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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. L. XII.
A L G F B R A.
88. Idem raler in Aquatione Cubica (5 32.) ex cujus radicibus tribus, non-
nisi una est ucilis.
Sumpto enim (per S 4 F) a a = 6. 378, 220, 897, 24;
Tum cst (Per 532) 16a = a = 17b - b
THOc est (per 5 42) 24. 299, 937,70F, 382, = 27b = b.
Cujus aequationis cubica racicem unam jam invenimus (5 46;) candem ni-
mirum quam (SBF) invenimus per aequationem quadraticam, b =2. 969, 152,
768,6. Sed religua sune inutiles.
80. Nam hujus, ope (ne opus sit radices reliquas simili refolutione cubiex
aquationis exquirere) cubica ad quacracicam deprimetur: Nimirum,
B - 2.969, 152,768,6):
1B. = 27B = 24. 299, 937,704,382, =0 (3
5 (bB + 2.969, 252, 768,620, b -8. 184, 137, 836,597, =0.
PuIa, Bb + Cb. -
D
0.
∞. Hujusque emergentis aequationis quadracieae, dux sunt radices; astirmacira
altera, altera negativa.
Nimirum, B = - =C F V: ZC.9. F D:
FOc est, B = - 2. 484576, 384, 310, = 3. 223,057,380,415.
HHoc est, B = = 2. 738, 480,996, 105. P.t B = - 4,707,633, 764, 725.
Or. Farum priorem, qua est attirmacira, jam expendimus 5 44, ee invenimus
inutilem.
Ouoniam posito a a =- 6. 378, 22.2;
Adeoque BC (= 16 - a4) = 9, 621,779:
Si TIL B = 2. 738,48T;
Fric c =
9.622,170, = 5.534,59; 8t 00 = 30.631, 68.
2. 738, 481,
Ouod Fieri non Bocelt; modo a et b (adeoque ab) sint Bolitiri; PrOPter
66 (== 18 -- a b) minorem quam. 18.
Sed neque tieri porest (manemre b attirmatiro) eiamli loret a nexacirus; puca
= - 2.525,514.
Ouippe cum,
B:
F ab =
66 F ab (= 18) =,26. 24. F, T2.
3. Farundem posterior, quae negacira est, exhiberet b negatirum; nempe
= = 4. 707,633,769,955. Adeoque
26 = aa = 9. 621, 179, 102, 760, = Bc
4. 707,633,769,055, = 
Sed, ex caleuto, reperietur inurilis. Ouippe tum,
aa = 6. 378, 220, 897, 24
BC- 9. 62 +,7799102,76
aa F bc =16.
Acque hactenus recte. Sed tertium membrum Fallit. Nempe
65 = + 4. 177,393,879, 2.3
ab == = 11. 889, 194, 917, 28
66 F ab (= 18) = - 7. 7L1,8O2,038,095
C6 = 30. 637,68
4. 390,56
F = L. d431001 3366, 714, =c.
= 22, 161, 825,662,7
a6 = - 5. 162, 615, 662
6b  at = 17.
93. Similiter