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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 178, page id 851708439:0202
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eec - 3bbe = +606.
ade +
1.
Cujus radix e = a - B.
Vels Potito
Adeoque  006 + 36e0 - 3600 + 666 = 4 a a a
Fit
a = - c+ d
=3bec 66be- 3600-- -
eec = 3bb0 = = 0c6. Cujus FaciIX C = b = a
ade
3baa E = + 56c.
dac + ddb = + dda
1aab
XI. Aquaio aa a = 3ba a + d d 2 = - 556;
POTito a = = e = b,
Adeoque = cec -3beC - 3bbc -- bbb = + a a a)
+ 3bec +6bbc + 366b = + 3baa  = - c66:
ade ddb =  d d a
eec --3bb0 = = ccc. Cujus radix c = = a - b.
Vel, potico
+ adc + 2bbb
a = + 0 -- b.
db
Adeoque F ecc - 3bec + 30be - bbb = + a aa)
Fid
= 3beC - 6bbc + 366b = f - 3baa C = - c60
ade = d ab =  d d a)
eec = 3bb0 = = cc0. Cujusradix e = + a f B.
 ade - 266b
F a ab
In quibus omnibus (aliisque) Aquationibus Cubicis, Addendo vel Subducendo
a radice (aut radicem inde) Prientem Coefticientis secundi termini (prout res
Dostular,) Secundus terminus (in sguratione nova) destruitur, eju lque locus va-
Cat.
Hoc Cst; Si exponatur aequario a a 4 = 3 b aa _c. ponendum a = = B + C;
(ad eoque e = a - b, aut e = B = a.). Si Lic a aa F 3 b a a _c. Ponendum
-b = e, (aceoquee = + a = b, aut0 = = a - b:) Nam ueroris modo Sc.
cundus terminus in nora aequatione deRrVIEr.
Cur aucem in harum Aquarionum aliquibus, seminam ponir suppositionem; cau-
Pa elt, ut conserraret radicem Afirmatiram: Nam radices illae qua secundum alie
ram luppolicionem Forent Aftirmatira, Forent secundum alteram Nesacirae; et vice
verla. Sed non in omnibus; quoniam, in nonnullis, potitionum alcera Colam Ne.
saciram radicem extriberet. Ouod ipse ad primam aequationem diserre monet.
Cartesius harum suppolicionum non nili unam docet (non ut LTarriotus duas:)
Nempe, Addendo vel Subducendo Radici crientem Coetficiencis lecundi termini,
non item crienti radicem,) adeoque non Pacis prospicit de Raclice AAirmarira
lemper habenda.
Suod aucem hie dictum est de parre certia coelicientio, in equatione Cabica;
pariter intelligendum est de parre quarta in Biquadratica; et parte quinta in aequa
tione quinti orcs; ee sexca in sexsi ordinis aquatione; d limiluer in sequen-
cibus. (Ouoniam hujulmodi numeri, in consticurione aequarionis cujusque d ra-
dice binomia, semper alticiune secundum cerminum in lua cujusque aquatione.)
Ac
hibemus in capire proxime seguente; reserracio aliarum aequacionum exemplis ad
capila post sequentia.
AF
Pit
ju