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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 176, page id 1815201908:0233
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=233
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 59 lines, status machine
# Lines: 59 recognised, mean confidence 0.89
# 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.

IP
CV LV S
Hatot Lquidiltans CF: iunetaGue AF, cOnCUr.
rat cum DB, producta in F. quoniam parallela
TUnE CF, DF, cric angulus AFC anguto AF D
aequalis: scd AFC aequalis ponitur angulo le
ementi AE B; igicur cOnCUrIUS A V. cum DB
producta, Acin perimerro circuli A F B: Rurlum
quia xoncingens est FD, cidemque aequidistar
CF, crunc legmenta B F, B C x qualla, ac proin.
de iunctx FB, BC, quoqueinter (C Cquales. vn-
de similia sunc, de xqualia exiansula F L. B, BDC,
id eoque F B aequalis BD.
Terrio, recta E D circulum non contingae su-
pex basi AC crectum, led intersecet in. pun-
eto quodam C. scque F. D aequidistans AC. dico
F C, BDlineas aeguari. cum enim P D, A C aequi-
distenE, CrUnE, AG, B C arcus adooque _ subien-
(x aequales: vnde e anguli C A C, BC A equa-
les sunc, rei ee anguliillis alcernarim posiciF ( A,
DBC; quocirea limilia lune e xqualia criangula
E AC, BDC; _ recta P. C, ipA BD aequalis.
Ouarco, quod si recta F D per B ductaoc.
CUEreNS PerimeEro A B C in C, non aequidi.
AECE A C, duCaEUE A F parallela F D, de ducta
C F, OCCUTTAE F B, producte in D. quoniam
DaraIICLA TUNC F D, AF, CxIE A F C angulus
angulo EDC equalis: led AF C equatuE an.
sulo seomenci BD C expositione, isitur D in
perimetro eA circuli BD C; ec quia xequidistane
E. D, AF CrUnCarCUS A C, BF, Xquales, adeo-
que e subcense A C, BF. cumque x qua les sine
anguli GAF, BF A, equalibus arcubus insi-
Rences, crunc de anguli F C A, DBF quoque x.
quales; sune insuper aequales anguli AF. C
BD F, ob segmenca similia; igirur criangula (i-
milia sunc de xqualia A F G, BDE; inde e tinex L G, BD, equales.
Ouinco cadar B verrex crianouli A B C: in-
cra aream circuli supra baum crianguli deleri-
pri: _ primo recta F. II P er apice B cranhens.
baleriansuli nOn OCCUrEAE. duCatuF C F aequi
distans F FT, dOnec. COnGeNIAE CUM AF pEO-
ducta in B. Ostendecur rei priuspunctum P in
Perimetro cAe circuli AE B, _ FF D, CTIC
criangula, 2dcoque de lacera F. D, CHL incer (0
aequari. Secundo recta per apice B acta, OCcur.
racbali criansuli: quo calu demonstrandum
elt linem F. B, lCaE C. EI aequalem ese. uoniam
H LL per B ducta occurric basi crianguli A C; vel alce.
Cum Circulorum ontinsic in B, (quo CalU APBAFCE ED,
CFI, aequales eNe: cum FHIC, AD E criangulataci.
le ex dacis ostendancur aequalia.) vel verumque circu
lorum super laceribus crianguli AB C descriptorum
secat in C ex F. circulu aucem luper bah Factu, in D, 8
HI; quo cali ducaTUT Cx A per C, linca AC F, lung acur-
que puncta F C, CF, FFI, CD; angulus AG B vna
cum ansulo segmenci AIB. axequalis est duobus rectisi
ed angulo ATU a caiS est anpulus A F C ex hypocheli, et angulo AC. B xqua
  is s s t t e ut b sati sa e  eee t  t est tet t st s  e p  peta nte  et a p