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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 471, page id 1815201908:0528
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=528
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 61 lines, status machine
# Lines: 61 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.

in
Mer
eum
UI.
ula
10
sed
Itam
FC:
nea
uoi
ad
am
B
5u.
InE
im
AM.
an
B.
M
n.
luS
A
6
6.
in
P A R A BO L A.
eNe, estque angulus BC A seu B C FF equalis angulo R. C1BD DCC criangulum
inile criansulo HIEK igicur cum FO, C A media a sinCHCEC C C. C. B, ellami 1. a Ea odu
cet HL, LK invenca crunC media.
PROPOSITIO, CCLL
AbeanEdux parabolX ABC, AFB communem axem; (IEG: AB
Alinea laceri recto aqualis parabola ABC, ductisque ordinarim
BFC, LD, CE AD E parabola aequalis AFB.
DicO AF, F. D, medias esseinteT F B, B A.
Demonstratio. T120
Voniam AB ex hyporhek est latus rectum patabo -d
la ACB, rectangulum B A F. X quatuT a guadraco.
ED. iBICUEVE B A ad F D, AC F D ad A F. Deinde
quia parabola aequales sunc, aequantur eriam b rectan.
Sula AFD, ABF. FrgODEB A ad F D, sic reciproce
AF. ad B F. sed cum oAtendi vE B A CA E D, SIC ED
eAC 4d AP, erBO VEFD ad AF, SIC AV ad BF. li-
quecisicur quacuor rectas B A, F D, A F, BF esse in con-
tipuganalosia: ee proinde incer B A, BF, medias ese
FD, AF. Ouoderac demonstrandum.
nrsao
PROPOSITIONCOLII
Nter duas datas, duas medias extribere.
2090. Amil Stonnt
rdqri a oet Constructio e demonstratio.
JACE snE AB, BP, quibus ad angulum rectum disposiris deseribe patabolam
AC circaarem AB, cuius rectum lacus aequale sc ipsi AB. occurrac dein-
de BF. parabola AC in C, e circa communem axem A B aliam delcribe parabo-
lam per A _ F. Demumc ducatur ordinacim D F, Faciens lesmenca parabolica 5 Fx 242.
ex precedencimauitecta est.
uiuiso
272
b
=Corol