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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 387, page id 1815201908:0444
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=444
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 43 lines, status machine
# Lines: 43 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.

2 22 2C222 L 1.
POFOSITIO BI.
ECCLAB pa ICCIA GuRuIS AB in A _ B, qua diuisa vecunque
Din C _ D, diuidatur in F. X F, VE AC, AD lineis linexquales BF, BF
tingula singulis; dein per CD, F. F puncta parallele ducaneur OH, IK,
LM, NO.
DicoestertS CHT ad IDK, rectangulum sic OF NV ad M E. L. rectan-
gulum.
Laaue 6C1L a 1D H ACD al
ADB. HoC el BF A ad BL. A, qMa AC, AL
aequancur FB, E B, sed ve BF A ad BF A, CIC
cANFO dd L FM: IgItuE ECNadIDR. TC.
aangulum, candem obcinee rationem qua N FC
rectangulum ad L P M: Quod tuie demonstran-
dum. nec mirum, cum OCFI recrangulum ip(
NV FO, _ rCCTAHSUIO YD K XQUCEUT L PMrC.
crangulum.
Demonstratio.
ISCCMI pet Quadeasolimam nonam huiuS re
L edeI ec
ee L, dividanericunque paratta ll AF: det ex B, Med MlICaCuL
quamsecato edo Ci.
Dico eNe CDF rectangulum ad rectangulum CDL, H AO L
ctangulum estad rectangulum ADF.
rEcenE ABC parabolam cca quaevis diamerri BD, C F, quas inD
eses abte
cur _ BDF reccangulum, Mt dd Fectangulum AD F, ve ADL Feclangulum est
ad recrangulum AD F. OEod crar demonstrandum.
COTOoeiO Lc
niam DF linex per hrpochelim xqui-
Lidiant, a BD, C F Cunc diametri, recca
DE inter se xequales sunt ob P. D Parallelo-
srammum. quare CFDF reccanoulum ad rc-
ccangulum C DF. et ve CD ad GD, id cA
BD ddbD. la deBD aBD, IL ABF
arccratioulum elt ad reccans  A F. 181.
Sto ABC parabolae diameter AD, quam in F _ D, seceneordina-
Lcim linee BE, FD, AUCATUTGUE CX A LINCA A C, SCCANS BF, FD OF-
dinaum policasrecunque in C d fI.
Dico BF. G rectangulum au ecanzuum L pulalatu hablie
ntibrict cillor sne habet DE ad FD.
cC
Demon-