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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 416, page id 1815201908:0473
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=473
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 49 lines, status machine
# Lines: 49 recognised, mean confidence 0.83
# 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.

mru
D A R ABOL A.
curlineis FFE +D, criangula AFD, FF FD equalia sunE. quare AD, Tubcendens angii-
PRODOSITIO CXEVI.
Seo A BC varabolX axis AV. EImpTaq AF quXe noir sit maior
dimidio lareris recti, CemO F. incerualIo AP. circulus describatur
Dico circulum A IIF contingere intus parabolam in A.
Demonstratio.
FTac A D linea aequalis laceri recto;
se ordinatim, ducacur quaeuis GB
occurrens circulo in FT. Duoniam
AP. supponicur non maior dimidio
laceris rectis cader P punetum supra,
vel in ipsum D; adeoque ACi Rre.
canculum minus est rectongulo
O AD: igitur _ HIC quadracum;
minus est quadraco BCr. punctum
lipuncta, pexeter A cadere incra parnderam: circulus isirur ALIsi, parabolam
Demonsttala.
tum obeuliiin. A FD, maior CArecta YFD hoc est B D. Ouoderat demonstrandum.
125. b4
TTF.
AB C Mcerius in A Concingic. Mod erac demonstran duIm.
SD, inEeruaIIO A D CIFCUTAS ACLCrIBAEUE AFC:
Dico circulum illum incellecare parabolam.
iricur H cadecinera parabolan. eodem nodo demonstrantut reliqua omnia oireu-
O8IFIO CXXI
Eo A B C. patabale axis. A D maior dimidio laceris recti: centro que
GIac A E LINC2 XquaLIS MIMIIOIO laceris
recti e pet I FECT pOnacur ordinZ.
eim F B: dueacurque ex D pet B, linea
DB Fi occurres circulo in L e parato-
le in B. Duoniam A D maior est dimidio
laterisrceri, arecta D B minor ost AD
hoc est D F. punccumisicur F cader ex.
era parabolam. quare circulus AFC
parabolam secat. Quod erae deton
Arandum. 1. 31 e13el 0.terit 10.
L Et2LBCer CI. Et (SSSSTOSiCI
DPOSITIO CXXVIII.
occurrences circulo in L. ee C parabolx in FI eil, axi in IX. 1. ~ 40
DicOF HIC rectangulum eC ad rectangULUI P. FI GSIVEFK B re
ctangulum, est ad rectansulum F. K B.
(2 it 29 (A ESp m. 15, 3 (1
it Et 1. L A eis eutru S. 10aim oto Demet.
Seo) A B C parabolae aris B D maior dimidio laceris recti, centroq. D
ductacoc ex a ordinarim linea h, clcancur quoruis F. C parallel AF,
inceruallo DB circulus desctibatur A F B occurrens parabol in A
t esuet a ut sti   n  p ti itu  s ut e e  pti ee t  A  e   eit         1 1 a   t e e . u   p