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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 1128, page id 1815201908:1185
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# Lines: 40 recognised, mean confidence 0.90
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QV AD R A TV R A CIR CVET.
Demonstratio.
Veantur, OR, NS parallelae axi
AB; Termentum NOR maius est
lcomento O)NL, vemanifelte pacee
Riungancur puncta ON: _F HIFD
maius eltquam P HIO D. ergo solidum
CxNOR in FHKD, maius eA Ioli-
d0 ex ONI in FO. Sed quia para-
bola lubalcerna sune aequales ec limi-
les, e puncta C e D, aequalicer di-
Aanc ab Fi puncto medio ipsius AB,
aqualiA TUNE SCDMCNEA NOR, ITFP,
_ ETIKD, CMNE. Ergo Colidum
ex TTEP in CMNE, maius cstlolido
ex OHT in F O. PERECTCA MNS
maius est quam MNI (VEpacecCIuM-
Bancur puncta NM,; _E C FTI F maius
eAt quam CP. ergo Tolidum ex MNS
in CFHIE, maius eAt Colido ex MNI
in C P. ICdMNS, RTIO, _CFTIF.
ENOD suncincer se aequalia. ergolo.
lidum Cx RFTO in FNOD, maius
est Tolidoex MNT in C P. Dgicur Colida SIUL SuMPEA qUE RuNE CX HFP, RETO in
CMIE, P. NOD maiora lunc Colidis AIMUL (UM PEIS QUA AUnE Cx ONL, NMI in
E O. C P. Duod erac demonstrandum.
PROPOSITIO XLVII.
Vod E axc AB bisecto in L rectX AL, B L dividantur in quorcum-
Lque parces aequales, ductisque per diutionum puneta C, I, IE, L, MI,
TI O lineis parallelis ad axem normalibus compleantur cam rectangula
C0, Id, KV, L T, MX, EO qua cadune inera parabolam APE, quam
rectansula Ca, IO, RX, L. S, MZ, HI t qux sunc partim inera parabo-
lam ABF, pATEIML CXETA:
Dico Tolida simul Cumpra quae hunc ex leomenris parabolicis e 8,
DNS NPV, RPT, _EERX, F. vR in parabolica SCBENTA C XFI,
TFBKL, RBOL, LBaMI, MaGHI, HCEO maiora esse Colidis simul
sumpris, quX producuneuE ex Legmentis XAF, FOB, YBD, SD0, aCZ,
CYE inrectanigula CP, Id, HV, L. T, MX, FTV: acqueira licee in in-
sinicum procedatur, semper idem cueniet.
Demon-