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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 582, page id 851387705:0602
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aP. I.
De Notum Creneru.
Onendum interim est: Intellisenidam elle hanc Propolicionem (de quae trine
Vere quancitas, e tinita: Non o, vel Intiniums.
OlivDe, E quae lupponiur compeneticium altera data, sic nullius quanciraris
(Duta; uc 0 ad L,) quaecimgne Tic Componens cellua, Compoca eliam nullius
nens reliqua non CoMtabIL. LH CHIM tAM OX Y = O, Quam OX 2 = 0, AUE OXZ
=0, dc. Nucdus numu peride nullum est, acque Nullies Duo, vel Nallies
Pria, dec.
iis dacis,s quaenat  lera tabios esta trlellgiue, cum insinica compolica, erram
Insinicam exhibete.
aquae Pe LaHOSCaS. Cu astu Sacttre compota, 
Gonus
SElA siplic
5 C 7I,8. LL M. 1t
LVL dependenc) de ejusimodi Racion Componence data, cujus Fsponens elt
erit quantitaris: Adcoque, ex compolita, es illa componente, qua tuerat Compon
Similiter; Si AE Comsponencium alielau racio Lnfmt (CujuS IndCK HC ∞.) F AL
enim tam COx F = B, quam COX2, vel ∞ X 3, 8C. Infinities Onum, paricer Lune
Insinica, aique insintus Duo, vel infinicies Tria, ec. Non constabie itaque, ex
eoq isp 1B b P RO P.
Si Racio quaeris cum A qualitcatis pacione componatur; eadem manet
2I.
tam inon immulaes en seGualicatis ratio.
oditeta et E pi Forii 3. L FX YB. V F.  3 
DVed, Dux ex Aiqualis e Dupli rationibus componitur, ell Dupli ratio: Oux
ex Aqualis _ Pripli, est Pripli ratio, ec. Sire; Quod ett Duplo Aquale,
Duplum Ct: Quod Friplo, Priplunt dc.
SeguItur ex 2 tujus. Exponens ucique Racerns Lglasum CLF; (Nam. A.
A   S
alium exponentem misscipican, calem reltiie; (quipperX t =r.) Adeoque
constar Propolim. il  SI CCMSASCCEZL SIBCBCCi
BGCHO) sid gocilou  il crodilicuile
ide
TTF i CE, HI FsoctilsouB lo
eiup. 1 19+ 10 edil
quale quodris per Tultin H quale divisum, Ollocientem extribet r: ) Oui quemois
PEROP. V
Fix. 4
Ouancitates quxelibet, in eadem ratione rel atictx rel diminurxe; in ca-
dem qua prius ad inricem ratione constituuntur.
Fi8. 5, 6. 2  A. B. C. 1 2 A. 2B. 3C: : 4 _. L B. ZC: r X. F B. rO. 1C) cinoisus
lcd 11115
Equiem ex praecedenre s FA urique
==. rumi
BDEOCIX  ∞LEBD 19 3.3I1O
Adeoque r A. r B. i C. in eadem ad invicem
rationo aeque A. B. C.3 E3CZO itrcur. Orib sarret e olli:  enclisnsc
Idem demonltrabicur CkE XB L lement. 5. Cum enim sit, ex hypocheti, ut r A 20
A, ticr R ad B; exic (. permurando) r. A, ad, n B, ur A adt B. FF de reliquis similiter.
P.
Dux ex Reciprocis Racionibus componiut faco Cn Lalto A GuataliS.
18. 78
Ec contra; Aqualicaris Ratio, ex Reciprocis componitur.
EF
Puta;