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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 487, page id 1815201908:0544
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=544
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 86 lines, status machine
# Lines: 86 recognised, mean confidence 0.75
# 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.

AC
rendo
EI
BH
ABC
Eerie
Et
Pa
oBH
GH
ndl.
ltem
eam,
20
D3
: 
one
ales
um
um
lam
est
rd.
tan
erat
P A R A BO L A.
L H ad D F, vEF B ad DC, rectA HT BCH Ad FC, relquum ad reliquum veFTT adD F.
teuraisicur H C. B ad lBC. lisuram, crixlicacam habecrationem HB. 2d fC. 10+
crat demonstrandum.
PR OPOSIFIO CCLKKKIE
ScoABC parabolae diamecer BD, recunque dinila in D _ F, SICVE
neoCBD Cic aequalis laceri recto diamert DB; a per L. dD
OTAMTALILS POHIEIS AC, F C7, describanEuT PeF A, B, C, _ F, B, C, puncta el.
aptes quarum colingaca linc diametri AC, BD, FC
BF.
Dico AB C parabolam essc ad parabolam FB C, VE AB C elliplis ad
CMplIM FBC.
Demonstratio.
Vnganeur ABC, FBC; vE ABC criangu-
Lium ad crianoulum EB G, SC A B C a p aF 2 -
bola est ad parabolam F B C: scd e ABC elli-
PlS est ad ellipAM P B C, VE ABC b erranGU-
lum ad criangulum PBC; isitur re parabola
AB C est ad parabolam FB CF, AC A B C.
Duod etde demontratium.
DArabolam ADC Tuotendal recta quaeuis BC
L delcribere parabolam qua ad ABC. palaveram dacam habcacra-
tionem Fad G1
nite
113s
Constructio es demonstratio.
luita BC bitariam in D, crigacur diame-
teF D A, quae dividacuE In F, VE AD SIC 2d
DE licuc G Cst ad F; cUm peF B. F, C puncta
Parabola describatur cuius diameter sc D F, d
ordinacim ad illam applicaca B C. dico factum
esse quod pecitur. Ouoniam AB C, BF C Para.
bolecommunem subcenlam habent BC, Para-
bola BF.C, 9d ABC, Parabolatm eA, ve D D c ti-
nea ad heam A C id ett BE P 2d6. dcum
.110
PROPOSITIO C
+0
240. h1
ius
B Decllipsi.
luper illam
X
ROFOSITIO CCLXXXIV.
eerisnaitore e
earuc
laci pa
EE CASLHBNE). ED enRHhiBa WIMA 1
B9io
l
t  Sed CM etC
 C s ott
 Si S E Oc
rigica
1113
clot
 s estrica et
1
Sto AB C parabolae diameter A B, CuI vecunque In F. _ D, _ Or-
Salal Pola Be, CD. Ilaccet a LC HIparabolx diamerer FI
vecum.