# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1815201908:0557
# Permalink to this reading: https://leibnizlegible.com/page/1815201908:0557?run=74
# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 500, page id 1815201908:0557
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=557
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000557.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 60 lines, status machine
# Lines: 60 recognised, mean confidence 0.79
# 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.

b0
 A R A B, OL A
lum AB L., id est. (quia circuli concinsune sele In
DEB RIncacA ad lineam B L. iricur ee quadea-
cUM R O eIt ad quadEAEUIM L R. ve BK linca ad
lineam L B3 (Cum L. R, RO lincas aequales sine
BD, BF) eodem irodo ostendieur AIS quadra-
cum eAlc ad quadrarum NVT, ve BM linea cA ad
lineam BN, e sic de exceris: puncta isicur B, O
R, Si L, dec. sune ad parabolam. A B ergo lacus
FeCtuM EAE PAFEE, CUM SeMPeT QUAdFACA D R, R R.
20. aGuacta sinc rectangulis super X B, B A, L. B.
Corollarium.
Inc Facilis pacer praxis, producendi in infini-
cum parabolam, priori mechodoortam: cum
enim in infinicum mulciplicari postine circuli illi
concingences, e BC linex procendi, porerir quo
que in intinicum concinuari praxis qua prius para-
bolam produxi; ade09: eadem pacerie in intini.
pureta t ee a parabolam cuiustacuo rectum AC.
A
ec
eROPOSITIO CCCIX.
Sco AB C lemicirculi diameter AC, aet a G. per A COnFInSENTC AD
ducaneur ex C linex C BD, occurrences concingenciinv, Cemicir.
Dic
culo in B: dein ex D normales demictantur DP quas in P. secene linca
3y A∞ B9).A SEBA MX eutvol1097)V I
t
Demonstratio.
calucaerq dem hor. otilu
1
C1D3HC S1
b5. 14
125. 1
13
onstrandum.
dmancus enim, e, L aequidultances AD.
quoniam AD contingens cran(IE Per A
exeremum diamerri AC, angulus C AF
Drectus est: Scd e angulus quoque AB C in
Semicirculo rectus est, criangula ivieur
ABD, ADC similia TuNE: QuIA vCxOF. D.
OTorinalis est ad AD, ex D B normalis ad
Al. criansula A DB ad ADP limilia
i
quoquelunc. scd ADB limilc est criansu.
l0 CAD, criangula isitur ADB, ADC
limilia quoque lunt. Quase l. D ad I A, Vt
DA ad A C. adcoguequadraco AD id ell
CFF aequale rectangulum L. D AC lid ct
er SeP F AC. vnde, BR quadracum est ad qua
macue. deC cccateltum ad re
ctangulum E AC, id eA ve F A linca ad li-
neam F A. Puncta igitur R, P, P. Cunc ad p2-
rabolam. AC xero latusrectum elle patet
h eBarOS B~ AB eilarRIOA SI
1. c. 1P L5: B. CL ET sEBBBZBEVB St A CI.
varissor BA C tHBACHSBT SE A SV P RO.
(   t t   o e  s e  e i e   . . i  t   a  e t. .   es    e e    p. t   t e    .       e t  .