Treatise on Natural Philosophy, Part 1University Press, 1886 - Calculators |
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Page 6
... respectively , we have λ dx d dy dz d d ds ds ds α = p ' ds ' B : pds ' Y = p1ds ' .... ( 10 ) ; - dz , dy d dsds dz , dx dx.dz d d dx , dy d d dy , dx ds ds ds ds ds ds ds ds V = με p'ds p1ds pds ( 11 ) . dy , dz d ds ds p1 = The ...
... respectively , we have λ dx d dy dz d d ds ds ds α = p ' ds ' B : pds ' Y = p1ds ' .... ( 10 ) ; - dz , dy d dsds dz , dx dx.dz d d dx , dy d d dy , dx ds ds ds ds ds ds ds ds V = με p'ds p1ds pds ( 11 ) . dy , dz d ds ds p1 = The ...
Page 8
... respectively the integral curvature and the integral tortuosity . The mean curvature and the mean tortuosity are respectively 1 fds [ de and frds . curvature Infinite tortuosity will be easily understood , by considering 8 [ 12 ...
... respectively the integral curvature and the integral tortuosity . The mean curvature and the mean tortuosity are respectively 1 fds [ de and frds . curvature Infinite tortuosity will be easily understood , by considering 8 [ 12 ...
Page 29
... respectively . In the second and third cases the second point can never over- take the first , and consequently the line of motion of the first is an asymptote . In the first case the second point overtakes the first , and the curve at ...
... respectively . In the second and third cases the second point can never over- take the first , and consequently the line of motion of the first is an asymptote . In the first case the second point overtakes the first , and the curve at ...
Page 46
... respectively , the epoch of the component of shorter period is less than a quarter - period by 0 , 1 , 2 , etc. , sixteenths of the period . The successive horizontal lines are the axes of abscissæ of the successive curves ; the ...
... respectively , the epoch of the component of shorter period is less than a quarter - period by 0 , 1 , 2 , etc. , sixteenths of the period . The successive horizontal lines are the axes of abscissæ of the successive curves ; the ...
Page 55
... respectively . But and greater than F ( 2 ) ⚫c dx ‚ a2 + 4x2 if z tan -1 ( 2 ) , اله and ( F ( x ) adx c a2 + x2 29 < F ( 2 ) ( tan ~ ' C – tan - 1 o ) , > a F ( s ) ( tantan ) . . ( 3 ) Fourier's Theorem . least , Hence if △ be the ...
... respectively . But and greater than F ( 2 ) ⚫c dx ‚ a2 + 4x2 if z tan -1 ( 2 ) , اله and ( F ( x ) adx c a2 + x2 29 < F ( 2 ) ( tan ~ ' C – tan - 1 o ) , > a F ( s ) ( tantan ) . . ( 3 ) Fourier's Theorem . least , Hence if △ be the ...
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Common terms and phrases
acceleration action altered angular velocity anticlastic application 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 dy dy dy dz 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 Laplace's equation length moving P₁ parallel parallelepiped particle perpendicular polygon position principal axes 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 whole x₁ y₁ αξ λ² аф