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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 1109, page id 1815201908:1166
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 42 lines, status machine
# Lines: 42 recognised, mean confidence 0.82
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1a
DY ADRATVRA CFRCVEL
Demonsclalto.
LCD, quod equale eric A B ducte in C D: dimlis deinde
GFTH LinK e L, Cccun du ratione qua divilx (UnE AB,
CD in E _ Li; PONANEUE RO, LM quae equidistene
GTBTTI. cruncigitur rectangula RL, NT, GIN, NP
aequaliacoli Hl in Ell, hoc clt AB ducto in C . Cl
aurem R L. a ectate LL L. IH C L, _ Nl aequalc AF in
FD; eCN aequale liB in CF, de NP aequale FB in
FD. Tgicur eciam A B ductum in C D, aequale eAt A F
in CF, de A F in F.D simul cum E. B in CF; e F. B in
FD. Ouod tuic demonctrandum.
ot031L1O XIX
Vod A AB, CF
divi(x linE vecun-
quei L. l & C t1.
Dico LAD aucamta
CD, CquaLC,
AEnCAL;
Simulcum F P in C 6,
GTI, HD; una CAMF B
in C6, OHG HD.
Demonstratio.
Filac rectangulum lL CX
IK, aequalI AB _ RL,
aequali C. D. exicigieuFTF
aequale AB ducto in C D,
divilIS aUTeM IR, KL in
MI. N _ O, P, secundum
eandem rarionem qua di-
nilx lUnE AB _ CD in
E, F, G, FI, PONANCUE MIS,
NT, _OO PR quae equidistencTR, RCT. crucisitur roctangula TV, O Z. R Si
cum rectangulis M Y, V Z, ZT, d rectangulis NO, YP, Z. L. aequaliacori LI, hoc
est A B ductoin C D: TunC aucem IV, OZ, RS, aequalia AF in C G, CTT, IID: in-
TUPCEMY, V Z, X Taequalia F F inC G, GFT, FTD: denique NO, PP. L. L, aequalia
EB, in CO, GFT, ET D. Ioicur eriam AB ductum in C D eequatur ijidem A F SciliccE
in CO, CFP, HI D, Simul cum P F in C C, CFI, IID, e FB in eoldem C C, OH
HD. Ouod erat demonstrandum.
deholion.
 u    ies  i 1  e   e t .    e 1 1            p   p   e  m