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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)
# Folio 195, page id 851708439:0219
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t
C.ap. L.
A L G F B R A.
Sumpio itaque f =3, (ut quae etiam est aliquota pars iptius F2.) 
Adeoque
Ideogue
2af =6a = - F2. a = 2.
aa. + 5se = 4. = +8 = 22. ut oportuiE.
Ergo Radis V: 22 = L2V2: = a + fV2 =2 =3V2.
Vet (prOpter 3 V 2 majus quam 2,) 3V 2 + 2.
3. Similiter, in V: 38+ TZY +0:
POTito VC =V FO. Sumptoque f =L.
FACt 2af = 2a = 12. a = 6.
Adeoque
aa. +f5C = a a = e = 36. + 20 = 46. Sect elté debuir, 38.
Sumptoque
f= 2.
FREt 2a5 = 4a = 12. a = 3.
Adeoque aa + ffe = 9 + 40 = 49. Adhuc nimium.
Onde Suspicandum videtur, Y 10, nec este V ay nec V es Sed porins Vac.
Adeoque Forman radicis esse a V a =fV e;
Iplumque quadratum d d a = ffe = 2 dfV ac.
Ergo ac = 10 = FXIO = 245.
(nec plures composiciones, in incegris, admittie numerus 10.)
Et
225 =+2. af = 6 = 2X6 =2X3.
Sed ay en non pottine ette 2, +0; quia V L non etet Curca.
Sunt er80 2, 5, DT V a = Y 2, d V0 =Y5.
Atque tum, Si d = F, adeoque f =6.
FOret, dda + ffe = 2 + 180 = 182. Sed cllet 36.
Si a =6, adeoque f = T.
Erit
Si
Eric
da a +55C = 72. + 5 = 77. Ouod. eet 36.
2 = 2. adeoque 5 = 3
ada + 5sC = 8 + 45 = 53. Justo majus.
Si denique C.  a == 3, adeoque f = 2.
Frit ada + 55e = 18 + 20 = 38. ut OpOrtuIE.
Freo, Radix aV a = VC =3Y2 =2Y5.
Acque ica post aliguoc rentamina, radixe hujutmodi Binomin (liqua sic) cetto
deregetur. Sin nulla talis compareat, traud limplieius res desienabicur, quam
per Radicem Oniversalem: Ut V: 2 F V 2
Sed aliam habet Ousheredus mechodum (Clavis Cap. 16. P. FT. ) pro eflra
hienda radice Binomii Quactiaci. Dux maxis Arciticialis est, quia directe pro,
Cedit, _C nON PeT VIAL TCMLAMIMIS.
Sed haec non roro expedicior: Nec plane rejicienda, quali illegicima, quia pet
modum Tenraminis; Duoniam, in operationibus Reloluciris, perpetuo, adnuii
solet hujusmodi methodus. Ve, in excratendis Radicibus (quadratica, cubica, _c.)
iolaque Divitione: Obi lingula membra Ouociencis, Tencando investisanle:
Et maxis adhuc in, Afectarum Aiquarionum, Resolutione numerola. Ouippe
in his omnibus (aliisque paltim operationibus) tentando exploramuis, quis NH-
merus admiuni postic, aut non postic: Acque, si numerus tentatus, reperiacus justo
major, minorem tencamus; s julto minor, majorem: Donec, tactis rencaminibus,
Onehiredi mechodus (ut ance declararum est suo loco) est hujusmodi: leni
de jucto constet.
Cum Radicis Binomix (sub qua et Relidualem intellectam volo) AY F,
Ouadratum sC Ag. F F g F Z AE, hoc cst Z F 2 A: Binomit Ouadrati, majus
nomen  L = A 9. + P. g summa Cuactiacerum; ec minuo nomen 2. A, dui
pium Rectangali; iptarum A, L.
3b
Cungue