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The mathematical theory of electricity and magnetism (1911)

Jeans, James Hopwood, Sir, 1877-1946 · Cambridge [Eng.] : University Press · leaf 399

An illustration from The mathematical theory of electricity and magnetism, 1911, leaf 399
dX 5, dX ^ dX \dx ox + ^r— by + -;:r bz ] ^i- ds +i wiv oy ,dx ^y ^ ^^ J ds and since Sx vanishes both at A and B, the termand the whole expression put equal to •^■/az^ dX ^^ 8x + ~-A {\cix By XSx ^dX_A ds Sxds, XSx B A may be omitted, /:{ dX dz ^dX dxds ^^ + ^ % + ^ ^^) j^ - (a^^ + ^ ^ + ^ ^) ^-^^… … Fig. 112. Now in fig. 112, let.P, Q, P be the points x, y, z; x + dx, y + dy, z + dz;and X + 8x, y + By, z + Sz. Let dS denote the area of the parallelogramPQQP, and let I, m, n be the direction-cosines of the normal to its plane.Then the projection of the parallelogram on the plane of xy will be…

Electricity · Magnetism

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