Mathematical investigations concerning the laws of the equilibrium of fluids analagous to the electric fluid / by George Green.

  • Green, George, 1793-1841
Date:
1833
Catalogue details

Licence: Public Domain Mark

Credit: Mathematical investigations concerning the laws of the equilibrium of fluids analagous to the electric fluid / by George Green. Source: Wellcome Collection.

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    then compare it with the forinulse (25) of the present article, we sliall have generally and r<'>= -2(7«-’‘;^. {(^(/; O)+0(e; 1) ^ +0(/; 2)^ 3) ^ + &c.|, a' except when i = 0, in which case we must take only half the quantity furnished by this expression in order to have the correct value of H ence whatever 7i may be, 2 sin e^'’ = 0, and = n - I qa 1 — the particular value ^ = 0 being excepted, for in this case we have agreeably to the preceding remark sm <«)_ _ n — \ and then the only remaining exception is that due to the constant quantity on the left side of the equation (27). But it will be more simple to avoid considering this last exception here, and to afterwards add to the final result the term which arises from the constant quantity thus neglected. The equation (26) of the present article gives by substituting for ci/’ its value just found. = w — 3.W — 1 . w — 3.w-l,w — 1 2 . 4 2.4.6 + 2 sm , in — 1 qc^ * (1 — «*) 3->i -2\ 2 2 sin n—\ (^2_ j) 2 ^