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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 765, page id 1815201908:0822
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 43 lines, status machine
# Lines: 43 recognised, mean confidence 0.76
# 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.

a2BI
Onann
Hine
les Bu
edug
AXII
HB
udle
Do
et
re1B
e b
BiM
N PL A H V HI.
Demonstratio.
ralleIx ad AM C E rectangulis AC C Xquan. ~ xatese
965
V Caneux in FniCXIFL, OKLL P
ie rectangula luper:
AC _ L C: sed C C lineis aequaneur b linca L. I, 8E 8. sexci
ApsiS AC suncxquales recta LR; igicur d PL K rectangula aequalia sune Fectan- b,00. D
sulis AC, L C, hoc est rectangulis AC C. Tuneancem e A C C rectansulis Xqua- parabola
lia rectangula FOHI ian LClasIS LeHl aequantur rectansula ACO; ACC
CSerenur
aurem quiacCCaga eclatigulis AC, C a qualialUnE; IBIEUFPLKTC. L. 2 proP. 43
ctangulis aequantur rectangula FC FI. quare LI. ductum in L K aequale eAt FC
ducto in O FI. Ouod tuir demonstrandum.
PROPOSILIO LAAALC
ABCANEABC, ADC limiles d aequales sectiones conice commu-
nemordimm policam AC, ad commiunem axem BD, (ICVEOF, p2-
rallelae BD, ab AC bisecenEur. cum Luper AC, describatur arcus quicun-
que circularis IFI, vel alia quaeuis ponaturlectio conica.
Dico FH ductum in (c. vna cum HI C ducro in sc, duplum eAe CorDD-
ris, quodorirur ex HIL dueto in se rna cum lC duccoin sc.
Cnonsclatiba
ductoin se: Quod tur demonleran alau
Voniam A BC, AD C umiles es aequales sectiones potuneur; e recta DD, 2. do sectundi
deoque _ illi parallelae bilecaneur ab A C: quadracd ixieur F FI, FL C sSmul cursu 
at
lumpea duplicia sunc quadrarorum FII, LCn quare cCorpuS ortum ex ductu F FTim huius facile
(C, rna cum HC in Cc, dupllcia sunc corporis ex H F ducto in se, simul cum LC: collisitur
L eCCC
M t t