S& METHODFS: CVRVARVM' 



haec. relatio inter x tt y fatisfaciet. huic. aequationl-^ 

 integrali : 



fcu differentia iftarum formularum.integralium.algebraict : 

 aflignari : poteft, 



RELATIO SECVNDA 



inter binas variabiles x et y 



o zr ot H- 2 [3 (a; -^y ) -\- yixx-^-yy) -\-2$xy 

 j6.> Quoniam , vti in praecedentibus deprehendi- 

 mus , . ambig'jitas fignorumv radicalium : ab aibitrio noftro 

 pendet , dummode cius ratio in conclufionibus finiiiibus 

 debite habeatur , fi ad difFerentiam binarum formula- 

 rum integraliuji peruenire . Yehmus , extraliendo radices, 

 habebimus : • 



-^-P — Sx^ ^( ^^-^oiy-^,^{S—y)x-t-{SS-^yy)xx) 



y — '7 



— (3— yj.4-V'pp~a7-4-:(3(5' — 7)3^ -h(5'g — 77)jyjy) 



17. Statuamus breuitatis gratia.has formulas ir- 

 rationaks : • 



y((3(3-«Y-^2p((J-y)A:4-((J^-yV);*:A')— P 



y(p (3-aY -i- s (3;(^- y)y -\-\^^ -yy)yy)—^ 



eritque . 



-P — pH-yy-ff^Jt et Q.— P4-yAr'i-(Jj' 

 "Vflde . eliciuntur iftae . relationes 



P + Q-(y-<J)(x-j) 

 yP -H ^ Q.— (3 ((J - y ) -f- 1 <^ ^ - y y) J' ■ 



18. Ac- 



