Treatise on Natural Philosophy, Volume 1At the University Press, 1888 - Mechanics, Analytic |
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Results 1-5 of 48
Page 9
... remain finite , and let r diminish without limit . The step of the √7 ( 1–2 ) 3 , is , in the limit , 2 √pr ... remains constant , however the line be bent . 15. The use of a cord in mechanism presents us with many practical ...
... remain finite , and let r diminish without limit . The step of the √7 ( 1–2 ) 3 , is , in the limit , 2 √pr ... remains constant , however the line be bent . 15. The use of a cord in mechanism presents us with many practical ...
Page 32
... remain fixed , or at all events parallel to itself , a somewhat more laboured statement is required to give definite informa- tion . This will be supplied in a subsequent section . 45. All motion that we are , or can be , acquainted ...
... remain fixed , or at all events parallel to itself , a somewhat more laboured statement is required to give definite informa- tion . This will be supplied in a subsequent section . 45. All motion that we are , or can be , acquainted ...
Page 34
... remain the same , while the lengths are altered in a given ratio ; but this is the definition of similar curves . 48. As a good example of relative motion , let us consider that of the two points involved in our definition of the curve ...
... remain the same , while the lengths are altered in a given ratio ; but this is the definition of similar curves . 48. As a good example of relative motion , let us consider that of the two points involved in our definition of the curve ...
Page 61
... remain always in a fixed plane in space . 83. There is yet a case in which the construction in § 79 is nugatory - that is when AA ' is paral- B lel to BB ' , but the lines of AB and A ' A'B ' intersect . In this case , how- ever , the ...
... remain always in a fixed plane in space . 83. There is yet a case in which the construction in § 79 is nugatory - that is when AA ' is paral- B lel to BB ' , but the lines of AB and A ' A'B ' intersect . In this case , how- ever , the ...
Page 69
... remains fixed , fixed point . there is always ( without exception ) one line of it through this point common to the body in any two positions . This most important theorem is due to Euler . To prove it , consider Euler's a spherical ...
... remains fixed , fixed point . there is always ( without exception ) one line of it through this point common to the body in any two positions . This most important theorem is due to Euler . To prove it , consider Euler's a spherical ...
Contents
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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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