§. 10. Hiinc in finem ftariiariir d & :=: p d v ^ vt fit 

 d()& = pddv-\-c)pdi-^ qiiibiis valoribus iubftitutis nollide 

 act]uationes inducnt li.is formas: 



I.) « ( I — p) ()d V — nd pd 1) — V p pd i^ ~ o; 



II. •!• pddv -\-'vdpdv -\- p {z — p)'dv-~o; 

 rnde duplici modo valor ipfius ^i-H. dcfiniri potcrit; prodibit 

 fciJicet i°.) ^^ ^' — nip — vppiv . 



^ V n l I — p I ' 



2°. ) *' "^ ^ T Jf> — f>ia — pWv . 



^ d M p V ' 



qui vnlores intcr fc coacquati producunt fcqucntcm acquatio- 

 ncin differentialem primi gradus : 



p^ V V d V ~. ti V d p -\- n p d V (z — P) (- — p)y 

 cuius autcm forma ita cft comparata, vt nulla \ia pareat eius 

 integrae iniicftigandi , nifi forte cafu in ciusmodi multipiicaio- 

 rem incidamus, qui cam intcgrabilcm reddar. 



§. II. Tntcrim tamen irtam acquationcm adhuc fim.- 

 pliciorcm rcddcre licebit , dum ciam lijcra // c\ calculo c\- 

 cludi atque adco ad fiiTipIiciorcm porcdnrcm rcdigi porcfl , 

 quod fict poncndo v — ]/;/w, vnde fit t) c ~ -^"-^, ct acqua- 

 tio nollra fict 



p^ u d u z=z 2U d p -h p ^ u (i — P) (2 — P). 

 Ncque vcro hinc qiiicquam vlrcrius concludcrc Jicct , vndc 

 ilhim laborcm alio n.odo aggrcdiamur. 



Analyfis ad pcrfcclani quacn-ionis fulutioncm 



pcrduccns. 



§. 12. Ononiam pollrcniam aenna'ioncm difrcrcnrialcm 

 primi gradns imrr ci;iarc c\ acqna'i(>pibiis tiifTcrcn'i;ih"bns fc- 

 cundi grudui dcriuauiiuui. , ncquc >lla auhuc intcgraiione (u- 



n.us 



