54 I)E SERIERFM 



ciiiiis radic£S finguliis inuenigari oportet. Erit autcm 

 m ^ e^ , ut lit log.uiihnius h^^f^crbolicus ipfuis m zn \ , 

 \t fit w/ — (-^ , idcoque c^ — e^ — o. Qiiia vcro fum-. 

 to n numcro infaiito eft t*" — ( i -h „- ; " ct /f'' =;(i4-^)", 

 Iiabcbitur iih acquiitio , cuiiLs radiccs funt inuclU- 

 gandae : 



(x + i)"-(i -i-n^^o, 



cuius quidtm llitim vni radix :^ - X ~ o conftnt , vndc 

 p.m integnihs obtinctur/ zz: a tf^' — am' oh e^ zz. m. 

 Reliquae radices funt imaginariac et contiiicntur in hoc 

 fadlore trinomio : 



(i_i-i-/-^(H-;:)(r^-^cof. 'i^-i-^n-:-)- 



cxiftcntc k numcro quocunquc intcgro : qiwe furma tranfit 

 iii hanc ; 



2H--^ -2^1-4- ^" Uof '"^-4-^^ 



, sz 3S/ , X. »--I,irrz 



-H -F - -^ ( I -f- n ) cof „ -f-„-yr 



Vcmm ob n numcrum infinitum cft cof '- ~ i-\„ . 

 Multiplicata crgo illa f<)rm:i pcr nn , crit fidor gencrahs 



— - n(«-f- X)(i -cof 'l'' )-\-X\-i-2fiz(i-co\: '^) 



— 2Xc cof '„"" -l-cJSzr.XX-l-^itfcTrTr + ^-T^ -2Xs-| c;^-, 

 ncglcdis teiminis euancfcentibus : quo rcfpccfhi etinni tcr- 

 minus * — ^^^omitti potcrt , ita vt faftor gcncralis fii : 



XX-4-4itit7r7r— aXz- 

 horuniquc faiftorum numcnis , fi pro k fucccflluc numcri 

 I , 2 , 3 , 4-, ctc. fublhtunnnir , trit n " Hncc nii' 

 tcm fbrma cum gcncrah in d/jjcrf^tjone iiica lom. J'll. 

 Mijcell.. indit:i,J[-zJzcoC (p+zz dibitJ—V ^'KK-i-.^kJcTri:) 



et 



