An Elementary Treatise on Spherical Harmonics and Subjects Connected with Them |
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Page x
... ELLIPSOIDAL AND SPHEROIDAL HARMONICS . 1. Introduction of Ellipsoidal Harmonics 2. Definition of Elliptic Co - ordinates 3. Transformation of the fundamental equation • 5. Introduction of the quantities E , H 4 ... ellipsoid is X CONTENTS .
... ELLIPSOIDAL AND SPHEROIDAL HARMONICS . 1. Introduction of Ellipsoidal Harmonics 2. Definition of Elliptic Co - ordinates 3. Transformation of the fundamental equation • 5. Introduction of the quantities E , H 4 ... ellipsoid is X CONTENTS .
Page xi
... ellipsoid is one of revolution about the least axis 136 21. Unsymmetrical distribution 139 22. Special examples . Density varying as P¡ ( μ ) . ib . 23. External potential varying inversely as distance from focus 142 24 , 25 ...
... ellipsoid is one of revolution about the least axis 136 21. Unsymmetrical distribution 139 22. Special examples . Density varying as P¡ ( μ ) . ib . 23. External potential varying inversely as distance from focus 142 24 , 25 ...
Page 107
... + 1 ) ( 1 − μ3 ) — o3 } U = 0 , and which may be called the Tesseral Harmonic of the second kind , of the degree i and order σ . CHAPTER VI . ELLIPSOIDAL AND SPHEROIDAL HARMONICS . 1. THE SPHERICAL HARMONICS OF THE SECOND KIND . 107.
... + 1 ) ( 1 − μ3 ) — o3 } U = 0 , and which may be called the Tesseral Harmonic of the second kind , of the degree i and order σ . CHAPTER VI . ELLIPSOIDAL AND SPHEROIDAL HARMONICS . 1. THE SPHERICAL HARMONICS OF THE SECOND KIND . 107.
Page 108
... ellipsoid . They have been treated of by Lamé , in his Leçons sur les fonctions inverses des transcendantes et les fonctions isothermes , and were virtually introduced by Green , in his memoir On the Determination of the Exterior and ...
... ellipsoid . They have been treated of by Lamé , in his Leçons sur les fonctions inverses des transcendantes et les fonctions isothermes , and were virtually introduced by Green , in his memoir On the Determination of the Exterior and ...
Page 109
... ellipsoid passing through the point x , y , z . a2 + v , b2 + v , c2 + v , the squares on the semiaxes of the ... ellipsoid , negative if it be internal . And , if a2 be the greatest , c2 the least , of the quantities a2 , b2 , c2 , e ...
... ellipsoid passing through the point x , y , z . a2 + v , b2 + v , c2 + v , the squares on the semiaxes of the ... ellipsoid , negative if it be internal . And , if a2 be the greatest , c2 the least , of the quantities a2 , b2 , c2 , e ...
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A. S. WALPOLE A. W. VERRALL Assistant Master Assistant-Master axis BEGINNERS BOOK Cambridge centre Classical Clifton College coefficients cos² Crown 8vo degree denoted density Edited by E. S. Edited by Rev ELEMENTARY English Exercises expression external point Extra fcap Fcap Fellow of St Fellow of Trinity Globe 8vo GRAMMAR Hence Illustrations internal Introduction and Notes J. P. MAHAFFY JOHN BOND John's College late Fellow LATIN Lecturer Litt LL.D numerous obtain Owens College Oxford P₁ P₂ plane potential preparation PRIMER radius rational integral function revised and enlarged satisfies the equation School Second Edition sin² solid solid harmonic sphere spherical harmonic suppose surface harmonic Tesseral Translated TREATISE Trinity College University V₁ Vocabulary y+b² y+c² zonal harmonics αμ αμσ µ² µ³
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