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4. On some Quaternion Integrals
Published online by Cambridge University Press: 17 February 2017
Extract
In my paper on “Green's and other allied theorems” (Trans. R. S. E. 1869–70), I showed that
where P is any scalar function of ρ, and the single integral is extended round any closed curve, while the double integral extends over any surface bounded by the curve, ν being its normal vector.
Writing
this gives at once
of which the scalar and vector parts respectively were, in the paper referred to, shown to be equal.
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