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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 201, page id 1815201908:0258
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=258
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 79 lines, status machine
# Lines: 79 recognised, mean confidence 0.80
# 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.

EuENOI
CuIE pr
ses AB
eslun
Vilec
alis lobe
VI
Paca
indoc
EMPTuM
10du
ca
an
ica ciict
CFO;
deacis
umpris
CF
mont
2 COn
culur
ru
1
1
umC
les, et
CTR CVLVS
 cum cadem DF centra D C. veriusque conungat, pafet CHCum L. F, a in L aschol aa
contingere circulum BF C. Duod erac demonstrandum.
P R OPOSPTIOLZ
Ildem policis: Sicirculus cenero D descriprus alcetum circulorum
AF B, B F C secuerit:
1113HC
NLS
Dico quod es alrerum lecabic; ex secures ab veroque auteres.
Demonstratio.
Ccurrat circulus CenEEO D
deleriprus, circulo AF B in
M _ NV: Cadecigicur intra F, e
F. D lincam secabit in I; quiqves
OreCtA DF, D Fb aequales lunE
pacec circulum radio DI delerin
orum, quoque intra P cadere, 27
deoque e circulum BFC sCc2.
c in I e O. Duoderarprimum.
Hlocpolco dico secures M F. N
T. F O oblacas incer le esse similes.
ductaM B occurraE CircUIOT. FO
in L, octenlum eA propolcioneI5.
huius, iunetam DL, aequarireatx
DM quare cum punctum M in perimetro et
eadem perimetro. eadem ratione ostendetur, iunetam ( B communi occurrere in-
cerlectioni circulorum NEB, MI. O in N, inde cum NBM angulo anguus
LBO ad vercicem insistens, Equalis lic: similes exunc arcus M L, N, L. L O. Duod
erac demonsrandum.
P R OP OSITIC
Vver ABC trianoulilareribus semicirculi delcribaneur A L B, A R C,
DBF C quos contingat circulus centro D, deleriprus, in F _ L.
Dico L.C damertum circuli verum que continsentis, aequalem esse
diamerris circulorum AL B, BFC.
Demonstratio.
Del centra Da Il ponatur recta
FG IIInGANEOEGUO CCHETA D, Ps
quoniam segmenca similia super crian-
suli laceribus deleripeas semicirculi
TUnE, et AB B C a diamCEris D FI, DF
in circulo ABC bitariam divilX, CrUNE
anguli DIIB, DP B recti, vnde AB,
DHI aequidiltane de TIF parallelogra-
mum, adcog; B F, TID, icem B IT, ED
lincx aequales lUnC. quare cum FC
dupla sIEDF id est dupla duarum FFI.
TTD, id es BFI, B F, cric FC xqualis
duabus diamercis AB. BC. Duod etae demonlheandum.
2OT
13. cetl9.
b15.1
culi NL O, erir de pohaum L in
eRO