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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 829, page id 1815201908:0886
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=886
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000886.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 34 lines, status machine
# Lines: 34 recognised, mean confidence 0.79
# 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.

inem
Va1
eitala
TH CP L A N V NS ∞1
8
FITaHI qua _C ex C. B superticie ducta in seipsam. Ductis enim A C DBp2.
CD aequaa Guadracis C. B. L8Ca POP. 40. ia set pop
CIEUM.
rallelismore Colico, eruncomnia rectangula AD B una cum quadracis
Sexta sechnur cumnorum.
PROPOSITIO CC
Hlrcceaeaa ececcla Guaa ea Ia rectum ad-
Quadcato quodtica nera aelale elt quadrato alinea quae cum ex di-
midia cum ex adiecta componitur canquam ab vna descripeo.
Diiciatur. Rectangulum comprehensum sub eora cum adiecta, una cum
ex 222. e 2 L2 L L
LAerI
Dico Tolida magnicudini quae sic ex manplicatione superticici AD in
in planum DB, una cum quanticare qua producit C B sciplum mulci-
dirculum AB secent dux xequidistantes FF, GFF, ad quas perceri-
ragatuF OrthOSOnA CC, cuistacuatur quavis a quidistans DD.
Plicans, aga Corponee ccu  terprunt. Ducane C
Parallela Guocuque aC0V. hgeecomes AB bilecari in C, adiectal-
que linoulis ese rectas BD. CMA BGHCMLLCCLAHSUIA LID DCUIM GUacLA
ris CB aequantur quadraris CD. Quare ex propol. univerali paret a4s. hulus.
proposicum.
CIO COTI
alibri secundi elementorum.
Erecta linea secetur bitariam, adiiciatyr aurem ei in reclaur quexiam
linea recta: Duod a coracum adiuncta, ee quod ab adiuneta, veraque
simul quadraca duplicia Cune eius, quod a dimidia  cussu a
polita ex dimidia et adiuncta tam quaab, una delcripcum liE quadrati.
NNEMM
   t a iu u i