An Elementary Treatise on Spherical Harmonics and Subjects Connected with ThemMacmillan and Company, 1877 - 160 páginas |
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Página xi
... distance from focus 24 , 25. Consequences of this distribution of potential 26. Ellipsoid with three unequal axes • 27. Potential varying as the distance from a principal plane 28. Potential varying as the product of the distances from ...
... distance from focus 24 , 25. Consequences of this distribution of potential 26. Ellipsoid with three unequal axes • 27. Potential varying as the distance from a principal plane 28. Potential varying as the product of the distances from ...
Página 8
... distance of a fixed point , situated on the axis of z , from the origin , and R be the distance between these points , we know that , 2 R2 = x2 + y2 + ( z ' — 2 ) 3 , and that D2 = 0 . Now , transform these expressions to polar co ...
... distance of a fixed point , situated on the axis of z , from the origin , and R be the distance between these points , we know that , 2 R2 = x2 + y2 + ( z ' — 2 ) 3 , and that D2 = 0 . Now , transform these expressions to polar co ...
Página 44
... attracted point lie within the sphere of which the ring is a great circle , and the series ( 2 ) if z be greater than c , or if the attracted point lie without this sphere . Now , take any point whose distance from the centre CHAPTER V.
... attracted point lie within the sphere of which the ring is a great circle , and the series ( 2 ) if z be greater than c , or if the attracted point lie without this sphere . Now , take any point whose distance from the centre CHAPTER V.
Página 45
Norman Macleod Ferrers. Now , take any point whose distance from the centre is r , and let the inclination of this distance to the axis of the ring be 0. In accordance with the notation already em- ployed , let cosμ . Then , the ...
Norman Macleod Ferrers. Now , take any point whose distance from the centre is r , and let the inclination of this distance to the axis of the ring be 0. In accordance with the notation already em- ployed , let cosμ . Then , the ...
Página 47
... distance from the attracted point , the inclination of r to the line perpendicular to the plane of the lamina , the elementary solid angle subtended by dS at the point will be dS cos 0 p2 And the component attraction of the element of ...
... distance from the attracted point , the inclination of r to the line perpendicular to the plane of the lamina , the elementary solid angle subtended by dS at the point will be dS cos 0 p2 And the component attraction of the element of ...
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An Elementary Treatise on Spherical Harmonics and Subjects Connected with Them N M (Norman MacLeod) 1829-19 Ferrers Sin vista previa disponible - 2015 |
Términos y frases comunes
A. S. WALPOLE A. W. VERRALL ALGEBRA ARITHMETIC Assistant Master Assistant-Master axis BEGINNERS BOOK Cambridge centre CHEMISTRY Christ's College Clifton College coefficients cos² Crown 8vo degree denoted density Edited by E. S. Edited by Rev ellipsoid English Exercises expression external point Extra fcap Fcap Fellow of St Fellow of Trinity Globe 8vo GRAMMAR Hence HISTORY internal Introduction and Notes J. P. MAHAFFY John's College late Fellow LATIN Lecturer Litt LL.D Macmillan's Mathematics numerous Illustrations obtain Owens College Oxford P₁ P₂ plane potential preparation PRIMER radius rational integral function revised and enlarged School Second Edition solid solid harmonic sphere spherical harmonic surface harmonic Tesseral Translated Trinity College University V₁ Vocabulary y+b² y+c² zonal harmonic αμ αμσ μ² µ³
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