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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 441, page id 1815201908:0498
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=498
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 67 lines, status machine
# Lines: 67 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.

Me
10
Det
et
du-
est
112
erde
EK
vi.
TP:
H-
M.
UF
d
P A R A B O L
P R OPOSEYIO CLXAA
DArabolam A C cujus, diameter
D Concingacin B, linea BL; de
tcriptaqi per B parabola, L, B C, cuius
diametet DE; e Contingens, BD, du-
caturlinca quae eunq: FC, OCCurrCNS
Parabolis in A, _C, F, Cs diamerris
vero in P _I.
Dico A L. Cnrectangulum, a quart
rectangulo GD F.
dicla
E.DFs Cpreporcionales suc
adcoque AP C rectangulum aequale qua- C
deaco PD: sed F D quadraco aequale est
babid.
brectangulum ODF, Fectangulumigitur A B C X quale eB rect ansuloOD F. Ou0d
erac demonstrandum.
ROPOSITIO OLXZXI
Demonstratio.
Voudm. RD Intea ComII CnS ell, le.
aqueC ponatur in ABC patabola ordinatim ad B, linca ADF, OC.
currens ectae B C. iltet. _ per C recta axacur HII parallela BD, ocCur
DicoLS Hrectangulum este ad rectaneulum F C, A, ve quadcacum L.P
ad quadratum ED.
IIdem politis: occurrane sbi parabolx dux ABC, C BFI in C. iunia 
rens diamerro BL. inF.
Dehancur ex C ordinatim ad
diaMetrOS BD, P F, lince
CR, CI. quoniam BC, B C P1
rallelogramma communem ha-
Demonstratio.
bene diamerralem BCC, vE
CF ad GF 3 sIC KC est du
OD; sed ve C I. ad G F, AC
ID quadracum est. adc qua.
dracum GF, _ vE CR linca 24
lineam CD, sicF. D quadrarum
Mtad quadrarum CD; isicurve
Ct quadrarum ad quadracum
BL. ACFD quadratum est ad
quadracum GD, ee permuran-
AOve TE quadracum ad quadra-
cI SD, Sc quadracum C P, 2d
quadracum CD. estaurem qua-
Macum IF aequale quadeato
CF. rna cum rectanguloTO FI;
e FD quadearum aequale qua-
deaco C D. Iha cum rectangulo LCrHL, IoItEd lCHI
oum caarcuat
ulum F C A veL E guadeacum ae quadtatum F D. Euoderac demonllcandnp.
Ae .  u t t   e i ut de tat e e    a e st   t si t