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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 940, page id 1815201908:0997
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=997
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 45 lines, status machine
# Lines: 45 recognised, mean confidence 0.79
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

3
eROPOETLOAESLALES
eROPO51+16ALY.
iV
Incbina Peries conrinue proportionalium A, B, C, _C. D, F, F, C.
Dicoramm C Mcocua CHC ald 108la.
emonsoratio.
chrationes AB, BC Cincca LC Ca HMCLationes DF,
b39. huins. B C ad FatOHEM F F, Dita ratio BF. ad rationem C F. HatIOneS ISICuE AD, BH,
CF Cuncin concinua analosia. Ouod erat demonstrandum.
eAOPOSMITO CXLVI
NECF AUIaS quantirates quaru A s B, media Sc proportionans C, a
lasumacis alia quae cunque D.
Dicorariones AC, _ C B limul sumpeas minores esse rationibus AV,
DB Cimul sumpcis, adeo que minimas esse omnium rarionum, daTaMFa.
cionem AB componencium.
Demonsa
Q AtioneS AD, A C, DB, CrCduCAREuF
ad rariones DCn F C, F G iplS aqua-
les, qux commune habeane consequens
C. Ouoniam igIEUERaLIONCS AV, AC.
F F, erix rario AB, ad racionem BC, ve rario DF ad rarionem P F. igitur
ag+. huius. permucando ratio AB es ad racionem DF, ve racio B C eA ad ratiOneM R F.
C262.hilivs.
sed veracio AB adrarionem D E, Sic eAt rario A D ad raTIONEM BF; _L VE FaciO
CZ. BuruS.
E2. hains.
dezg. huin
EPatet es
25. quine
DB dluncin coa, Cca CactoESD6
F C, F C lunc in concinua. ergo c etiam
D, Fs F, Cunc in continua. FrgoFD cum F
maior est quam F. bis tumpca. sed veD
cum Lad L, bissumpeam, sc eA S Fa-
cio iphus D cum L 20 er, de Taltonem
ipsius EbissumpEx ad G. Ergorarid L CI F ad C, Mat C ua LaCIO P. B1
iqa TCa ad C. ledratIO D cum F ad G, aquacur racionibusn D Ci, F G, hoc est ex
comt. Construct. racionibus AD, DB, ee racio ip suS F bis Cum PEX ad C XquAEuEi ration
BC bis, hoc est racioni AC bis, hoc ck ex hypocties rarionbus A C, d C B. C1g
rationes AD, D Bmaiores sunerationibus AC, C B. Duod erac demonstrandum.
C051F1OCXLVEI
At lalteeddes atuceticte trte eldu.
Dicorationem AB duplicatam esse rarionis CD.
Demon.