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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 399, page id 851708439:0423
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p
l L G F B R A.
X a  4f ~+ ∞ d = 2. D d 1 ) D a F2f0 = a3 - vt at: lem (deleris 
C aP. LC. V.
B = 5
ris.) FXemp Scalla,
trinque aequalibus, exterisque per =Va aIVLHS) =0] V B a =7 = ba 1 4) VB
= 4 f2 Vha 2 = 2fv = B = v B a = 2f2v3 ∞ = 4 fv3 N a f 203 X a2 =f
23a = 2fV3 a 2 = 23a3. Denique (Dolico D in V, quo eraneleat a cum luis
mulciplis, CxetCLIque DEI 2) d C) e aeseat 2) B =) d=vh, adeoque
2B - v = F + B = 3r-
V
Idem succedet, Tumpta, DrO V A, diametro Y A, (cuitangens OcCurrat in ∞)
aliare. Ttem, (I EXPOnEretUT curra qua ordinatas non habear, sed qua his requi-
Polleane; ut lute  Spat, crescentes radii.
Sed e calculi magnâ pars praeverti porelt; omistis ab initio (urpote post reji.
bus nec a conlpicuu n I a ducendi (upore aequalibus ulrinque proditu-
ciendis) terminis iis ubi hrabetur a 2 rel superior hujus porestas; iiem iis in qui-
e
E
a(3
In Conchoide, (F 5. 3.) cujus ordinata V M a constat ex sinu recto Y M = 5
=V Vb, et tangente M a = CH = - r, (GLL CD = CA = r, adeogue CL - A5.)
+
Taliem = = e (Potito CP = 5:) adeoque V a = B - 5. f = r -   = 5 = = 5. sal.
rem   E s =  s = = V vB (Potico a f 5 = n.) FrBO D F- =  B-
+ a
Yob = DO =  F  Y: vb = 2∞ a -: (omitto a2, quia post delendum, in-
F
deque oriunda, e sic semper:) e, sumpis quadrais,
52 + 25a vt
n2vb +2n2 N a F 2n v Ba = (hoc est, = supram sed = intea, punctum Rexus
F2. N a -
contrarii.) FL decultatim mulciplicando; omissis (ut praecipitur) f 2 _ 2 n2 vb
utrobique, omnibusque a= mulciplis; exeterisque per = a divilis; 2 fn = v6x 2 -2f.
= V BX = = 2 f2 n 2 ∞ 3 = 2 f2 nV B X 2: adeoque ( polico D in V,) nvBX
=fn vh + fnx2 = Fvh~ = f ur = - fvh~ C propier vB + x 2 = 52 + x=
= r2,) ef.
VB = 5
ar2 - v B 2
In Fisura Fansentium (F1 5. 4.) quae d Conchoide distert, exempro quadrance
Scltore,