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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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quC de
de rale
Ouist
AII
101
De
A9
Cap. XL.
II. Aquationis hujus Forma,
Radices Tunt B, _C6, = a
Nam substicuta utraris pro an habebitur,
BB = bb
= b0 = - bc
bum = b6.
auE C6 - 0b
c0 = - b6.
HOC Cst bB - bC = b6 - BC. AUE CC -BC =C5 - BC.
Obi aequatio est manifesta.
Sed non alia quaeris, puta d: quia
cum, potico a pro an prodibie
dd - bd
=cd = - bc.
HIoe est, d d = c d = b d -- B6. Aut a d - B d = c d - BC.
HOc Cst d = c = d = c AVE d --b = a - B
in d. in b.
in d. In c.
Adeoque a = b: aut d = c. Non ab iptis radix direrta.
TII. In hac Forma Radlix
Castirmatira) est d = a.
aaa = ba a = bca = = bc d.
Fcaa -- b d a
aaa  cda
Nam (posiro ubiris d Proa) ad a + ba d + b0d = + vcd.
prodibit
Cad - bad
add-c dd
HToc est (deletis quae Ei mutuo destruunt) b6d = bc d.
Sed non rel b, vel c, Ouippetum
bbb + b0B + BcB = + Bca. ccc + B00 + BCc = = BCd.
= cbB = bab
= abb = cab
= c66 = bdc
d6c - cd6
HOc ett 2bbB + 2c30 =2 abb +2bc4. 2005. + 2b50 = 200 a + 2.bc d.
Hoc est 2bb + 2.b. c = 2 bb + 2.bc. 20c + 2bc =200 + 2. Bc
in
in
in
Adeoque b = d. EF C = d. Non radix diver (a.
in
Sed nec alia quaeris; pucae eec + Bec + bcC = BCd.
Ouippecum
+6CC = bde
dec -cde
Hoc ot, cec + bec +0ec + b00 = eed + be d + cea + Bcd.
HHoc est, ec fbc. +6e + b0 = ec + bc Fcc = bc.
in
3
Adeoque e = a: non radix direrta.
IV. In hac Forma,
aaa Fbaa =- bCa = = = bcd.
Caa = bda
daa +cda
A E G E B R A.
dd-ba
Radices Cunt c e a. Onippe, Dolita utraris pro a, ex deletis quae le mutuo deltru-
une, aqualitas est manitecta.
ecC