Treatise on Natural Philosophy, Volume 1, Issue 1University Press, 1879 - Calculators |
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Page 8
... respectively the integral curvature and the integral tortuosity . The mean curvature and the mean tortuosity are respectively 1 1 Sds and frds . ρ curvaturo Infinite tortuosity will be easily understood , by considering PRELIMINARY ...
... respectively the integral curvature and the integral tortuosity . The mean curvature and the mean tortuosity are respectively 1 1 Sds and frds . ρ curvaturo Infinite tortuosity will be easily understood , by considering PRELIMINARY ...
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 therefore dx 1 L- ( tan - tan- a2 + x2 = [ F ( x ) ade < F ( 3 ) ( tan- ' a2 + x2 and 22 - ...... ( 2 ) , C tan - 1 . ( 3 ) a > F ( 2 ) ( tan - tan ) . Hence if A be the greatest of all the values 76. ] 55 ...
... respectively . But and therefore dx 1 L- ( tan - tan- a2 + x2 = [ F ( x ) ade < F ( 3 ) ( tan- ' a2 + x2 and 22 - ...... ( 2 ) , C tan - 1 . ( 3 ) a > F ( 2 ) ( tan - tan ) . Hence if A be the greatest of all the values 76. ] 55 ...
Page 70
... respectively with OX , OY , OZ ; and put 2 ( XA ) , ( YA ) , ( ZA ) , ( XB ) , ( YB ) , ( ZB ) , ( XC ) , ( YC ' ) , ( ZC ) , for the nine direction cosines of OA , OB , OC , each referred to OX , OY , OZ . These nine direction cosines ...
... respectively with OX , OY , OZ ; and put 2 ( XA ) , ( YA ) , ( ZA ) , ( XB ) , ( YB ) , ( ZB ) , ( XC ) , ( YC ' ) , ( ZC ) , for the nine direction cosines of OA , OB , OC , each referred to OX , OY , OZ . These nine direction cosines ...
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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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