The Quarterly Journal of Pure And Applied Mathematics
The Quarterly Journal of Pure And Applied Mathematics
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In our eReader you can find the full English version of the book. Read The Quarterly Journal of Pure And Applied Mathematics Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book The Quarterly Journal of Pure And Applied Mathematics
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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.
What to read after The Quarterly Journal of Pure And Applied Mathematics?
You can find similar books in the "Read Also" column, or choose other free books by Sylvester, James Joseph, 1814-1897, [from Old Catalog] Ed to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
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.
What to read after The Quarterly Journal of Pure And Applied Mathematics?
You can find similar books in the "Read Also" column, or choose other free books by Sylvester, James Joseph, 1814-1897, [from Old Catalog] Ed to read onlineMoreLess
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