$.% DE COMPARATIONE 



C o r o 1 1. I. 



24.. Quanquam igitur acquationis diffcrcntia- 

 ]is propofitiie , in qua ambae \ariabilcs x ct j' a fe 

 inuiccm liiiit fcparatae , neutrum mcmbrum inte- 

 grationcm ablolutam admittir , atque adco ncque 

 pcr lo;^arithmos neque arcus circularcs in gemre 

 exprimi potcft, tamen vera rclatio intcr variabiks x 

 ct j aequationc a!g<.braica exhibcri potclt. 



C o r o 1 L 2- 



25. Qiiemadmodum fcilicct fi duo arcus quan- 

 titate conflantc difTcrunt , etfi ncutcr algcbraicc ex- 

 primitur , tamcn eorum finus intcr fe algcbraicam 

 tenent rAtioncm , quae fatib'acit aequationi diffcren- 



tiali 7i7^y)^7T^^) ' ^^^ qnoque acquationis 

 diffcrentialis propofitae multoqnc latius p.uentis in- 

 tegrale complctum algebraice cxhibcri potcfl. 



S c h o I i o n. 



^> 25. Vis huius folutionis facilius percipictur , 

 fi eam ad cafus magis rcdridlos appliccmus , jnter 

 quos ii pra.cipuc (unt notatu digni , ^bi fignum 

 radicale \el vnico vcl duobus tantum terminis prac- 

 figitur ac fi vnicus tantum tcrminus rcpcriatur , 

 racio. pcr fe eft manifefta. 



I. Sit enim R — o,- C~o,- D — o, et E — o vt 

 intcgranda fit aequatio : 

 i' -H-^vi ^iiie dj—dx erit 

 ttz=4-AM; 'S—o; y— -MM,- J^rrMM; f=r o; ^—r; 

 j; i-; 1/. . .i. ideoquc 



