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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 Motu Generatia.
Cap. I
AC I
3er 1B1s. I3lF. 1115, 2 dS
Oux ad aequalia candem habent rationem, sunt inter se asaa.et
CCOnEra. I  gIS ElS EMa SI sisD c
18. 2. 111113. L Ot e3is) A = L. 2 A ==2 F. r 3 A == 3F. n A = r R  aeIOV
DOta; Si A, F sine inter se aqualia; erum et inier se aequalia L A, Z R.; iem
E 3 A, 3F; EE universalicer, r A, r F; cujulcunque rationis Indet LicY. Per
2. Prop. 5. F.1 Fuctidis.
D2tC
3i
ELOIXSiL ASHIBTISMI CmnSerStC
Obi ratio ex duabus pluributre COmpOnITuE; DRtIS CompONCHLIBIS.
datcur compostea. Nrempe Mulciplieatis invicem exponencibus com-
Ponentium, ut habeatur DXPOnONS COMMPOME
(1 5. 3 d cslessita
113 1SLE SEECSIACG 115) A 1711 5i1. FFig 19. a
critu i
st
FrMEIN
103(.
e
YA
rE
 5m 1BIZL CCAWCSL SIASN 
Fig3.
ei
cirvitoriiet MrineiA a aXC
23est atitis
o132
oo ot line lu
axe ACFa.
X -
r5F
1g. L.
us indir vssom
repe
Mam 2Y3 = 6.
X2 X
sctE bie
COnco, datarum Rationum componencium, dati Indices seu Exponentes (ra-
Ltionum mansmras appellar. Fuctides; quod duantitates exponune Interpretes;
malim Duorientes; id enim rulc quod ex termini Ancecedentis per consequentem
dirisione emeroit,) anc. Dacur, inquam, Racio ex his Compolica; Fa Rempe Cu-
jus Exponens elt a = a X C. (ver 5. Def. 6. Flem.) Ouod crac demonstrandum.
dimilicer, oltendecur si plures ellent raciones comporentes, puca l adr, m ad 5y
n n
n ad c; quae ex his componicus, est rario 1mn ad Y AL. PCOPre = 
ut EAE AtE
SC HOL ZV M.
c.
imn
YSF
Vohac rectius incelsigantur, notandum erit (quod non pauci perperam
accipiune,) Raciones, puca Dupli, Pripli, ecc. Indices seu fxponentes
habere 2,3, _c. Onde Denominationem Sumunt: Nempe Ouotientes
terminorum Antec
+ 2d2, F.XpOnenS est 2; quia 2) + (2: quam itaque Dupti rationem dicimus.
Racionis 6 adt 2, Exponens ell 3; quia 2) 6 (3: qux propierea diceicur Fripti ra-
i0. Fc univertim, Racionis l adr, F. Xponens est: nempe Ouoriens Anceceden.
tis  per Consequentemr dirisi.
FIOS Indices (IVC Exponentes, appellat Fuclides, Rationum mamonris; quod
Quancitates exponune Interpreces; expotuillene cunius Quotientes. Ouippe illud
rult Kaclides, quod ex Antecedentis per consequentem diritione emergic. Dixit
autem mamoruras porius quam rorsmrus, uc illos etiam Ouorienres comprehenderet
qua
P RO P. VT, 51
, I
Fig
OFL 5A25.S