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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 235, page id 1815201908:0292
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=292
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 41 lines, status machine
# Lines: 41 recognised, mean confidence 0.91
# 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.

AD SF C FIOHLS CONI
Duoniam igitur quaciracu NO
aequatur quadrato NI, hoc est
rectangulo BNE, crunE BNF.
NO, NE LECS COnTINUX. An-
ulus igicur BOP rectus cAt.
Duare cum criangula BOF,
BDF liper eadem basI BF V-
craque sincrectansula; e viius
nempe BOF alcicudo NNO mi-
nor lcalcicudine alcerius D L, P2-
cet alcerurrum V laceribus BO.
OF maius elle alterius crianguli
lacere BD, quod idem est cum
aXC coni. AE lacus BO maius
axC BD: cricq; hoc mhilominus
minuslacere coni BF, liueBC.
Duoniam igitur lacus BO maius
est aXC BV, dminuslacere BC:
inEra COnUM aptari POTCTIE CX
puncto B ad diametrum AC,
recta AC aequalis laceri BO.
Factum sic, _ ex G ad B G nOr-
malem duc GF _ iunge BF.
Ouandoguidem anguli BOF,
BGF recti luNE, quadraca BP, BF quadraris BO, OE; BG, G Faqualia CUnE
sed quadraca BE, BF aequantur, aequancur isitur quadraca BO, OF, quadracis
BO, CF. Cum isicur quadraca BO, BC ob rectarum ex constructione aequali-
eatem, sine aequalia, reliqua eriam OF, G F aqualia crunr. aequancur isirur recta
OE. C.F; in criangulis ergo BOE, B C. F lingula lingulis lacera lune xqualia. Prgo
ipsa quoquerriangula sunc aequalia. Requirriangulum per axem BF. D ad crian-
gulum BOF. eandem haber racionem quam normalis DdI ad normalem NVO, hoc
est quam DI ad M, hoc est quam K ad I: ergo criangulum per axem BF D 2d
criangulum quoque BCF rationem eandem haber quam R ad L. Exhibuimus
erxorrianguloperaxem, etc. Quod eractaciendum.
lROEOSEEIOaCI.
Aconorccto crianoula nonperacem alcla, uocula valeo il coctu
puncto se incersecant, habent perpen diculares ad bales e verrice ductas,
in peripheria circuli cuius diameter eAt rectainter centrum balis conica
ex punctum incerlectionis inceriecta.
Demon-