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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 193, page id 851708439:0217
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et
traber
cot
A L G F B R A.
Capt. LL.IL.
Similiter Faciendum M els alletto,  Guibus non occurrit (in prima radi-
quisitione vicatur, occutet in sccunda Ouactracum Nexatirum. EL emergentis
Ouadrarieae Radices erunc Imasinaria.
DE in illa aaa = 6a = 40 = 0. auE rrY = 6r = 40 = 0.
Ouam si dividamus, per r = (2. + Y2, + 2 - Y2, = ) 4 auc r - 4. = 0.
Prodibit rr + 4r + 10 =0.
r - 4) rrr = 6r - 40 (rr, + 4r, + 10, =0.
prr = 4Y
EE Sic quidem continget, in casibus omnibus Capitis praecedentis, in ouibus
Radix videbatur nexplicabilis, propter Ouadratum Negatirum. Ouippe in Bi
omnibus, radices BX alla temper lune Reales
eis inreltisatione) quadracum illud esacirum. Sed cum, quod in prima in-
A pY - 6
+rr = 261
COY-
7Or - 40
O0 O0
Cujus Ouacratiea Impolsibilis, Radices (Tmaginariae) Negatira, sunt
Sic in illa altera,
-6. r = - 2 - V - 6.
rer L or = 270 =0.
Onam si diricamus Der r = (V 22. = 3 minus V +2 - 3 =) 6. Feu r = 6 = 0.
Prodibit rr + 6r + 45 =0.
r - 6) rrr. + or = 270 (rr, f 6r, + 45, =4
rrp - 6rp
+. 617 + 9+
e 50
45p.
J
431 2. 7C
D0
60
r = - 3 + Y = 30. ∞ r = - 3 - Y - 36. Yct - 3 +6Y - +
Idemque continset in aliis ejuldem Forma omnibus.
Idem accidit in Cubicis aequationibus Simplicibus. Nam et hae habent Fres
Radices; ut simplex Ouadrarica, duas.
Puta
Si itague
Quacratica
rrr = 8. Cujus radix r = 2.
rrr = 8 =0, per r - 2 =0, dirictamus; prodibie impostibilis
rr + 2r + 4. =0.
r - 2) rrr = 8 =0 (rr, + 2r, + 4 = 0
1
=2 pr
Cujus Imaginariae radices negatirae, sunt
e0d
Cujus imaginarix radices negatirae, sunt.
6 = 2 +. Y=3. ab p-
Idemque