124- METH. FACII.. ATQFE EXPEDIT. lATECR. 



cft niimcriis pnr •, hi avitcni cnfiis pcr fc funt noti , atquc 

 in fcqiicnti inuclliguionc dcnuo cKcurrcnt. 



§26. Non igitur fit — o , atquc ncquatio poftc- 

 rior dabit fin. A . ;;Cpz:io : cx quo pofitii lcmipcriphcri.i 

 circuli — 7T , cxillcnte r.idio ~ i ^ crit «CP rz: multiplo 

 cuicunquc Icmipcripiicriac t:, quod fit fcT: , hincquc Cj)— 

 ~. Hinc autcm fiet cof. A « Cj) — cof A /k tt nz H^ i : 

 crit ncmpc cof A . w cp — -4- i , fi k fucrit numcrus par , 

 ct cof A./j4^~— 1 fi k fiicrit numcru> impar. Sub- 

 ftituto hoc valore in priori acquiuiouc habcbimus a -4- (5 

 _/"" — o. Ilinc duos caiiis cuolui cnnucnict , prout a ct (3 

 fint cjiiantitatcs vcl iis<.1cm fignis vcl diucrfis atVccftac. Sinc 

 primo iisdcm fignis affcctac 



a M- p.v" 

 atquc fumatur k numcnis impar , ifc— i , vt fit Cj) rr 

 ^—^ ct cof A.wCp — — I , crit a-p/''—^ ct /— 

 f l -y f- ; yndc p - f a.' Qt q == -^ (i' 



Fotmac igitur propofitac a -\- (3 .v" habcbimus hunc fa- 

 clorcm trinomialcm gcncralcm : 



>^ a* - 2.v-i^ a g . cof A . ^^-^ -\- .v.v f/ (3' 



Atquc hinc tot fidorcs diucrfi rcliiltabunt , quot loco k 

 nuincris intcgris fubfiitucndis diucrfi valorcs pro cof A . 

 ^- ~''^ oruintur. Qiiod fi autcm Icko k (iicccfiiuc omncs 

 numcros intcgros 1,2,3,....;; fubfiituamus, tum 

 quilibct fiftor trinomialis bis occurrct , fi » (iicrit luimc- 

 nis par , fin autcm ;/ fucrit numcrus impar , tnni iu mc- 

 dio folitarius f.\CtoT rclinijuctur, pofito 2fc— ii-"i;;,hoc- 

 c]uc cafu fit cuf A . 7T ~ — I j ct cx hoc fnflor fim- 



plcx 



