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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 174, page id 1815201908:0231
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=231
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 40 lines, status machine
# Lines: 40 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.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
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# After the first blank line: the recognised lines in reading order, one per line.

IR CVLV S.
inriganeur A, G. Ouoniam AB contingie cir.
culum A C C in A, erir angulO 2 B AC 5 X
qualis angulus segmenti AFC. vnde BAC,
AFC, ideoque reliqua AOC, BHIC se-
S enca lunc similia: vicerius cum angulus AOC
cam cum angulo ACB, quam cum angulo se.
emenci AF C, b duobus rectislic xqualis, dem-
procommuni angulo AG C, CrUINE AC, B, AFC
aquales angulis onde ec angulus legmenti AB B.
aequatur angulo AC C, adcogHe A F B, ACC
sCGMCHCA CUEAMILIA. IBICUTCONHAEDETICASPIO.
Policionis.
Corollarium.
Inc pacet in sccundo casu, AI supeF AB C. crianguli laceribus similia de Ceripea
Ent circulorum seomenta rectas AB, C B productas cadere in communes inter.
sectiones E; F: li enim per B e puncta quibus A P C perimCErO OccurrunE circuti
dE(CTIBAREUT. CrUNE AE B, B FC sexmenca similia sEBMEnTO ABC.
PROPOSITIO, XII.
Vper A BC erIIS MIIAtCrBUS ACICTIpTA (INE AEB, ABC, BDCB.
milta circulorum se seMa; du etxe que linex ex A e C circulum ABC,
continsam u in u, Pelipheriis aurem occurrane in D, _ F.
Dico E, B, D, puncta essein directum posica.
Demonstracio.
32. terris.
terris
Voniam E A concingu Circulum AB C oricangUI.
locF A C, requalis angulus segmenci AHIC, hoc
est Scomenei A C B quod illi simile est, sed angulus
AFB, vna cum angulo segmenei AG B, duobus rectis
dest aqualis, IGIEHE AL B, F A C anguli duobus re
ais sunt aequales; adeoque PB, AC lince parallela
eodem modo OICHAUNEuE AC, BD, equidistantem
eAe; quare constat FB, B D, in directum esse consticu-
ad es erac demonctrandum.
t85111O XIII
accribusliunsuli A BC, limilia circulorum Ceomenta delcri.
 pet gutum centra C, Hl, ex concro F, lesmencilupet B
bal1
oi  ut   i e   ue e  e    s     pt    t i  e                   e e      p nnvi