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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 1106, page id 1815201908:1163
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2V A DR A TV R A CIR CFL B
227. Proer. Sedratio, A F conriner per mulciplicatione bis C H, _ rario C N per mulcipli-
eationem concinerbisrationem DO: Racio quoque A bis concinec racionem
CSid hxcbisconcinet rationem DT acque ica de reliquis: isicur quociesracio
QUAMLIEAEUI A F ad T. 9, continec rationem quaHEH seum CIT ad N S, cocieshaec
ipla latio quanciracum C HI ad NS, ConinEFLAEISACI Guaat DL ad OT.
Duodtum demonstrandum.
eR OPOS1F1d AlII.
1106
Tinc proporcionales
ABC, C DL CXETC
mumterminum C ta-
bences communem.
BI14. PrO.
Diorationem duplicatam rarionis B dd C, addicam rarioni duplica-
EXTaTIOMIS D ad C, aequari rarioni iptius A cum F. adC.
Demonstratio.
porcionalic. Quacurrarioni A cum F ad C: leicut Clamracio duplicata B ad C, addica dupli-
D acio enim duplicatararionis B ad C, eAracio A ad C, e racio duplicata 12-
tionis Dad C, estracio F ad C. sed racio A ad C, addica rarioni F ad C,  X-
caex racioni D ad C exhiber rationem A cum F. ad C. Ouod fuic demonstrandum.
20+03
Ilne proporrionales
L quantItaEeS ABC
DE _ AFCFI; quae
habeane communem
terminum A.
DiCO raTIONEM P. A
addicam rationi lA, X-
qualem illi constiruere rationem, quam extriberratio C A ducta in (C
addica C A racioni in Sc dueta.
Demonstratio.
roniam A, B. C, D. F sunein continua, erunc eciam A, C, F in concinua: parimo-
Ldo quia A, F, G, FI, I lunc in concinua, crunc _ A, C, Tin continua. ratioigicuEF A
duplicaca est racionis C A, _ rario IA auplicaca rationis G A. Ergo cracio C A du-
porcionalie. C in se producierationem F A, e rario C A ducta in se producic rationem F A. ScC
82. Pr
111. Pro. ratio F. ad A, addica racioni Pad A, producie rarionem B Pad A, digitur ratio C A
ductainse addira rarioni e A, ducta in le produeir eriam racionem E. L ad A. COn-
Caciraque reritas propol.
Ulecc lccto
PR O POSITIO ZV.
Dicorationem E. A additam rarioni IA, FOFOS CONLIHeRC TALIOCME
CA, ductam in se additam rationi C A in Se ductxe, quories ratio C A
ducta in se addira rationi C A in se ductE, concinet B A quarerin se du-
ctam addicam rarioni F A similicer quarer in (c ducta.
Deito
Dort.
F IO XIV.