# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1815201908:0416
# Permalink to this reading: https://leibnizlegible.com/page/1815201908:0416?run=74
# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 359, page id 1815201908:0416
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=416
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000416.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 45 lines, status machine
# Lines: 45 recognised, mean confidence 0.88
# 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.

teA
ARS PRIMI A
Parabolam e cono educit, passione (q illius essentiales ac fundamenta-
les exponit: C5 primo quidem diametros (5 ordinatim ad illas posi-
tas, praecipua sq illarum proprietates exhibet: secundo latus rectum il.
linsq naturam, dein secantium ac contincentium primarias desienat
affectiones.
eROPOSIFIO PRIMA.
SeocOnuS HL BC sectusrriangulo per arem ABC, ductaque
s C D parallela laceri B C, HaCpeF E D sectio DF C, Secundum
rectam F. C normalem ad lineam AC; PONAEUFAUTEM PCF LI
punctum quoduis in E. D linca asumprum, recta lK xequidi-
stans AC diamerro balis coni: de per LK planum ducacur IFK xqui-
distansplano baleos ACC occurrens plano D FC lecundum commu-
nem incerlectionem F FI.
Dico HF quadcacum ese ad quadcarum F. C, ve H D linea est ad li-
neam ED.
Demonstratio.
roncalis planum LF K 291IOI-
LAacplano baleos A C C: circu
IOSACTIE IFR, _ FHI, F. C com
munes incerlectiones b parallcla.
quia vero AC, IR aequidistane, &
P C normalis estad A C, recta quo-
que HIF normalis c cA adTR: 20
proinde FH quadratum rectangu-
10 TITR d aquale: (cd _ FG qua
drarum, rectangulo AF C aequale
elt; quadratum ioicur P G est ad
quadrarum FII, VE AF C rectan-
sulum adrectansulum IHIK: quia
vero F. H aequidistaE RC adeoque
HIK, C F. linex in parallelogram.
moxquales sune, rectangulum LHK
eAt ad rectangulum AR C, ve TFI
nd AF, c id cA BII ad BF, qua-
dracum igieur FHI ad R, C, qua-
dracum cA ve recta BII ad rectam
BF. Duod crac deMonitrinaum.
Vocecur aurem lectio huiulmodi
parabola curs diamerer DR, _ OF -
dinacim act illam POLICX PHI, CP.
Pre
26. 2nde-
deto