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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 256, page id 1815201908:0313
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=313
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 27 lines, status machine
# Lines: 27 recognised, mean confidence 0.84
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# After the first blank line: the recognised lines in reading order, one per line.

1111I
F. L. L LL 5L5.
lipli vero in A e C.
eR OPOSITIO XXII.
Ir AB C ellipseos diamerer D D ad quam OrAIMALII POMLA IL LF,
ducanturque ex F. _ LMlea occurrences diamcero in puncto (1, el.
Dicoiunctam AC, aequidictare F F.
e
Demonstratio.
DOnatur AY paraHlela P. F _ producta OCCUTrAE F C linex in C. quoniam igi
EUx FII aequalis cA HIF, eric ex AI ip( IC aequalis; scd quia AI xquidictae
BF, eric BID rectangulum ad rectangulum BHID, ve AT quadeacum ad qua-
deacum E FI. Eroocciam, verectangulum BTD ad rectangulum BFTD, ita qua-
dracum YC ad quadracum IIF. inde punctum C est ad elliplm ee communis in-
cerlectio rectarum F C, AI cum perimerro BC F; ac proinde A C iungens pun-
ata A, C, aequidistaE P F. Ouod erac demonstrandum.
PROPOSITIO XXITI
Nellipsi ducta sint para llela AC, E. P, per quarum cerminos ducan-
LEuF E A, F C cocunces in C. et per C ducta C,IH bilecet paralle.
lam AC.
Dicoetiam alceram bilccari.
Demonstratio.
FHL ad AL, ve HF ad lC. ergo permucando LHl ad HIF, ve AI ad IC.
scd AL, TC aqUanEuT. CrgO _ P FI, HIL aquantur, adeoque cam AF quam 
sunc bisecta. et BO C TH diameter CA. quod erac demonstrandum.
YF HG ad LG, sC FH ad AF, _ vE HO ad FG, lIC PH ad CT. cr00
(   ee  s    u se  te  s p.  i 11  e1        .  1 11       p    pie