Treatise on Natural Philosophy, Volume 1At the University Press, 1888 - Mechanics, Analytic |
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Results 1-5 of 79
Page vi
... According to modern experimental results , especially those of JOULE , Energy is as real and as indestructible as Matter . It is satisfactory to find that NEWTON anticipated , so far as the state of experi- mental science in his time ...
... According to modern experimental results , especially those of JOULE , Energy is as real and as indestructible as Matter . It is satisfactory to find that NEWTON anticipated , so far as the state of experi- mental science in his time ...
Page 2
... according to the notation below ds is called the curvature . To exemplify this , suppose two tangents drawn to a ... according to the notation of the differential calculus , do But we have ds dy tan 0 = dx ' = if , the curve being a ...
... according to the notation below ds is called the curvature . To exemplify this , suppose two tangents drawn to a ... according to the notation of the differential calculus , do But we have ds dy tan 0 = dx ' = if , the curve being a ...
Page 3
... according to the usual short , although not quite complete , notation , 1 d2y 2 ds2 2 + ( da ) 2 curve . 7. If all points of the curve lie in one plane , it is called a Tortuous plane curve , and in the same way we speak of a plane ...
... according to the usual short , although not quite complete , notation , 1 d2y 2 ds2 2 + ( da ) 2 curve . 7. If all points of the curve lie in one plane , it is called a Tortuous plane curve , and in the same way we speak of a plane ...
Page 4
... the angle between the osculating planes at these points . Thus , denoting by p the radius of curvature , and the tortuosity , we have T 1 do ds P do T ds according to the regular notation for the limiting values of 4 [ 7 . PRELIMINARY ,
... the angle between the osculating planes at these points . Thus , denoting by p the radius of curvature , and the tortuosity , we have T 1 do ds P do T ds according to the regular notation for the limiting values of 4 [ 7 . PRELIMINARY ,
Page 8
... according to the proper definition , § 10 , for a plane curve , but ) to the sum of the integral curvatures of all the parts of an approximately coincident plane curve , each taken as positive . Consider , for examples , varieties of ...
... according to the proper definition , § 10 , for a plane curve , but ) to the sum of the integral curvatures of all the parts of an approximately coincident plane curve , each taken as positive . Consider , for examples , varieties of ...
Contents
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78 | |
94 | |
102 | |
108 | |
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251 | |
264 | |
271 | |
282 | |
318 | |
338 | |
340 | |
354 | |
128 | |
136 | |
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160 | |
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217 | |
227 | |
233 | |
250 | |
361 | |
366 | |
384 | |
426 | |
440 | |
457 | |
479 | |
493 | |
500 | |
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Common terms and phrases
action altered angular velocity anticlastic B₁ Cambridge centre of inertia change of direction circle co-ordinates coefficients component condition configuration constant corresponding curvature curve cycloidal cylinder degrees of freedom Demy 8vo denote diagram differential equation direction cosines distance dt dt dx dy dx² dy dy dy dz edition ellipse ellipsoid elongation equal equations of motion equilibrium expression finite fixed fluid force function geodetic geometrical given gyrostatic Hence infinitely small initial integral kinetic energy length moving P₁ parallel parallelepiped particle perpendicular polygon position principal axes quadratic function quantity radius ratio rectangular right angles rigid body rolling roots rotation round shear simple harmonic simple harmonic motions simple shear solution spherical harmonic spherical surface strain suppose synclastic tangent plane theorem tion twist values Y₁ αξ λ² аф
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