Treatise on Natural Philosophy, Volume 1, Issue 1University Press, 1879 - Calculators |
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Page 11
... less as the space passed over in a given time is greater or less : and it may be uniform , i.e. , the same at every instant ; or it may be variable . Uniform velocity is measured by the space passed over in unit of time , and is , in ...
... less as the space passed over in a given time is greater or less : and it may be uniform , i.e. , the same at every instant ; or it may be variable . Uniform velocity is measured by the space passed over in unit of time , and is , in ...
Page 12
... less the interval is , the more nearly does the average velocity coincide with the actual velocity at any instant of the interval . Or again , we define the exact velocity at any instant as the space which the point would have described ...
... less the interval is , the more nearly does the average velocity coincide with the actual velocity at any instant of the interval . Or again , we define the exact velocity at any instant as the space which the point would have described ...
Page 23
... less fore - shortened catenary ( § 580 ) if from the plane . As in case c , perpendicular to at any instant . ď z dt = = 0 , dz dt = 0 , and z = 0 , if the axis of z be the acceleration and to the direction of motion . Also , if we ...
... less fore - shortened catenary ( § 580 ) if from the plane . As in case c , perpendicular to at any instant . ď z dt = = 0 , dz dt = 0 , and z = 0 , if the axis of z be the acceleration and to the direction of motion . Also , if we ...
Page 29
... less than , that of the second . The figures in the text below represent the curves in these cases , the velocities of the pur- suer being , 1 , and of those of the pursued , respectively . In the second and third cases the second point ...
... less than , that of the second . The figures in the text below represent the curves in these cases , the velocities of the pur- suer being , 1 , and of those of the pursued , respectively . In the second and third cases the second point ...
Page 35
... less than that of the water , it never reaches the other bank , and is carried indefinitely down stream . The compari- e = 3 e = 1 € = 2 son of the figures in § 40 with those in the present section cannot fail to be instructive . They ...
... less than that of the water , it never reaches the other bank , and is carried indefinitely down stream . The compari- e = 3 e = 1 € = 2 son of the figures in § 40 with those in the present section cannot fail to be instructive . They ...
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Common terms and phrases
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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