Elements of Natural Philosophy, Volume 1 |
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Page 6
... 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 in one ...
... 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 in one ...
Page 7
... interval t , and s the space actually described in that interval ; the equation v = ( which expresses the definition of the average velocity , § 26 ) is more and more nearly true , as the velocity is more nearly uniform during the ...
... interval t , and s the space actually described in that interval ; the equation v = ( which expresses the definition of the average velocity , § 26 ) is more and more nearly true , as the velocity is more nearly uniform during the ...
Page 9
... interval t , v v = at , or a == ť 33. Acceleration is variable when the point's velocity does not receive equal ... interval . As the interval becomes smaller , the direction PQ more and more nearly becomes the tangent at P. Hence the ...
... interval t , v v = at , or a == ť 33. Acceleration is variable when the point's velocity does not receive equal ... interval . As the interval becomes smaller , the direction PQ more and more nearly becomes the tangent at P. Hence the ...
Page 11
... interval is that which would be described in the same time by a point moving uniformly with a velocity equal to that at the middle of the interval . In other words , the average velocity ( when the acceleration is uniform ) is , during ...
... interval is that which would be described in the same time by a point moving uniformly with a velocity equal to that at the middle of the interval . In other words , the average velocity ( when the acceleration is uniform ) is , during ...
Page 12
... interval , by the above reasoning , we see that a space at2 is described parallel to the direction of acceleration . C Ꭺ P Hence , if AP be the direction of motion at A , AB the direction of acceleration , and the position of the point ...
... interval , by the above reasoning , we see that a space at2 is described parallel to the direction of acceleration . C Ꭺ P Hence , if AP be the direction of motion at A , AB the direction of acceleration , and the position of the point ...
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Common terms and phrases
acceleration action amount angular velocity anticlastic attraction axis called centimetre centre of gravity centre of inertia circle circular co-ordinates component configuration consider constant cosine couple curvature curve cylinder denote density described diagram displacement distance ellipse ellipsoid elongation equal equations equilibrium external point finite fixed point flexure fluid forces acting friction geometrical given force Hence hodograph horizontal infinitely small instant inversely kinetic energy length magnitude mass matter measured moment of inertia momentum moving normal section P₁ P₂ parallel parallelogram of forces particle path pendulum perpendicular plane perpendicular portion position potential pressure principal axes principle produce projection proportional quantity radius radius of gyration reckoned rectangular right angles rigid body rotation round shear shell sides simple harmonic motion solid angle space spherical surface spiral square straight line strain stress suppose tangent theorem theory tion torsion uniform unit vertical whole wire