The Quarterly Journal of Pure And Applied Mathematics
The Quarterly Journal of Pure And Applied Mathematics
Sylvester, James Joseph, 1814-1897, [from Old Catalog] Ed
The book The Quarterly Journal of Pure And Applied Mathematics was written by author Sylvester, James Joseph, 1814-1897, [from Old Catalog] Ed Here you can read free online of The Quarterly Journal of Pure And Applied Mathematics book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is The Quarterly Journal of Pure And Applied Mathematics a good or bad book?
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Reciprocal Theorem. Take the pole 8 either within or without the shell, it is easy to see that the reciprocal surface of a sphere is another sphere. Therefore the potential of Digitized by LjOOQ 1C On a Proposition in Attractions. 133 a spherical surface whose density varies inversely as the cube of the distance from a point 8 at another point Y, separated from 8 by the attracting surface, is the same as that of a certain mass collected at 8. \ 8 This mass is -= . lira. For let c be the distanc...e of 8 K from C the centre of the sphere A. Then 8 being the centre of similitude of the two spheres, if ** be taken equal to the rectangle of the segments into which a chord from 8 is divided by either sphere, i.e. equal to ±{c* — a*) the two spheres become identical, and therefore the mass collected q_ 47r\ 8 a at *- ± (c 8 -aV Theorem. The potential of a spherical surface of uniform density and radius a on an external particle is the same as that of a mass Anrd* collected at its centre. Reciprocal Theorem.
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