• j:^. -r--«t^ ^;^! -r- -i v^v-T->»y ^^j 



^ 1 A(T;-+.ii)fu» — a- ) I Bf i>-4-u)Ctj' — a^) 



Quae aeqiiatio ad hanc formam concinnam reducitur: 



-(A-f-B) (3 ('u-{-uy- a') 4- '^{V-]-uy-\-zD a(v-{-u). 



Ideoque multiplicata aequatione vtrinque per dv-\-du 

 fict intcgrabilis, integrali nimirum indc prodevntc 



. ^^ u^'AJ^-^~[A-\-B) ((V -\-uy - a^v ^ u)^ 



^ _^ (i; _|- uY -^ D a {v -\- uY -\- E a^ , 



atque hoc intcgrals cum \{\o fupra inuento prnrfus con- 

 fcntir , pofito E — — ^ C' — D — 7«' fl^ Tum vero ilU 

 combinatio: 



2 VU\ (I.)- 2 ?/!)'-. (II.) _t- 2 (CJ - U). (111.) 



ad hanc perducit aequationem : 



r ( A-B) ( 3 (v - uy - a) -\-'-S(ju- tt)'+2 D a {v-u), 



Atqne haec acquatio per dv — du multiplicata iterum fiet 

 integrabilis, exiltentc integrali: 



^, ,^. '^'^"-11 — ( A - B) ( (v - f/)' - fl^ (^ - tt) ) 

 -i- .:t (^ - «)^ 4- D (i^ - «)' H- E fl\V 



et 



