DETERMINATIONE, f^ 



y^P-^(^A;-h(^-f-w./«*R , fiet 



ideoque P -i- Q^~ a-\-m?,et Qjzz b-{~mQ_, vnde inuenitur 

 Q_=r :=zi ct Pi=: (^^ — ^lr^ , ita vt fit terminus gerfe- 

 ralis vt ante eft inuentus ; 



Sin autem tn—i , ftutim patet aequationis {u~i)*[u-m)—o , 

 tres facflores fore aequales , fierique (u-i[zzzo ^ vnde fit 

 terminus generalis j—?-\- Qx -^Rxx ^ et propterea : 

 f—?-hQx-\-Kxx:^?-{-Qx-^Kxx 

 ■\-Q^2Kx a-i-bx 



+K 

 Ergo prodit : K~\b etQjzza—llf , ita vt fit terminus 

 generalis j — ?'+-[a — lb)x-{-llfXXi vt ante. Simili 

 inodo apparet , fi lex progreffionis in genere fit : 



j^zx-^-ay-h^s^y^y^^y-hS^y-^- etc. 



atque X fit fundio ipfius x rationalis integra * veluti 

 Xzz:a-hi>x-{-(^xx-\-dx^ -\- etc. per continuam fub- 

 tradlionem tandem perueniri ad legem , qua finguli ter- 

 mini per folos antecedentes determinentur \ ficque feriem 

 fcmper fore recurrentem , cuius terminus generalis per prae- 

 ccpta ante data definiri queat. Hic autem terminus ni- 

 mis kte patebit ; hancque ob rem quaerendis valoribus ter- 

 minorum y , ^y ^ ^'y etc. ad legem propofitam acconu» 

 modari debebit , quo padlo tot (emper fuudiones P , Q^, R , 

 etc. dctcrminabuntur , quot litterae « , h . c ^ // -, etc. 

 fuerint per fubtradionera eliminatae. Cum igitur h^us- 



modi 



