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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 899, page id 1815201908:0956
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=956
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 59 lines, status machine
# Lines: 59 recognised, mean confidence 0.72
# 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.

1t
I1
D
EE OM F F RIC A.
P ROPOSITTOLIIL
Acis duabus racionibus A B, CD, ponacus et cercia L. F limilis cacio.
Dicorationem AF esse  BF, verario AC ad BD.
openodemonstratios
lot.
Voniam rationes C D, L. F PO.
nuneur similes blle cadem;
ratio AB ad veramque, candem
8 F.
tio A P adrationem BF: de acio AB ad rarione C D, IEd Pacio A C ad Fationem
BB. FFGOTalo AL au Lucionem BFis est Ve racio AC ad racionen . 
erac demonturanau.
e ROPOSTTIO LIV
eae ad At, racio eMt adrationem C
LHClA ve
A trta ce
Demonstrario.
ad D, algicur racio F adB, CA deF ad D. vude ve B ad E, ita B ad D, d conasuen- dem.
ECF BAdB VEL a.uodtuir demonstrandum. l.l L1. A RC
PROFOSFFYO F p OaC aBICI
ta  est L
ES CIAELMHRND RNBN
Trario AB estad C Bractonem, ve ratio D F ad rationem DF.
Dico Aad C cande habere ractonem quam F ad F.
Demonstratio.
F: Ponitur aurem Fatio D L ad D FS eandem  52-F 1131OIBCT bS  X A 013 M 8
habere proporiionem qua ost incor AB et  ∞II. BIV. PTCI mnOIZ BC A
aentes. c A ad C, sCF ad F IDit  qua
Bet E.Ha AF CMDSIONtA BB 
∞i
s
Se monoiiim
habebirpropoem: sed vera-
cio AB ad raeoC P F ica aFa-
1rD1 et HCHCSIIEE e
Dicoquod Bsicad D reest F ad f.
et CCSDC FDiZBL  a3. hnius
b
iius.
CL.Maiu3.
tae e
Voniamratio AB est ad CD rario- l
eio AF ad C L LacOHCII
ergob racio AB est ad A F. LaTIONCM, VE
racio C D ad CF raciollem: ratio au-
tem AB ad AB raciOnCIM CHt VEF 2dB,
 e t 
B Acio AB ad CB, est c vE A adt C, d vE
rario D F ad DF rationem, AC F Cst ad
leta
eROPOSECIO LVI
CTacOLB ad CBratIneM; veratioD P ad F C rationem. Deindo
Dico A C, et D, 1gmlicates esse provorcionales.
Demon-
hacveCadF, ita F. ad II.