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The mathematical theory of electricity and magnetism (1911)

Jeans, James Hopwood, Sir, 1877-1946 · Cambridge [Eng.] : University Press · leaf 256

An illustration from The mathematical theory of electricity and magnetism, 1911, leaf 256
ded we choose A and B so as to have V =1 whenX, = 0, and F= 0 when \ = 00 . In this way we obtain ^^ = 7^ (207). Jo AxThe surface density at any point on the ellipsoid is given by dn d\ dn ^ d\ r^- d\Jo aI J I ClA, abc I -— Aa Jo .(208). 282-285] Confocal Coordinates 247 Thus the surface density at… … Fig. 79. any point \, /x, v, and let p be the perpendicular from the origin on to thistangent plane. Then from the geometry of the ellipsoid we have p={a + \)l + (h-+X)m + (c + X)n- (209). Moving along the normal, we shall come to the point X + dX, [x, v. Thetangent plane at this point has the same…

Electricity · Magnetism

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