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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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AL G F B R A. Cap. XXXIX.
terminatur, Ouor unc (reales) Negactra. Scce, Lol quot torent Attirmaci-
Cunque FParriotus (sectione LIa quarta) daris Regulis determinat, OUDE (UNE
in quaque sEquatione Radices (reales) Attirmatira: Fildem Regulis pariter de-
rae si ralis tieret mucatio. Adeoque no lunc Reales, de quor lmagima-
Ei A P
IX
utae lantum.
De Clarriori Dectione Tertia:  Sequationibus
Cianonicis Secundariis.
e Secttone sua Fettia; ab A quationibus Canonicis jam constituris; alias de-
rival Charriotus, Quas rocac Canonicas Secundarias; in quibus deest terminus
unus plurelre. Oux nempe ab illis resultant, sie condirionatis, ut omnia
Membra Nesatira (in una pluribusre Coesticientibus) sint (Sectusis Signis) omni-
bus simul Aftirmaciris aequalia: Adeoque (propter contraria Ligna) se mutuo pe-
rimant: Indeque cermini (unus pluxesre) in cali aequatione delint; radicum
ralore non mutaco.
Fujus cei haec extribentur exempla.
T. Aquationum Ouadraticarum Canonica secunda:
Oux non aliter dittere ab Orisinali sua, nisi quod
quancitas absolute cognita in oppolitam aequationis par-
aa - ba = = bc.
rem (Loco iptius 0) cum contrario sieno cranstertur. (Ex Cimiliter de sequenribus
reliquis incelligendum est.)
Suppolito jam b =c: lubstierit ubique B PrO C; aa - b a - ( bb.
mediumque terminum sic destruie: unde haec resultat
secuncaria Canonica;
aa = bb. Cujus Radices, L V bb, = V bb.
+ ba
In hoc exemplo, procestus est Patis obrius: Led in sequentibus aliquor est magis
intricats. IIle procellum parricularim exponit in omnibus. Ouod cum in omni-
bus parcicularim repetere, caedio Foret: Fgo Caltem (exempli gratia) in Se-
cundo et Decimo id tacere contentus; de caeteris, Lectori permicto rel id ex Lar-
rioto petere; vel, ad horum Formam, rem calculo explorare.
TI. Cubicarum secunda (quam tuo loco in antecedentibus videas,) Si suppona-
tux b + c= d: posico ubique b fc pro a, adeoque excidente termino secundo, re.
liquisque rite ordinatis; ad hanc reducetur;
A  = Bb a = = BBc. Radtices, F B, F c, (UE antC,) _ =D l, PrO= a.
6a
Vid. Sect. 4. PF. 6.
Procettus hic est. AE quatio prOPO.
sita est
ubique B f C prO d tiet
=Cad = bda
ba
bca = bcc.
Tum (proflet 6a) polo
Onde, deleris membtIS Glta LC MU.
tuo destruune tc
ad d = Dd d +b6a   8bd.
aa baa.
Bca=
Caa - b ba
FDaa - bca
-bbc
= BCC.
dat- 6da
FCa4- bCa
6C
a aa - 60 = 006
BCa
BC1
Ea
TII. Eadem