208 



also nach II.: 



oder 



J. A. Grunert. 



B{(f-f,)A + ig-f,,)B + (Ä-A,)Ci -07-^0 iA' + B' + C=), 

 A[CA\-B[BC] = CAif-f,) — A'ih — h,) 

 + CBiff~g,-)-B'ih~hO 

 CW /■.).4 + (ff~ffdB + (Ä-Äjri -(Ä-//,) (.4= + ß^ + r); 



B[AB]-C[CA] = ^(f-f,) (# + B'- + O. 

 r[5(7] -A[AB] = (ff^ffö (£ + B' + C'), 

 A {CA^ B{BC\ = ~ (Ji~hd iA' + Ä' + C^, 



C [CA^ -^ B [A 5] = if~ /■,) iA' + B' + C') , 

 A [AB] ^C[BC] = (ff -ff,) (J-' + 5' + n, 

 B[BC] — A[CA] = ih — //,) (.1- + Ä- + C^. 



IX. 



{A[CA] — Ä [//C] \' -^ {B [AB] — C[CA] ]' + \ C[BC] - .1 [AB] j' = ^- (^^ + B' + C')*. 



^[AB]-aCA] 

 aBC]~x[AB] 



X. 



-(Ax + B^ + Q) (/^A) + A{if-f\)x + (.9-/7,)9 + (/'~/'.)3l, 

 -{Ax + 5i; + O) (ff-ffd ^B{Cf-f,)x + (^ -70 9 + (/'-/'.) 5!- 



XI. 



ix -r) [ßC] + (9 -ff) [CA] + (5-/0 [AB] = 0. 



XII. 



(r-/-,)[ßrj + (p-ffd[CA] + (j-/0[l^^] = 0- 



Dritte Classe. 



I. 



U = (g — fft) (/V/, ~ ///•,) — (Ä — Ä.) (/, f,—flH), 



W=(f-f\) (/,/•,/■/,,) -(^-^J (^gh,-hff,). 



