Treatise on Natural Philosophy, Volume 1, Part 1At the University Press, 1879 - 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
... angle between the osculating planes at these points . Thus , denoting by p the radius of curvature , and the tortuosity , we have 1 P = T = do ds do ds " " according to the regular notation for the limiting values of 4 [ 7 . PRELIMINARY .
... angle between the osculating planes at these points . Thus , denoting by p the radius of curvature , and the tortuosity , we have 1 P = T = do ds do 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 ... values- Space described in one second , Ten times the space described in the first tenth of a second , A hundred دو ...
... value of the velocity of any moving body , is evident to all , and is matter of everyday conversation . Thus , a ... values- Space described in one second , Ten times the space described in the first tenth of a second , A hundred دو ...
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 = = cos a cos à + 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 = = cos a cos à + cos ẞ cos μ + cos y cos v ...
Page 16
... values , Similarly the transverse velocity is dx dy dt do cos - sin 0 , or r dt dt dx dy cos + 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 ...
... values , Similarly the transverse velocity is dx dy dt do cos - sin 0 , or r dt dt dx dy cos + 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 ...
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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.