Treatise on Natural Philosophy, Volume 1, Part 1At the University Press, 1879 - Mechanics, Analytic |
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Page xi
... Spherical Harmonic Analysis . CHAPTER II . - DYNAMICAL LAWS AND PRINCIPLES . Ideas CONTENTS . xi.
... Spherical Harmonic Analysis . CHAPTER II . - DYNAMICAL LAWS AND PRINCIPLES . Ideas CONTENTS . xi.
Page 171
... SPHERICAL HARMONIC ANALYSIS . spherical analysis . The mathematical method which has been commonly referred object of to by English writers as that of " Laplace's Coefficients , " but harmonic which is here called spherical harmonic ...
... SPHERICAL HARMONIC ANALYSIS . spherical analysis . The mathematical method which has been commonly referred object of to by English writers as that of " Laplace's Coefficients , " but harmonic which is here called spherical harmonic ...
Page 172
William Thomson Kelvin (1st baron), Peter Guthrie Tait. Examples of spherical harmonics . EXAMPLES . The functions written below are spherical har- monics of the degrees noted ; r representing ( x2 + y + 2 ) : — Degree Zero . 2 ° + 2 1 ...
William Thomson Kelvin (1st baron), Peter Guthrie Tait. Examples of spherical harmonics . EXAMPLES . The functions written below are spherical har- monics of the degrees noted ; r representing ( x2 + y + 2 ) : — Degree Zero . 2 ° + 2 1 ...
Page 174
William Thomson Kelvin (1st baron), Peter Guthrie Tait. Examples of spherical harmonics . or explicitly I. U ( n ) -6 ... harmonic of the same degree and type is p ( 0 ) dlog ) -4-1 dz To obtain the harmonics of the same types , but ...
William Thomson Kelvin (1st baron), Peter Guthrie Tait. Examples of spherical harmonics . or explicitly I. U ( n ) -6 ... harmonic of the same degree and type is p ( 0 ) dlog ) -4-1 dz To obtain the harmonics of the same types , but ...
Page 176
William Thomson Kelvin (1st baron), Peter Guthrie Tait. Examples of spherical harmonics . Degrees e + vf , and − e ... harmonic is the function of two angular co - ordinates , or spherical surface co - ordinates , which a spherical ...
William Thomson Kelvin (1st baron), Peter Guthrie Tait. Examples of spherical harmonics . Degrees e + vf , and − e ... harmonic is the function of two angular co - ordinates , or spherical surface co - ordinates , which a spherical ...
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Common terms and phrases
acceleration action algebraic altered angular velocity anticlastic application axis Cambridge centre of inertia circle co-ordinates coefficients component condition configuration constant corresponding course curvature curve cycloidal cylinder denote determined differential equation direction cosines displacement distance dt dt dx dy dy dy dy dz ellipsoid elongation equal equations of motion equilibrium expression finite fixed force formula function geometrical given gyrostatic harmonic motions Hence impulse infinitely small instant integral kinetic energy length linear momentum moving negative osculating plane P₁ parallel particle perpendicular polygon position principal axes quadratic quadratic function quantity radius ratio rectangular resultant right angles rigid body rolling roots rotation round shear simple harmonic simple harmonic motions solution spherical harmonic spherical surface St John's College strain suppose tangent plane theorem tion values whole Y₁ λ² аф
Popular passages
Page 241 - Every body continues in its state of rest or of uniform motion in a straight line, except in so far as it may be compelled by impressed forces to change that state.