— 349 — 



ar', — las' — hi') [ (a,' —b, ')(«,- — fc/) — 4a, a, 6, 6, ] 



— hui J»3 (fli a^ — hi bi) (fli ti H- ft, Ui) , 



A-j" = {ai — by) C (o.' — fc/) (a/ _/»/) _ 4a, a. &, 6, ] 

 -♦- 4a,i bi (a, a?. — ft, ftj) (a, 6,. -H 6, a,) , 



xj"'=-(a/ — bi') I [ui'' — ftj')(a/ — ft/) -+- 4ai a^ ft. ftj] 



— 4o3 fts (ai flj -f- fti ft,) (oi fcj — ft, Oi) , 



Xi"'=.(a3^ — bi')l[a,^ — b,'){a,:' — h/) -t- 4a, a, ft, ft. j 

 -t- Attj ftj (a, ttj -)- ft, ft^) (ffli ft. — fti a,.) ; 



j/'3 = 3oj fti [ (a,' — ft,-) (a,' — ft/) — 4a, ft, 02 ftj] 



-t- 2 (as' — ftj') (a.aa — fti ft,) (oi6,+ 61a,), 



i/i" =-'2rt, 61 [ (a,' — b'^.fij' — 6,') — 4a, fti 0,63] 



— 2 [m" — ft,v')(a, a, — ft, ft^) (a, ft, + ft, a,) , 



1/1'"= 2a3 bi [ (a,- — ft,^)(o2' — ft%)-t- 4ai a.fci fta] 



-4- 2(a3' — 63-) [a, a. -j- ft. fc;,)(ai 6^ — ft. a.) , 



2/1'^ =2a3ftj[ (a,' — ft,') (a/ — ft/)-f- 4a, a,6, ft^ ] 



— 2 (aj' — 63 ) (a. a, -+- ft, ft;,) (ai ftj — ft, a~) . 



Le soliizioni di questultima specie riescono funzioni simcuetriche dellc 



«i , fti ; flz , ftj ; (I3 1 bi : 



inoltrc per qucsto terzo caso abbinmo 



.a'=1G , fx'=3 13, ^"'=3. 



Sia data la 



x=+i,= =1l05' =(17. 13.5)===[(4' + r-)(3''-l-2-)(2'-H I') ]' , 

 avremo 



a, =.4,6. = 1; a. = 3, ft. =2; aj =2 , 63 =• 1 ; 



c si avranno per la prima specie le tre seguenti soluzioni 



a;', =,G63 =. 13. 17.3 , y', = 884 = 13. 17.4 , 



.v,"=.975=-o. 13. 15, 1/,'= 520 =.5. 13. 8, 



I," c=425 = 5. 17.5, y,'"— 1020 = 5. 17. 12. 



