# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1815201908:0900
# Permalink to this reading: https://leibnizlegible.com/page/1815201908:0900?run=74
# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 843, page id 1815201908:0900
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=900
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000900.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 32 lines, status machine
# Lines: 32 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.

N PL A NVI
Demonstratio.
DRoducantur verimque FC, aequalicer in O et R, ve RO corx in N billecen-
tuT, de xquales sinc rectis A C, C C: cruncigicur puncta R O ad veram. parabo- :
lam. auFerantur deinde rerimque linex R T, O S, aequales C C vel AF; criam
puncta S; B, T per precedentem, ad veram suneparabolam: deinde quia EOFa R 9
aequalis cAlincis AC,, C,C3 e 9S aqualis CC, reliqua S R id est OY, (quia
SO, TR aequales sunc) religuae AO id est per hyporhesim F P aequalis est: led
_ FI, O. S aequales lune C C, adeoque e incer se; illis igicur ablaris; reliqua IL,
SY aequalessune, scd S T, ad veram lunc parabolam, igicur per detinicionem huic
Parci peaetixam, ec II. Cunc ad vierualem: quod aurem illius axis, vera sic parabola (C
ostendo: secentur P I lineq bitariam per lineam PFTK, dico P FTK vecam esse pa-
rabolam cuiusaxis eAt F P. quoniam enim I. I, SY linee aequales lunc, rectae quoque
TO; SN; aqualium dimidix requaneur. Ouare lihiis addantur P. I, O S supeâ octen-
(X XQUAlES, CFUNEEOEE F O, VYO aequales. cum igitur recte R O, posix linc ad re-
ctamlineam D P; Cincque puncta Q ad veram parabolam, eciam puncta OO
erune ad veram parabolam.
PROPOSITIO CCFVII.
IIdem poliris:
LDico planum OS duccum in Ce, aequari plano F. F, ducco in alcicudi-
nem AC.
Demonstratio.
Droniam SO linex per constructione xquaneurlineis C C, id est linex A F, qu2-
Ldrata SO aequalia lunt quadratis A F, id est rectangulis F R. V; planuisieur SO
20. b1
ductum in (CB aqualc CA L. F ducto in P. V, suie in alcicudinem AC. Quoderac de  as huuus
monctrandum.
Laet sttO CCAVII.
Udc Poricto:
DicotC Platium duclum in Li i aequati platd LC C i.
Demon-
otet ute us u us e u st ie e s s ettu s   e e e e pt pes  e e  s p  s  aes p s  e   s e e i e e t      1 . s    1 .  e en s  1 e  u t  nu