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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 230, page id 851708439:0254
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L C F. BR A.
L ~ X - 9 X 8
NX +)
-
8d =c
+ N X X X 8b ~ X 8bY b 606d
8da X B dY X
F _ X N N 6P ∞ N Bgib 61 =0.
ap. L
Obi primus terminus habet F (guia tactus ex L in f:) Secundus dect,
(PrOPteE = y a3 ec F y a Se mutuo perimentes;) In certio, ry habet signum
(quod sire Fuerit  Lre =, Pro eo Donimus 8; _ B PrO CONTTaTIO:) la
quarco, b retinet quod habuerattignum (quia Fc ex b in F y:) sed d altu-
mie contrarium (proxter mulciplicationem in = y ).. Atque hactenus res constans
elt, quaecunque tuerint signa iplarum p, q r, magnicudinum.
5. Jam reco, li habeatur F r; indicio clt, iplarum b, a, (in Ouadraticis)
Tiona fuisse similia, (secus enim, non Foret in biguadrarica f B d =- - f r.) Adeo-
que in cermino certio (quippe lecundus decst) 8 b e 8 d ligna icidem lune
limilia. Fc propterea (cum sIE8 B 8 d - py = 8p) erit 8p + Yy = 8b.. 8d.
(HlOc CHF L B. f a si Fuerie F p; ec - b - d li tuerie = p: indeque con(tat
num B, a habuerine ucraque F, an utraque ..) EEt in quario cermino 8 b
Ba (quia b ducta in F yx, recinec cuum signum sed mutatur signum ipsius d
propier ductum in = y v) Adeoque (proprer 8by . . . 8 dy = 89) eric DG
= 3B.. 8d.. (Ft PrOPterea, L p q habeane idem signum, B major est; sed d
major si habuerine illae Cena COntraria.) Adeoque p F pY est summa, et 2
ditterentia, et fr rectangulum, duarum b d seclusis Tixnis. Hoc ct; Si fuc.
it + B.
(quia tC ex = y in F y;) b _ a idem quod habuerant in quadraticis
X - y X+
x x + y v
d =- c
Fs
+ X e X d on es
+d N d dY _
N N
FX N ∞ x F p ~ ~ =qX F r =0
Sin laerre = p; ctu
F N ib ib   = p N N
 + bd
9N + r =
t
propierca 6p F y y elle duarum b d disterenciam. (Farumque Masorem elle
altirmatiram si hrabeatur. + p; sed minorem, si - p.) EC Z. carundem sum.
mam, (adeoque + b, = a, s sic + g; ted - b, + a _ = g.) Ft = 1,
rectangulum. HOc cll; l1 + b,= d.
8. Sin habeatur =r: indicio est iplarum D d siena fuiste contraria. FL
bN N N F b  N  bY X - ba
VN X  dy
F  X X ~  = p W X + q∞ - r =