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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 190, page id 1815201908:0247
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=247
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 46 lines, status machine
# Lines: 46 recognised, mean confidence 0.84
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L 2aC. L3.
eRO PD SILIO AXXVII.
Ireuli ABC diametruM AB ICCCE in F recta quaenis DE, Cumpeo.
que AC arcu aequali AD, Ponatur ex C per P. linca C G COnuE.
Dico AC ad S Casidem habercrationem quam AF ad FB.
Demonstratio.
VNGANEE AE, EB, X PeF B POnatuE TR aequidis
sanSipA A F: quoniam AC., A D AECUS (UINE Xqu2.
les, crunc ex anguli AF C, AF D quoque aequales:
quia veroangulus AF B in lemicirculo rectus cA, 2.
deoque duobus AF C, CF B angulis xequalis, dem
Pris AF C, AF D aqualibuS, aqualeS reMAMenEAN.
guli DE B, G F. B. suncaurem e anguli FBC, E BI
recti, cum IK aequidistet AF, aequalia isicur lune
lacera YB, RB: quare VE A F, ad TB est B, id cA AF.
ad FB, SIC A F est ad R B, id est A G ad CB. u0d
crac demonstrandum.
ROPOSITIO XXXIZ.
TIrculum ABC incerlecer alteF, Cenerum
habens in perimerro AB C: iunctilquein.
cerlectionum punctis BC, PONANEUE ex A
irculiincerlccancis, quals AL, occurrences perimerris in D de
mienseum diamecro in Ci.
E, recta vero BC in F.
cen
Dico lincas AF, AD, AP. in concinua esse analoxia.
20. hotritr.
emorstratio.
SOCUE Cx A per cenerum circuli
ABF diaMCTCF A G OCCUErONS pC.
terris in C _ TI, ecca reto BC. in li
iungancurqueoL KC. Camtonut AG
Canlcacpercentta CMCorarele incer-
dinila: vnde angulus ALF aqualis an.
Cccancium, eric BC in Ia normalicet
sulo AP. C in Cemicirculo posico: c
aurem C AF angulus communis veri
que criangulorum AIF, ACF. simi-
QutarC VE AT, AF, MC AL a C+ A: 2.
acdGC F AF rectangulum equalc,t.
lia Cunc isicur criangula AIF, AO B
calo IA Cid C quaaato AC, I
cA AD quadraro: proporcionalesigi
cuclume ACL ublbla.
monctrandum.
t stu    s sse uss  et a e ptet ate a sit tee ea u  t ei s  e ti ia ut es  et e e p  e  e    tete e   ote  e e s t  tte us  s  pu