Treatise on Natural Philosophy, Part 1University Press, 1886 - Calculators |
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Page v
... give a tolerably complete account of what is now known of Natural Philosophy , in language adapted to the non - mathematical reader ; and to furnish , to those who have the privilege which high mathematical acquire- ments confer , a ...
... give a tolerably complete account of what is now known of Natural Philosophy , in language adapted to the non - mathematical reader ; and to furnish , to those who have the privilege which high mathematical acquire- ments confer , a ...
Page vii
... give it , it will be found quite within the reach of readers moderately familiar with modern mathematical methods . In the second chapter we give NEWTON'S Laws of Motion in his own words , and with some of his own comments - every ...
... give it , it will be found quite within the reach of readers moderately familiar with modern mathematical methods . In the second chapter we give NEWTON'S Laws of Motion in his own words , and with some of his own comments - every ...
Page 12
... دو " " hundredth " 2 and so on , give nearer and nearer approximations to the velocity at the beginning of the first second . The whole foundation of the differential calculus is , in fact , contained in 12 [ 23 . PRELIMINARY .
... دو " " hundredth " 2 and so on , give nearer and nearer approximations to the velocity at the beginning of the first second . The whole foundation of the differential calculus is , in fact , contained in 12 [ 23 . PRELIMINARY .
Page 24
... give on integration dz y 2 = dy --C , dx dz 2 dt x C. dt C , C dy dx x -Y dt dt = dt dt - Hence at once С1x + С2y + ... gives double the area described in one second about the fixed point . Or thus - if p be the perpendicular on the 24 ...
... give on integration dz y 2 = dy --C , dx dz 2 dt x C. dt C , C dy dx x -Y dt dt = dt dt - Hence at once С1x + С2y + ... gives double the area described in one second about the fixed point . Or thus - if p be the perpendicular on the 24 ...
Page 25
... give r dt2 dt · ( de ) 2 = 2 de = P , = h . dt Putting 1 2 ° = u , we have d2 dt2 u dt ( de ) 2 = P , and do = hu2 ... gives us d'u do + u = - P h1u2 · ( 1 ) , the equation required . The integral of this equation involves two arbitrary ...
... give r dt2 dt · ( de ) 2 = 2 de = P , = h . dt Putting 1 2 ° = u , we have d2 dt2 u dt ( de ) 2 = P , and do = hu2 ... gives us d'u do + u = - P h1u2 · ( 1 ) , the equation required . The integral of this equation involves two arbitrary ...
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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