable Equilibrium , or falling away from Un- stable - Oscillatory subsidence to Stable Equilibrium , or falling away from Unstable - Falling away from ...
Page 4
... the osculating planes at these points . Thus , denoting by p the radius of curvature , and the tortuosity , we have T 1 do ds P do T ds according to the regular notation for the limiting values of 4 [ 7 . PRELIMINARY ,
... the osculating planes at these points . Thus , denoting by p the radius of curvature , and the tortuosity , we have T 1 do ds P do T ds according to the regular notation for the limiting values of 4 [ 7 . PRELIMINARY ,
Page 12
... value of the velocity of any moving body , is evident to all , and is matter of everyday conversation . Thus , a railway ... values- Space described in one second , Ten times the space described in the first tenth of a second , A hundred ...
... value of the velocity of any moving body , is evident to all , and is matter of everyday conversation . Thus , a railway ... values- Space described in one second , Ten times the space described in the first tenth of a second , A hundred ...
Page 15
... values of u , v , w already given , Resolution § 25 , and we have the well - known geometrical theorem for the angle between two straight lines which make given angles with the axes , cos 0 = cos a cos λ + cos ẞ cos μ + cos y cos v ...
... values of u , v , w already given , Resolution § 25 , and we have the well - known geometrical theorem for the angle between two straight lines which make given angles with the axes , cos 0 = cos a cos λ + cos ẞ cos μ + cos y cos v ...
Page 16
... values , Similarly the transverse velocity is dt dy dt dx do cos sin 0 , or r dt dt Accelera- tion . 28. The velocity of a point is said to be accelerated or re- tarded according as it increases or diminishes , but the word acceleration ...
... values , Similarly the transverse velocity is dt dy dt dx do cos sin 0 , or r dt dt Accelera- tion . 28. The velocity of a point is said to be accelerated or re- tarded according as it increases or diminishes , but the word acceleration ...
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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