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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)
# Folio 64, page id 851387705:0084
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 IVS
Labella sadicionis  Dubdct tas.
9 IsE 11C
174
122
lC2l23
14125
7 (8 19120I22172123124 I25I26] lil eile
5170IFFI72 (23154 (15 126I 17
3(20)FL 112 123 124 125 126157118
Si enim nungelocum addendorum alcex sumatur in summitate seriei crectae, al-
ter in principio seriei tranlversa, communis serierum concurtys oltender corum
aegregacum. Fxempli gracia si sumatur in vertice 2, ad latus 3, communis con-
cursus extibet 5, qui aequalis est avorc8at0 2 + 3.
t
Siquis denique vericacem hujus cabellae demonstrandam postu-
lec; illud hoc modo tiet. Verbi graria. 2 + 3 = 5 sic demonstra
cur. Ponancur primum duo puncta, et deinde tria, quae omnia si
numerentur reperientur quinque. Vel Sic. Guoniam nocum est
ex ipla numerorum proereguione (quam Cap. 5. eradicimus) quod
+ 7= 2
8. 8
DF 35.1 5  F=6.
= F, 10, 10 F E = LF. FrynCeciam (Det
axiomata superius in hoc capite eradia) 2-
F 3 = 5. Vet
F5 7 +
Acque eodem modo rora cabetsa demonstrari pocelt.
F1t A =F5. FFBO
=3 = FH. L,  4 Y F. = 5.
Si quis aucem Fabellam illam abbrerigndam cupias, vorerie illa quidem tieri
fere duplo minor. Cum enim lit verbi oratia A F 3 = 3 + 43 susticiac horum
summam semet poni, eo moco quo hic ostendicur: ubi duorum numerorum ad-
dendorum major semper in tromce rabella, minor ad latuS guxratuP, agGregaTum
In aCd., si 11 IBO 4 lr. M L
CF O BLA BACTIHA N WDE) CAITIVON
esp esst itga . V aaditionis Pabella Contractior:e l. sest BOWB SiIO
ot
pis
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ueua ciure l 10. 10Xc 2 1. 13 1 4 1 5 16 1 71 8 191A 10
1od. lori 1 eril E X 1 2 1 3(1 4 1 5 1 6 17
5 eF 3uril 2
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5
19120
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1us estat p viloguavs 13, 3 l 8 102 l. 8, 1 0. 140 1. 22 1 22
ressacrest CucLLNMELS eBSMN C 8 I 91I FOI FFI X2 1X3
cila em te holle eiremup Wvilloni 5 [10 I EF 1 121231 14
iseos l.
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de 
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21s 5.l..C) 1g
clicto vec
5 l 12 1 13 124 125
1
7 124 I 25 1 70
2611
2
esitsi
In numerorum compotitorum addirione major est difficultas, quae tamen, tot
ex simplicium additione dependet. Hloc aurem quo commodius trat, numeri ad
composi dendi ita seribendi sunc uc unus alteri directe sublic, ita nempe uc Monades unius
Monadibus alterius subsint, et decades decadibus, reliquique loci inferioris iisdem
respectire superioris locis lubseribantur: quod Faciendum est sire duo sire plu-
res quoeris numeri addendi sinc: acque deinde, ducta lubtus lincola, aggregatum
monadum monadibus subleribendum, decadum decadibus, centuriarum cenutriis
arque sic deinceps. PNempi gratia. Addancur 25634 + 63152. Nlumeris isitur
XIE
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sit qulo vic 11
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meris
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