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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 319, page id 1815201908:0376
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 39 lines, status machine
# Lines: 39 recognised, mean confidence 0.90
# 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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e
lis
E L LIPSIS.
PROPOSTTIO CXHIIL.
Aca curtum Cic elliplis axem ha-
bens AC, polosD, O, in axeCU-
matur punctum E. inter polum D e
verricem A, ex quo ducacur ad peri-
mecrum normalis axi EB: d quoc.
vis alix FF, quibus aquales AanE
GFHI axinormales.
Dico lineam que per puncta LI de-
Ecribicur hyperbolam esse quae ellip
sim arabiar e rangar in puncto B.
Demonnracionem dabimus in libro de
hyperbola.
PROPOSITIO CXLIV.
Ata bali agoregaco lacerum de
alcicudine triangulum extribere.
Constructio es demonstratio.
Aco agerCeato larerum ponatur AB.
aequalis; qua bitariam divila in C
hac D F. aequalis bali crianguli bitariam
divilxe in C sic reverim que relinquaneur
aquales AD, BF. alcieudini autem SIE
aqualis F, ex laceribuS AC, CB, DF
hac criangulum DIIF: (nam AC, CB,
Simul Cum pex maiores (unE DF,) crie
DTTE. Hlolceles. Deinde Rac DE qua-
dearum FTC ad F quadracum, ita re.
ctangulum AC B ad AR B, _ erigAtUE R C+ aequalis F parallela FIC, e iun-
BAnEUE DO, OF. DIcODGF, cMC criangulum guxesicum. quoniam ACB, Fe-
ctangulum est ad A R B rectangulum, ve quadcacum TIC ad quadeacum Fs hoc est
CKiquadrarum, crunc pundta A, C, FI, B ad candem elliplim cuius AB, eltaxis: _
qui2 AD, ipS E B, itEmQUE D FI, HIE, aquales sunc ipSI AB, CTUNE D F, a DuN- ~ CoroL. LII.
cta excopararione facta sine Foci ellipseos, quare D GF, lacera aequalia luncaxi AB,
hoc cM asercxaro larerum estque basis data DP, e alcirudo P hoc cAt C K, lgi-
cur exhibuimus criangulum quod quaerebatur.
uius.