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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 610, page id 1815201908:0667
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610
HY P ERBOL A.
PROPOSITTO CLITI
Illemposicis astumatur punctum D in parce parabola, quae concauz
ranc typerbola in YI d l. 
1et 33
n2 demonlanlum.
3id sirit beise 
Demonstratio.
BONAEUITPEF P LinCZ MEK ParaI-
leta BG. racio O F ad. C K, id
es CF, duplicaca est rarionis
F ad GD, id cAt, MIB ad BI.
destL HI ad M F. ergo duplum
est spacium F. COF, quancicaris
EM L FT. CA auceN DF CO, du
lum spacii DL ML, vec octendi–
siduum D E P duptum est relidui DHF: quod tuic
rEcerirerum, reprius, parabola BD P hyperbolam in D, de ex qui
Abuluis punctis E d K; in parabol2 asumpEIS, PONANEUF F A, LC,
L, IEMI asymproris aquidistances, secance sq. hyperbolam in F, C1, O, N.
Dico spacium E. D C ad H F. C. N eandem habererationem quam tra-
bec quanticas E. FD ad quancicarem KOF F.
Demonstratio.
St ehim per praecedenrem (p2.
eium F. D C: spacii F F D duplum
_E KDN spacii KODK: CrgC
ED C es ad rCGdUUm RR CTI, et
CAE F D ad FCLIAUUI R O F P: quod
erac demonstrandum.
AO+ SITIO CLV.
Lhyperbolx P HTF Coninetur, ducti (que ve ante DL, DO quX OcCur
Dico sparium D F. F duplum esse quancicatis HIED. a
rabc
b. 129. bu
musL
OSIF 1O CL IV. 1
Idem potls:
ddeoq. CMt lesmecu dpulesmenri L. I.
Dicorationem NM al _ apiicacum esserationis L. O ad FA,
Demonstratio.
174 muini ZYFNM ad OC, ECd BC 2d BM: sed BC ad BM, duplicacam C habCE rA
1. depara- eionem E C 2d KM; id est LLD al LD, IU CA LOL A: raciO iBIEUFNM
(74. huius. 2d C C duplicara est rationis L.  L A. quare _E S CML LEGMENEUM AuPIII M
bt
erigitu. sexmenri L. P. O voderac demonistrandum.
PR