# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1815201908:0986
# Permalink to this reading: https://leibnizlegible.com/page/1815201908:0986?run=74
# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 929, page id 1815201908:0986
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=986
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000986.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 49 lines, status machine
# Lines: 49 recognised, mean confidence 0.85
# 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.

nemmulciplicare.
BEOM E FR IC N.
PROPOSITIO CXXII.
acam proporcionem cacionum per alcelat latlonua proportio.
Constructio imonsoratio.
Acx sinc bina lationes
3. CD, icem bins
C, ica B ad L, _ ve II 2dC
iea L ad R. CrIEHAqUC2FA
A0 A ad L, propocuo rario.
num AB, CD; de lacio F
aR proporiio lacionum
EF, GFI: per praceden-
tem veronoca est Mechodus
Maliplicandi ractenem AI
alix FL, G FI, AAE ve D ac
PEF PK cariOnem. CrgO
Per eandem exhibebicue
provoicione BL: IL.
Ouoderat poctularum.
Corollarium.
proporcio AB, CD ducta in
929
ar3. bnins.
nuasse quam quis adhibere poreric h rlceriores mulciplicationes prolequi in animum
induxerit.
POn perso vicerius ad mutciplicandas proporciones proporcionum: nam illae cim
in infinicum posine excrelcere, extrauriri nequeune. Sufticuigicur praxim insi-
eKorOslI1 CCII.
Atam racionem A aet B, in duas rattones ipla Compoes Pal-
ciri, qua dacancer se habeane proporrionem F. ad F.
Cct Xid 1
Constructio ex demonstratio.
HEdE DE F ad F, HC A dd D; et
incer B aC D, InCatA PrOPOT
eionasisictatuacur C. Dicotactum.
ac P aequalis ipli C. Suoniam
BeAad C, VE C A D per con
structionem, eAque L par ip(
eSeric B ad C, ve L 2d D. Fr-
Obratio AF, hoc cl tario AC,
est ad rationem CB, M Aad D, hoc
CA. ex constructiote, ve P ad F.
lectacio AB componitur exratio-
nibus AC, et C B. LrgO ratiO AB
proportionem P ad F. Ouod ctallactem.
diuita est in duas raciones a componences AC, C_ fx dacam incer se habene
vid.
pa arru cen