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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 405, page id 1815201908:0462
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=462
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000462.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 57 lines, status machine
# Lines: 57 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.
# 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.

B
d
rie
ad
ve
d
u
l
E
Et
en
P AR ABOL A.
eR OPOSITIO XCIA.
Arabolatit ABC. cuius Cubrensa AC, concinsac KC,
qua lumprd quonis puncto D demictacur diameter DF OcCUrrenS
parabOca  D. PILB AUE Ex C rECtA POnaTuT C F, occurrens erectae
ex A diameero in f.
Dico FA, DF. lineas esse intex
Sca qualcs.
Demonstratio.
de componenao ve AC ad CF, (C
DF ad BF. LHH AC adF C, sC L A
est ad BF, igICUEVED F ad BF, SCF A
2dB P: isicuF F A, D P linex lune b in-
per le xquales. Quoderat demonstran.
dum.
Idemposicis:
PROPO
DicocsoBG ad GF, vE FB ad FC.
Demonstratio.
Drontam F A, DP lineo per praecedencem xquales sune, DF. est ad BF, ve L A
dd BE; id est ve AC ad F. C e invercendo AE ad AC, id est F B ad FC, ve
DB ad D Bsid eAt ad F A. sed ve BD ad F A, BCRC ad  F, ixirus B C ad O F, ve
FB est 2d FC. Quoderat demonstrandum.
DRODOSITTO
IIdem polutis ducatur AB occurrens FDiunctE in H.
DicoD HI, DF E C lincas in continua essc analogia.
Demonstratio.
Si Scenim D H ad A F, id es ad F. D, veD Bad B F, sed veD B ad BP, GC F. D est
2d D Cs isirur DH eA Ad F P VE FB ad P. C. Quod erac demonstrandum.
PROPOSTTIO CTI.
diamerro F. A ducacur ad BD, ordinarim
ABC, Ponacurque F C OccurrenS PaTa
bolx in B a BD diamerto in 6.
Dico F F lineam equari linex FC.
Demonstratio
Vol FBa lelonem ConcingIE, exI
_ P F, F Crectae incer le aquaneur. Quod erae
405
VF AE ad E C, 2 sC DB est adt BF,
Darabolam AB C cuius diameter BD,
coneesca L, demilsaque
F F ad F O DEF C ad F C: ex diuidendo
P E ad FO, HBCad OC; sed F C estaqualis
GC, quia AD; D C linex xquales Cune, igieux
 s Oa dum.
sino