Elements of Natural Philosophy, Volume 1 |
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Page 17
... given the relative motions of all but one with regard to the latter , and the actual motion of the latter , we may find the actual motions of all . The question is very easily answered . Consider for a moment a number of passengers ...
... given the relative motions of all but one with regard to the latter , and the actual motion of the latter , we may find the actual motions of all . The question is very easily answered . Consider for a moment a number of passengers ...
Page 18
... given one train moving north at the rate of thirty miles an hour , and another relatively to it moving south at the rate of twenty- five miles an hour , the actual motion of the second is thirty miles . north , and twenty - five south ...
... given one train moving north at the rate of thirty miles an hour , and another relatively to it moving south at the rate of twenty- five miles an hour , the actual motion of the second is thirty miles . north , and twenty - five south ...
Page 25
... given motion of P in BA will be ( § 67 ) defined by the motion of a point Q round the circumference of this circle ... given mutually bisecting lines . Hence any two given simple harmonic motions , equal or unequal in range , and oblique ...
... given motion of P in BA will be ( § 67 ) defined by the motion of a point Q round the circumference of this circle ... given mutually bisecting lines . Hence any two given simple harmonic motions , equal or unequal in range , and oblique ...
Page 28
... given , the amplitudes and epochs of the terms of a complex harmonic function , which shall be equal to it for every value of the independent variable , may be investigated by the ' method of indeterminate co - efficients . " Such an ...
... given , the amplitudes and epochs of the terms of a complex harmonic function , which shall be equal to it for every value of the independent variable , may be investigated by the ' method of indeterminate co - efficients . " Such an ...
Page 29
... given length AB move with its extremities always in two fixed lines OA , OB , any point in it as P describes an ellipse . ( This is proved in § 101 below . ) It is required to find the direction of motion of P at any instant , i.e. to ...
... given length AB move with its extremities always in two fixed lines OA , OB , any point in it as P describes an ellipse . ( This is proved in § 101 below . ) It is required to find the direction of motion of P at any instant , i.e. to ...
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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