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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 790, page id 1815201908:0847
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3
DVCTVS PL A NL
PROPOSITIO CXZXII
tiant aurem proportionales F. D, BD, OD ee per AOC puncta parabo.
la deleribarur habens axem OD.
H H HI X H H XE X
Dico L. K letelrculum du-
IVper ABC semicirculi diamerro AC, descriprum sic rectangulum
quodcunque AC matoren savens semcirculo alcirudinem LD.
ctum insc, xequale proterre cor-
45. tob.
Dus, illi Guou eitur ex L l para
Beracula in alcicudinem F. Id.
Demonistratio.
VCanCL MMMILE AIR L L parallele
ad D F. Duoniam F. C, BD.
orcionales, et AOC Parabola cl
proporcionales quoque cruncHtL, KL.
lL: lemicirculusigirur a L. K ducus
(Cs XqUREUE P. P parabola ducta in aMudinem F. D vel L. II.
IIdem POnts:
L
Dico pracu SIL auccum in RL corpus producere aquale ilti
quodoricur ex IK ducto in alcicudinem DF. vel L. FI.
PROPOSLTIO CXXXIII
eenstt abibo
Gulaisitur KTP. HI xquancur LCCaBAS LIRKL. quare b HI K ductum in X L
aequatur IK ducto in alcicudinem F. D vel F. FI.
Bystuim. DRopOcTiONales tunE LIB L K, L. I. IBICUEVE L H NAXL, SiC HK aAX L: rectan-
PROPOSIFIO CXZRIV
VEmicirculi A B D diameMt AV, BF ad angulos intistant tectos: de-
aScripeoG; Super AD Dal scelatigulo minorem habenre alcicudinem
quam sic BF, hanc ploporrionales F C, FB; FN: _ sper A, F, D puncra
uu eatut Aabens axeri P F..)
Meo temtencutu daecum
udacmersicea L.K parabola du
Demonstratio.
in Cc, aquale corpus proterre ille
eraim alilcallinem lK.
euncur munica RIH L paranela
occiduates lunera t.C parabo
adt F F. quoniam F H, FiB, FN
CA. rectEquOque RE, RII, K L pEOPO
cionales lunc. quare c TIR lemicireulu
ductus MAGUREUE L. K Parabola du
an o udtuom L. K.
PR C