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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 511, page id 1815201908:0568
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=568
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000568.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 72 lines, status machine
# Lines: 72 recognised, mean confidence 0.76
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
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# After the first blank line: the recognised lines in reading order, one per line.

volis
Dul.
epo
lettr
SR.
eCl
t
lacu
rigi
unI,
2.
P0.
vam
ele.
e
P A R A B, O. L. L
quam FB, CF. linex inter se xquales sunc, adeoque FiB quadrarum aquale qua-
deaco CF, lacera quoque recea axium AD, D C aequalla lune, vndc d ParabOI fin. 8
aequales.
e1ZEAI
eROBOSLTIOECCxEXIV
IIdem politis:
Dico parabolas illas nusquam conveniret vilu
Domonstratio.
DOnacur in parabola D E E ordinacim ad axem D G, linea
GF OCCuEEEHS AB C parabole in C. quoniam igieur la-
cera recca vetiulque parabolx aequalia sune, ex D e lincami-
nOr AG, Foccangulum quoquelib D C a lacereillius rCCEC
minus est reccangulo sub AC _ lacere recco igicur eE FC
quadracum minusi est quadrato CC: de C. punccum cadic
inera parabolam AB C: idem cuno de omnibus punctis ciul-
dem parabola octendi pome, (parec secciones illas nulquam
COnHEHIEO. B5: S. Cs et S. M c t3C1I ∞
Nocentur aurem sectiones cinsmodi, parabole parallelae,
hiuc alymprociex: quarum proprierares religuas, ex miram
cum typerbola incer asympeocos polica, symbolilationem,
occaua parre huiuslibri, extibebimus.
PR OPOSITIO CCCXKZV.
DArabolam A B C cuiuS AIAMCLCF AD,
Sccent ex A demilla linex quorcun-
que AB: quae proporrionalirer dividantur
in C.
Dicopuncta A, C, E esse ad parabolam.
Demonstratio.
Veantur pec Llinea D C. ordinarim ad dia-
mecrum AD: crunc isivr D C lincE b PTO
portionaliter, quoque in P divilx; _ VE DC ad
DC, AICD E ad D F. PunCtaIBITUT A, E, F. cad Pa-∞)
rabolam CUnE.
c
PROPOSITIO CLLANaI
Sco ABC parabole diameter A D ad quan
Lsordinarim ponacur DC; demitraeur aurem
ex Alinex AB, Occurrentes C F diametro in F;
quam ee acta per A contingens, secer in FI. dein
per B, ordinatim ductis FB, Rac veHI F. ad H L,
SIC F C 2d F(7.
Dico AO, esse ad parabolam.
Demonstratio.
10
di
Su
BIVG
TTF ac LLL5AC LB au LD. SCUMHIEAdIIE, SICF C+
ponicur ad F C, igicur est FOad FC VeF B ad F B, vn-
deo puneta A, C, C ad pacabolami (UNE.
Voniam eam FB, AIL quam F A, HP parallelX
Llunc. Similia sunc eriangula A F B, AHF; quare vE
8. hri v.
C 119. ha
d32g. ha
te metoton2131213262718 9 20 22 329=34 333C7 30