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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 625, page id 1815201908:0682
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=682
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 91 lines, status machine
# Lines: 91 recognised, mean confidence 0.71
# 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.

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bert
IIIIII
TLX, RE,K B OIL, A.
PROPOSTTIOICLZXX
Aeas auas tryperbras clettae Mae ullinis axes habenres, reducea
Constructio es demonstratio.
TABEanE ABC, P F Chyperbolx in-
aequales aXes DB, HF; oporrec ad
axium AICCrUErUM, puca ITF appliCare
hyperbolam similem A B C. ponaneur in
ABC hyperbola ordinacim linex OT.
M V, A X1 _ DB, DF, DV, XC. lincis,
proporrionales RanE EI F, IIR, IIS, TIZ:
ponancurj: ordinacim in hyperbola F. F Cm
LinCX NR, L S, F.Z. deinde AANE BR,
5, IL. linex proportionales OT,MV,
A Z: quoniam isicur HZ linca in F, R, S
diuita cAveD X in B, T, V. X. Pacer recta-
sulis DTB, DVB, ec. proportionalia
esse rectangula HRF, TI SF, Xc. scd
DTB, D V B rectangulis proporcionalia
syncquadeaca OF, A V, AX, id est per
cottructionem quadraca PR, 5, 1Z, qua-
Srata, isicur R P, O. 55 IL proportionalia
sunc rectangulis DT B, DD B, ac. id est
HRF, H SF. XC. quare puncta L. O, P ad hyperbolam lune cuius axis HF. Guu
aurem ID P hyperbola similis sic AOB: sc oRendo inrellisaneur iungi punaa
OB, AB. MO, icem D F, OF. V P. patet ex constructione triandulaO T B, H VB,
icem OB similia esecriaeulis P R F. OSF, O PF quia exiildem racionestra
benccompolicas: quarc clim operacio illa in veraque hyperbola sinc rermino coricis
nuari pollic, vehoura omhestisperbola ABC inscripex, similes inc sguris inscri-
pris hyperbolae sF. R, pacec ex Aectimede AB Ct F. K hyperbolas esse Limmilos. Ecci.
mysigitur, quod exat poltulacum.
est 1135.2tBB LMM sit
sio Et e CF sese S3O 1 11MIBIMS. ..
molugi Ro 1OD. F R O, A 55)
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erbeup OC) 3uit et C) arerbeur ba YG) reibeWD Sit 1O
13 10l1esi
IA cartonci
eter an B ls
Acis alymprocis, exhibere typerbon an usiviBu Ou it
lam, quae perdarum incra alym peo-reiuo. A S us MO3 LoNiEN
eospunctum eran leat. . I~ amasgnimo eligurm
 et ermenLM
loctroqui
nC ma Constructio es demonstratio. eie
35C) _ CMEZG ZVIGL ABA
dAc sine asy pcort AB, BC, d Irerq i1I2S
punctum D. oporret exhibere hyperbolam,
quae per dacum punctum D cranscac, PonaturDer.
Id linca AC, perringens verimque ad alympro
e
stan
(1r: 11etES
il etst s er FeI
c05, aquae in 1 biffecta scs illique aquidistaris
DORACHT, CH: e CD quadrato, aequalia hanc
rectangula, CFi FB, C F. H; erunc F, D, F b pua
Ae
311
etaa thxperbolam cujus ovprocisune AB, BC V Mna E c carvp cusloc.
2. 0∞B c_SLABB  ereL.
docis ipicur alymptoris, ecc. yoderac faciene B. upoup elodrgri it
dumruhisin t 3123 bat 1.3. .locl3qe iuisi ∞Ch. D el A 3locl12y, 10401t. L1d
1III
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S. A3 MIOTiCI
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