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# Title: [Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica (shelfmarks Leibn. Marg. 100:1/2, Stück 1; Leibn. Marg. 100:1/2)
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DE A DDEYEONE
Cap. XV.
Nempe SI addantur 3, ut = +∞ hoc ele, l intellisantur pont 3 CubI, d
(propier lignum - contrario sel es Ponendum) auterei FCubus, cancundem est
atque SiPOnantur L CBI (quia 3 = + = 2.) ita Si addancur L X7) de f 23
cum utrumque AIIIEMCCUE, aggreSaTIIHI etL Y 323. Ttem = 228 8 - 32e, cum
A C F F, (quaecunque demi une quantitares (ymbolis illis A, B, C, _c. de-
signaca) ageresal iim erit 2 A = B = D F E. EL parirer in reliGuis.
5 B1 - 28 -8 + 43 11 1
B - 5b3 = b
48 - 66.- 2b + 5b + 2
Verbi eratia, Ci supponanns A, B, C, D, F, Sieniticare 1, 2, 3, 415. Trem B, b
B3, B2, Tieniticare 3, 0, 27, 8c. tancundem valebunc illa atque hac.
m
405 = 54 9 f (2  =354
8F - +35 -0
F4
2.2 L
324 = 262 18t +5FC = 260
In subductione hae obserrandae lunt Recula.
T. Si siena sint Dissimilia, subseribenda est quantitarum summa, cum sieno su–
suctione. Perioris, nempe quantiaris minuenda seu illius unde facienda est subducdio. PuLa
s Cx - 3 auteramus F 2, reliduum erit - 5. Nempe si supponantur jam deeste
3. e ulcerius auterantur 2, tandem decrunt 5 = 3 + 2. Trem Si ex f 3 auteran-
HT = 2, reliduum erit f 5. Nempe s jam ad(inc 3 Ec inTuper tollatur, (hoc ett
suppleatur) defectus duorum, sire reltituantur 2, jam tandem aderunt 5 = 3- F2.
2. Si siena sint Similia, subscribenda est quantitatum Differentia; cum sieno
communi, ubi quantitas auferenda minor est: sed cum sieno contrario, ubi quantitas
auserenda est major. Puta, si ex F 3 auteranEur = 2, manebir f F, quia
2 = F; Si vero ex f 3 auterantur + 4, manebit = +, quia 3-
supponitur nempe x deeste. Trem si ex = 3 auseramuS = 2, manebit - F; quia
nempe  incellisancur decsle 3, ee aliserantur- 2 sire suppleatur defectus duorum,
hoc elt, h resticuantur 2, tandem decrir non nisi L: Si vero Cx - 3 auteraus
qu manebic = C; nempe ubi dcerant 3, _ rellicuancur 4,, aderit L. Ec pariter
in aliis.
Ouxhrredus veranique conjunctim (C eert, Subductio speciosa conjumeit ultam.
que masncudinem datam, mutatis omnibus senis quanticatis subducendae.
tlis explicatis exempla sequencia non silticulter perciptencur. Nempe, si
du
FX.
+3∞ - 225 +520.
auter. + 2
278
3
278 +3
reltat. + 1∞ - 125 +52 = 8
rel 3C- 20 + 3R -
C- 1O = 2R +3
2C = 2O F 5R - 8
15) 3AC = 2A9 = 3A - 5 323 = 24 + 34 = 5 3aaa - 294 = 3a - 5
2AC = A9= 2A = 3 20 = a - 20 =3 2aa aa = 20 + 3
AC = A9 + 5A  8 11 a = a +54 - 8 aaa = aa + 5a - 8
Cx 3 ∞ auterantur Z D, manebit F ∞; quia 3 = 2 = F. Trem, (I Cx = 22 au-
Feramus = 128, manebit =- F 23; quoniam, li ubi deerant quadrata 2, auteratE
vel suppleatur defectus unius, hoc elt, resticuacur x, deerie adhue quadeatum u-
num live rZ3. Irem, (1, ex 3R auteramus = 2R Cupertune + 5 R; nempe (I
ubi aduntz radices, reltituaneur adhue 2 radices, aderunt omnino s radices. De-
nique si ex -5 auterancur f 3 reliduum exit -8: nempe cum jam delint 5, (
adhuC
omnino 52, quia 2 f 3 == 5.) denigue F Se q Mc L; nempe uno plus
sulis Tummuns collectum) clt F L C + 328 -52
uerumque negetur, erit .52e, guenum collic 22, e toltu inluper 3 2e, collie
Eollicur quam apponitur. FC propcerea aggregatum duorum addicorum. (ex Lin-
Sic in exelBlis sequentibus, II AaIIIL A f B - C, 8 - 2B f 2C - D e
Im dub
l1
uOt
riea
des