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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 567, page id 1815201908:0624
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=624
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 77 lines, status machine
# Lines: 77 recognised, mean confidence 0.72
# 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.

lum
C6
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CM
ria.
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SN.
e
vid
ales,
(uH6
HY P E R BOL
PROPOSTEIO EXVI
Nomnihyperbola diamiecet pean suet (a eiulque comuesad et rectum
Lfsurx lacus lunc in concinuranalosia. L 
AMME 15LO
Ai Demonstratio. WebeD CLT 
M 23ETLBLIC
CIchyperbolae AB Cdiamotor eran (. iI 1
verta, DB; eiusque ConTuTAEA E F, _ B L CLLIII
lacus rectum B G: FOPOEEOE deMONAEAFO . INL SMI
eria hec ere in continua proporciono a(nol se
sumpro in asimpeoco NL quonis puncto
F ducaneur L A, L M ordinacim ad dia
InCETOS DB, E F; producta deinde I. A,
occurrat elim recta D, G, in K. Fect angBlEIDELII
isicur DIB ad F, O F rectangulum cturso J
ve DB a quadearum ad quadratum F Fs
scd F OF rectangulo b aequale est qua3209)
deacum A13 Id est rectanouluti BPK ScL este
(quia rum BC lacus rectum est, cres B I 13L ∞11)
TA, TK cproporcionaleS LUINE) isiEUF _
DIB ad BIK rectangulum estu (DEDB
quadracum ad qiradeacum F F: est aurem
ve DTB rectursulum ad rectangulum )
BIK (ic DI lines a 2d lincam, LR, id
est D BadB C isicur ve quadratum DB
ad quadracum, F P, Ac D B linca ad linrr uc
neam BC: Sed racio quadrari DB ad
F F duplicata est racionis linex DB ad
s
11
F. F; isicur racio linex DB ad B C, du-. MAn IICSI
plicaca estrationis D B linex ad lineam
P. P: Cuncicaque D E, F F, BC conrinux proporcionales. Ouod erat demonstran.
dum.
ciuteuliup seolssemogor. Corollarium. _en ciconi
MBLB 2BA
Tine maniteste colligirur, l erienur lacus rectum ad pundtum diametri RF, que
estconinoaca diamerri DB, quod exsurgene linca quacuor in concinua ana-
logia, sciliceclacus rectum ad punctum F crectum, cum reliquiscribus, de quibus
pralenci proxoscionemenrio facta cA,
1s2
EL ce il cm. 2
AZ oiragnimom a B R O P O S.P
11131, 11
HO. LXVII.
Rigancur a quonis puncto in alymproco alsumpco, ordinarim ad
diamerrosconiugatas. ot. I b∞ et
i
Dico ordinatim policarum quadraca eam rarionem continere, quae re-
peticurimcer lacus rectum e crarsuersum diamerrorum coniugacarum.
2 (515
aid 8
 
tt
sii uelo
1
dCCCC LSa. L. Demon
hn.
CEXcOm
uot
1
11III
111I