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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 197, page id 1815201908:0254
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=254
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 47 lines, status machine
# Lines: 47 recognised, mean confidence 0.87
# 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.

neto
um.
b
HC
IOSF
Oct
C. IR CYL V S
muni FBC, cricangulus F BF aqualis
anguIo E AC id CA D AHI, Cuncaurem
e anguli CFC, CD C cidem insisten-
ces arcui aequales, isitur reliquus I, X-
quatur reliquo angulo TI. Ouod crac der
monctrandum.
PROPOSITIO LIII.
Vex sinenormales a terminis
crianguli ABC, ad oppolica
acCTA.
Dicoillas lese in eodem puncto decultare.
Demonstratio.
Ircumlcribatur AB C criangulo circulus; d
Der AC puncta alcer circulus describacue
ADC, aequalis circulo ABC. Productagne BI,
occurrarperimetris in D, _ K, _ per D quidem
ex A _ C, AGAHEUE CDF, AD F, iungancurq;
AF, CF, CK. Cruncieaque anSUII AF C3 AF C
arcui AC insistences xquales; quia vero anoulus
F AC, rerique circulorum equalium communis
CH, aECUS quoque DC. CF aquales sune, vei illoru
Subcensae; ob eandem rarionem quoque linex AF,
AD sunC xqualeS. Rursum cum angulo DKC, id
CK K DC (ob circulos aequales) duo anguli incerni
DCB, DBC, aquales SINC, CrunE duo arcuS E B,
R C id cst D C aequales duobus arcubus B R, F C;
ablacis itaque aequalibus arcubus KC, C B, rema-
nene quoque aequales arcus F B, B F; quare anguII
FCB, BC F. quoque lunc xquales. licur e anguli
FAB, B AD. vnde cum AF, AD lince, adeoque
e anguli AF D, AD F aequales sinc, erunc sc reliqui FTIA, D II A quoque incee
se aequales, adeoqne de recti. eodem modo ostendicur angulos ad C polcos, esse re-
eto5. quare paretnormales BI, CFI, AC, Pele in eodem puticto decustare. Quod Fuie
demonstrandum.
lLOFOSIIIOLIV.
Ndacum circulum ABC, a dato extracum puncto D; ducta lint
OL, BOF auFCTCNEES ArCUS FB, GC. Oporret ex alio puncto ex-
Lacirculum assignato, H, duas rectas in circulum immierere, quae ar-
cus duosincercipiane, duobus FF, CC arcubus aequales.
Demon-