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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 47, page id 1815201908:0104
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 61 lines, status machine
# Lines: 61 recognised, mean confidence 0.83
# 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.

ne
d
Dd
C
H
d
m
is
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cc
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A
In
POTFN LIA.
Constructio es Demonstratio.
Inc AB, BC linca quarum alEe.
eam B C, ita OpOrceaE parciri in D.
VE LinE in COnCINUA raTIONC, AB, BD,
D C: diuisa A B bIFarIA In F, HaEFC-
etangulo luper dacis ABC COnTeNCO,
rua cum quadeaco dimidia, F. B 2 qu a-
lC QuadtaEUML F, D, cadec punctum D,
incer C e B, cum LC quadracum (IC
aequale a quadeato BF vna Cum Fe-
crangulo ACB, quod maius est ic-
ctansulo AB C: adcoquC_ F C qua-
deacum maius quadeaco B D. Dico icague peractum quod postulatur: consticuto enim
super A B Temicirculo A F B, QUICAEUEFANOENS F D, IUnOAEHEGUe F R ad Cenerum. erie
ieaque quadrarum DF, quadrato D Fi, hoc cAb rectangulo BD A; vna cum qua- b35. Ferri).
draco E B, hoc el quadeato F F xqualc. Adeoque rectangulum AD B, una cum
quadraco F B, ipsi ABC. cum eodem quadraro aegnabicur, ablaco igicur communi
quadrato BF. remaneE ADB sectangulum, aequale ABC reccangulo, quaro
AD est ad AB, ve est B C ad DB. SE re AB ad BD, ita DB ad DC; sunc igi-
EUE C D, DB, B A in concinuaratione; igicur dacarum duarum alceram ica secui-
mus, _c. Ouod erac Faciendum.
PROPOSITIO LXXVILI.
Acarum duarum alceram ica parciri, ve recrangulum lub etena l
alcera parce diuila, ad quadrarum relidua, datam habeac rationem.
Constructio, e demonstratio.
Deoposctionem quam prius parricularem soluimus in ratione aqualitatis, conabimur quoque
universaliter soluere.
Sintigitur, AB, C D, lineae, oporceacque dividere F
CD, In P. verectangulum AB D R, 2d quadracum
CF, racionem habeac datam FT, adI. Fiacve TTadI,
SIC A B ad F C; dein C D dividaCuM iN F, VE F, D, F. C.
FC line concinuae per prxecedence. Dicotaccum eAc
quod pecitur. cxic enm rectangulum liper ABF D,
ad quanracum CK; ve idem ABF, D reccangulum,
ad reccangulum FC F D, id cstDE AB, 2d FC, id
est per construetionem ve HI ad I. Dimsimus isieur
lineam CD, 8c. Quod erac faciendum: 
Hluius Proposirionis aliam inuenies demonstracionem in libro baro deprosres
hionibus. Propol. 37.
ita secare in F. puncto, incet
C d Dconicuco, vercecangulum
AC.D, dd CEB sectansulum;
dacam obcincat rationem quadra-
Ei F, ad C quadracum.
Acam AB CccCaL I UL
LXI=
Con-