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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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I G F. B R A.
CdD. LL.
Estque hocitem, interres ab eo subriliter detectas, non levis momenti. Ouipve
jam ance censebatur (eratque a pluribus Algehristis aperre pronunciatum,) quod
quocies (in Analyseos procellii) ad Constructionem Impolsibilem pervencum cst
(qualis censebatur Radix quactratica quancicaris Negatira,) indicio id Cset, pro.
volitum illum Casum esse impossibilem. Cujus concrarium hic patet.
Verbi gracia. A quario hac au a -7a =. 6.
hane haberet radicem,
a = YC. 3 = Y - 23. = VC. 3 = Y - 10.
qui habicus est pro exsu impostibili.
Elabet tamen radicem realem altirmatiram, a = + 3. Praetex duas icem Nesati.
radu a
Ec quidem, si numeri absoluri sienum muremus, (qui solus est terminusu l0c0
Paris non vacuus;)
Aquario aaa - 7 a = - 6.
duas habebit AHirmacivas a = F 2, a = = 2; DEXtex Negativam a = = 3
Fe similicer alix ejuldem Forma, sic conditionata,
aa a -- 3bb a = - = cCC.
Dui catus cst, Frempli IV, Sectionis quinta.
Non ilaque tam dexloraius est hic easus, quam olim trabicus est (etiam ab ipto
Carcesio.) Et, quomodo ejus exquirendae lunt radices; Intia docetitur (uo l0c0.
Incerim; haec alia, A.quationum prius expositarum, Fexempla in numeris extri
bec Tlarriotus; in quibus Radices Cubiex, extrahendae, tunc Binomix.
12. = = 5a f d 8a. a = 5 + VC: 26 + V675: = 2. + V3. 2 =
e4
 + YC: 26 - 1675: =2 - V3. 5 +
270 = = du a a a. a = 5 + YC: 118252. + 135: = Y 12 + 3. 2 =0
40 = od + a
VC: Y18252- 235: = Y22,3.3
c + VC: 20 = V 392: =. 2 + V2.
E. = YC: 20 - V 392: =2 - V2.
4
20 = +6a. + a aa. a = 5 = VC: Y108 + 10: = 13 + 2. 2 = 2.
NC: V108 - 20: = 13 = L.
121632-6a Laaa. a = 5 = VC: V5408 F V5400: = V8 + V6. 
2= YC: V5408= 15400: = Y8 - 16.5 = 132.
+ VC. V62720 + 162208: -V20 = VI2.
Y248832 +24a + aaa. a 2- YC. V62120- 162208: = Y20 - Y12.5 V48.
Ononiam vero non oltendie ille, qua Mechodo invenerie Radieco Binomias, Bi.
nomii Cubi: FBO meam mOX exponam methodum (quoniam apriorem hactenus
nOn reDeTI) jam ante multos annos excogicacam.
Sed prius incerponam (digrestione Facta ab eis quae de PParrioro rradicurus exam)
mechodum mcam Relolvendi Cubiens sqaciones; e quibus paltibus ad illam per.
venerin.