Elements of Natural Philosophy, Volume 1 |
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Page 85
... remarkable vibratory motion , which , when its length is more than double of that of the other , will consist of a wave running backwards and forwards through its length , and causing the motion of its ends , and , in fact , of every ...
... remarkable vibratory motion , which , when its length is more than double of that of the other , will consist of a wave running backwards and forwards through its length , and causing the motion of its ends , and , in fact , of every ...
Page 90
... remarkable properties of the motion : - If , from all points of an arbitrary surface , particles not mutually influencing one another be projected with the proper velocities in the directions of the normals ; points which they reach ...
... remarkable properties of the motion : - If , from all points of an arbitrary surface , particles not mutually influencing one another be projected with the proper velocities in the directions of the normals ; points which they reach ...
Page 91
... remarkable result is , that in the use of any optical apparatus whatever , if the eye and the object be interchanged without altering the position of the instrument , the magnifying power is unaltered . This is easily under- stood when ...
... remarkable result is , that in the use of any optical apparatus whatever , if the eye and the object be interchanged without altering the position of the instrument , the magnifying power is unaltered . This is easily under- stood when ...
Page 97
... remarkable that stability should be possible , considering that even in the case of stability an endless increase of velocity may , as is easily seen from § 244 , be obtained merely by constraining the system to a particular closed ...
... remarkable that stability should be possible , considering that even in the case of stability an endless increase of velocity may , as is easily seen from § 244 , be obtained merely by constraining the system to a particular closed ...
Page 110
... developed to their consequences , by the application of Mathematical Analysis . The works of Fourier1 , 1 Théorie Analytique de la Chaleur . Paris , 1822 . Green1 , and Poisson2 , are remarkable instances of such 110 PRELIMINARY .
... developed to their consequences , by the application of Mathematical Analysis . The works of Fourier1 , 1 Théorie Analytique de la Chaleur . Paris , 1822 . Green1 , and Poisson2 , are remarkable instances of such 110 PRELIMINARY .
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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