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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 807, page id 1815201908:0864
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=864
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 36 lines, status machine
# Lines: 36 recognised, mean confidence 0.78
# 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.

LN P L A N V NI.
R OPOSTETO CLXZI.
FCA B axis parabOlx A C K, ee ad illuncordinarim applicarakE B; D eF -
CF e parallele adK B.
Dicoplarum CC ductum in se aqua e HCA CD.
607
fecto nuremrectangulo AB IS, ductaque AR, hanEC F rectx aquales
Vemontari.
CF creoeriam bF C, F F.Hu C.   Concinua Suneanalogia. Frgo quadrat v.
ea CC aequancur rectans uts C, e D. L1CC C ductum un le xequatur LiC dus
n9.
InCa OD, CD, E D sunca propoetionales: luneaurem O F aquales differentiis 243. pa-
inCB. Luodccac demonttiandum.
C 45. tuins.
EADEOSITIOLLALII
IIdem positis:
DicoF. D platu   ascaL. C ducto in le.
Demonstrat.
Froniam F. D, C: D, E D proportionales Tune, _ F C differentiis aequales po-
LHaHEUE FG; reca GUBGACAF D, C Es F C propoctionales sunc; rectangula igi- + 9. Proe
TUT PC, F. D xequancur quadratis CE: quare F. D planum ductum in CF c X quI2- c +5. huius.
cuF L C plano ducto insc.
R O P OSI FTO CL XXILL is
Anencibusii (de
Dico C ductum u a  lateopo a GuteM
nicudini quam esticir ncas luperticierum (iC, _ C. D in le ingicem.
Demonstratio.
Voniam eandem rationem concinuane rectae DF, DC, D Ci; igicur quam rario-
Lnem habene D C. lincae ad C F, eandem quoque habent D C rectx ad rectas
CC. quare DC, GC rectanouta reclalsnse Lauactde. LbC L3
supeliies inFalcicudinem  Maala, Parem exhiber magnicudinem illique t46. hubus.
producicur pel auctum imdchum platiorum CC, CD. ODuod erac demonctrandum.
L2d likl 
2
      det  ae    ut mu
 ae pers e  tit tte t et  ate i   ta  ti