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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 268, page id 1815201908:0325
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Corollarium ecundum.
L L. +D 5+S.
policione et corollario pritmo,  ao immacaco. quam quod 10c926. blius astil-
menda sic vigesima Sepea.  E
ROPOSFFIO X P V. Domloqiirilu
 B5
IE AB C ellipsis diameter quaclnque BD ad quam ordinacim pond
Demonstratio.
rnais AB. C B, inceribaneur asesmenisre.
liguis eriangula maxima A C B, C HIB CrUNE
illa perprimum Corolli praecedencis propoli
cionis inter se aequalia e bmaiora dimidio se.
ementorum ABG, CBHI: dein ex reliduis v.
erimque seomeneis criangula inscribaneue
maxima AR C, GIB, CMIT, BLEI crune
veprius criangula AR C, C: IB parrim PeF CO-
rollar. primum, parcim per sccundum equalia
criangulis CMHI, BLII. e maiora dimidijo
legmentorums igicur cum ca inscripeio semper
Possic concinuari in veroque segmento AC+B,
BITC, de verimque parces ablaca line incer le
aequales; ex maiores dimidio, leomentoru a qui-
bus anteruntur, constacc A C B segmencum a
quale cseseomento C FIB. Ouare addicis X-
qualibus criangulis ABF, C BF CFHME FOtA
legmenca AC, BF. C FIBF xequalia. Duod erac demonstrandum.
Corollarium.
Inc seouicur d quauis diamerro ellipsim Bifariam se cari: sic enim diamerex qua-
Luis BD, et ducatur per quoduis illius punctum ordinacim A F C, per provon-
tionem iam demonstraram segmencum AB F, Segmenco B CF, xquacur. rurlum
pereandem proposicione lesmentum AD F, sermento C D F aquale cAt. erro se-
GmenEA A BF, AD F, hoc est eorum segmentum D AB, xquantur Segmentis B C F.
CDF, hoc elt cori sesmenco D CB; bitariam isicur diuila est cllipsis à diame.
EO BD.
Vod E Fuerinc Binae A C, F. C ad diamerrum ordinacimi pohtae, iunganicurque
FA, CC, criangula quae leomencis AF, C Ct inscribuntur maxima, incer se
quoque agnalia esse, eodem plane discursu demonstrabimus, quorsi sumus in pro-
AFC
Dico ACBF Segmentum aquari segmento CH BF.
Laeooli ali
elpl    Luncincex (C COnIUS AIX.
lamerri dux coniusacx ollipsim quadritariam dividune, de diametrt
12. huins.
rsion.
Demon
ut  t  s B    1   ute tu p t le et patet  e   s   e cu p   e e   et   e  e  a   e a s e  u al te e e stu et et  l p