Elements of Natural Philosophy, Part 1 |
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Page 18
... instant , it is obvious that these will be the same for A with regard to B , as for B with regard to A , saving only the inversion of the direction of the joining line . Hence B's path about A is A's about B turned through two right ...
... instant , it is obvious that these will be the same for A with regard to B , as for B with regard to A , saving only the inversion of the direction of the joining line . Hence B's path about A is A's about B turned through two right ...
Page 19
... instant to a fixed diameter AA ' of the circle , intersects the diameter in a point P , whose position changes by a simple harmonic motion . Thus , if a planet or satellite , or one of the constituents of a double star , be supposed to ...
... instant to a fixed diameter AA ' of the circle , intersects the diameter in a point P , whose position changes by a simple harmonic motion . Thus , if a planet or satellite , or one of the constituents of a double star , be supposed to ...
Page 20
... instant until the moving point again moves in the same direction through the same position , and is evidently the time of revolution in the auxiliary circle . The Phase of a simple harmonic motion at any instant is the fraction of the ...
... instant until the moving point again moves in the same direction through the same position , and is evidently the time of revolution in the auxiliary circle . The Phase of a simple harmonic motion at any instant is the fraction of the ...
Page 22
... instant when the phases of the component motions agree ; to a minimum , the difference of those amplitudes , which is its value when the phases differ by half a period . Its direction , which always must be nearer to the greater than to ...
... instant when the phases of the component motions agree ; to a minimum , the difference of those amplitudes , which is its value when the phases differ by half a period . Its direction , which always must be nearer to the greater than to ...
Page 23
... instant the mean of their phases , and whose amplitude is equal to twice the ampli- tude of either multiplied by the cosine of half the difference of their phase . The resultant is of course nothing when their phases differ by half the ...
... instant the mean of their phases , and whose amplitude is equal to twice the ampli- tude of either multiplied by the cosine of half the difference of their phase . The resultant is of course nothing when their phases differ by half the ...
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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