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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 557, page id 1815201908:0614
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=614
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 66 lines, status machine
# Lines: 66 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.
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# After the first blank line: the recognised lines in reading order, one per line.

REot.
tt
l 2.
Triim
AD,
IuI
DR
il3.
B1
uit
ata
1a
OH.
BC.
10.
ites
10.
ces
d
HX P E R DD L A.
ER OPOSILIO ALIL.
HMerI COIUBAEX, sectionum CoMlugatarum quarum alympEOri
reclumconituum angulum, aquales tunt.
detonstrai
angulum Formances rectum. 11
ponantur aurem diamerri l
quaenis coningate L O GM
dico illas incer se aequario
AUCANEUT PEF L _ M cOn:
ringentes OP, OP, convO.
nieneillae cumrna alympeo.
corum in eodem i puncto P.
quoniam isicur angulus
OcP, perhypochelim re
aus cst, e OP contingens
in T bitariam diuisa; puncta
O. C. P ad circulum TunE.
de rectae L C, PL aequales.
est aurem L P aequalis OM
perpraecedentem, xquales
isitur (untL C, GM 2dc0.
quc ee illarum duplae. Ouod
exdc demonstrandum.
eROPOSTTIO RLIII
Aca hyperbola diamerto, illius coniugacam exhibete aamecrum.
Constructio es demonstratio.
IE ABC hyperbolae diamerer D B, qua bitarial
divisa in E POnAnCAF CalyMPEOCi GF, F FL, d per
Bcontingens Ci FT, perueniens ad symproros in C e
EI. Poleaque ex FY lined FTI, parallela D B, duca.
FUT PeF B delta BF aequidistans GHI, Ocourrens
ETT lincae in P. dico D F Paristacero pecirioni: de-
monstrano manitetta eAt ex precedenci propoliriono
(ABCAnE ABC, DRF
coniugaca uy perbola
a(yMMpEOtOS OOL, OV
vel exg0 huius.
LtotE alit
Adcomaechs aIaMCTTOTu COMIUSA
carum cerminos, asymproro xquidictat.
a Coroll. 3g
nius
e
Demon.
11I
 11   t e e i lll. 1