INDEFINITAM ELEFANDO. 173 



eum fit C m = , fore C m — ' =3 



1.2 1. 2 



B m — 2 B m — * 

 C m — ■ — . - - - Efl: enim C m — r aequale C" 



quod prodit , fi loco m fubftituatur /w—r, fadta autem 



B m — 'B m — -* 



hac fubffitutione , vtique fieri debet Q m — l zz. ; , 



ac ita porro. Idern etiam irr caeteris> coefficientibus , 

 f\. fimiles- occurrant cafus, femper tcnendum 1 eric. Si 

 iam reducamus aequationem z m D 1 *~z m J (A m D m 

 -+- B m C m - r -+- Q m B m ~ r -\- D m A m — ■ ) erit 6 D m 



B m B m ~*" 1 B m_, ~* gmgm-i^m-j -yngm-igm-r 



=: — —• - — t ■ , fiue D m z-. -—.. 



& z~ 1. 2 ' ». 2. 3; 



Smili modb, operationem Ylterius continuando \ ; re- 

 gm gm-i _g~t— 1 B m_I B m B m ~ ' B m ~*B m - I B m "* v 



peritur E m c~; _. F m =~-— 



i- * 3- 4 i- 2- 3 V 4-- 5' 



Vnde colligimus fore geoeratim r fr fit T coeffieiens 

 termini rti ab initio , non connumerato terminc* 



gmjgm-igm-s _ ; . JJffl-r+i 



primo, T m — 1 • s. 



* 1. 2. 3. . - - f? 



9) Abfolutum fic erit negotiurrf, modo valor 

 ipfius B , quem metbodo , quam hactenus fecuti fumus, 

 non obtinuimus , eruatur: Viam parabunt huic inuefti- 

 gationi fequentia : Sumntur m recipere valores r , s > 

 ct r-+-s , ac erir (.r-f- 1 ) r -»-*--: ('jr-f- 1 ) r . (r-f- 1 )*. 

 Eft autem (*-f- r ) r ---:;^; r -i-B r ;t; r - , - — , ac (tf-f-i) r 

 = x J + BV- - - - - - - - - - . - 



feinc (,tf-fc-i) r . (x-f-1) 1 — A: r - | - J -f-B r ^ r -^ I - , - - - . 



H-B 5 ^ r -+* s -' 



Y 3, qua~ 



