# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1815201908:0800
# Permalink to this reading: https://leibnizlegible.com/page/1815201908:0800?run=74
# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 743, page id 1815201908:0800
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=800
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000800.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 34 lines, status machine
# Lines: 34 recognised, mean confidence 0.82
# 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.

aco
N PL A N V M.
4
plana BD AF, BAC; ADBHC. Commanem MabCane Men AD; de re.
ctangula F P. HI quorum lacora lunc in planis extremis, semper line xqualis quadea-
eis E C plani medii; per 45. huius plana excrema BI AF, ADBHIC, in Cc muruo
ducta, aquancur plario medio, criansulo BD a dueroin le. Quod eras demonstran.
dum.
Corollarium.
 discursu demonstracionis pacec eriam pareiale planum P. F. F A ductum in pla-
num parciale L.HLC A aequasi criangulo L.C A duito in lc.
PROTOSILIO aLta:
conrinsane se Cxcas II a Lemicirculi duo AE B, AF C: crectaq
CarangenE HD, ducaturTangenS FD H F. minorem Cemicircu
lum in L.
se A GL.
Dicoplanum HC aaelum i plauun l, aequariplano t li duito
Demonstratio.
VneE AF, aptEcUEque inEeE AB; GE, recta AO, aqualis AF. Zquales ipi
Lcursone anculi OAD, D AL. Tueae a atalea AB Mcacam-
munis; criangulum ixicur. O AD aqualo CMcaBMIO D AP. Guare O AD crian-
oulum ductum in les xquale esteriangulo D AF ducto in sc, sed = O A D criangu- LC
10 ducto in se aequale eit TT C acIM IN ∞L, I SS HD M iM le aequale eAt
Cix ductum in GL, iBicur HC ductum in C L aequale eAt C K ducto in 6 L.
Quod luic demonstrandum.
ROeOSITIO L
virculum ABC COIuS 
ExeF A C contingatinS a quaviSF B
Loconveniens cum diamerro AC in E, Factaque E D aquali E B duca-
currecta BD.
Dico F BD criangulum ductum in sc xqualen o  u
auplani FK LL Platu.
mon.
utra