# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1815201908:0592
# Permalink to this reading: https://leibnizlegible.com/page/1815201908:0592?run=74
# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 535, page id 1815201908:0592
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=592
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000592.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 50 lines, status machine
# Lines: 50 recognised, mean confidence 0.86
# 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.

et
M
15,
B.
10.
EF
D,
25
1.
li
AI Y P E R BOL A.
ROPOSTTTO MA
Lcta Ab alutsa elelinque in
CC. ita camen ve cellangulum
at ca ea
obcineac cacionem quara quadra-
cur DD adBD quadrarum, ad
aequaleo alslilos applicarum adre-
ctam AB.
Dico CPB enc H) Detbolam.
Emonctracio manifesta est ex pri-
maproposicionehuius.
Scholion.
dictis diuersum contineat, sed vinansegucter 
ere pretium unathum propositionem
hoc loco collocare, non quoc
id
occasionem ea quae huc usque in medium ad.
ducta sunt explicattat. cacaplatanat quae apolomm otopmo propos. L2. hodh denatura
hyperbora teliquu; cum ea tyrot
Sporius a studio Conicarum sectionu atsa 
inuitare, conabor hoc loco per dilucidationem (cematur
ae hic appar
nifestam
reddere, vrorexim mouere curqe valeat ip (a facilitas. nam ve nonnulli autumant, affectata au-
aoti obscuricashorrorem es aversionem parere nata est, quae nihilominus diris intellicentibus
admirationem mouet.
Conus AB CD isoscelius rectanguli cujus basis circularis B C D secetur per centrum F
diametro BD: per quam es verricem coni a acatur planum ABD, deinde assumpro in
diamerro BD, quonis puncto F ericatur ex hocnormaliter ad diamerrum BD, recta FC.
faru planum TIFC occurrens rectae D A productae in FI. Deinde per punctum quoalbet
K linea FC statuatur L. KM aequidistans diametro BD: secundum quam parallelum
planum collocetur L. LM basi BC D: Ex sit K I communis sectio plani FL F C ex superficiet
F LM. Fiat denique quadrato K L aequale rectanculum C K hoc est F KM. ex punctoran-
dem LL demissalinea ad punctum N, ducatur CC aequidistans RNI: ex F B producta con-
currat cum FIO in puncto P. Dicis isitur apollonius sectionem C LC, qu o
Y7 2
perbela indisecat, habere has proprietates.
Figura:
Primo