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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 418, page id 1815201908:0475
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=475
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 58 lines, status machine
# Lines: 58 recognised, mean confidence 0.82
# 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.

bEX cle
enein
DC. OCCUETAEFL rectisMI M. 10.
niam BC ordinacim ponirur ad
axem DEi recta BC in P, bissecta
est, e BF, F. C linexe xequales lunci
bnde D Capacabolam in C concin-
Bic. quia vero B punctum in peri-
mecro circuli est, punctum quoque
C. b in circuli est Perimetro, e quia
DBFI angulus rectus est, angulus
quoque DCHTrectus CstC _ DCII
nea circulum concinsic igieurreFB
quadrarum ad quadrarum FB, hc
F KM rectansulum ad rectangulum
FKMI: sed cu F B, C M linex para-
bolam quoque concinsane, VE FD
quadearum ad quadracum d FB sic
OF L rectagulum est ad rectangu.
luni GF E, reliduum isieuF recran-
Bulum C. K Iad C K Ireccangalum,
cA ve quadracum LiB ad quadracum
FB. Ouod erac demonstrandum.
ROIOCAaA
Adem manence HoMaH X eL linea maiorhe dimidio lareris recti.
Dicocirculum BGC Palabolam incus in duobus punctis con-
cingeie.
Cr2s. hn-
int.
dem parallela. quia AFT maior est dimidio laceris recci, cA FI, linca maior est
B FI ex circulus BO C cadicintra A. deinde ve OB quadracum ad quadracum SB.
F87 huins. sic F P O R rectangulum ad reccangutum TSX: sed est quog: ve quadearum OB
36. secundt
n 161.
ad quadearum SB, sicquadracum OO ad reccangulum V SX, isicur P OR rC.
crangulum adreccangulum TSY. reguadrarum 09) ad rectansulum VSX. 
permurando converrendo re quadeatum OO ad rectangulum POR, sIC VSX
recrangulum ad recrangulum TSX: sed OO s gliadratum inaius est recrangulo
POR, isicur e V, S X recrangulum maius est reccansulo FSV: vlcerius, recran.
sulum TSY vna cumhquadraro FZ. aequale eA quadrato SZ, est zurem e qua
draco SZ aequale reccangulum VSZ. una cum quadraro,
quadracum
isicur V Z rna cum reccangulo V S X aequale est quadraco T L, vna Cum ReCEaN.
sulo TSX: octensum aurem est V S X recransulutm indius eserecrangulo FSY,
quadracum igitur V Z. minus est quadeaco TZ s quia punctum V cadic inera pa
rabolam: Crmilicer ostendeneur reliqua omnia plinera perimerri circularis BOC
cadere incra parabolam, prarer B, ex C: circulusisixur B  C parabolam intusia
duobus contingic puncris.
ei 0 3 1.
enslatto
DOnacu per O linca ODR xGas DCS e era quXnis SFV XY el.
ROP.
5
e
Daro in axc puncto circulum delctibere qui Palabolalut untusm
duobus punctis concingut.
12t 1 c115. 321113(5 e 1113B
puperioani:d sui 3lodare, on Eapusica.