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# Title: [Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis (shelfmarks Leibn. Marg. 100:1/2, Stück 2; Leibn. Marg. 100:1/2)
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Cap. XCV.
A L G F B R A.
Prob. L. Jy = p; qui valores in Resolvenda proy de y substicuri dane Retolven.
dam novam 3. a p. + pp = 3 2 B + a 2 = 0 uibi p et p rices Tubeune iplarum y ec y.
Terminus unicus in quo nec p neque p reperitur est d 2, qui cum cermino L ~, colla-
tS dac a. = r. Ferminis reliquis 2 d p, p p ec - 2 Z p Done I ZV pe p aequalem
succestire; et inde in primo casu habebis N =0, a = L eB =0; in lccundo
p. = 0, a = 2, _B = 0; _ in certio p. = 2, 4. = 0, _ B = +. Ft hinc 2 = 1 + C
c. + e
eradit in primo catu r, in lecundo :, in cerrio o. Unde r est F, _ a 2 ev a = = F
sune a Z ee a. Fermini duo ultimi a Z de a in Retolvenda pro p e p respectire
seripei, produeunt 2. d a Z + a 23 = a23 + d L. Ec termini 2 d a Z ec d 2 in qui-
busindex dignicaris Z est n seu x, polici aequales nihilo, dant a = - 3. Onde
a 2 cerminus primus Sexiei p fic - 5 2.
OPERATIO PERTIA
Prorerminis reliquis nondum inventis pone q ee habebis aequationem p = - 32 +9,
e inde (per Prob. F.) p = = = F q: qui valores pro p et p inRelolvenda novissi-
ma substicuri producune Resolvendam novam 2dg - 29 + 99 322 - 22g = 0.
Obi qeeq vices supplent iptorum y ec y. Ferminus unieus in quo neque gnec q
reperitur est 3Z2, qui cu kZ collacus dat a = 2. Terminis reliquis 2dg, - 29.
Fg9 - Z 2 gpone 12V g q aqualem succeltire; dt inde in primo cati tabe
bis p =0, a = 2, _B = O: in secundo, H = L, a = F, B = O; In CexTIO, ( = 9
a = 2, B = 0; in quario 1. = 2, a = 0, B = +: et inde
=p +
a. + 
B eradic in primo
casu 2, in secundo tertio _E quarIO F. Echiner est 2, vel a 2 _ v a Z = F sunt
a2 _ 2 a Z: qui valores in Resolvenda pro q de q substicur danc 2 d a 22 = a2
F aa 22 +32 Z = 2 a2; ee termini 2 d a 2 2 f Z Z 2) in quibus index dignitatis Z
esta seu 2, posici aequales nihilo; dane a = = 3. Unde a 2 rerminus primus
Scriei q eradie-
OPERATIO OVARFA
ve
Pro religuis Seriei terminis nondum inventis poner, de habebois aequationes
F 2r
8 Lr, 8g = - =, + r; e inde Retolrendam noram 2. ar Y 8
22 322Y + rr = 2 ZI = 0; e ex ea per Mechodum superiorem
64. d d
3
habebis - 2 = cerminum prinuina Serieii r. l Er sie pergitur in infinicum. C
T6a
Est ixicur radix extratenda y = d L p = a L 3 2 + g = d - : 2 -3
= a - 3 2 -3
923
8d 16da
2
8 d
+r
=etc. Ec operationem concinvando procucere li
cet radicem ad cerminos plures. L s los is uinslestes
Ddd 2