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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 354, page id 1815201908:0411
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=411
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 29 lines, status machine
# Lines: 29 recognised, mean confidence 0.82
# 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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aen mun i
ELLIPSTS
eROPOSTTTO CCIV.
Lpi inscriprum Cepolygonum resaace, Maaucem coniugatarum
aequalium sic OP, ad gnam sic oratmarim R3.
Dico quadrata larerum polygoni limul lumpea esse ad corum polygo.
num velinca RS ad dimidium rectae YO.
Demonstraiio
VCaNTUE Ex A, B, C, D, LIL, C, H, R, S punctis semidiamceri. Ouoniam RS
60. h- legmencum per contcructionem cst aqualescemento AB, cric. ec criangulum
115, e C0-
roll. cinsae.
Sxquale criangulo QB: similicer ostendam criangula lingula B( C, C QD.
_C. aequarieriansulo ROS: adeoque R OS criangulum octies sumprum aequale
b 106. hn- cori polroono: cA aucem b RS quadracum octies Cumprum aequale quadracis om-
nium lacerum polrooni; isicuere R S quadracum octies sumprum est ad criangu-
lum ROS odies sumprum hoc eA ve R Squadracum Cemel sumprum 2d R, 1, S,
eriarigulum semel sumpeum, ica omnia quadeaca lacerum polygoni ad corum poly.
Bonum. Sed cum RS quadearum sic ad rectangulum super R S, T O, vE R S linca
adlncam TQ. crie RS quadrarum ad criangulum R S, dimidium rectanguli
RS, T Q vE RS linea ad dimidium recta F Q. igicur, ec omna quadeaca lacerum
polyxonilunc ad cocum polygonum veR S linca ad dimidium linex F 9. Quod
etac demonltrandum.
juse
a01OSII1O. CC
Acis axibus ex diamerro ellip leosinuenireillius coniusaram de poli.
cione cula dats datb e eontiruere ellipli.
Constru
i .  .       p  n et  u  t   p  on  A p  ut  u            t.   eate    at    apn