ct formiila abiirrationalitatc libcranda crit ^^^; qui ca« 



fiis prorlus cdniicnit ciim problcmate pracccdentc, idcoquc 

 eaudcm habcbit roliitioncm. 



Scliolion, 



§. 56. Prncccpta hacftcnus tradita ad omncs fcre 

 formiil.is differentialcs, qiiac quidcm adhuc traclari potue- 

 runt , cxtenduntur. liitcrim tamcn ciusmodi cafus occur- 

 rere poflTunt, quibus idonea fubditutio, ad irrarionalitatcm 

 tollendam ncccfTarin, non tam facilc perfpicitur:' fcd acri 

 iudicio dcmum iiiucdigarc Iicct, in quo ncgotio cum 

 pracccpta gtncrah'a tradcrc nondum liceat , excmpla quac- 

 dam particularia fpeciminis ioco in mcdium allcramus. 



Exemplum i. 



§• 37. ^^ propofita fiierit haec formula irrationa' 

 lis- dP — _liLilrh^J:' — , eiiis intcgrale P inuejiigare. 



Si quis hic ciusmodi vti vcllct fubftirutionc , qua 

 formula y(i-|-.v*) ad rationalitatcm perduccrctur , olcum 

 et opcram cfTct pcrditurus, intcrim tamcn fingnlari artifi- 

 cio fcqucns fublbtutio ncgotium conficcrc potcrit. Statua- 

 tur ^'-=ip, eritquc 1 -\-pp~-^^lj, hinc 



tum vcro crit diffcrcntiando 



Op — — (^^TT? ' 



cx quibus valoribus colligitur 



ip a » V < f' -4- « ») 



77"-^: p p — (. — * X, V f' -+^ ' 



quae 



