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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 455, page id 1815201908:0512
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=512
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 75 lines, status machine
# Lines: 75 recognised, mean confidence 0.78
# 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.

AC,
AD,
per L.
peret
d. PA.
tan.
AD
DB
5 led
E, Id
vicur
in.
1M-
a-
F
est
ra-
est.
In.
i
12
D.
1C.
PA R A F
Demonstratio.
Vngc punaa T,R, et F C peodi
aa in O, Per GduC FMPHI Paral
delam ad KB X IK. Duomam eam
TL, OF, KN, quamTK, FET sune
parallele, etic quadrarii 1O ad qua-
dratum OK vE quadracum MC
2d PC quadracum hoc Cst VE FC
quadracum ad CFT quadricumide-
inde: A C quadracum est ad qua
dracum F C vE L T ad MIL, hoc cs
vE NR ad PK:
hoc est re quadea-
cum DB ad quadrarum GFI. erso permucal AC quadratiim est ad quadraciim
DB, re qua deacum F. C ad quadracum CFI, hoc elt (Ielic ance ostendi) ve quadra- Bigrtiu
cum IO ad quadeacum OR. Aequi brectangulum AL C elt adrecan BL. D inde
requadracum IO ad quadracum OK, Ergocciam redtanoulum A FC cA ad re
ctangulum B E. D re quadearum AC ad quadrarum DB. Pacrum ixicur est quod
ecedacur.
PROBOSITIO CCKII
Acam rectam AB diuilam in C, icerum lecare in D; verecransi.
lum BDC aqualc sic quadrato D A.
ta
rium.
in
nini
Constructio  demonstratio.
quod pericur.
males, quarum vna P. C SIC magnI.
cudinis placile, alceta H intinca
Deinde per puncta C, G, B, delcri-
bacur parabola axem habens P. C, d ∞
Occutrens ipA DFT in FI. Rurcum
perpincia AHTL descripra incelli-
sacur parabola axem habens DFI.
poceruncaurem F C, D II axesesse
Parabolarum; cum ambx ex constru-
ctione rectas CB; F A ad angulos
recros bitariam secene. Ononismipicur ex Construcriohe AF, CE, F F. sunc con:
tinuxs colligitur ex 167. tiuius parabolam AFIF cransre per Cveriicem alterius
parabole. Ergo pet eandem illam propolicionem BD, FD, CD Iunt continux. Ccd
FD, AD dequalessune ex construcrione, ergo BD, D A. CD lunc concinux: cr.
Boreccansulum BD C aequarur quadraro D A. Quod eractacien dumo
ZIleca CB in F, de Hac ve A F. 2d
CF, ica C F, ad F F. deindc A F
eriam bileca in D. Dico Faccum
ex Pacteus F. dc D etBC. AB1.
R O.
A     tet t tette a e t t  t    e t. . s a.  . ue
i
q i e .