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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 498, page id 1815201908:0555
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=555
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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 0.77
# 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.

P A R A BOL A.
Ncersecenesese in Ae B, circuli
ntduo quinis ABC, A D B: ductis.
que exAlincis, ADC, demittan.
Tur ex D rectae DF F, orchosona-
licer secances AB diametrum in F F.
Hacaurem ve DC ad DC, (ic F H
ad F FI.
Dico B, FI, FL puncta cAC ad p2.
rabolam.
 Demonstratio.
Vneaneur D B, CB: erunc igicur erian.
outa DC B similia: quare ve DC ad
DC, sc DB ad DB; Sed D B cranA aL
ex in =F HIproducune parabolam, igicur
de DC translara in F FI, sectionem pro-
ducuneparabolicam,
1. 11
utane sibi inuicem circuli duo
BC ACD in A de C, e ABC.
quidem circulus cranseac per centrum cir
culi AC. D, ducancurq; ex A rectX AF D.
occurrenres circulo ABC in L, _ AC D
in D: Ponantur aurem per F. R ad FIB, nOr-
FC, quae aequales vel proporcio-
lesII
ie lincis AD.
ie
Dicopuncta B, G esse ad pgrabolare
512eri 3eC : 2111I. csLLVE
Demonstratio. 21 eitq1
etepIa est Laeri
Penacur BHI diamerer, normalis
ecium AC, iunsancura; puneta FYF
ericisirue AD ad AD lincam BvcIIF. 2d HIB.
sedve AD ad AD, sic FC eAt ad FC pertiy.
Dochesims igieur de F C: est ad FG, Ve FTF ad
TTF; CCd FPE cranstarxe in F R G producuncc pa.
rabolam, isicur et s utcula in F. B Cn para botam pPoduCUnE l = 331 2 D∞NOC)
B2gis ∞At V Y 39369: 12 s C1
uacacu L. C ve HIF. quadrarum, ad quadrarum HB, id est vE F HI linca
et
rii
00 tu.
co
dit
110.
625D
2 10D. hu.
1515.IbCF
eRODOSITIO: CCOV.
P ROPOSITIO CCCVI.
Leareoa Pacadora , CM punctu HI: nam F C quadrarum est ad
adlineam FH. onde H. vercex cA par abolX.
P LC.
2OLILISIIII Oa