m OBSERVATIONES DE CASIBVS 



cu^du-+-fuy^du^dy ut iam redudam ad alterutram for- 

 mnlarum A vel B & infitiitorum illorum ca(uum integra:- 

 tjones uno theoremate compiedlor : /Equationis different, 



.T 2n-i'~dx--x'~2n-~y'^dx—dy (ubi n Cit numerus inte- 



ger affirmativus) integralis eft yzzct,-^^. Signum ^^ 

 denotat divifionem ambiguam , fi cnim in formula asqua- 

 tionis diff^ ex fignis h^ ^ , datum fuerit fuperius (qui 

 cft cafus formulEE A) ftimendus eft in integrali divifor 

 quem indicat aiigulus a linea fuperiare ad horizontalera 

 fadus nenape p *, ftinferius fignum in aequatione difF. da- 

 tura fuerit, fomatur in inteerali divifor quem inferior li- 

 »ea ad liorizontalem afcendens deflgnat ut fiatjir:^^ 



Ne quis vero in ufiT huius canonis haefitet , exemplis 

 nonmillis eundem illuftrabimus quibus intelledis ulteriores 

 cafus non erunt difficiies. 



I. Sit integranda asquatio x~^dx — y^dx ziidy 



— i 



quse pertinet ad formulam A y fiet rm.\ p-zl. azzx 



-2 — J —2 



H-a: j(3zi:i. Ergo integralis quaefitaj=:gr=;c -^x 

 iinde fequitur aEquationis dx — y^^x^^dxzzdy integrakiii 



II. Sit integranda aequatio x ? dx-y^dx^dy , fiet 



zL ^ -il_ 



^^iP—3^y—^ rr undefeqm- 



-g — 

 tur sequationis ^T^-^j^^Y 3 dxzzdy integralcm efie jrr 



« — 



