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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 639, page id 1815201908:0696
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 56 lines, status machine
# Lines: 56 recognised, mean confidence 0.80
# 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.

D,
ib1.
15X.
tati.
sulis
RC
olam
sPet.
b0l2
erunE
Ccet
DB.
ectis
B re.
sDetu
verla
C, 1C.
adeg.
DF
DB.
DluuI
atu
AEY PER BO L A.
eROPOSITIO CCIY.
Irculi ABC diameeri sine AB,
ACD, Eele decultantes ad angulos
rectos. Fiane deinde contingencibus
FF, IG ductis, (ex linea AB, e C D)
productâ aequales lineae ER, IFL pa-
rallelae diameeris AB, C, D.
DicoDK, B Hllectiones esse coniu-
32C45.
v Demonstratio.
Vm enim BRK, BHEE lyperbolX
ostense sinE prOP. PEaC. haBenEES laceF2
EraNCVErTa AB, C D, quae aqualia TUNE inFeF
sc; de pracerea quadrara PR aequalia sinE
quadracis III (A BL, d D F aequales allu.
ManEUE) manifectum est eas esse sectiones
coniuxacas. QuodEuie demonstrandum.
PROPOSTTIO,CCV
Vadrancem circuli AB C continganEDF, duCanEuF autemI per DD
parallelaBC, FCCEX FD C, quae lint aequales, BF.
 Dico C.C essead hyperbolam cuius alymproci lune AB, BC.
Demonstratio
1e1.
CIC.C.
139
DEx cenerum B Bonantur B D. GUOniaM CONFInSENEES TuNEL D, d B D peF Cen-
trum actae, isicur angulus B.D B rectus es, quemadmodum ex anguus et
quare quadraco BD xquale estrectansulum L B F. hoc est per hypochetim BF.
inde aequalia suncincer se rectansula B F Ci. constatisitur GC cMc ad a hyperbo. ius
lam, cusus amprori sune AB, B C. Ouod tuic demonstrandum.
5 46. ta.
MIM MMHI2
PRO.