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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 808, page id 1815201908:0865
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=865
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 41 lines, status machine
# Lines: 41 recognised, mean confidence 0.75
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
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# After the first blank line: the recognised lines in reading order, one per line.

8
DVCTVS PL ANL
PROPOSTTIO CFZXIV.
Acti(que AB, DC
nacur quaeuis P P autanS B C.3 potird de
IEL, deniqueper A, I, B, puncta parabola describacur, habens apicem
A L.
Dico MS ductum in alcicudinem TX, aequari YV in V Z.
NIrculum ABC, lecent aequales dux parallelae linex AB, DC, ium.
inde GIIHI dianelto, parasera D, nac des alLLL, HCACi ad
Smonstratio.
BOnAnEBE inENICA MS F YV X, parallelae C FL. Ouoniam est VE HTK ad KL
AC K C ad R F, rectangutum FTK L, aequacur FK C rectanguto. quia verO AL D
17. parab. Parabola CA, YE= P. R ad SP, sIC A RD rectangulum estad rectangului A FD:
sed ve L. K ad SF, sic quoque est P R HI rectangulum ad rectangulum S I X, igi-
CUF DE A KD ad A FD rectangulum, id CA vE C K IadM FV, SICL R HI ad S T X,
_E PermuTandOVE CRI ad L KHI, siC M T V ad S YX: Sod L RTF rectangulum
aequale ostensum est rectangulo GKI; isitur _ ST X rectangula aequalia lune re-
ctangulis MXV, quare vE MI ad ST, sCTZ ad TV, e converrendo ve
MF id CA YV, ad MIS, SIC TX ad V X: vnde YV X rectangula aequalia sunE
b46. huius. rectangulis M S F X, plauum b igicur M S ductum in alcirudinem FX, Xquacur
ZV in YX. Ouod crac demonstrandum.
31E.t es v
PR OPOSIIEIOECLZZI
eu
ste
VIE ABCD rhomboides, includens circuluM P F C quem in pun-
Dctiscribus F, F, Ccontingat: Factis auter proporcionalibus AB, A F,
AI: C D, CC, CH delcribatur per L, F, R parabola cuius diamerer sIc
F HI parallela AB.
DicoEorpus orcum ex ductu P. Nin LO aequari magnicudini que ori-
cur ex ductu L. M in alticudinetm F II. q 2
S.l1 .t
ced ee cd
 5. B2 1 CL 21135IB 3CPS
iCrLHA
1 id c0 cm  l 1ti20 B011 
.
(..t (CAIB C LaES
Demon-
agulic C