Elements of Natural Philosophy, Part 1 |
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Page 6
... period it kept its velocity unchanged . 27. That there is at every instant a definite velocity for any moving point , is evident to all , and is matter of everyday conversation . Thus , a railway train , after starting , gradually ...
... period it kept its velocity unchanged . 27. That there is at every instant a definite velocity for any moving point , is evident to all , and is matter of everyday conversation . Thus , a railway train , after starting , gradually ...
Page 9
... periods of time . It is then measured by the increment of velocity , which would have been generated in a unit of time had the acceleration remained throughout that unit the same as at its commencement . The average accelera- tion ...
... periods of time . It is then measured by the increment of velocity , which would have been generated in a unit of time had the acceleration remained throughout that unit the same as at its commencement . The average accelera- tion ...
Page 14
... period ( twelve lunar hours ) . Numbers from I. to XII . are placed at marked points along the curve , corresponding to the lunar hours . Smith's curve is precisely the Hamiltonian hodograph for an imagi- nary particle moving at each ...
... period ( twelve lunar hours ) . Numbers from I. to XII . are placed at marked points along the curve , corresponding to the lunar hours . Smith's curve is precisely the Hamiltonian hodograph for an imagi- nary particle moving at each ...
Page 20
... period of time defined as the epoch . The Period of a simple harmonic motion is the time which elapses from any instant until the moving point again moves in the same direction through the same position , and is evidently the time of ...
... period of time defined as the epoch . The Period of a simple harmonic motion is the time which elapses from any instant until the moving point again moves in the same direction through the same position , and is evidently the time of ...
Page 21
... period , give , when compounded , a single simple harmonic motion ; of the same period ; of amplitude equal to the diagonal of a parallelogram de- scribed on lengths equal to their am- plitudes measured on lines meeting at an angle ...
... period , give , when compounded , a single simple harmonic motion ; of the same period ; of amplitude equal to the diagonal of a parallelogram de- scribed on lengths equal to their am- plitudes measured on lines meeting at an angle ...
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Common terms and phrases
acceleration action amount angular velocity anticlastic attraction axis called Cambridge 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 ellipsoid elongation equal equations equilibrium external 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 Octavo P. G. TAIT P₁ P₂ parallel particle path pendulum perpendicular plane perpendicular portion position potential pressure principal axes principle produce projection proportional quantity radius radius of gyration reckoned rectangular resultant 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
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