# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1815201908:0902
# Permalink to this reading: https://leibnizlegible.com/page/1815201908:0902?run=74
# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 845, page id 1815201908:0902
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=902
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000902.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 34 lines, status machine
# Lines: 34 recognised, mean confidence 0.81
# 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.

Supel
HB
BFL
XCeM
irculo
ique
uales
12 d 12
aua
IN PL A NV H.
343
quacdcum CF ve quadracum B F ad quadracum BF, Hoc en de ela  al tC-
etam BC lulclasleat CE ue a parabola. Leemeddem encurlu ottendam do
punctis LeAs habemuserso propolicum.
PROPOSTTIO CCXX.
TIrculum ABC, Sccet recta quaenis A C, super qua ve diamerro le-
smicirculus describatut . AcM ex A rectE POMAnET qua uI
AB, occurrences circulo DC. MB, de circulo ADC in D, per D nor-
Dico puncta LLL dd patabolam esse virrualem.
MaleS DONanEUE FHI, aequales rectis ADB.
Demonstralio.
LC_ HIE producantur iit F, ve B F aqualeS SnE AD, Crune per 300. libri de
parabola, puncta F F, ad Parabolam. Deinde rectis DB aequales TUMANEUE P. C:
Per 305. libri de parabol. puncta quoque C Ci ad parabolam crunc. cum igieur lincc
AD, DB, id est ex hypocheh P IY, veras producane parabolas, ex detinieione pa-
ECC HY, I vircualem eNe parabolam. Ouoderac demonstrandum.
PROPOSITIO CCXKI
Virculum HDC Accettecta quaenis BC, super qua delcripro circulo
ABFC, Ponantur ca Dlncae quorcunque B FF, occurrences qui-
dem circulo BF C in L, _ AB C in E pUnCtS; Per qUX RCCEX Ponan-
cux F. CI normales ad AC. diamerum circuli AB C, occurrentes cidem
Dico puncta IL ad reram ese parabolam.
Demon-
in C: hancaurem linex C l a quales lineis BF.