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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 497, page id 1815201908:0554
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=554
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 81 lines, status machine
# Lines: 81 recognised, mean confidence 0.74
# 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.

Muod.
recta
NuM
BBOr.
AC.
e, 912
1
arabe
erent
oniam
est ad
Cx 2.
linet
E, COR.
qua
DE
ctum
raxi
1Pi
are0
212.
PFA RCAEB O I A. E
P R O, P O SAIAITIOOOOOTII.
Scocirculi ABC diamerer AC, vrcunque
producta in D, exiquo in circulum immit-
tancur litiex DB; a8ancurq; 2d AC per B HOF-
males F P proportionales ipEsId B. quarum cer-
mini (INC F P.1. Il il M 202111
DieoFF puncta cMo ad parabolam.
 Demonstratio.
1110
Vcacur ex D linea DCi, contingens cseuum in
C, de ex C, Bonacur EFInormalis ad AC, iun-
Bancurque FIB, isicur DB a ad DB cAt ve B FI ad B II.
sed BFI cranstacae in F F, producanxb parabolam, igi.
cux ee ipsis DB id est B fl. Broporcicales in eundem
locum eranstaca, producuns quoque parabolam.
tsii uterete
orgaD RO BO SL FAOSCCCIV
lochareqZAM
Stumprum sic in AB C circuli diameero RC, punctum quodcun:
Laque D, exEra centrum. radia aurem D Cguadrals describatur cir-
culi C F F, perticiacurque quadrarum FD C. cum ex  recla ducaneur
quoccunque D F. Occutrenees circulo AB C in HI, _ C L F quadrAHCL
in P: e per LLaganturhormales H ad AC, hrancq: HF. lincis, aqua-
les L. 1.
115. 1I CHI
ErtI
Dico L. L puineta eMe ad parabolatm: lu
∞l11 3II. 23119FI13SC
IB DemonsratiOSISMLIB LWAN SO: EI eI
Jerre l3s ent1β. 5. 151F
roniam FDC quadracum.
Lest, exD, concrum circuli
CFF, rectae DF. lincis LK ~
quales Tunc: Ponuntur aucem
ipsis HIF, aequales LI, relique
isicur LR, reliquis HID aequa-
les sunc. Sed ETD cranstaca oin
d1
l31
RE ad parabolam sunc; idicur. ir. F3. 11CI
C, F. puncta iam quoque lan ad parabolai iin.
B5. st
35 et ll 38 2:t lic
BGq  SCISuION
et EI A 1∞ CL A 3Vb
i
Z Corollarium
L et 5 CABE EIL b3lECHI
DOrrovercex hulusparabolae sc Invennir. exect a ex D hbrmali D B, ∞ eF B28  =
tur concingens B M: dein M D diuidarur pitarium in NI: pacet N d CAC VeFEI= dEY 17:
cem parabola.
Ex A3 eruerheup D L cEH: IY criw Bemg A3, 2D 23 Slocerq 3II NNI O23VXDZ pu
geit ELil 3 Sl3 Bi, e SL CWL IMM BRCMNEHEsIP NXL 3V D. L sMBEKHBUB.
5.1och 2g so norior .AL otns il il
F+
haius.
r. ticit
l.ec
e