# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1815201908:1217
# Permalink to this reading: https://leibnizlegible.com/page/1815201908:1217?run=74
# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 1160, page id 1815201908:1217
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=1217
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00001217.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 38 lines, status machine
# Lines: 38 recognised, mean confidence 0.84
# 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.

2160
QVADRATYHAC LB
PROPOSITIO EXZXII.
TIde LCMMIAMCMDUS.
Cc, ad corpus ex ductu C l’in le, de racionem corporis ex ductu Csl in
Ec, ad corpus quod Hc ex F. O in se ducto, candem esse cum proporrione
quae est incer rationem corporis ex ductu plani I O in le, ad CorpuS ex
ductu L. S in Sc, e rationem corporis orri ex ductu plani L. N in le ad cor-
pusorrum ex plano KM in Cc dueto.
LDicoproportionem quae est interrationem corporis ex ductu F R in
a FrOB. 8I.
min
Demonsranio.
Scensum eA a quod FAtIO qUIX CAL InLF COEPOTA DETA Ex duAtu L R in Ce, et G F
Plani B. O in leiplum. lecu fudeacto sa enet Colporanaca ex ductu ROin le,
ex I. S in Ce, cadem sic cum racione quae est incer corpora orta ex ductu plani L N in
3Pers8. do lC, _ KM plani in se ducti. igicur cum verobique sic racio aequalicaris, manitestum
propors. CRb quod in proposicione Fuerac asercum.
15
.A PR OP OSITIO LXZZIII
Ildem posicis:
a
Dicoproportionem quae est inter rarionem corporis orri ex ductu
E. R in (e, ad corpus orcum ex ductu KL O in sc, e rationem corporis orri
ex ductu plani C Tin se ad L. S in se ductum, candem esse cum proporcio-
ne que es inter rationem corporis orei ex ductu C P inle, ad corpiis or-
cum ex ductu plani L. N in Ce, ae racionem corporis orci ex duecm plani L O
in se, ad corpus quod tic ex duccu plani KM in Sciplum.
in (es eadem sic cum ratione quae est inter corpora orca ex ductu C P in lc et
Demonstradio.
=Prop. 82. P Ocuimus cproporrionem quae ost incer rattonen cospors o ex auctu L. H In
mini.
(e, ad corpus ex ductu C P in Ce, _ racionem corporis ex ductu C P in le, adcor-
nem corporis ex ductu planika le, ad corpus ex duclu L. Sin le, d LaCIOnCM COF.
poris
pusquod hc ex FO in se ducto, eandem esse cum proporcione quae est inter racio-
Ma
e.