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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 562, page id 1815201908:0619
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 49 lines, status machine
# Lines: 49 recognised, mean confidence 0.79
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HZCLADOLA.
Demonstratio.
IN veTO: pONaEuE EC diametro, coniueata RC. aqualis isitur est LR, ipB
eROFOSIF1O LV.
TINE ABC, D F F coniugarx sectio-
anes quarum alympEoci GN, 6O.
diamerri vero coninoacx G B, GF. ad
quas exastumpro quouis in alympeoio,
puncto K, Ordinatim DONANEUEKF, KA
Occurrences diameeris in l _ LI.
Dico ese CB ad BFI, vE G F ad F. I.
Demonstratio.
DOnaneur pel B a F. ConcinseatesBH.
ENV, occurrenc illa alympeoco C R, in b v-
nocodemque puncto N: _ quia RF, R AOF.
dinaeim pasex sunc ad diamerros OB, GF,
aequidictabiine BN, FI K, F N TR: sediisdem
requidistane diameeri c coniugace CB, OF
Parallelogcamma isicur (unc NC, R Cad can-
dem diameerum OK constiruta: quare ve
CB dad BH, GC O F. ad IF. Ouod exax
demonstrandum.
Corollarium.
Inc paceciunctas P. B, LL aequidistare incex le, adeo que et aly tptoto OC, tel
de2EI.
a53. huius.  a MI, id est ex hypocheli HP: pars cori, quod absurdum. non isirur _Cn diame.
drerit.
ex coniuxara cA F. C, ledI C: quod exac demonstrandum.
Ex L. D Parallela.
PROPOSITIO,, L. V
ne proporrionalice elle duilas.
(emvroros, e ductx inluper ada coniurata diamerri G A, C+ L, quas
in I_ K, incerlecet linca alzptoto patallela; miaux:  et Lr
Dico diamerrorum parcesMcercenerum et parallelam positae, à loctio
2t 15.
30301
al et scet sig n
1s. Et3
Demonstratio.  M. 1II B
Ohex Sinc denuo hyperbolx duxe coniurata AB C, D E F, inFerL
2d Cst DSILI
Vngancur puncta A D. quoniam C A.
C aamecriluneconiadaca. AL l
ita acclaluablec alstapioco eL ddco
Cue de DaLa. Suace eA ad atise
OP ad P R. Pacet ixitur vericaS propO
O Oit
sicionis
cst ist: II