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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 589, page id 1815201908:0646
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 50 lines, status machine
# Lines: 50 recognised, mean confidence 0.70
# 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.

3H
REUE
lH.
cian.
SFB
GA
6.
Te
que
d
u-
que
Vt
sed
A6
OI
dOr.
per
am
AL Y P E R B OL A.
ROTOSITIO CxVI
Ecene dua D, es Pacamlae hyperboram ACB, de iunGAEuT AD.
cui Rac aequidistans C F. POnAEM GHE AF:
Dico ACF scomentum, segmento C FD aequale esC.
Demonstratio.
VnGAnEUIE A C, CF, FD; quoniam AD ipS CF agadistac: seximencum ED
sesmento AC. xequale cst. quia vero rriangula L D, A C D, camdem haben- a 11y. hustis
eia alcicudinem _ balim, ae qualla lunes ablaco commumt A F. D, aqualia remanene
eriangula AP C, I F D: igitur corum ACF mxlilineum, cori RFD mixcilinem
requacur. addico isicur communi C C FF, extursene aqualia sexmenta AC. C+ F)
e CCFD. Duodtuic demonctrandum.
PROPOSIIIO BAMI
Inc in hyperbola, sezelca alscalia ABC, BC V. luratuque
2.D, BC.
1d.
Dieo AD, BC lineas xquidictare.
1.
onpratio.
1
23C
ia  .15t. B .
enim AD non aequidistac B C, PONaTE DF pAtatICIa B C, et LUINGANTUE
DCF. Seomencum igitur EB C, b aequatur BCD scemenco: Sc d ex suppolicio- B i+. hu.
DDesmento aequatur lcgmencum CBA, lsitur _ C B A scgmento, X- ins
quale exicticlesmencue Den Palscm uuntequ; aleteu a
ces BC, AD. Guodtuerac demonstrandum.
PR ODOSITIO. CXV. 1
hcohypetholae scemento conuero, ex daco in perimerto putietore.
ctara dUCCFCs quae lcgencum autetat, daco aequale.
Con