PROBLEMATIS GEOMETRICL J57 



quae feries ipfi 



|±? fin. w= J-^ (2 0) - _;^^ w' H- ^-^^ o/ - etc.) t 

 acqualis eft (hitiicnda , (cilicct huic expreflioiu 



vnde fequentcs determinationes colliguntur : 

 2*aB=:(a-i-2)B-i-,-~ 

 2*aC-(a-f-4)C4-^-^,^^-h ^, 

 £''aD=::(a-i-<J)D-t-'^--*--^4-^^-^4- -^?-^ 

 etc. 



25. Hinc crgo fine dubio coefficicntes B , C, 

 D etc. definire licet , at ne \llum dubium luperfit, 

 an hoc modo pro y valores reales obtineri queant , 

 notandum eft binos \alores idoneos pro y inuentos 

 fcmper inter (e coniungi pofll-. Hoc obferuato po- 

 namus ex \alore arr: jji. 4- vV — i prodiifle j— : P, 

 ex vaiore autem a:^{ji. — vV— i fierij^^Q, quae 

 biflae expreflioues vtcunque fucrint imaginariae cer* 

 tum e(l ex iis rcaicm huiusmodi j' rr »; P -h « Q 

 conflari pofle y idque dupiici modo. Atque ex forma 

 afllimta quidem airjA.4-vy — i feries pro j ita 

 frunt coroparatae : 



j-w^^cof.Cv/w). (A + Ew'-f C(o*+Dw*+ etc. > Tel 

 j:iai^flii.(v/a)). ($H S5 w -f €(0*+ ^w'+ etc. ) 



V 3 quarum 



