Treatise on Natural Philosophy, Volume 1, Issue 1University Press, 1879 - Calculators |
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Page vi
... According to modern experimental results , especially those of JOULE , Energy is as real and as indestructible as Matter . It is satisfactory to find that NEWTON anticipated , so far as the state of experi- mental science in his time ...
... According to modern experimental results , especially those of JOULE , Energy is as real and as indestructible as Matter . It is satisfactory to find that NEWTON anticipated , so far as the state of experi- mental science in his time ...
Page 2
... ( according to the notation below below ) is 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 ...
... ( according to the notation below below ) is 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 ...
Page 3
... according to the Cartesian method , and if 0 denote Curvature the inclination of its tangent , at any point x , y , to OX . Hence curve . 0 = tan- dy ; dx and , by differentiation with reference to any independent variable t , we have d ...
... according to the Cartesian method , and if 0 denote Curvature the inclination of its tangent , at any point x , y , to OX . Hence curve . 0 = tan- dy ; dx and , by differentiation with reference to any independent variable t , we have d ...
Page 4
... angle between the osculating planes at these points . Thus , denoting by p the radius of curvature , and the tortuosity , we have 1 Ρ = do ds do T = ds according to the regular notation for the limiting values of 4 [ 7 . PRELIMINARY .
... angle between the osculating planes at these points . Thus , denoting by p the radius of curvature , and the tortuosity , we have 1 Ρ = do ds do T = ds according to the regular notation for the limiting values of 4 [ 7 . PRELIMINARY .
Page 5
William Thomson Baron Kelvin, Peter Guthrie Tait. according to the regular notation for the limiting values of " 80 Curvature and tortu- ds ' osity . 86 and when ds is diminished without limit . Let OL , OL ' Es be lines drawn through ...
William Thomson Baron Kelvin, Peter Guthrie Tait. according to the regular notation for the limiting values of " 80 Curvature and tortu- ds ' osity . 86 and when ds is diminished without limit . Let OL , OL ' Es be lines drawn through ...
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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
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