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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 1, page id 1815201908:0058
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=58
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 38 lines, status machine
# Lines: 38 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.
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# 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.

os
t
78.
sit
79.
tur
85.
IBER PRIAVS
DF
INHAENM POTENTIIS
A R G V M F N F V M.
Liber husere Lemmatieus est, quemadmodum Es alter, qui de Cir-
culorum variis proprietatibus tractat. Porro quo magis materia Lectori
admanum sint, omnem in tres partes diuidere placuit.
Prima quidem maxime circa linearum proportionem versatur.
Secanda varras trianculi affectiones exhibet.
Terria illas linedrum contemplatur proprietates, qua earum po-
tentias concernunt.
AR S P R I M A.
De varia linearum inter se proportione.
PROPOSTTTOPRIMA.
s Hi LD, DC, CD, DE, lineae in continua proporrione;
media AE FTI.
licaurem media
e
  FC, incer AB,
 BC; e IRTET
AB, CD; neca GFI:
Deniqueinter AB. DF.
dco AB. FC. CII. FII. lincas esse in continua analogia:
Semonstratio.
Vadrarum AB est ad rectangulum AB C. a vE AB. ad BC. _ AB C. rectat. a 1. SonM
Contum ad AB. CD. rectangulum est ve B C. ad CD. id est ve AB, ad BC.
Lodemh modo rectangulum super A B. CD. ad AB. D E rectangulum; eAVECD
rectaneut t Ab. C D. I ell ale Gealilarten l. Cauidem cacionem conei.
BUanE
adDLd Cs. AB adBC. uaa aldeM AB det Le. Glacal. C de HV
ad BC. Igicur quadracum AB. est ad quadracum F CY; vE ABC rectangulum, ad