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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 464, page id 1815201908:0521
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=521
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 56 lines, status machine
# Lines: 56 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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# After the first blank line: the recognised lines in reading order, one per line.

17. bouius.
19. truoins.
c 15. tuius.
d Exe
1
.3 toi
P AR ABO
emonstratio
DOnaEuF ReCtA A C, OCCUETENS F B productx in C.
quoniam FC continsens cA, ex CD ordinatim
applicara ad diamerrum AD, 2 recta E A, AD, adco.
que _F F, F C aqualessun: est aurem vE F, Fad F C.
sic AG ad GC, (cum FG, F D diameeri b aequidi.
ACnE;) linea igituE A C in C Bisfecta est, adeoque
TIT cContingene parallela. vnde F C, F A linex in B
_ II, bifariam quoque sunc diuila, d A F C criangu-
lum d quadruplum crianguli FIIL: CA aUECM F AF,
aequale criansulo PAC, quia FF, CF linex aequales
sunc, ixicur et E AF, quadcuplum est crianguli FHI L.
Duod erar demonstrandum.
PROPOSITIO CCXZXV.
IIE ad AB C parabolx diametrum BB, or-
dinacim axplicata A C, Policilq Per A e C,
contingentibus quae diamerro B D occurranE
in E, ducatur per B, contingens, quae AF, C F. lincas lecer in FX C,
diamerri deinde ponantur F HI, CI; _ per HI & I, contingences L. IL, MN.
acque idem line termino conntue.
Dico figuram mixtilincam AF. C, B A, xqualem esserori criangulo.
Famleriei.
Amanstratio
Tenim non sic _ qualisi ma
Tor igicur vel minor ve sc
necesse est. Sic primum Agura
Mlacilinca moior triangulo
rum Cerie, excessu quancicatis
O. Ciangulum FPG maius
cest dimidio Agurae concaue
ALCB A; Emilicereriansula
T. FR MCN maiora Cytie di-
meliis mixcilineorum quibus
inscribuncur, ee id lempet ACt
imixtilinCO F AF C B A quan-
cicas data minor, ergo ex mi-
noc quancicace 
cessus non est, quomixtilineum A F C B A excedietriangulorum Ceriem: igieurnec
illud seric eora maius est. similicer ostendetur AF C. B A Eguram minorem quoque
non ese cora criangulorum seric. aequalis igicur velenecesse est. eiloc.
AB LuBNOA PROPOSITIO CCXX X p ucna
Adem MaBeM HB UCd.
Dicoparabolam concauam AE. C B ad criangulum F L. C, eam
proporrionem habere quam quacuor ad cria.
isicur per ablacionem illam
continuatam, relinguceur ex
Denton
Er. decimio
(            te   s tt  .  t1  A  1   t. st e  t A . e        .    1   1 s  1     1  A  1 1 t e    1 1. 1