130 DE METHODJ DIOVHANTEAE ANALOGA 



Fiat primo: 



fxd? r=: M et fxdp — N, 



dM dN ji-rfP d^i . dr 



entqiie .v =r ^-^ =: ^ , vnde tic ^p = ^ , et qiiia jj 

 ei\ fandio ipfius p, inde valor ipfius p enii deLet, quo 

 inucQto hibebitur a" =: 57 , feu x zz: j~- , ac deinceps 

 y — px — N: qui viilores praebebunt /Z dx ~ P .v — M. 

 Pro altera folutione ponatur: 



fxd? nr. M,, vt Cit X — jf, ttfxdp—f^j^. dM 

 = M. s^ -fMd. fp. lam ponatur /M^-Jf- — R fun- 

 ftioni ipfius p cuicunque , ac reperietur M — ^R : d.j^y 

 quo valore ipfius M inuento, prodibit porro : 



vnde fit/Zrf.vi=PA;-M. 



Vel ponatur fxdpz=:N,et ob .v — j^, fiet/v^P — 

 rr fd N. ^J- rz: N.^f| -/N ^. g. ^ Sit /N ^. g = S 

 erit N = ^S: d.jj\ hincque x =: jj et j — p x-N 

 cx quibus efBcitur /Z </a' 1= P a: — jj- -i- S. ' 



COROLLARIVM. 



68. Simili modo folutio exhiberi poterit, fi duao 

 pkiresue huiusmodi formul.ie /2 «'.v proponanuir , qui- 

 bus valores algebraici conciiiari debeant, Pofito enim 

 dj~pdx, praeter hanc formulam /p <3?.v, duae plti- 

 resue huiusmodi fVdx, fQ_dx, etc. vbi P et Q. etc. 

 fint funcliones iplius p, integrabiies enint efiiciendae, quod 

 per mcthodos fiipra tradiras fticiie praeltatiir. 



SCHO. 



