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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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E C E B R A. Cap. LXXX
tories (in partibus decimalibus) in intinitum; (quod pariter incellisendum est de
parcibus Sexascinalibus, aliare lracctonum, in quacunque proportione, concinua
progreltione.) Idem in Speciebus expectandum cst, quo calu Dirilor non sic in-
Htar Partis Aliquocx; nimirum, vel terminanda exit Fractione, (quod uc ibidem
ostenlum est, vars TOrmIS delIOMaML Poterit:) vel in infinitum procedet.
cujus est extrahenda RadiX, nOn CIL TUI BCHCMIS FIUTaLS; (hoc est non Ouadra-
extrahienda; c dealuslimuliter.) Duo calut ioremus rel procettum terminare Fra-
ctione aligua (quae a vero ratore non multum recedit;) vel operationem conti-
nuare (in intIMILU PTOCCHUTAM) quousque ridebitur expedire; ut habeamus va-
Arichmericis suls) ducuns doclleture, M Paltibus Decmalibus perasendum, (quos
rata.
Idemqu continset in Extractione Radicum, IIL NmerIS; quo calu Numerus
tus, cum exrratenda est Pacta Cuautalica; au NOn Cubus, cum Cubica radix elt
Iorem quam LibIIETIEVeTO pTOPinGUUMI. Scod AcbdranS Duclaeus, Ramus, (in
RCCENLIOTES BIUFII SCCUTI LUINC;) aliique in PatHBUS SCFaSCtunasIBUS; qui ejul.
dem nacura procestis est, sed magis perplexus. ec alslet espectandum et
in Speciebus, o  Specte Ga Co Bedere Figu.
Porro: Lieut in tali processi infinito seu incerminato, per partes Decimales aut
mae, ecc. ec scrupuli Primi, Sccundi, Peccus el. Lane lereta, omn Kacces
Ouadrata, Cubi, ecc. pro radice, 3, aut 5, Simitire. Ruc Onitas dirisa per ejulmodi
Lalctous Duadrata, Cubos, ecc. pre clance esdez edt e e spoclebus; Porca
Sexasclimales, aut in alia progrectione vorttas; Palles ecuna, Cemlera, Mille.
Radlice a vel ; procettus pariter , eec abura ueo, Guarune
Denominatores Cint, an itos au cel. A  at HL. VetBL Gracia,
aet aaa
Ouae jam diei caeperune Insinila Deries.
P.
XXXVIII
+
Fxempla Serierum à Didgut Scandari
libe
P
ni
M.
Ejusmodi Serierum Intinicarum, a Diritione oriundarum, aliquot Speci.
mina dudum exhibus u Pere Aruhmerico (anno 1657 Cdico) Cap. 33.
Verbi oratia: Sic exo Regulaut pro invenienda Summa Cicometriex Progrestio.
Ih CDoticis A pro cermino minimo; R pro com.
muni Mulciplicatore, seu F. Puctie Racionis communis; L pro numero termino.
L3 F Ly f2
rum; ee S pro Lumma Omnium;)
Demonstro; sola divitione ipsius
E = F DEE R = E: Obi, prO
Ouoriente, extribetur tota ProBret.
Ro, inverlo ordinc.
VEputa; Si numerus termino.
rum (E4; R. - 2 dirila Per R -- +.
exhibet duocientem R -R f R
LC: Oux elt tota progretio, FI
suppOnatI 2 == T.
Vel etiam.
di  Sc alia quancitas, illae in A
ducta sunc cora progrestio; nimi-
rum AR + AR + AR F 1. Ouo
termi-
R -.