The mathematical theory of electricity and magnetism (1911)
Jeans, James Hopwood, Sir, 1877-1946 · Cambridge [Eng.] : University Press · leaf 279
parabola in the form x + a = cvm?, y = 2am,and the transformation is seen to be z = aW~-a+2aiW^a(W-i)-, agreeing with that which has already been seen in § 317 to give a parabolaas a possible equipotential. 270 Methods for the Solution of Special Problems [CH. viii 321. As a second example of this… … Fig. 89. We can take a = c cosh a, h = c sinh a, where c- = a- - ¥, and the trans-formation becomes ^ = c cos ( TF + ia) = c cos {f7 + i ( F + a)}. The same transformation may be expressed in the better known form z = c cosh W.The cquipotentials are the confocal ellipses X a + f _ -\-\ ¥ + \ = 1,…
Electricity · Magnetism
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