•44^ ) P^ ( ^?S« 



fcunt , fiqiiideni conditioni fatisfiet, ponendo tam «rAe** 

 quam z — A'e'^'^. Quin etiam componendo fatisfiet «— A^*' 

 -fA' (?*''. Hic obferuafle iuuabit, plerumque contingere, Vt, 

 cognito vno integrali particulari, in eo fignum radicale in- 

 cfle foleat, ob cuius ambiguitatem duo fimul integralia par- 

 ticularia innotefcunt, ex quibus deinceps intcgrate comple- 

 tum aflignare licet; ita pro hoc cafu foret 2; = A e*'4-A'^*'' 

 integrale completum , cafu fciiicet aa-H2»;a-{-« — o, 

 ita vt ob A — s habeamus valorem partis integralis 

 A — A«*'H-A'f*'^ 



§. 14. Ne autem cafu , quo « > »z w , imaginaria 

 negotium nobis faceflant , ponamus ad ea elidenda, 



y n — m m — >., eritqne hinc a — — ot + ?vV— i fiuc 

 ot. — — m-\->.V—i et a' ^ — m — hV — 1. 

 Cum autem fit 



fiue 



,xv-.:^ , _A_x_^_^_ _^L__j- etc. 



_l_y_i(X__xi._^__^_etc.) 



tum vero conftet efle 



1—^-^-4- ^* - -^ \- etc. — cof X ct 



1. 1 I. j. j. ♦ I. ... 6 



^ ^' -4 bl >l'_ -i- etc. = fin. X 



'• 2. J 



erit «''■^- ' =: cof X -h y — I fin. X. Eodemque modo 

 ^— XV-. _ coC X — y — I fin. X, vnde fit 



Af-'"'(cof.X; + y-ifin.X^) + A'^-'"*(cofXr-V-ifin.Xx}. 



§. 15. Ponamus nunc breuitatis gratia 

 A-f-A'=:C ct (A- A') V- I rnD eritquc 



A = (Ccof.X/^-Dfin.X;)^--™S 



quo 



