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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 297, page id 1815201908:0354
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est
ELLIP S1S.
Demonstratio.
Voniam eam AB, BC diamceri quam DB, FB
Lconiusacxe lunc, sectores ABC, a FBD aquales
erune: ablaco isitur communi ABD, XqualeS MAMCnE
DBC, ABF sectores. rnde BD, b AB linex, icem
AC, FD in P. de C proporcionalicer sunc divilx.
PROPOSITTO CII.
IIdem posiris:
Dicoiunctas AD, FC aequidistare.
Demonstratio.
DErpraecedentem lectores DB C, ABF OCENS suinE aquales; leSmenta lGIEIE =s0 hudur
DE, CAF quoque inter sC aqUanEUE: ergO AD, FC slinca xquidictanE. Ouod dsr. huinos
rac demonstrandum.
PROPOSITTO CIIL
ECCE ABC ellipsim quaenis diamerrorum
Dconiugatio AC, C D: Sic aurem de alia diame.
trorum coniugatio, FF, OF que iunctas AD,
AC sccet in II _ I:
Dico essere AHI ad HTC, SiC DI ad IA.
Demonstratio.
YCaTUE F G quE AF sCCCE In R. vE A FT ad HIC.
AC FK ad RC: LCdVE FR ad RC, GC DIC est ad
AI, ipirur ve AH ad YYC sic DY adt AI. Ouod cxat
demonArandum.
PROPOSITTO CIV
Ecet ABC ellipsim dia-
meter quacunque BD:
sIE aurem _ F F G, ellip(iS (i-
milis e aqualis ellip(I AB C:
quam secer quaeuis alia dia-
meter FHI: dein BD, FHI
diameeris proportionalicer
diuisIs in LR RL, aGAREUF PCF
I_I, ordinatim lInCx AC,
F O: Cquarum extremitatibus
ducantur semidiametri AL,
CL, FM, OMI.
DICOAL C, E.M C criansula esse requalia.
aCorol. 46.
661. hovino
2. Hit
Demon-