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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 347, page id 1815201908:0404
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 40 lines, status machine
# Lines: 40 recognised, mean confidence 0.83
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EL. L IPSIS.
quancurs igitur ellipses BF A, CL. B ac proinde csliplis ABC lingutatum dupla
7
aequacuererique limul lumpea. Cuodcrat demontleandum.
DR OPOSTFIO CXCV.
NIrculum ABC. le ec recta quevis AC auferens segmencum ABC:
porcet in aCIP(I E. FC, ad datam diaerrum F. F ordinarim
ducere C, qua scomencum auferac HF C, quod ad elliplim cam ha-
beacrarionem quam ABC segmencum ad circulum ABC.
Constructio es demonstratio.
BD. dein in ellipli P L C
luisa in circulo AB C. rect a aIaIH IM L,aBatur per Lpormalicer diameter
dica L.L dn R, Vcdigita CltBD in L, 284
rurque per R ordinach ea  e, dd fi dametrum, pateci lFC lcmenunt alB9. hu
en alt Cp L L C, HC AB C seomencum est ad circulum ABC. daco ixicur in ius.
circulo lermento, ecc. Ouoderac taciendum.
StO ABC l
PROPOSITIO CREVI
10p
Scomento circulari ADB.
Ceripeum eriangulum quodcunque ABC,
recat luper BC linea legmemun loea aeuale
Constructio es uonstratio.
I
requalis ips DB. qua diuisa in HIbi-
FariaMI duCATUIE PEF FI CX T, CCHTTO
circuli recta IO occurrens F C, li-
nex in O: Cum PCT A, C, C puncta
b ellipsis deleribatur: cuius diamerrt
conyatx sinE AC, TC. e quoniam Le C  IC per excremicacem diametei
moniam LiCME in Plaea aese oenemus ex etemen ellu ulum huinc
(ub CFI. ee reliqua parre diamerri; elle ad rectangulum lub rl. ce telleua palle
diamerriverectansulum sub L M. X reliqua parte dramett ad eclats OLL
ex reliqua parce diameeri. Acquirectangulum lub LM, d Tenqua Palte MaC
645. hniur.
Veacur recta F G parallela dia-
Merro RC concingens circulum
in F, dein per B recta a9atuF D F
parallela diametro AC, hacque BF.
TOparallela, con  P. GuatepS c circulo aequalis cst. Deinde cCorol. 1Bo.