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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 192, page id 851708439:0216
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Cap. Xt L.
L G F B R A.
aa   30a = = 2666.
a a a = 366a =  2666.
Cumque jam ostenderim; (partim ex Tlarrioso, partim ex eis quae nos adeidi-
mus) quomodo aequationes lae Cubicx Afectae, ad Cubicas simplices reduci pot-
snc; sive sc b minor, Cire aequalis, sive major quam c:
Sufficiane haec ad pertectam Solutionem aquarionum omnium Cubicarum;
Taltem quoad Radicum Onam.
Cum vero A quationes Cuhieae, omnino Fres radices habeant: Ouanam sunt
illae Dux reliquae, proxime dicendum cst.
22 20, LlX
De reliquis Raca s Guas Cubicae.
e Aiguarioms Cubiex Radices, omnino tres tunt (aut Reales aut sa-
tem Imasinarix) quarum unam jam investioarimus: FTujus ope, haben-
eue Dux religux. Nimirum; Diridendo expoticam Cubicam, per L.a
teralem jam invencam; unde proditir Guadratiea aequatio, qua dux reliquae con-
cinencur Radices.
Verbi Bracia: In Aquatione modo expolica.
rer - 63r = 162. HIOC est prr = 63r - +62 =0.
Si hanc per jam invencam r = 9, hoc est r = 9 = o, dividamus; prodibie Oua.
dratiea rr + or +18 =0.
r - 9) rer = 63r = 262 (rr, + 9r, + 18, =0.
per-
L opr - 63
= Orr =BFr
= 18r- 162
18p = 162
00 00
Cujus aequationis quadrarieae, binae sunt Radices Negatira,
iiss
or 3 L. 5. Hoc sst r = - 3,  r = - 6.
Et in illa aliera,
ad a =  a = 6. HOc est, a aa = 7 a - 6 -0.
Si haec per jam inventam a = 3; hoc est a - 3 =0 diridatur:
Prodihit aa + 3a F 2 =0.
Cujus Radices; a = = +, a =
oSi aurem, in his, pro = 262, _ = 6, POnerentE = 162, e L 6: Onde
pro radicibus f 9, e F 3, prodirent - 9 et - 3. Tum (facta diritione)
prodirent Ouadratiea,
 a vr = or + 28 =0.
Px radices Astirmaeire; r = + 3, 1. = + 6. 8 a = = 1, a = + 2.
ee a a = 3a + 2 =0