The mathematical theory of electricity and magnetism (1911)
Jeans, James Hopwood, Sir, 1877-1946 · Cambridge [Eng.] : University Press · leaf 212
in be / (r, 0, cf)) = 0, then the equation of its inverse will be f i — , 6, (f>] = 0. For the polar equation of the inverse surface is by definition f(r, 6, <^) = 0, where rr= R- for all values of 6 and j>. 226, 227] Inversion 203 Inverse of a sphere. Let chords PP, QQ, ... of a sphere… … Fig. 68. is its own inverse. With some other radius of inversion K, let PQ... bethe inverse of PQ ..., then OP.OP=OQ.OQ=... = K\ OP OQ _ ID so that OP OQ and the locus of P, Q, ... is seen to be a spheresphere is always another sphere. A special investigation is neededwhen the sphere passes through…
Electricity · Magnetism
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