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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 489, page id 1815201908:0546
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=546
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 65 lines, status machine
# Lines: 65 recognised, mean confidence 0.78
# 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.

olem
tactu
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acio.
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A R AB O. L
PROPOSITIO CCLXZEN
Acxparabola cerminacx maximum inscribere parallelogrammum.
Constructio  demonstratio.
IC. ad AB C patabOIX dLAIMerrUm
DB D ordinacim pOFIEA A C; OPOTECE
demiccancur F II, CTTOCCUErENTCS AC
lineq in HI _ I. Manifectu est CxPEXCC.
denci propolicione, paralleloorammum
HGLF eHC id quod quaritur.
parabolae AB C maximum inscribere
Pacallelogrammum. diuisa DB in B, ve
nacim linea FO, e ex F e C diamerri
ED dupla Ec B. B, Ponatur per F ordi-
PROPOSITIO CCEXL
colaterum CoMHCENUMCTO.
Volyeonum regulare voco, cuius singula latera sesmenta auferunt aequalia, prater subtensam.
Constructio es demonstratio.
Darabolam datam AB C sub-
CeNDAE A C, OPOTICAE ABC
parabola, polygonum regulare
inlcribere, quacuor constansla-
ECFIBUS. CCCCEUE A C in D _E F,
eritariam, ex Cx D _C F diamerri
PONANEUFDF, F C, iunganeur-
quC AF, FG, G C; dicOAFC C
polrsonum lacistacere pericio.
ni. CUM eNIm AD, DF, F. C. li-
nex Equales linc. segmenta quo.
que AF, FO, CC aequalia lunc: Polygonum isitur regulare est quadrilacerum
AFOC inCcripsimusisitur, e c. quod erac taciendum.
PROPOSITIO CCLXXXVIII.
Nexe parabolae cerminaca, polreonum regulare in scribere, quod da-
IIdem poricis.
DicohC Guaamlatetu elle Masiuillorum qua Ab C. Pa.
rabola cerminatx in scribi potunE.
Demonstratio.
lecioace clcu allaauoauis quacenacetum Abeil: Quocorccto sulatuta
cus Ce communchabeac cum quadcilacero ALC. C: quonam isieur AL, li +
aequalia sunc seomenca, aminora illa tunc segmencis A B, B Crirclidua igieur hISUTaFC- ins
Etilinea AF C:C maior est Rgura rectilinea A B C C: similicer ostendicur quadrila-
terum quoduis aliud minus esse quadrilatero AFC, C: maximum isirur illud cA e0.
rum quae ABC parabola cerminatae inscribi ponune.
s.b
la 4c
Corola