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The mathematical theory of electricity and magnetism (1911)

Jeans, James Hopwood, Sir, 1877-1946 · Cambridge [Eng.] : University Press · leaf 272

An illustration from The mathematical theory of electricity and magnetism, 1911, leaf 272
tor OP by the vector OP, we simplyconstruct on OP a triangle similar to AOP. The same result can be more shortly ex-pressed by saying that to multiply / (= OP) byz(= OP), we multiply the length OP hy \z^^ andturn it through an angle arg z. So also to divide by z, we divide the lengthof the line… … 264 Methods for the Solutmi of Special Problems [ch. viii ConformaI Representation. 312. We can now consider more fully the meaning of the relation U + iV=(l>(x + iy). Let us write z = x -\- iy, and W =U -{-iV, z and W being compleximaginaries, which we must now suppose in accordance with…

Electricity · Magnetism

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