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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 299, page id 1815201908:0356
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EL LI P SIS.
PROPOSITTO CVI
Ecet ABC epl quems ciamerrorum coningario C.B, l.t, qui.
us ploportionalucer dinilis in O ec P: ducatur vna ex diamerris
Comuraris aequalibus AS que dividarur in N, ve C D est diuila in O.
per NOP rectae ducantur ordinacim GFI, II, L. MI.
Dico IK, L. MI quadrara simul sumpea esse dupla quadrari OFI.
Demonstratio.
Veacur altera conusatarum aequalium OR, qua limilirer diuisd in L, ve SA
est in DY. _ CD, F F, in O ∞ P. per punctum Z ponatur ordinacim V T. quia
igitur O R, AS sun xquales de similicer secte, rectangulum (Z R RQVATUEKC
Ccangulo ANS. sed rectangula OZ R, ANS axequancur quadraris GN, I L. CF - ∞
 hadis.
205. BH-
30quadraca CNI, T L adeoque d quadrata GII, TV aequalia Tunc. sed quadraca ins.
ME, IR b aequancur quadratis V T, CHI. ergo quadrara M P, TK dupla Cune qua-
draci GFI. uod erac demonstrandum.
PROTOSIIIO CYI
NECeNE ABC ellipsim dux diaCETOTUM COnIUSATIONES AB, CD,
DEF, GHI: (IEquE AB maxima e P. F magnicudine secunda.
Dicorationem AB ad P. F minorem esse ratione CH ad C. D.
Demonstratio.
roniam AB, CD quadraca simil sumpea aequalia
a Guadracis F F, CTI limul sumpris: non eAtve
AB ad F F, siC GFF ad CD, nam eunc quadraca AB.
CD maxime e minimx maiora essene quadratis P F,
CFI. hacigieur ve AB adt F F, ScOHI ad CI: crune.
que AB, C I quadrata maiora quadratis F F, G FI, hOC
est quadracis AB, C D. quare C P linea est maior rect â
CD,ex rario CTI ad C D; id est ex constr. racio AB
ad F. F minor est catione CH ad C D. Duod etut de
monctrandum.