Treatise on Natural Philosophy, Volume 1, Issue 1University Press, 1879 - Calculators |
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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
... consider at the outset various theorems connected VOL . I. 1 point . Motion of a with the geometrical notion of Velocity Resolution of Velocity Composition of Velocities Acceleration -PRELIMINARY -KINEMATICS Objects of the Chapter ...
... consider at the outset various theorems connected VOL . I. 1 point . Motion of a with the geometrical notion of Velocity Resolution of Velocity Composition of Velocities Acceleration -PRELIMINARY -KINEMATICS Objects of the Chapter ...
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 PRELIMINARY . [ 12 . Curvature and Tortuosity of a Tortuous Curve Integral Curvature of a Curve (compare ...
... Consider , for examples , varieties of James Bernouilli's plane elastic curve , § 611 , and approximately coincident ... considering PRELIMINARY . [ 12 . Curvature and Tortuosity of a Tortuous Curve Integral Curvature of a Curve (compare ...
Page 9
... considering Integral a helix , of inclination a , described on a right circular cylinder of of a curve 1 radius r . r ' The curvature in a circular section being that of cos ' a sin a cos a the helix is , of course , · The tortuosity is ...
... considering Integral a helix , of inclination a , described on a right circular cylinder of of a curve 1 radius r . r ' The curvature in a circular section being that of cos ' a sin a cos a the helix is , of course , · The tortuosity is ...
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Common terms and phrases
acceleration action algebraic angular velocity anticlastic application arbitrary axis Cambridge centre of inertia circle co-ordinates coefficients component configuration constant corresponding course curvature curve cycloidal cylinder denote determined differential equation direction cosines displacement distance dt dt dt dy dx dy dy dy dy dz ellipsoid equal equations of motion equilibrium expression finite fixed force formula function give given gyrostatic harmonic motions Hence impulse infinitely small instant integral kinetic energy Lagrange's linear mass measured momentum moving negative P₁ parallel particle path perpendicular polygon position principal axes principle quadratic quadratic function quantity radius rectangular resultant rigid body rolling roots rotation round simple harmonic simple harmonic motions solution spherical harmonic spherical surface St John's College strain suppose tangent plane theorem tion values variable whole Y₁ αξ λ² аф
Popular passages
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