# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1815201908:0530
# Permalink to this reading: https://leibnizlegible.com/page/1815201908:0530?run=74
# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 473, page id 1815201908:0530
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=530
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000530.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 53 lines, status machine
# Lines: 53 recognised, mean confidence 0.76
# 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.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

prul.
2 I
CD.
ChIH.
ened
Eran.
V.
Ot-
eria
5
im
e A R A B OL A.
D ROPOSITTOCCOLHI
Aca parabola ABC, d in illa (egmemo AC, oporet CUICUH Q L. L
a Glateeticum duterac daco aquauc.
uilis AC, DF. Bitatiam in HL d R
II aquali HB, ponacir pet L ce
aequidiltans DL, Pacet perpraecedencem
FIC teomencum daco AC, aequale csc;
isitur lincam duxitus xquidictance 
quae legmencum FPC auterac aequale da-
10. Ouoderar postulaeum.
Constructioes demonstratio.
erigantur diametri TIB, TR: Fact29;
eROPOSIT
d
CCLVII
IE ad ABC parabolx axem BD cuius latus rectum BP, ordinarim
Polica AC: SIC aureM X E F C parabola, cuius axis FHI, X lacuS re-
Au FR; OpORTEE Ex P. F C parabola sesmencum auterre, quod ad sc-
smencum ABC, ratioeabcac quam Bl ad F R.
cl
Constructio et demonstratio.
EIaE vE IB ad FK, sic F HY ad B B, dE per FE ordinarim potiaeuF E C. dico Fa-
Etum esse quod pecitur: CuM CMMIB ad FR, siC FHI ad BB, rectanou
elEquadFatOF FI. vnde AC. F C incer lC agbales: lunc criangulum igicur maximum ius
lum super TB B D idesta quadearum AD, xequale est rectangulo supCF F R, F FF id 2 Ex B. hu=
el ver constructionem BL ad LR; erxo a legmeu LiF C ad segmencum
ABC, ve IB ad, FK; abstulimus igicur Cx L P Cs PALABOIA SCBMEHCAM L L.
40.
scomena sib C ada  aaemenci ABC cA dFLL aBB, 1a
2HS.
quod ad segmencum A B C eam rarionem continor quam lacus rectum BF, ad la-
cus rectum ER. Ouod exhibendum OTaF:   A. MIMON
eR OFOSIFIO CCEVII
3.detil secDC
MWBCeL. 1SI. OI
IE ad AB CparabolX diametrum BE. ordinatim polica AC: du-
etaque AD normali, ad diamerrum ex C demistam, FranE B F, F. C
linea aqualed; pecAeD Parabola doebacu Clusaxis ei
Dico AC.D leemencum au e el ABC.. 
od
Derhon-