1308 



showed that there must be six roots ^ = 0, do not apply here, since 

 Xj=:yj = is not a particular solution of the equations (30). The 

 three roots of the corrected determinant corresponding to the three 

 zero roots of L =: may therefore differ slightly from zero, but 

 they will in any case be extremely small, and for all practical 

 purposes the other five roots are the only important ones. 



It remains to determine the coefücients .!,£ and A'i^. We have 

 the equations 



EAi, £• + i ^ ^ \fij, F {Aj^ E-F — Aj, e+f) + 



+ 9iJ,F{A'j,E-F + A'j^e+f)\ + ((i,E= 0,f 



(36) 



EA'i, E-\-h^^ \fij, F {A J, E-F + Aj, e-\.f) - 



J p 



—-g'i.j, F {A' E-F — A'e+f) I 4- «'.-, £ = 0, 



from which the coefficients can be solved by successive approximation. 

 Nearly always the first a[)proximation 



«,■ E , (^'i,E 



will be sufficiënt. 



