-S4^ ) 70 ( ^9^<' 



teftatis « ex vnitatc, it.i vt i — |- fit faifVor formulae 

 I— a", cuidcns ell , eiim etiam forc facflorem formnla- 

 rum I — -v' ■*, I — .v' ", I— A-'", etc. in infinitum. Qiiare, 

 cum hae formulae omnes fint facHorcs noftrae progrcUionis 



1 — .V - -v X -\- -v' -H .v' — .v" — ctc. 



eadem radix a in hac acquatione non tantum fcmd fed 

 adco infinitics occurrit. ita vt ifta acquatio infinitas ha- 

 bcat radiccs ipfi a. acquales. 



§. 24. Nouimus autcm cx natura acquationum , 

 fx acquatio quaccunquc 



I 4- A .V H- B X X -H C .v' -\- D .v* -f- ctc. — o, 

 habcat duas radices aequales a, tum etiam a fore radi- 

 cem aequationis pcr dilfcrcntiationcm natae, lcihcct: 



A -f- 2 R .V -j- 3 C .v .V -\- 4 D .1" -f- ctc. = o , 



ac fi habcat trcs nidiccs acqualcs a, tiim infupcr a quo- 

 quc erit radix ifiius acquationis pcr ditfcicntiHtioncm na- 

 tae , poftquam fcilicct illam acquationtm difftrcntialcm 

 pcr .V multiplicauerimus 



I'. A -i- 2'. B A- -H 3=. C .V .V -1- 4'. D a' -h etc. 1= o , 

 vndc fi h.RC acquatio habucrit X radiccs acqualcs, quae 

 fjngulae fint — a, lempcr crit 



i\ A -+- 2\ Ba -h 3\ Caa-I- 4^ Da'-Hctc. — o , 

 vndc fi vniformitatis gratia hanc ncquationcm per a. mul- 

 tiplicemus, crit quoouc 



i\ Aa-h 2\ Ba'-h 3^ Qo.'-\- 4\Da'-h ctc. =z o. 



§. 25. Cum iqitur pofito al^ zz. \ nollra aequatio 

 tx numcris pcntagonahbus formaiA 



I — 



