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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 797, page id 1815201908:0854
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 42 lines, status machine
# Lines: 42 recognised, mean confidence 0.82
# 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.

LN P LAN Y H.
PROPOSTTIO EREIZ.
sceri parallela vna IFF, AanE PFOPOKNaleSIF, P F
puncta CC A describatur parabola, Cuius aAWsHCOLL.
Dico FI planum ductum in le corpus poua uoo.
exductu OF in alcicudinem F. I.
Veantur more Colico lince quoc-
VIX CF, P B, P L, ex hypochesi lune
in concinua, eltque GC Parabola
criam a reliqua SIMneS GF, FF
FL crune in concinua. Compo-
nendo igitur ve GF. lunc ad LF,
SC TIE lunE ad IF: e alcernando
VE GF ad F FI, SIC FF ad F I: ec
componendo re GFI ad FFI, hoc
CA FI, SC FL ad F L; quadeara 10i-
TUE FI aquancur reccangulis G FI,
F I. ErsOSplanum FI duccum in se equacur plano C HF dueco in planum P. F, hoc B a5. huias
est in alcicudinem P. I. Ouod crac demonstrandum.
PROPOSITIO CL
Nrculo AB C inscripeum sicrectangulum A C auctaq; B C LaFCKI P2-
rallelâ HIFD, hanc proporcionales FIF, F D, OC _ FectX F C XG
lis AaE FI. Tum per puncta BC A, B I A delcribantur parabolx, quarum
axes sinc FC, F. I. Demum rectangulo AC, adiiciacur indirectum a qua-
lerectangulum AN.
Dico M Kplanum ductum in alcicudinem FIF aqualem exhiberemo-
lem illique producieur ex ductu NP in PL.
Demonstratio:
Virculo AB C inscripcum sic rectangulum ABC D: ductaqe A B 13-
Demonstratio.
cunguC OFV IFI, _ quoniam
C. Delhdepet
EX 3I.
Veancur infiniex lince NOPORL M parallele ad BC. OIOO. KR
sunc parabole, ec HIF, FD, D C TunECprOPOrEIONAIES, CEIAH L , L, (ACHM L)
eOproporrionales erunt. isitur componendore OOad PO. lcMd L.te
quia parabole OO, K K Similes sunE _ aqualeS, FCCFG L  ALCES OO. CF-
111
C
4c
SOVEK93dP8. C M G ad      ende
 e  i.    s t  . t 1 i   te e e 1o  a  s  . . .   1t