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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 249, page id 851708439:0273
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p
stmi
2M1
Cap. L. XI.
L L. C l 1 a as
26. Poticoque (quo tollantur Fractiones) e = 2 a; prodibit
2 - 9100 + 33110 - 631 et + 66 P et - 361 e + 8Y =c
mn + olmn = 281Imn + 36B mn = +6 A m
m + 4Vm - 4IVm = 8IIm n
n + 4Vn - 4 Vln
 2 M n = 8I m n
27 Flabet haec aequatio omnino sex radices planas, cocidem valores et exhiben-
tes, (quod patet CX e, sexta porestate radicis e:) quorum lalrem unus aliquis
lnon et plures) praesenci inserriet occationi. Porelt autem in duas aequationes
Resolri, s per c = 4 Lec + 4 I =0 dividatur. Cujus procestus sequitur.
Aquatio Diridenda.
) = 91eo = 33110 = 63P e +66 H et - 36Bc + 81 = 0 (4
Diridens.
Mn + dIMn = 28IYmn + 36BM n = 16H Mn
m = 4Im = 4IIm + 8IIm n
n
+ 4In = 4IIN
 2 m n = 8lm n
Orcira.
et = 4VC + 41V = 0. 9 et - 51e + 9I1 et - 7B e + 2 =0
mn +5Imn - 4VImn
M  2. M n
Dividens. Diridenda
c = 4 15 + 4 12) et = 91 e + 33710 8c.
Ortira.
F ed
Mn
(Ablac. e2 = 4. le = 410
Rctid. - 510 = 2911e - 63b  8c.
Mn  9Imn
=5tC ABIaL. 520 = 20 = 20V C
Relid.
mn. = olmn. 28IMm
= OItC = 43BCs +661 e _c.
+
M  qb M
+ 4.In
n n
P c + 361 c
4. L M n = 4 Umn
= 30 B e = 36 Be _
5Imn = 24 Unin = 36Pmn
4Vm qumi
4.LN = 4. Im
2 m n = 8 Im n
281 c - 28Bc
20 lmn + 20 Pmn
4.lM
4. UM
I
2V ∞ = 8B 8 = 81
4Umn. = 26BnM - 26 VMI
2V et = 8B e - 8t
4. Amn + 261  T6Mn
2 m n = 8 Im 11 F omn
2mn= 8 m n + 8mn
243
dirt