iit X(X — i)-{^3X — n^-Hi=:o, fiue (Xh-i)^ — nnrroj 

 hincque duo valores pro X reperiuntur: Xz:— ti— i etX=:^--i; 

 vnde fequitur pro valore completo ipfius v exprimendo re- 

 quiri duas feries infmitas^ quas fequenti modo referamus: 



^-^-4-5(z~"-'-S3z-"-3-4-€z-"-^-©z-''-'-+-(^a"-'^-9 - etc. 

 ^uarum autem fufficiet priorem determinaffe , quoniam po- 

 fterior inde nafcitur, fcribendo — n loco riy quamobrem ha- 

 bebimus vt fequitur: 



i^^zAz^-^-Bz^^^-t-Cz^-^-Dz^^-^H-Ez^-^-etc. 

 ||=(7i^i)Az''-^2_(^_3)]32n~4_^(^_5)Cz"-^-etc. 



^i:(Ai-i)(?i-.2)Az^-3-(^-3)(^-4-)Bz'*-^-+-etC. 



J. 41, Fiat nunc fubftitutio in fingulis terminis no 

 ftrae aequationis fequenti modo: 



^n-i ^n-% ^n^S 



as 9 9 V _ 



^22 



=:(?x-i)(n-2)A— (7i-3)(/z-4)B-h(^-5)(^--6)C— etc 



-||y= -(^-i)(7i-2)A-f-(n-3)(M-4)B-etc. 



^-^--^ 3(^-i)A- 3(w-3)B-h z{n-S)C-elc. 



nnv--' nnA-h nnB— nnC-Hetc. 



-t-t;zz:-t- A— B-»- C— etc. 



o zr oA-f- 4(n-i)B— 8(n-2)C-t-etc. 



— (n-i)(n-p.)AH-(^-3)(^~4)B— etc, 



5. 42. Cum nunc iingularum poteftatum coefficien-' 

 tes fe deftruere debeant^ per primum A , qui arbitrio noftro 

 relinquitur, fequentes omnes hoc modo determinabuntur; 



