Treatise on Natural Philosophy, Volume 1, Issue 1University Press, 1879 - Calculators |
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Page 8
... mean curvature and the mean tortuosity are respectively 1 1 Sds and frds . ρ curvaturo Infinite tortuosity will be easily understood , by considering PRELIMINARY . [ 12 . Curvature and Tortuosity of a Tortuous Curve Integral Curvature ...
... mean curvature and the mean tortuosity are respectively 1 1 Sds and frds . ρ curvaturo Infinite tortuosity will be easily understood , by considering PRELIMINARY . [ 12 . Curvature and Tortuosity of a Tortuous Curve Integral Curvature ...
Page 9
... mean proportional between the curvature of the circular section of the cylinder and the finite curvature of the curve . The acceleration ( or force ) required to produce such a motion of a point ( or material particle ) will be ...
... mean proportional between the curvature of the circular section of the cylinder and the finite curvature of the curve . The acceleration ( or force ) required to produce such a motion of a point ( or material particle ) will be ...
Page 21
... mean of the initial and final velocities . This is the case of ' a stone falling vertically . For if the acceleration be parallel to x , we have d2x dt = a , therefore dx dt = v = at , and x = at3 . dv And we may write the equation ...
... mean of the initial and final velocities . This is the case of ' a stone falling vertically . For if the acceleration be parallel to x , we have d2x dt = a , therefore dx dt = v = at , and x = at3 . dv And we may write the equation ...
Page 31
... mean angular velocity . T ' When a point moves uniformly in a straight line its angular velocity evidently diminishes as it recedes from the point about which the angles are measured . Angular velocity . The polar equation of a straight ...
... mean angular velocity . T ' When a point moves uniformly in a straight line its angular velocity evidently diminishes as it recedes from the point about which the angles are measured . Angular velocity . The polar equation of a straight ...
Page 34
... means convenient . The student can easily write them down for himself . 47. The following proposition in relative motion is of con-- siderable importance : - Any two moving points describe similar paths relatively to each other , or ...
... means convenient . The student can easily write them down for himself . 47. The following proposition in relative motion is of con-- siderable importance : - Any two moving points describe similar paths relatively to each other , or ...
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acceleration action algebraic angular velocity anticlastic application arbitrary axis Cambridge centre of inertia circle co-ordinates coefficients component configuration constant corresponding course curvature curve cycloidal cylinder denote determined differential equation direction cosines displacement distance dt dt dt dy dx dy dy dy dy dz ellipsoid equal equations of motion equilibrium expression finite fixed force formula function give given gyrostatic harmonic motions Hence impulse infinitely small instant integral kinetic energy Lagrange's linear mass measured momentum moving negative 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 simple harmonic motions solution spherical harmonic spherical surface St John's College strain suppose tangent plane theorem tion values variable whole Y₁ αξ λ² аф
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