# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1815201908:0969
# Permalink to this reading: https://leibnizlegible.com/page/1815201908:0969?run=74
# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 912, page id 1815201908:0969
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=969
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000969.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 48 lines, status machine
# Lines: 48 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.

PR ODORTIOHALLTATES
PROPOSITIO LXXXIV.
Eneur quaruor quantieares AB, C. D; ∞ A ductum in D producac
F, d C ductum in B, producat C.
Dicorationem AB ad C D rariOHCM, esse ve F est ad C.
922
Demonstato
ETac ve D ad B, ica C ad K, crie
icaque a racio AB ad CD rario
nEM, ve A ad K, racio vero A adK.
composica est exrarione A ad C, e
C ad R: rario quoque Fad C, com-
Polica est exracione A ad C, e D ad
I (quia A in D produxic F, e C in
cum racio D ad B, sic ex construct. eadem cum Fatione 
vins.
ad C. Quod erar demonstrandum.
BP
ad K. cricracio A ad K, ex iildem racionibus composica, ex guibus racio lad C
Berincie 3. componicur. ersob A est ad K, hoc est racio AB est adrarionem CD, ve F cst
DOciris quacuor cerminis AB, C D. Si A ductum in D produCaE L
Demonstratio.
DEF praeced. racio AB ad rationem CD.
eA vE F ad F, scd F ad F racio aequalica-
eis est, cum aquales sinc exlirpochesi; igitue
racio AB aequalis est seu limilisracioni CD.
Duod erac demonstrandum.
Corollarium.
Inc E AB, CD similes FaerHCLationES, A in D producet idem quod C in B.
PROPOSITIO LZXXVI.
AEE snE quauorrationes pisPonionales AB, C D, E F, CH.
Dico exprima AB ducta in quarcam C H, idem produci quod
Demonstratio.
ilac ve C ad Hl, Hic B ad l; _ ve F, ad f
ita D ad R. Cric c rat LLI au cactotem
en
ROPOSITIO LXXXV
quaticarem aqualem l, que sr ex ductu C in B.
Dicorationes AB _ C D aequales esse seu similes.
LC H A ad C racio CD ad ratic
FF, ve C ad R. Rurlum quoniam est ve C da
FI, Sc B ad L, racio d AI produc
UE ex NUI.
F. ad F, C L at LL, Tatlo CK producituE ex
ciplicacione ractorm AB, GFI. LC quia ckve
ex ductu secundae C LTeTTIX F F.
ductu racionum P F, C. D. Deinde quiaracie
At t e