FORMrLAR. IKTEGRAUVM. 3» 



Problema 5. 



tfs, Inuenire cafus, quibus exprefHo fdzV j,z^j:r% 

 aeqiMtur quantitati algebraicae; asV i^H vna cura 

 aKU fcdionis conicae. —-—% ^*) rn-O .>^ 



Solutio. ^t if . iii 



Fonatur /^^ Vi-^l-f| = a 5; V J^, rl H- 2; ' crit^ 

 que difFerentiando : - *. » \«. 



^ ^is,(i -ct)//3 + (//(: + (r-2alc^)gg+Ci-a)gfeg*) 



"vbi numerator, neque ^ex f-\-gzz, neque per^+fe^s, 

 rcddi potert diuifibilis , qpin fimul ^nt fk~gh , redu; 

 cetur autcm Z ad formam pofteriorem $. 62. ponen-r 

 do azir i , 



eritque Z=ifk-£h)J^-^P^j.—-y 

 Hinc habebimus vel : "! 



J"^*^ h-i-kzz — ^^ h-^kz.x^ k >"•* '^ £-j-(Jfe — fib)x» 



exiftente x zz ^fjF+YTz) r ^^^ ^^'^'^ • 



JU" I' b-+-k z z — ■^ ' h^kzz > "y ' g — ^yy 

 ^ exiiknte y=zW {-^1^1. 



Coroll. I. 



54. Qiioties e^go, vel formula jdx ^ jz^^^^^^ 

 Tel haec: /^V^^^— , ad quempiam cafuum iam tra- 

 dtaiorura referri potelt, toties quoque formula/i/sV^fJ^* 



partim 



