ET SOLVTIO PROBLEMATIS, 131 

 crit 



Corol]. 2' 



4. Subftitutis autem loco a, ^, y his valoribus, 

 erit 



J' — PP-Cfexx 



^jV(A Cfefe-hBiiiPi3 4- (3*i± (3v/fc(A -f. ByyH-Cjy*) 



•* — ~TP — c fe j)i ^-r 



qui ergo funt valores illi aequaiioni integrali conuenien- 

 tes , et quia in his formulis inefl; conftans arbitraria 

 y , eae integrale compktum exhibere funt cenfendac. 



Coroll. 4. 



5. Ad has formulas commodiores reddendas , 



quia pofito xzilo fitj— ^LlT"» po"^t"t -^zir/^j et 



proditit : 



XV A(A-+-B//-4- C/*)-t- /VA(A-»-B :ca:-t- Ca:*) 



U A Cjj X X 



,, „ 7Vl-^ ( A -I-B/ / -4- C/ *;± /V A(A -f-B.> 2' -♦-.'>♦) 



quae funt radices huius aequationis : 



Coroll. 5. 



6. Si ergo relatio inter at et y hac aequatione 



exprimatur : 



o - - A/+ A {xx\yy -±^ ^xyVMk +B/+ Cj*)-Cffxxyy 

 tum erit : 



J VTaTh- B^^yiflCy*) ih ^ V(A -i-Bxx-f-Ca:*) ^ Conll. 



|- ■ d j ^ , dx 



*^^^ VlA-H^B^J-t-Cj*) dt VCA-f-Bxx-f-Cx*) — ^. 



R 2 CoroU. 



