Treatise on Natural Philosophy, Volume 1, Part 1At the University Press, 1879 - Mechanics, Analytic |
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Page viii
... consider the formula and not the fact as the physical reality . In issuing this new edition , of a work which has been for several years out of print , we recognise with legitimate satis- faction the very great improvement which has ...
... consider the formula and not the fact as the physical reality . In issuing this new edition , of a work which has been for several years out of print , we recognise with legitimate satis- faction the very great improvement which has ...
Page 1
... becomes zero at the angle . It is useful to consider at the outset various theorems connected VOL . I. 1 14 point , Motion of a with the geometrical notion of -PRELIMINARY -KINEMATICS SECTIONS Objects of the Chapter 1, Motion of a Point 3,
... becomes zero at the angle . It is useful to consider at the outset various theorems connected VOL . I. 1 14 point , Motion of a with the geometrical notion of -PRELIMINARY -KINEMATICS SECTIONS Objects of the Chapter 1, Motion of a Point 3,
Page 4
... consider- ing the curve as a polygon whose sides are indefinitely small . Any two consecutive sides , of course , lie in a plane - and in that plane the curvature is measured as above , but in a curve which is not plane the third side ...
... consider- ing the curve as a polygon whose sides are indefinitely small . Any two consecutive sides , of course , lie in a plane - and in that plane the curvature is measured as above , but in a curve which is not plane the third side ...
Page 8
... Consider , for examples , varieties of James Bernouilli's plane elastic curve , § 611 , and approximately coincident ... considering 8 [ 12 . PRELIMINARY . Integral Curvature of a Curve (compare § 136) 10-13.
... Consider , for examples , varieties of James Bernouilli's plane elastic curve , § 611 , and approximately coincident ... considering 8 [ 12 . PRELIMINARY . Integral Curvature of a Curve (compare § 136) 10-13.
Page 9
... considering Integral a helix , of inclination a , described on a right circular cylinder of of a curve ( compare § 136 ) . radius r . The curvature in a circular section being , that of cos ' a sin a cos a the helix is , of course , The ...
... considering Integral a helix , of inclination a , described on a right circular cylinder of of a curve ( compare § 136 ) . radius r . The curvature in a circular section being , that of cos ' a sin a cos a the helix is , of course , The ...
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Common terms and phrases
acceleration action algebraic altered angular velocity anticlastic application axis Cambridge centre of inertia circle co-ordinates coefficients component condition configuration constant corresponding course curvature curve cycloidal cylinder denote determined differential equation direction cosines displacement distance dt dt dx dy dy dy dy dz ellipsoid elongation equal equations of motion equilibrium expression finite fixed force formula function geometrical given gyrostatic harmonic motions Hence impulse infinitely small instant integral kinetic energy length linear momentum moving negative osculating plane P₁ parallel particle perpendicular polygon position principal axes quadratic quadratic function quantity radius ratio rectangular resultant right angles rigid body rolling roots rotation round shear simple harmonic simple harmonic motions solution spherical harmonic spherical surface St John's College strain suppose tangent plane theorem tion values whole Y₁ λ² аф
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.