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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 494, page id 1815201908:0551
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=551
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 51 lines, status machine
# Lines: 51 recognised, mean confidence 0.81
# 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.

2bid.
b rbid.
P AR A BOV A.
Demonstratio.
DRoduaa FINI, OcCuT.
aC lineis AB, AF
AL, AC+ in O, R5S, I.
noniam cst A IL ad AB
sc BD ad BF, ex hy-
Pothesi; siC alTeM VE DD
ad BR, ACHIMadHIO.
TM est ad FTO, VE AH
ad AI, Id est ve HO ad
IN: proportionales igitur
TUnE HM, HIQ, TN. A.
 ilicex octenduncur pro-
porrionales TIM: HIRI
 te es . 5. 1O3 . C 31SD KO: itEM FTMB FISILP:
istt
I. deniguo TTM, HIT, BC:
quare rectangula TIMTLN, AMKO, TTMEP, ecc. illam incer se proporrionem
habene, quam FTO, FTR, FIS quadraca: sed est ve FTO quadracum ad quadracum
FTR, sic B F quadracum ad quadeacum BF, id est perhrpocheuim A I quadracum
ad quadratum AK, _E VE FTR quadeatum ad quadearum TTS, sc quadearum BF)
ad quadratum B C, id est quadracum A K ad quadrarum A. P: igieur de rectangula
TTMTN TTMRO, HIMLP eam inteESC POrVAnCratiOnem quam A I,AK, A F.
quadrata: sed rectanguta FTMI IN, LTMR O, TIM P P CInCVEHIHCE LN, RO, L. P;
isicur _c quadrata AI, A R, AI. cam incer se habene proportionem, quam lincx
EN, RO, L. P, quarBa A, M, N, O, P, sunc ad parabolam. Duod erac demonstrandu
adu
EROPOSITIO CEXCHLII, muve
cet 1. (111112
SuBCata SIE ratiOnL HL a LLC, CC. _CM CxD, F, F, C punctis rectae
criganeur DII, L. BFL, G L. parallela lateri CB: quas in MI, N, O sc.
cenclinCX HIM, IN, IE O aequidistances lateri AB.
DicoA, MI, N, O, C puncta esead pa-
rabolam.
. 11
Demonstratio.
quadraTUI AF, VE F MC linca ad lineam FN.
Smilicer ostendetur esse ve F.N ad CO, SiC AF
quadrarum ad quadratum AC. puncta igirur
A, M. N, Ob sunc ad parabolam.
e
Sto ABC crianguli lacus AB alvisum in D, E, F, G panctis ve
ratio AD ad AF G duplicaca heracionis A F ad AF; e illa rurlum
1
Toniamracio AD ad A B, id est D H ad
FL; id est F. M ad F N, duplicaca estra-
cionis AF ad AF, quadracum AF est ad
iue ete ras  es tet ue pet e se tet ete e e t s e et ete  us t te es et q e e e te e  b   suttet   ste    e te t te e  st  te t e   . et   t  11 6 1  e