COMMENTATION* QUAESTiOtfEM; MATHEMATICAL!. 8fl 



Q7)? + ?7>Q + C > > = o: ef integrando Q? -f Cf> + D v, 

 D denotante novam arbitcariam constantem. In hac formula igitur fiat substitute, 

 eritque , 



. p ^ ^^D^ t> ~ < i t l 



unde ~tx = | - , j , r^yf- = 2 ( i"+7>)5 + * ( i + /) 4 



porro, cum 



^dp |D^> . in _ 7 



T? " c~+7i c> 



ergo =- 4 - 



E ........ (A) 



x _ _ 



^5 ergo y = J>7>* + F == ^ - /*> + F-, id est, sub. 

 stituta x: 



/4^ 0^_ 

 4 (I 



. _ c ^ re- n,^. c?) _ . D 



+ ? 2 ) 



P T-. . 



Erao y = * . t. =^r + |D^ Arc. Tang. (/>) + C ^rc. ?/;,. (/>) 



O W * ^ft I ^* \ 



... 



. 00 }D o^. (i +/) +F = F - 

 C ^rc. 7rf. (/>). 



* E , 40 



Ex aequatione (x) deducitur; Arc. Tang. (/)= TD""D"'"D(i4- 



4 - , 

 ergo jr = F - D _- + -^- -^- ' D (l 4. ^) 



4 * 

 -- 



M fac 



