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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 1178, page id 1815201908:1235
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=1235
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 54 lines, status machine
# Lines: 54 recognised, mean confidence 0.88
# 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.

92
a
BPcI7.
Parab.
OV ADR A TVR A CTRCVLI.
rcta enim AC ordinatim ad qvet
anc lincis FD, FG aequales lince
NL BCVESinc ad argulos rectos ac
erit itaque ANOCs parabol2, e
uidem aqualis patabole A H B, cum OM
nia quadeata OMI. N L aequalia sine qua
dracisF D, FG, _c. Igitur parabola A F B
ductainse per diameeros ED, EC aqua
lis est parabole AOC, ducte in seper dia-
MCETOS OHIS NL. Incelligacurigitur dia-
Meter FDM Bitariam dividere lineas
AB, A C: productaque D B ad tangentem
BO, eric bF D aequalis RO; isiturs ex L
ducacur ordinacim P R 2d axem BC, erie
BK aequalis OF, hoc cHt FD, hoc est
OM: Ced _ linea F R aequalis est M C, vel
MA, isicur P BK parabola eadem est cum
parabola AOC; sed parabola P. BK in le
ducta, creducta est ad corpus rectilincum
ei aequale, isitur de corpus ortum ex (u-
Perticie A F B ducta in diametros F D. FC
reductum es ad corpus rectilineum ei x-
qualc. duoderacdemonstrandum.
eROPOSITIO LCII.
ABD, cuius diamerer BC, ad quam ordinatim PONANEUTFL. FIanE
vero rectis FF. aquales
FH in cxlindri superticie
de IUIRBANEuT P H.
Dicopuncta BHD eL
sc in eodem plano cum
recta BF. D.
AYlindriparabolici ABC D, basi inscribacur maximum criangulum
Demonstraiio.
quoniam FHIin superticiees.
lindri ducte lunc, isicurecialle
incer se aequidistant. ergo cum
EF, FHI equales sincincerle,
criangula F FHI similia Cunt.
vndereFFadB F, ica cAFP II
ad F FI. quare anguli PHIF
incer se aquales (unc: unde li-
nec F FI, lunc in vno eodem-
que plano cum recta B F. D, ac
proinde e puncta B, II, II. D.
Duoderatpropolicum.
PRO.
Voniam XF ordinacim
Policae suncad B C, isirur
incer se parallele lunc: vicerius