Elements of Natural Philosophy, Volume 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 centimetre centre of gravity centre of inertia circle circular cloth co-ordinates component configuration consider constant cosine couple curvature curve cylinder denote density described diagram displacement distance elements ellipse ellipsoid elongation equal equations equilibrium external point Extra fcap finite 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 Natural Philosophy normal section Oxford P₁ parallel particle path pendulum 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 theory tion torsion uniform unit vertical whole wire
Popular passages
Page 161 - that every particle of matter in the universe attracts every other particle, with a force whose direction is that of the line joining the two, and whose magnitude is directly as the product of their masses, and inversely as the square of their distances from each other.
Page 65 - Every body continues in its state of rest or of uniform motion in a straight line, except in so far as it is compelled by force to change that state.
Page 28 - Fourier's theorem is not only one of the most beautiful results of modern analysis, but may be said to furnish an indispensable instrument in the treatment of nearly every recondite question in modern physics.
Page 161 - Newton generalized the law of attraction into a statement that every particle of matter in the universe attracts every other particle with a force which varies directly as the product of their masses and inversely as the square of the distance between them; and he thence deduced the law of attraction for spherical shells of constant density.
Page 66 - Change of motion is proportional to the impressed force and takes place in the direction of the straight line in which the force acts.
Page 68 - To every action there is always an equal and contrary reaction; or, the mutual actions of any two bodies are always equal and oppositely directed in the same straight line.
Page 130 - UNTIL we know thoroughly the nature of matter and the forces which produce its motions, it will be utterly impossible to submit to mathematical reasoning the exact conditions of any physical question.