173 THEOR. CIRCJ DinSORES NFMER. tet. 



Annotatio. 26. * 



Sin aiitcm fiicrit N \el niimems imparitcr par , tcI nu- 

 mcru impar tbrmae ^n-i tiim illi formariim diuidcn- 

 tiiim rcdiidlio ad diiplo paiiciorcs non riicccdit. Scilicct 

 fi hoc ciifu fomiuLie aa — biblf fuerit ^NwH^a diuilb- 

 rum f )rma , tum ^Nm-\- (^N-a) talis non erit , hoc 

 ert : DuUus numcnis m fbrma 2(2/«-+- i ) N -4- « conteiv 

 tus crit diuilbr \lliiis numcri huiusmodi <?i7 — N^^. Toli- 

 to crgo oLZZtt j erit 



(2(2fl!;-l- I )N-42//) uznaa-^bb. 

 Vnde coulcqiiimiir lcqucns. 



CoiiJcciariiDn. 



Niilkis niimcrus in hac forma labc '\^- c-{-b contcntus. 

 \uc]ium potcll cflc quadrattis, fi qiiidcm fucrit a niimcrni 

 impar , et b numcrus tcu imparitcr par , lcu impar huiui 

 formae 4.«-!. 



Scholion 2- 



ITuiusmodi formulac magis fpccialcs , quac nunqiiam qna- 

 drata ficri qucant , inniimcrabilcs liipcrioribus dcduci pof 

 funt. Confidcrcnuis cnim prioriim fbrmam aa-\-Kbb ^ 

 fkque 4N;;;-|-A eiusmcxJi forniula , \t niiiliis numcrus iiv 

 ca contcntiib polfit cflc diuilbr formac aa-\'Kbb. lirit 

 crgo art-|-N^^rii(4N;//-T- A)tt , dciiotantc lux: figno 

 ::= aequationcm impollibilcm , cx quo oritur ^ <t ;-r: 4- N /// 

 u-T-Au-Kbb. Sit b — Ac fict aa --.^.Kniu -]- Au — 

 NAAff. Ponatiir porro U—NAcc-\~d, cntijuc aa 

 =:=^K>iAmcc-\-^Kfnd-{-Ad. Sit //— 4NN// cric 

 tia::z^i6\ '/////-H+NN Awff-h+NN A/i. Diuidatur 



la.Ltc 



