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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 615, page id 1815201908:0672
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=672
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 52 lines, status machine
# Lines: 52 recognised, mean confidence 0.76
# 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.

poui
ilio se
tur et
Vt Con
Faren
Perre
vereat.
geretur
eratib.
AB.
Bro
A
sidium
tus
onci
eu
et L PBR B
eR OBOSTFIO CLZIU.
Onancur denuo AB, BC asimproci veprius H, OOIa LF C: quas
varabolae B F. B, B C D condeniences in D, lecene in punctis F, C:
FOL HLFI, OR.
e agacur BD occurrens sectioni in F ee demirrancur parallelae alympto-
DICOFFI, FI, CR, Fore in concinua proxorciore.
EK ad NC: ad eoque segmentum MC  up est lEotenei C: R NY C: CI2G. h1-
Z Acio DC ad GK, a duplicata estrarionis C B ad BK, id est B C R ad NC;
Lsed MO aequalIS est DC, rariO igITUT MO ad GK, duplicaca est rarionis 6, 1.
quiR verO M O FH, GR N C proporcionales sunedrario NC ad FHs primae ad a g. hu-
cerciam, duplicara est racionis F. II ad M C. cercix ad quarram: seomencum ipieur ius
EFIHC e duplum eA segmenci MO R HL3 dempro isirur communi segmento 
29. his
B FI GK MANCESEOMENEO MO F FI aequale segmentum GKN C. Rursum quia
NE, EL, DC, id cA N C, F L, M O ProporIOnAles suNE, SCementuM MOFL Cx~ 10)
Eaquale es segMEnIO FLNC: dempeis igicur aequalibus segmentis MOF HI. buinsi
CKCN. aequalia sunclcomenca PLOK. BHP I: inde F H, F. Y, C. K proporrio
Males luht. Quoderat demonstrandum.
Fariam per BD
ore
11
O OLX
Idemposirisiungantur EC puncta linea P. G, secanre B D lineam in L.
Dico EC in L. bitariam elle diclam ab e sesmencum L. LC bi
Demonstratie
Vcantur enim ex E, F, C punctis paralleiX asymproto A B linex R. HI, F I, C R,
cruncs illae concinux proporrionales; ac proindeh segmenea concalla L. LL LF, 5174. hu-
CA F. F, F C aequalia erunciquare linca F es ordinacim k applicata cit aa alamectu ms.
BB, ac proinde in L divila bitariam. Lam vero cum B L, L C aequales sinc baleS, ex i106. hu-
P E Communis alecudo criangulorum FF L, L F C, illa criangula xqualia CrUME, AC L Ex con-
proinde seomenta cota RFL. L F. C requabuncur incer (c: quare P. P sa s
bitarium diuilum cA linca BD.   uctabe demonttrarida.
FTK C aequalia: quare s connectantur F F, F C puncta, conuexa quoquei sermen- nioz hu-
n
   pa u etes ut t ee t u te ett te ta  e ta et i e et . det at  ett e t sa  st  site d e  e te t ut e it t t  t         e  ste  i  u