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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 932, page id 1815201908:0989
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=989
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 35 lines, status machine
# Lines: 35 recognised, mean confidence 0.83
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# After the first blank line: the recognised lines in reading order, one per line.

ROPORLEEDEILLBLELL LVM
(AHOMETRIC AR V M
A R S. S F.
X Y
arias proportionalitarum proprietates complectitur.
e
 aiim
eribus TeruISIn concnuaratione ScilICCE A BC..
icm AB ductam in BC, ad rationem C B duct 
BALacnE, candem esse cum ratione quxe est inter Ae A.
Demonstratio.
ACO A B ducta in B C, eHL VE A ad C. Deinderatio CB, duct2 in B A, estra-
ducta in DC aaa CB, ductam in B A racionem: sed rario A ad C, ad
Cad A racte na cumracione A 2d A. isicur manifecta est veritaS PrO.
neIteTUI MII CMIHInALA PFOPOTTIONC ABC, ADF.
Dicorationem BD in se duetam producererationem C ad F.
Demonstratio.
Lilac F, cercia proporcionalis ad rectas
B, D: cricigicur racio BadF, Orta
ex ducturationis BD, b in Cc. sedratio
Cad F, cademe est cum ratione B ad
F, cum habeane A, communem primum
cerminum hae duq series, igitur rario
BD ducta in sc aequalis estrationi C ad F. Quod fuic demonstrandum.
PR OPOSITIO CXXIX.
NInEaUTeM AB CD, _ AF FC, continuanres eandem proportio
Dnem.
Dicorarionem BF, ductam in C. Frarionem, exhibere D ad C.
S
rio C ad A. Pgicur verario A ad C, ad rationem C ad A, ica est rario AB,
Per 27.
mins.
Poltoso
Demo
PR OP OSIIIOCZENIII