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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 467, page id 1815201908:0524
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=524
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 74 lines, status machine
# Lines: 74 recognised, mean confidence 0.78
# 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.

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103-
c d
dem
eri.
a
10-
md
ter.
Cxi.
Olas
qua
un
2t
40
6
BC
P A R A BO L. A.
PROPOSITTO CCKLI.
DArabolam AB C secent dux quaenis parallelae AC, D F.. 1 (ie.
Dico A. BC parabolam ad D B F. parabolam esse in criplieata ra-
tiOnC AC adDF.
Demonstratio.
SOd CameteE BF ad quam ordinacim
DOLICA (INE AC, LF. ParabOla ABC ad
DBF Parabolam eam habectarionem, quam
eriansulum sub A C _ B F ad eriangulum (ub
DE. eE B C: Sed raciorrianguli sub A C _ BF,
ad criangulu sib D F _x B G est eriplicaca ra- D
tionis AC ad D F, quia compolica ex ratione
AC ad DL, de BF 2d BG, hocEs ex dupli-rG e
cata racione AC ad D P; isicut AB C parabola est ad parabolam D BB I cripli-.
caca rarione AC ad D L. Guod tuie demonstrandum. il tir. A.
P R O P OS ITIO NCCXLVI.
DAcabolam AB C contingat in B linca FB, COnuEmCHS CUM alaHIC
 ETO quacUnque AE in F, iunsaNEuLQ AB.
Dico fguram concauam BF A L B, duplam esse conuexa BF ACB.
en Demonstratio.
DOnacur ex B, ordinacim A C ad diametrum
A D. OuOnIaM BR CAt COLIHSCHS, CTIE AD,
AP linca aequales, adeoque ABD, ABF
criangula aequalia: est aurem AB D criangu-
lum criplum c segmenti BF ACB, igItUF ec
criansulu A B P eriplum eA Ccomenci BF AC+B.
relidua isicur Agura Concaua BF AF B dupla
CA CONLEKX BE A C B. Ouod crac demon-
strandum.
PR OPOSITIO, 
Incad ABC parabolx diamerrum AD, ordinac polIcX DC, GB:
unctisq; AB, eC ponatur per A ae quidistans ipli l C, Oecurrensere-
Atis et B ex C, diamerris in F _ F.
Dico esle M ABF criangulum ad criangulum AIC L due ABC ad
AC D criangulum, SIC AFIB F A figura concaua ad figuram AFL C L. A
Demonstratio.
E
II
TT ABC eriansutum a tatrgulum ACD, CC
AHIBlegmencum dadlesmcit LBC, tell
ra ad HSuram BC BCunc ATIBF duplum CIC
(eomenei AHIB, X AB CP duplum ABC; igitur
ve criangulum ABC ad ACD criangulum, sC
AHBF figura ad figuram ABCF. Ouod eratde
ohAtrandum.
VE ATIB ad ABC segmentum, (IC AHTBF figU.
Nn
D EX
hains
ecor
2
n
ha
2. ha-
i
ni