An Elementary Treatise on Spherical Harmonics and Subjects Connected with ThemMacmillan and Company, 1877 - 160 sider |
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Resultat 1-5 av 22
Side xi
... planes • 29. Potential varying as the square on the distance from a principal plane ib . 142 143 145 146 • · ib . 147 30. Application to the case of the Earth considered as an ellipsoid 31 , 32. Expression of any rational integral ...
... planes • 29. Potential varying as the square on the distance from a principal plane ib . 142 143 145 146 • · ib . 147 30. Application to the case of the Earth considered as an ellipsoid 31 , 32. Expression of any rational integral ...
Side 27
... , + } P. 9.7.5 4 4 P. + P1 + 35 7 2 1 7.5 P 09 2.4 4 με = 11 3 P2 + 7 11.9.7 ZONAL HARMONICS . 27 Potential varying as the distance from a principal plane Geometrical investigation of the equality of these definite integrals.
... , + } P. 9.7.5 4 4 P. + P1 + 35 7 2 1 7.5 P 09 2.4 4 με = 11 3 P2 + 7 11.9.7 ZONAL HARMONICS . 27 Potential varying as the distance from a principal plane Geometrical investigation of the equality of these definite integrals.
Side 28
... P12 + · P + Po + Pot 32 48 50 187 143 143 2 P2 + 11P .. 18 . Any zonal harmonic P , may be expressed 28 ZONAL HARMONICS . Expression of P; in terms of cose and Potential varying as the product of the distances from two prin- cipal planes.
... P12 + · P + Po + Pot 32 48 50 187 143 143 2 P2 + 11P .. 18 . Any zonal harmonic P , may be expressed 28 ZONAL HARMONICS . Expression of P; in terms of cose and Potential varying as the product of the distances from two prin- cipal planes.
Side 47
... plane curve at any point , is proportional to the component attraction perpendicular to the plane of the curve , exercised upon the point by a lamina , of uniform density and thickness , bounded by the closed plane curve . For , if ds ...
... plane curve at any point , is proportional to the component attraction perpendicular to the plane of the curve , exercised upon the point by a lamina , of uniform density and thickness , bounded by the closed plane curve . For , if ds ...
Side 48
... plane of xy be taken parallel to the plane of the lamina , and V be the potential of the lamina , its component attraction perpendicular to its plane will be dV Now since V is a potential we have ▽ aV = 0 , whence dz d V * V = 0 , or ...
... plane of xy be taken parallel to the plane of the lamina , and V be the potential of the lamina , its component attraction perpendicular to its plane will be dV Now since V is a potential we have ▽ aV = 0 , whence dz d V * V = 0 , or ...
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An Elementary Treatise on Spherical Harmonics and Subjects Connected with Them Norman Macleod Ferrers Uten tilgangsbegrensning - 1877 |
An Elementary Treatise on Spherical Harmonics, and Subjects Connected with Them Norman M. Ferrers Uten tilgangsbegrensning - 1877 |
An Elementary Treatise on Spherical Harmonics and Subjects Connected with Them N M (Norman MacLeod) 1829-19 Ferrers Ingen forhåndsvisning tilgjengelig - 2015 |
Vanlige uttrykk og setninger
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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