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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 457, page id 1815201908:0514
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 59 lines, status machine
# Lines: 59 recognised, mean confidence 0.81
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# After the first blank line: the recognised lines in reading order, one per line.

ticu.
Iver
6e
pUn.
TI. 8
OFF
Oc.
AV.
AN.
Qua-
Qua-
etgo
cien.
Sapius parabolam quad al.
eR OPOSITIO CCZMHII.
RECenEABC Parabolam diamerri dux aequales BD, F. F: policisque
Dper D _ F, ordinarim lineis A C, C HI, iunSANEUE ABC, CEH.
Dico ABC, C P H criangula esc inter le aequalia.
Demonstratio.
Vnctis, G, Ci PONAEuF A FT linca,
quam in R de I secene demilx
ex C _ C diameeri: illas aucem leL
Centhrchogonalitex in L, AI, N, O
reCtA AM L, IION: _ AL qui-
dem occurrac BD lince in 9, FIN
vero ip( P F in S; Faccisque PO.
SR aequalibus, ipsS BD, F F iun-
BANET APL, HTR N. quoniam
isitur xqua les sune diametri BD, P. F, _ AD C, OF H ad illas ordinarim policx.
iunetea CC, AHI sinc TR aequidistane: sed de CK, C Laldmerri parallele CUINC, p2. a FX CoroII
rallelogrammum igicur est GC LK _ OK, C I linex aequales. est aurem vE C K ad7
TC sic AK Hrectangulum ad b rectangulum A IFT, rectanBNIR ISIEUT ARIL. AL HL CEL 
aequalialune; ideoque e c x quales lincE AK, H I, quia vero eA vE AK ad R P, siC mencir.
AM ad ML, e re HL ad TK, hC HO ad ON, isicurvE AM ad NL, ACHO
adON: aequales aucem sunc linea N O M L (quia AML, HIO N orchiosongles
tunc ex constructione, ad CMI, C L, aequidistantes, adeoque MO parallelogeati-
mum est) rectRISITE AM, HIO, adeoque TOTA AL, HN xqualessunt: se d  PO
RS per constructionem aequalessune, criansula ixirur alLLCAid elt ABC,
OFH aequalta sunc. Ouoderat demontrandum.
Est hec Archimedis, alicer demonstraca.
AItommPROPOSITIO CCLIX
Ddrabolam ABC, concin-
Lsenc duxguauis AD, CD
conueniencesin D. Secete illas
in C _ H recta quaedam LF3.
coneinsens quoque parabolam
in Boccurrens AF, CF diame.
erisin F ee F, demictaacur au-
rem ex C X HI diamerri GI,
HIK, Occurrentes AC in ldR,
ei sieeit 3eS
Dico rectam LK,. dimidium este A C.
huius
17 huin
tmm
lai
Demon
ii
11