Treatise on Natural Philosophy, Volume 1At the University Press, 1888 - Mechanics, Analytic |
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Page v
... called Natural History ; and it might with equal propriety be so called in all others . Our object is twofold : to give a tolerably complete account of what is now known of Natural Philosophy , in language adapted to the non ...
... called Natural History ; and it might with equal propriety be so called in all others . Our object is twofold : to give a tolerably complete account of what is now known of Natural Philosophy , in language adapted to the non ...
Page xiv
... called " Station- ary Action " by Hamilton Varying Action Action expressed as a Function of Initial and Final Co - ordinates and the Energy ; its differential Coefficients equal re- spectively to Initial and Final Momentums , and to the ...
... called " Station- ary Action " by Hamilton Varying Action Action expressed as a Function of Initial and Final Co - ordinates and the Energy ; its differential Coefficients equal re- spectively to Initial and Final Momentums , and to the ...
Page 2
... called the curvature . To exemplify this , suppose two tangents drawn to a circle , and radii to the points of contact . The angle between the tangents is the change of direction required , and the rate of change is to be measured by ...
... called the curvature . To exemplify this , suppose two tangents drawn to a circle , and radii to the points of contact . The angle between the tangents is the change of direction required , and the rate of change is to be measured by ...
Page 3
... called a Tortuous plane curve , and in the same way we speak of a plane polygon or broken line . If various points of the line do not lie in one plane , we have in one case what is called a curve of double Tortuous curve . Curvature and ...
... called a Tortuous plane curve , and in the same way we speak of a plane polygon or broken line . If various points of the line do not lie in one plane , we have in one case what is called a curve of double Tortuous curve . Curvature and ...
Page 4
... called ' tortuous ; ' and the measure of the corresponding property is conveniently called Tortuosity . 8. The nature of this will be best understood by consider- ing the curve as a polygon whose sides are indefinitely small . Any two ...
... called ' tortuous ; ' and the measure of the corresponding property is conveniently called Tortuosity . 8. The nature of this will be best understood by consider- ing the curve as a polygon whose sides are indefinitely small . Any two ...
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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