# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1815201908:0977
# Permalink to this reading: https://leibnizlegible.com/page/1815201908:0977?run=74
# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 920, page id 1815201908:0977
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=977
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000977.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 48 lines, status machine
# Lines: 48 recognised, mean confidence 0.83
# 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.

920
cn
ROPOETI
NLLLLLFLL F E
ederre
F OML TATCREVM
ARS. C
ARTA
Rationum proportiones considerat: maxime secundum rectane ur
comparationem quae fiunt ex terminis rationum, termini autem sta
LkOFOSIIIOXCIA.
Dico reccat SaM AB ad rectangulum BC candem ha-
Dercploportionem quam ratio AB ad C D.
Demonsitabio.
Fitacre, ad C, Ila B al F. CM.
isicurracio AB ad CD, ve A
ad a F: rectangulu b durem AD, ad
BC rectangulum habet compon-
camracionem exracione A ad B, d
D ad C: cstaurem D ad C, veB ad
F. quare rectangulum AD adBC.
HaBCEraTIONEM COMPOSICAM CXF2-
tuuntur duni
13. huin
23. sexti.
tione.
nE dacxrationes AB, C D.
 ex PaC
one Bad F. Scd erram A ad E, habecrationem compolicam ex
iidem racionibus; igicur rectangulum A D ad B C. Cst ve A ad F. Ced eriam ratiO A B
ad C D, CAVE A ad L  aac D ud CD, eadem est cum ratione rectanguli
AD ad BC. Quod tuic demonstrandum.
LAOPOSITIO C.
AGuas Lacto LLD, d ald GuauIS alx similes incer se, nimirum CD.
Dicorectangulum AC ad B C. tectatislilum eandem habere propor-
tionem quam rectangulum AD ad BF rectangulum.
Demonstratio.
iF
QAcio rectanguli A C ad BF,
Copol
est ex racione A3d
B, X C ad F: ratio quoquet
ctanguli AD ad rectangitum
BF exii (dem Componieur: nAM
racio A ad B, communis e, ld-
eio vero C ad F, cadem ex
hypolhesi est cum racione D ad
 Guar pacer lauu