z6 METHODFS AEQVJTIONES DIFFERENT. 



^ax 



exirtcntc : 



5r =:=D-}-4.Ea-|-ioFa'-|-2oGa'-4-etc. 

 Facilius autem hoc immcdiate ex aequalitate trium flido- 

 nim oiknditur. Sint enim , tres fadlores quicunquc {z-ai) 

 {z—t){z—y) ac pofitos 



5(=A(a-e)(a-y)a-(J)(a-e) ctc. 

 23=:A^g-a)(g-Y)(g-^)(g-e)ctc. 

 ^zzA(y-a)(y-g)(y-<J)(y-e)ctc. 



erunt integralis parics hiuc oriundae. 

 ^-Je-^Xdx-^-^-fe-^^^Xdx-i- ^-/^-^^X^r. 



Ponatur iam gzza-f-wcty — «-!-<$>, exiftentrbus w et 

 Cj) quantiuitibus euaucfcentibus , ac poiito 



5i^^ — A(a-<J)(a:-£)(a-^) ctc. 

 crit 5i = 5l"w(p, 35=:5r^oj(w-(p), ct^C-2i''^(Cp-w). 

 tum vcro erit ^^''zr^**^ i H-wJt-f-JwV), e~^ — e—^ 

 Ij^^x-hloi^x') ^^^'^^-^'«(n-Cp.v-f-LCpV) , e-^^^—e-^ 

 (i— (P.v-f-',4)V). Qiiibus lubftitutis ternac imcgralis par- 

 tes abeunt iu : 

 „ r /£'-'^X</.v(oj-(P+ (p -} a;(P.v+:a)'(I).v*-a)-w(I)A'-\-iw(J) V) 



^n— ^ :r,- i /^-«^X.v</.v(-w(p-wa.(I).v-l-w(I)-|-w(p(I).r) 



^ '^^.^-4)) ^y,-X.-V.v(;a.a.(P-'a)(D(I)) 



liiblatis nunc pcr diuifioncm littcris euanclccntibus o) ct <P 

 fiiAor cubicus {z-af dabit hanc intcgralis partcm. 



goja 



