Treatise on Natural Philosophy, Volume 1, Issue 1At the University Press, 1879 - Mechanics, Analytic |
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Page x
... Parallel Axes - Composition of Rota- tions and Translations in One Plane - Superposition of Small Motions - Rolling of Curve on Curve - Cycloids and Trochoids - Properties of the Cycloid - Epicycloid , Hy- pocycloids , etc. Motion of a ...
... Parallel Axes - Composition of Rota- tions and Translations in One Plane - Superposition of Small Motions - Rolling of Curve on Curve - Cycloids and Trochoids - Properties of the Cycloid - Epicycloid , Hy- pocycloids , etc. Motion of a ...
Page xi
... Parallel Planes without Change of Volume - Initial and altered Position of Lines of no Elongation - Simple Shear - Axes of a Shear - Measure of a Shear - Ellipsoidal specification of a Shear - Analysis of a Strain Displacement of a Body ...
... Parallel Planes without Change of Volume - Initial and altered Position of Lines of no Elongation - Simple Shear - Axes of a Shear - Measure of a Shear - Ellipsoidal specification of a Shear - Analysis of a Strain Displacement of a Body ...
Page 5
... parallel to any two successive positions of a moving line PT , each in the directions indicated by the order of the letters . Draw OS perpendicular to their plane in the direction from O , such that OL , OL ' , OS lie in the same ...
... parallel to any two successive positions of a moving line PT , each in the directions indicated by the order of the letters . Draw OS perpendicular to their plane in the direction from O , such that OL , OL ' , OS lie in the same ...
Page 7
... parallel to the direction of motion of a point describing the curve : the angle through which this turns during the motion of the point exhibits what we have thus defined as the integral curvature . In estimating this , we must of ...
... parallel to the direction of motion of a point describing the curve : the angle through which this turns during the motion of the point exhibits what we have thus defined as the integral curvature . In estimating this , we must of ...
Page 8
... parallel to the tangent plane to the cone described in the preceding section . Thus the tortuosity may be measured by the help of the spherical curve which we have just used for defining integral curvature . We cannot as yet complete ...
... parallel to the tangent plane to the cone described in the preceding section . Thus the tortuosity may be measured by the help of the spherical curve which we have just used for defining integral curvature . We cannot as yet complete ...
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Common terms and phrases
acceleration according action actual altered amount angle angular velocity application axes axis becomes body called Cambridge centre circle co-ordinates coefficients complete component condition configuration consider constant corresponding course curvature curve denote described determined differential direction displacement distance edition equal equations equilibrium Example expression finite fixed force function give given harmonic Hence inertia infinitely small instant integral kinetic energy length less mass matter mean measured motion moving natural negative observations parallel particle particular path period perpendicular plane position present principle problem produced proved quantity radius reference relative remain remarkable respectively resultant rigid rolling roots rotation round side simple solution space spherical strain suppose surface tangent theorem tion turn unit University values whole
Popular passages
Page 241 - Every body continues in its state of rest or of uniform motion in a straight line, except in so far as it may be compelled by impressed forces to change that state.