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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 732, page id 1815201908:0789
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=789
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 35 lines, status machine
# Lines: 35 recognised, mean confidence 0.81
# 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.

DVOEVS BL A NY
Eccaronlum ABCD divisum SIEROUFA CUTUZ D G FFB, diuisa au-
Lcern DC alcicudine in parres quocuis equales, in punctis L, M, N,
POnanEuE L H, MI, NK, C B parallele AD; occurrenres curux linea
IN G, F, E pHIBCTIS PEF QUA PONANEUIFFCCEX OR, PS, OT, parallele DC.
Dico reccalsula L. FL, 3, L l. aqualia esse recransulo AL, S1.
uc KC.
PROPOSTTIO ZXXIX.
Demonstratio.
Voniam per hypochesim aquales sunc linex DL. F M, MNV, NC. id est 0O
LPF, OF. KB: rectangula duo OT, P R aequalia sunc rectangulo PM. similicer.
rectangula eria OL, PR, 9S aequalia suncrectangulo QN; _OL, PROS. K L
cectanguta limul sumpra xqualia lunc rectangulo KC. Duod erac demonstrandum.
exoeositio XL.
IEdem poliris (i OD linca minor(IE AO.
Dico rectansula AC, HF, IC, e c. maiora esse dimidio sxurx con
caueD AB.
103 11113E D :I A sNWIBOCI
CF EA DemonsratiO. 13CIIISQ CL L 3, WCLBMON
Voniam A8 linea perhypochetm maior est DD, rectargulum quoque AC
Ccaius est dimidio rectanguli AL: quia vero OF, P R, OS. K F rectangula
Per pexcedencem xqualia sunc rectansulo AL, rectangulum A C, quod maius est
dimidio AI, moius quoque cAcriangulis ODC, PGF, OFR, RF B: adeoque
mulco maius mixcilineis OD C, PCF, O F F, R B. B: 2ddiris igicur rectangulisHF.
TF, e C. parec illa limul sumpea cum AC rectansulo maiora esse dimidio lxura con-
CauX D AB. Ouoderat demonstrandum.
ET ATF Arani ABZoie XVL eegismRY
PR OP OSITTOBXLI.
11
adem polica ligura li AO. OD lineaxquales liat.
Dico rectansula Ci M, FN, L. C. simul sum pra maiora esse dimidio
tieurs bBC.
el N 32Gt obinib 23201
v0Ba.
Demot.