An Elementary Treatise on Spherical Harmonics and Subjects Connected with Them |
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Page viii
... Potential of a surface of revolution Potential of an uniform circular lamina BY 44 46 47 49 5. Potential of a sphere whose density varies as R - 5 51 6 , 9. Relation between density and potential for a spherical surface 10. Potential of ...
... Potential of a surface of revolution Potential of an uniform circular lamina BY 44 46 47 49 5. Potential of a sphere whose density varies as R - 5 51 6 , 9. Relation between density and potential for a spherical surface 10. Potential of ...
Page ix
... POTENTIAL OF A SOLID NEARLY SPHERICAL IN FORM . PAGE 69 ib .汤. 70 20 . 122 72 ART . 1. Spherical Harmonics in general 2. Relation between the potentials of a spherical shell at an inter- nal and an external point 3. Relation between ...
... POTENTIAL OF A SOLID NEARLY SPHERICAL IN FORM . PAGE 69 ib .汤. 70 20 . 122 72 ART . 1. Spherical Harmonics in general 2. Relation between the potentials of a spherical shell at an inter- nal and an external point 3. Relation between ...
Page x
... Potential of homogeneous solid nearly spherical in form 20. Potential of a solid composed of homogeneous spherical strata CHAPTER V. SPHERICAL HARMONICS OF THE SECOND KIND . PAGE 91 93 95 97 99 1 . Definition of these harmonics 101 2 ...
... Potential of homogeneous solid nearly spherical in form 20. Potential of a solid composed of homogeneous spherical strata CHAPTER V. SPHERICAL HARMONICS OF THE SECOND KIND . PAGE 91 93 95 97 99 1 . Definition of these harmonics 101 2 ...
Page xi
... potential varying inversely as 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 ...
... potential varying inversely as 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 ...
Page 1
... potential of an attracting mass , at any point x , y , z , not forming a part of the mass itself , it is known that V must satisfy the differential equation d'V d'V dev d2 V + + = 0 . dx2 + dy2 + dz2 or , as we shall write it for ...
... potential of an attracting mass , at any point x , y , z , not forming a part of the mass itself , it is known that V must satisfy the differential equation d'V d'V dev d2 V + + = 0 . dx2 + dy2 + dz2 or , as we shall write it for ...
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Common terms and phrases
Assistant-Master axis b²+w become infinite bounding surface C₁ Cambridge centre Chap co-ordinates coefficients component attraction confocal ellipsoid corresponding cos² Crown 8vo degree denoted distance dV dV dy dz Edited by Rev ellipsoidal harmonics equal Eton College expression external point Extra fcap factor fcap Fellow of St follows Greek Hence homogeneous function internal John's College lamina late Fellow LATIN monics multiplying numerous obtain Oxford P₁ P₂ plane positive integer potential Professor radius rational integral function satisfies the equation series of zonal shewn sin² solid angle solid harmonic solutions sphere spherical harmonic spherical shell suppose surface harmonic Tesseral thickness Trinity College V₁ writing y+b² y+c² zonal harmonics αμ αμσ µ² µ³ µ³)³ προ
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