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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 1110, page id 1815201908:1167
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=1167
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 37 lines, status machine
# Lines: 37 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.
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# After the first blank line: the recognised lines in reading order, one per line.

e
eto   ADA ALVR A CER CV I. L
Scholion.
arusonibus linearum.
Ara opera hanc demonstrationem conatus sum isdem verbis demonstrare, quibus in
praecedentibus ostensum est, uniuersaliter assinis poterit deos a everio
praecedenti osus fueram; quo subterfucerem occasionem. plures formandi propositiones
quae materiam eandem concernunt, es solo differunt numero divisionum; un de quod duabus
eROPOSITIO XX
TEEquadrancis A B C arcus A C bile-
Octus in D, HanEGueDE, DF Xqu2
les arCUS; _ ex P _ F PONANEUE FC,
FHI quae requidistene C B, iunsantur.
que BF, BF.
DicOLeCtOreM E BF AGUTR E GHF
requalem eAC.
Demonstratio.
Oniam arcUS D A, D C xouales lunE, &e
Smilicer DP, DF ex constructione; igi-
cur anguli F. B A, CB Fa xquales funt. Acqui
angulus HIFB, aqualis F BC, quoniam FTI
aequidistet C B: igicur anguli E B A, IIFB 9
quales sunc incer le. sunc auremanguli P. CB,
FFTB recti; similia icaque sunc criangula
E GB, FIT B: _ quia lacus F B laceti FB cA
aequale; etiam aqualiainter se sunc cadem
triangul2: cA aurem III B criangulum veriquo
commune, ergo communi ablaco TTTB, reti-
dua F GFTI, d F TB aequalia crunc. Addica
gitur communi quanticare P PF, cric sector FB P. xequasis fIgUTX PO HF. Quod
Clataeonuaa
N circulo AB C subrendat quaedam recta A B arcum ADB.
Morceacaureh ae au Commenlurabilem arcui ADB, extui.
bercin codem clrculo, a cuus exlremis punctis perpendiculares ducta
d diametrum intercipiant lincam datae AB aequalem.
PR OP 651L1O XXI.
Constru