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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. XI.
L L G F. B R A
AP. LXI.
Idem alias explicatum.
Ladem solucio, rem ipsam quod spectat, in Forma ordinaria sIC ExpOnatK.
FOHS B M 13 P 26, 27, 18. Potoque processu in Sectiones Partico,
 quo melius citentur. Ex altumpta Pethi noca Diritionis, -:, ut vicentur
aliquories linea duplices, quae in diritione ad tractionis formam exposita Fy-
Pochetas Turbant.
(aa = bc = 1)
Politis Lbb F ac = m  Ouaeruntur numeri a, b,6.
5c + ab = n
e
Y. Ouoniam aa = BC = I: ErBO BC =I = aA; EF C (= BC -: B) = 1 = aa:
: b. Lt c6 = 1 = 21aa + at: -. bb.
2. Ouoniam c5 = ab =n: FrBO 56 = n = a b.
A9eo que l eyb.
nbD - ab: -- 60.
4. FL PrOpterea II - 2la a. + at = n bB - ab.
5. FF nbb - I1 + 21aa - a = ab. EC nbb - 11 + 2la a - a: a b.
bb.
6. Sed BB = ac = m. Adeoque BB = m = ac.
7. Fr30 nbB -1I + 2laa = a: : ab, = m = a6.
8. Scd (per 52) c = 1 - aa: -: B. Adeoque ac = la - a : : b. PL m - ac
=m -: Ia = a: -: v. = m b- 1a + a:  b. = m a b - 1a a + at: -. a b.
9. FrGO nB -11 + 21a a = at: =: a b, (= m - ac) = m a b - 1 a a + at:
 ab. EL nb -11 + 2l a a -, a = m a b - 1aa + a.
20. HoC CA, nV = m ab. = 2 a - 3laa + 11. Seu b. -ma 9. - 24 - 3 laa t 1
TF. Cujus Aquacionis, Racix attirmaciva, est
b = V.
mmaa p 3. a = 31 a a + 11.
4nn
ma
-
2n
ma. =V: 8n a = +21n a a F m m a a. + 4. IIn: 
(Sed ee radicem habet Negatiram, ma =V: _cc. quam suo loco contiderabimus.)
22. Flujusque quadratum bb =
8n a = 12I n a a = 2m aa + 4 VIn, +. 2 m a v: 8n a  12I n a a = m aa + 4 IIN:
4.Bn
2Ina = 2n a
13. LC a6
Ma  V: 8n a = T2In a a + mmaa + 4ln:
24. Sed (horum duorum axgresatum) BB = ac = M. ErSO
(dmae = 2naa t 2mmaa F 4 IIM, + 2mavs: 8 nae -12 maat mnua F. 41:
2Ina = 2n a a a
Ma + V: 8n a = 22ln a a + m m a a + 4VIN:
DluS:
mo = 2
15. CbC