# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1815201908:0811
# Permalink to this reading: https://leibnizlegible.com/page/1815201908:0811?run=74
# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 754, page id 1815201908:0811
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=811
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000811.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 38 lines, status machine
# Lines: 38 recognised, mean confidence 0.75
# 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.

754
213110 LC1 C 1t
CiY
V
t
NI
LEC
PL A N
Setiicis.
V
si clonuet
M
diA R Sum S F, X I. A cum marima
I1. .3 11E. ASIL. CSE E 3EI
1
0ide
Ampliorem continet comparationem corporum productorum ex ductu
planicircularis in circulare, cumiis qua oriuntur ex ductu circula-
riumpartium; in Elipticas, Parabolicas, LTyperbolicas.
PROPOSTTIO LXVII
Tirculi A B C diametrum B D oblique secenein G. parallelX E Fis actis.
L.que per G orrhogonis RG, hanE F G lineis aequales rectae HC ee
ipsiS OF aequales C l: pacet ex illis quae in libro de ellipsi demon-
straui, puncta HIFI, II esse ad ellipsim.
Dico corpus ex ductu HC in G I. ae quale ese lemicirculo B A D du.
croinse.
Demonstratio.
Ban. ScCt sin
ie
VoMac F. C, C F MMKa
quales sunc lineis HG, G I, rectangula FIG L equa
Llia suncrectangulis F C F id cA quadratis RG: quare FFG superticies ducta
45. huius. in supersiciem C I. alaan poe corpus quoe L C Plaltu, acclu  1
DuodFuir demonstrandum.
PROPOSTTIO LRVITI.
Meco tC. Pdhancurque l.D. b M occutcMled teclid it 1 aD.
Dico
IIdem politisrecra BL, D MI quae in B de D cangunc, tanc ae quales dia