M 



342 Mr. G. H. Bryan on the Equations of 



=§\(mr — nq)<f)d& — '2fcN(mr—nq)dcr 



+ (j { l{u —yr + zq) + m(v — zp + xr) + n(w — xq + yp) } ^— rfS 



by (2). 



Lastly, the third line of (7) is, by Green's transformation, 



Hence, adding the several terms together, we have 



^dfdu 

 + r{p$m<l>dS-tKp§mda}-q{p§n<l>dS-'ZKp§iid(r} . (8) 



Now by (6), 

 fore 



Therefore 



6. In like manner we have 



■ (ny-mz)-^-dS 



J j { {u-yr + zq) g| + (two similar) j (wy-ms)rfS 





