# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1815201908:0461
# Permalink to this reading: https://leibnizlegible.com/page/1815201908:0461?run=74
# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 404, page id 1815201908:0461
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=461
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000461.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 42 lines, status machine
# Lines: 42 recognised, mean confidence 0.85
# 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.

Auc
u
plombia
eARADCL1
Arabolam ABC contingarin A linea A D, in qua sumpris quibuluis
dunctis I _ E, demiccane diameeri DB, E. C: e ex A perB recta
Dico esse F. C ad CF, VE AF ad FB.
Demonstratio.
VeaIE recta AC OCCurrenS DB linex in C. erie
ur AC 2d GC, 2 vE DB ad BC, id cst FFad
FC. sed CC vE AC ad G C, SC AB ad BF sigituT rE
AB ad BF, GC F, F 2d F C: d componendo ve AFad
FB, sC F C ad C F. Ouod fuie demonstrandum.
PROPOSITIO XCVII.
DArabolam AB C subrendat recta A C, crecta.
que ex C diametro C E, ponatur quaecunque
AC occurrens C P. linex in C, parabolx in B
puncto, per quod diametce ponatur BD.
Dico iunctam DC aquidistare concingen
e ROPOSITIO ZCVI.
ducatur AF occurrens FC diametro in F.
per A ducta.
monstratio.
Vea enimper A continsenS OCCUEEAEBD, C F. dia
erris in F de L. Cricigicurb FB ad BD, VE AD ac
DC, idcA AB ad BC: GUATE CA F, D C linaxe CUnCP
ADeOSITIO XEVITI
Arabola ABC Cubrendac linca AC, actis.
que peM e C, concingencibus qua conve-
niane in D, ducarur diameter que
cutique FE, secans AD lincam in F,
DC in C, de parabolam in FI.
Dico OHI HIF, HIE, lineas incon
cioua este analogia.
Demonstratio.
callelx. Quod crar demonstrandum.
enim ve AF ad FC, BC d FH ad
HTF, sed Cti2M DE AF ad FC F (
cex radem
FH ad H C, isicur vE F HI ad HIF, I HF est ad HC: proporrionales ipicur
sui C HIE, HE. Ouoa erar demonstrandum.
(  i t tu u e   1    .  . 1        t     e a e        t    1     e   s. u   . 1 r 1