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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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terminatur procetiIs, prOpter = F
in magnitudine Dividenda.
Ouod Si, in magnicudine divi-
denda, decstet  T: Pt, conse
quenter, Relidua in imo tuisset  ,
uibi jam habeeur 00: ovus in infi-
nitum procederet.
Vel sic, univertaliter; Si divi
denda sit R = L, per R = F: Duo.
tiens erit P
L R
ecc. donee terminus ulrimus (c L L;
qui (propter - L in magnieudine
dividenda) Diritionem terminabit.
Vel, S ibidem decset = 7; R di-
rila Per R = T, Ouocientem extri.
beret procetturum in intinitum.
Acque hinc habebitur Summa
Proorectionis Geomerriea in intini-
tum continuanda; Duxe, (I sic progressio Decrescens, aequabitur finitxe magnitu-
dini. Dua de re alibi dictum elt, in Fractatu breri, cujus Synoptis habetur pro-
De calcem hujus Tractatus.
AK
Nam, polico termino matimo V = AP.  = =
VR
ABoregatum omnium est.
Similiter, per Colam Divisionem in Speciebus ibidem octenditur (cap. 20.)
aa  et
= a. + c.   = a a + ac. + ec. =  = ad + aac + acc + cec.
_c. Hoc CMt; Si disserentia Ouadratorum, Cuborum, aut consequentium pore.
statum dyorum expolitarum magnicudinum; dividatur per disterentiam illarum
expositarum magnicudinum; prodibit aggregatum coridem continue proportiona.
lium, (quoc lune in illis poreltatibus dimentiones) in ratione expolicarum illa
rum masnicudinum. Dummodo, inquam, (nam id intellectum rolo) potestates
illae sinc intesra poceltates, a numeris integris 2, 3, 4, 5, ec. denominandae; non
his intermediae, a Fractionibus denominanda, uc V a =V e, aut V a = V e,
Similetre. Ouippe, hoc casu Dirilio non terminanda foret
Idem evenirers. S caliii Poceltarum Ditterencia, modo dimentionum in eis
numerus sIt par; aue Pocestatum lum.
m2. modo dimensionum numetus LL  a = C) a= et (a, = aa C, = ac e, =8.
Impar; dividatur per expolicarum sum.
nam a f e. Cum hac lola diverlitate,
quod cermini in Ouorience signandie
at = a e
e
runt alterne, Tignis f de  Selpeloce etsitie
Obi icem manifestum clt, quod si
duarum poteltatum posterior decstet;
Ouociens in infinitum procederet. VI,
in exemplo jam extribico, si pro at
et proponeretur diridenda at; RC.
Cidua in imo (guae jam elt 00) Fo-
a
deriu
rec + A. IFI, procedence opere, Quoriens torer
aee
a= aac + acc = C + = + = f Rc. in intinicum.
  aa
ec
_c. c.
 ae R = AK:
ac
aae0 +
Cap. LXXXVTII. A L a F
Mulco maxis id Foret, 11, Po Lceca Guadratorum, cuborum, dec. diridenda
DrONOnCretuE carundem potestatum Summa, per illam expolitarum ditterentiam.
Puta; lin PrO at = et dividenda sic at f et per a = e. OuipPE MM, DEO 00,
haberetur in imO 2 et. OuorienIquE PIOdICI,