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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 168, page id 851708439:0192
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L aL bL A.
dt . 2L12.
a a a bdd - bc d = -- bc d.
=cdd -- b ad
adaCaa
6b6. = bCC = bC6 = - bc d.
56C -- b dc
d0c + cdc
Non autem B, aut alia quaeris, ut c. Onippe cum
bbb. F bbb = bcb = - bcd. eec + bCc = bcC = = bc d.
cec - bde
dec +cde
EOC ClE 2bbb -2bba = 2cbb -2cbd. Adeoque b =c.
AE 2bbb-2bb0 =2abb -2abc. Adeoque b = d.
Trem ccc +bee= dec -bde = c ec = cb0 = 6 de - cb d. FL C = c.
AU eec + bee = ceC = cb0 = dec + ab c - dc c - dcb. Ft e = a.
V In hac Forina
aa a - b a a = bc a = = bc d.
caa + b d a
=da a + c d a
Padices sume b, c, et d. Ouippe harum quaris potica PrO ay aequalicaS exiE Ma.
nitelta.
Sed non alia quaeris, puta f: Ouippe cum similiter reperietur;
ssF = cs5 + caf - a5f = bff - bcf + BCd = bas. EL f = b.
Ve fff - bf5 + bas - aff = cf5 - cbf + cb d - cdf. ELf = c.
Vel fff - bff + bcf - cfF = aFf - abf + abc = acf. FLF = d.
Adeoque f non est diverta radix ab b, c, e d.
Similemque methodum fule prolequitur (per totam illam Sectionem quartam,)
oltendens Radices AHirmatiras, eas else, e non alias, in magna siquationum ra-
rietace, cocidem distinetis propolicionibus; prour eas ance cicarimus luis locis.
666 - 6ab
a00+cdb
AP. XL T.
DeHarriori Sectana Lumu  Aiquatio
cedic Farriorus Sectione Dunta, ad A. quationes quas rocat Communes.
In ca nempe torma consiutas qua losent ulu communi occurrere Aquatio
diltincta comparene, led simul omnia in uno AgGresatO contula
nibus Communibus.
nes: in quibus Membra quX nOtaS quantitates contieMBE non Cuc in Canonicis)
Otquam s quationes quas vocat Camonicas Sc Ctatuerat ut dictum cAt: PFO.
Docetque, (Communes cas cum Canonicis rie lelectis comparando) quomodo
in illis Radicum numerum determinemus; Ouorque ex illis Reales sunE, d quor
Imasinaria; Duor irem ACirmatirx de quoc Negatira.
In hunc idetu, hoc lupponie tundamentum: Oxlibet A quario communis tOF
licer alsecta, et rite conditionata.
Rire condicionatam rocac, quando ita se habent omnes partes cosa, (hoc ett,
Coelticientes omnes, et Absoluta quanticas,) debla Comparatae, (hoc est, dirita
qualibet per cum numerum qui est numerus membrolc in respectira parte Cano-
niex; atque tum ad talem sracum promora ut ueraque abeat cundem dimensionum
nUmerum;) PartES ((ic PrOmOTE de mutuo comparac) linr respectire vel aequa
les, vel majores, vel minores, in una atque i aliela Aquarione.
habet racies ce lattat alleclas, cl respectira Canonica imilier graduata, Limi-
Eloc