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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 321, page id 1815201908:0378
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=378
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 46 lines, status machine
# Lines: 46 recognised, mean confidence 0.72
# 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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D
oc
la
pel
EL L LLS I5.
Corollarium.
A re quicur cdco quonis crianoulo ilolceli A B C commente dd vereicem, an=
gulum quemcunque, describi posse ellipsim cuius foci sinc extrema baliscriar-
ruli dari ABC. demonstracio pacet ex proxositione.
PR OPOSITIO CXLVII.
Vper AC linea descripra sinc quorcunque eriangula ilopetimetra
DABC, AOC.
Dicopuneta C, B, B ele ad eandem elliplim cuius poliline A d C.
Demonstratio.
DRoducacur AC rerimque aequalicer in D
e F; VEcOc D B Sic ∞. qualis duabuS AB,
BC, tum per puncta D, F, C ellipsis deseri-
bacur. dico illam cransire per reliqua puncta
B, B. sin vero; transeac supra vel intra B. 2C
primum supra per punctum F, producta CB
donec peripherie occurracin F, iunganEuE AP. quonaL Pa alM.
Pum sunc, cuiusa poli A _ C, CrUNE A CC, AF C criangula b Hloperimetta: est feavr ox
cedent
aurem AC C criangulum per constructionem iloperimerrum criangulo AB C; isi b Pates ex
cuT AFC, AB C criangula sunciloperimerra. Quod hcri non porest. quare D C F, 121.
ellipsis non eransic supia B, Ced nec intra B, cadere eodem modo demonstrabieur.
ereoper B, B punctasipitur C, BB sunc ad ellipum cuius poli sunt A, C. Quod exap
demonarandum.
12SSAI
es e Bitrc s.llti
13. n
te nor cr c
illo B1. c01a0 et meta
tch
ei (
atl1
.
de 1BEII
te eedie 3
CeBIBCI
c1ta des Bs e
 31C AE BWICq 3022 ∞OLE. WE.LI
In ceritus
Et eseces arpilor
L1c
e no iminiunet: