Treatise on Natural Philosophy, Volume 1, Issue 1At the University Press, 1879 - Mechanics, Analytic |
From inside the book
Results 1-5 of 72
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 , d2z dt = dz 0 , dt - 0 , and z = 0 , if the axis of z be perpendicular to the acceleration and to the direction of motion at any instant . Also , if we choose ...
... less fore - shortened catenary ( § 580 ) if from the plane . As in case c , d2z dt = dz 0 , dt - 0 , and z = 0 , if the axis of z be perpendicular to the acceleration and to the direction of motion at any instant . Also , if we choose ...
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 ...
Other editions - View all
Common terms and phrases
acceleration according action actual altered amount angle angular velocity application axes axis becomes body called Cambridge centre circle co-ordinates coefficients complete component condition configuration consider constant corresponding course curvature curve denote described determined differential direction displacement distance edition equal equations equilibrium Example expression finite fixed force function give given harmonic Hence inertia infinitely small instant integral kinetic energy length less mass matter mean measured motion moving natural negative observations parallel particle particular path period perpendicular plane position present principle problem produced proved quantity radius reference relative remain remarkable respectively resultant rigid rolling roots rotation round side simple solution space spherical strain suppose surface tangent theorem tion turn unit University values whole
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.