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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 597, page id 1815201908:0654
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=654
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 40 lines, status machine
# Lines: 40 recognised, mean confidence 0.75
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

Ple
dec
Palo,
ines
TeY
Dm
ais est
UI
ATY P ERBOL A.
rest cum D E F C quantieas maior ostenCa sic quancicare NY O F Ct: Igitur ratio D 
ad FC, non masismulciplicacrationem FC+ adFIC, quam planum B LL ( COn-
einec planum FOII C. Eadem plane racione octendicur, planum D L LC non la
pius concinere planum FOHIC, quam rario DE ad LC, mulciplicat rationem
EC ad FIC. Planum iBieur DB F C coces contiec planum FGFTC, quories ra-
tio DF. ad F Cn mulciplicarrationem F C dd HL C. Ouod crac demonstrandum.
PROPOSITIO CXAL
il de alspcoccas pclbolae de Ponalicut pacallela alympio.
e, CM aletentes legehta aequalia HE, IF.
C, LC
oao D TE LF, LC,MC elle in conrinur analo51a.
Demonstralio.
Acio enim DHI ad TE, cories mulciplicac rationem YE ad MC, quories Tu.
Simulucer rario lE ad MC, ocennu ene chplicata lacionis RL ad MC3 Igieur
.nt
perhcies HIF. concinetur in luperticie PC. Sed superficies ITF cA quarta pars, 
125. e9
verbi cauta, plani ITC isicur rario LTD ad M C quadruplicaca est rarionis IFD ad IF.
racio TID ad IR, cl Cane C Tactone lF. ae RP. LBdCM PaCIO SCMOHHTA.
cur, rationem IP ad R Fis osse caem cum latone RF aa L 6. d l C adNC
etur concinuant eandem rarionem lincae lD. Len lb LCMC. Quodtuicde.
LLOOdICI aLaI
onttranducu.
Inea ABC. ica diullat  ff retatio AB ad A uu
plicara licrationis eius, quantabet AC dd AB; a AC ad AV.
duplicata rarionis AD ad l  a pICata AL ad AL,
ita deincepsin infinitum.
Oporreachuusp   GtatE.
2c
onstrt
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