i M FTRODVS AEQJ-JTIONES DIFFERENT^ 

 Ciim veio fit per hyporhefin : 



erii Dzdz-{-z{Cdu-{-3Dudu-\-Dd\')-hD\dz—o 



. , ,. A td u Cu ^ • ,.; du Cdu 



At ob V = D - o7 - "D -uutmdV —.- - — -^ 

 — 2udu atqiie Dzd z-\~ z{~ ^'' -{-Dudu)-\- J{A<ji*^ 

 (D-t-Cw ) w-Du/^*) — o fcu zdz->t-zdu {u-l,)-\-dz 

 ( p — ~^"'jr^^ — «m)~o qiiac aeqimtio nili bcnc tra- 

 dlctiir , ditHciilter ad fepanitioncm variabiliiim pcrJucitiir. 

 Inrcrini lameu continetur in hac forma gencrali , quac 

 feparaiioncm admittit : 



zdz-^-zdu^u-^-a^ — dzluu-^r^i-bu-^-c). 

 Ad quam feparandam pono dzznpdu fietquc 



5- T^Vj^iT^ et diflTcrcntiando : 



ttz—pdu— rfz^ir:^^ ^ 



lcu pdupp-^-^ap-zbp-^-aa-zab-^-c^—^u-^-a^^uu-^-ibu-^ c)dp 

 in qua variabilcs fpontc a fc inuiccm fcparantur : crit 

 enim : 



Ap dtt 



f(Pp-»-:(u-6-p-*->"J- lo-f-cj [\i-^-.t){uu-i-2 bu-^-c) 



Opus autcm forct (iinimc tacdiolum , fi hanc aeqnationem 

 intcgrare , atquc cxiixlc intcgrale acquationis diffcrcntialii 

 tcrtii gradus crucrc vellcmus. 



§. 4-. Apparct hinc quanto labnrc tandcm huiu^mo- 

 di rcgulai fcqucndo intcgrale acquationis diffcrcntialis ter- 

 tii gr.idus erui polfit , vndc vtilitas mctht)di mc;ic in Vol. 

 VII. Milc : expofitac non mcdiocritcr pcrlpicitur. Eo 

 magis autcm cius vtilitas in oculos incurrct , [\ loco acqua- 

 tioni."- ditficntialis tcrtii gr.idus alia , (iiiac fit quaiti altio- 

 iiawc gradjs morc vfuato iiat^ctur , tum cuim iiibllitutio- 



nes 



