# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1815201908:0237
# Permalink to this reading: https://leibnizlegible.com/page/1815201908:0237?run=74
# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 180, page id 1815201908:0237
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=237
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000237.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 53 lines, status machine
# Lines: 53 recognised, mean confidence 0.87
# 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.

mmumon
dc
R CYLYS.
Duinco, quod lirectae DP, B F in.
Fea lacus AB conticuanEUE, _ BP
quidem secet circulum AF B in F: p0.
RaCUE RCCtA AF F, OCCUETEHS C F. in
F: _ AF xquidistans BD; osten.
decur ve prius punctum F in pe-
FIMEErO AF C circuli consictere, vei
ex punctum D in perimerro circuli
BDC: unde cum parallela (InEFB,
DE, PB, BD, manifectum eAt, FB,
F D ese aequales.
Sexco, candem linex FB, D C, supra
BaSIm AC constituEX (INE, _ CD
occurrat circulo ABC in P; agaTUF-
GuE PEF F. FECtA AV, OCCUTTENS FB
in F: deinde ex B Ponatur BD pa.
eallela ipA A F: CxiE angulUS A F B in
sEoMentO A F B: ex punctum D, Com.
munis incerlectio rectarum CD, BD,
ee perimecri BD C: cum angulus
BD C. aequalis sic angulo segmenti
AR C. qui cum angulo AF C, hoc est
AF B, hoc CABD P, duobus rectis est
aequalis: Parecigicur lincas FB, DF,
aequales ese inter (c. Quod Fuir de.
monstrandum.
P R OPOSITIO ZVII
COncingane sele incus in B circuli duo ABC, E B G: TIEG; F cenrum
Maioris; politâ deinde BF COnTINGENEC, dUCANEUE P F, OCCUTEenteS
circulo F. B C in C: ex quibus normalesponantur ad BD diametrum,
rectae CI.
DicoFI, F. C, F FI, F. F ese quaruor in continua analogia.
Demonstratio.
Vnc cnim ex erementis concinuae
proportionales P, I, F. C, F. B, hoc
est F HI: (od ve F, I, 2d F, C, ITa CAF. B,
id est F FI, 2d B F; Cune igitur in con-
cinua rarionC R I, F CI F FL. R F. Quod
Fuic demonstrandum.
rum cenera contincar diameter
maioris A B, ad quam polucis
Oaet CG, DH, quX OCCUETAnE PerimCEO AEL, in F. et F. collo.
CHEUE AC, AD: _E AC, AF.
PROPOSITIO XVIII
oncingant sese irem circuli
duo ABC, CF, in A; quo
ledAC ad hD, candemtationem habere, quae icel At.2
Demon-
exetiu.
1 i  s i s e i  i.  1 t e s . 1 1 . e e       .    1    e u t   p  a 1   p or 1     ae e  pi