==^ (38) == 



§. 21. Scpofito iam prinio Hidore (111.4-. ''^ rcliquis, 

 quoriim lumiciiis ell n — i, idcm \lii venit , qiuKi ;iiuc , \t 

 fcilicet illi fucftorcs ab cxtrcmis ncquidilbuucs in \num contra- 

 lii queant. Cum cnim \ltimus fiictor fit cof. ^ - " — ' ? , c)b augu- 



]um l^TillI — 2 ? — - ^ ^ cius cofinus crit — — 001".'-% ira vt 



ilte facflor fit cof. Cj) -h cof. *% qui crgo pcr prinuuu nuiltipii- 



c:'.rus dat productum cof. 0' — rcol". "-^/ , Siniiii modo fa<ftorcs 



fccundus et penultimus contrabcntur in boc productum: cof. (J)' 

 — (co(. ^;*, hocquc nu^do fadorum numcrus ad dimidium 



rcuocabitur, fiquidem « — i fucrit numcrus par, ideoquc « 

 impar ; cafibus autem, quibus ;/ — i c(l mpar, idcoquc « 

 par, inluper acccdct factor mcdius, qui fcniper ell cof. Cp; 

 vnde boc produiftum ita fc babebit: 



f.n. ;; (p — 2" - ' fin. (|) [cof Cp^- — (cof ^J/] [cof. p — fcof l?/]x 



X [cof (J)^- — cof y/j [cof. Cp"- - cof. «^yj etc. 



§. 12. Supra autem vidimus cffe 

 cof (^* — cof. \|/' =: [ cof 2 (t) _ ; cof. 2 \|^ , 

 quac formula dciuio rcfoluitur in bos duos fac^orcs : 



fm. (4)-f-v^;fin. (\|y — (p), 



flcquc boc modo onuuum fKftorum numcrus crir ;/ — i. llac 

 igitur refolutionc adbibita rcperictiir : 



fin. « (p — 2" - ' fin. fin. (\^ -h Cp) fin. (\^ — (^) fin. ('-^? -»- 0) x 

 X fin. (*-^ — CP^ fin. : \; -»- (p; fin. C^ — <^) etc. 



fi modo obrcrucfur cafibiis, qiiibu-. ;/ efl numcru> par, adiun- 

 gcndum clfc factorcm cof. cp. 



§• 23. 



